14422b0
ccd63d1
14422b0
ccd63d1
14422b0
6d6a6aa
6b48067
6d6a6aa
18550fb
6d6a6aa
18550fb
6d6a6aa
6b48067
6d6a6aa
6b48067
14422b0
6b48067
14422b0
6b48067
ccd63d1
6b48067
14422b0
6b48067
14422b0
6b48067
14422b0
6b48067
14422b0
6b48067
14422b0
6b48067
14422b0
6b48067
14422b0
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
18550fb
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
ccd63d1
6b48067
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
ccd63d1
14422b0
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224 4225 4226 4227 4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313 4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341 4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383 4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397 4398 4399 4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441 4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655 4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669 4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769 4770 4771 4772 4773 4774 4775 4776 4777 4778 4779 4780 4781 4782 4783 4784 4785 4786 4787 4788 4789 4790 4791 4792 4793 4794 4795 4796 4797 4798 4799 4800 4801 4802 4803 4804 4805 4806 4807 4808 4809 4810 4811 4812 4813 4814 4815 4816 4817 4818 4819 4820 4821 4822 4823 4824 4825 4826 4827 4828 4829 4830 4831 4832 4833 4834 4835 4836 4837 4838 4839 4840 4841 4842 4843 4844 4845 4846 4847 4848 4849 4850 4851 4852 4853 4854 4855 4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869 4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913 4914 4915 4916 4917 4918 4919 4920 4921 4922 4923 4924 4925 4926 4927 4928 4929 4930 4931 4932 4933 4934 4935 4936 4937 4938 4939 4940 4941 4942 4943 4944 4945 4946 4947 4948 4949 4950 4951 4952 4953 4954 4955 4956 4957 4958 4959 4960 4961 4962 4963 4964 4965 4966 4967 4968 4969 4970 4971 4972 4973 4974 4975 4976 4977 4978 4979 4980 4981 4982 4983 4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 4995 4996 4997 4998 4999 5000 5001 5002 5003 5004 5005 5006 5007 5008 5009 5010 5011 5012 5013 5014 5015 5016 5017 5018 5019 5020 5021 5022 5023 5024 5025 5026 5027 5028 5029 5030 5031 5032 5033 5034 5035 5036 5037 5038 5039 5040 5041 5042 5043 5044 5045 5046 5047 5048 5049 5050 5051 5052 5053 5054 5055 5056 5057 5058 5059 5060 5061 5062 5063 5064 5065 5066 5067 5068 5069 5070 5071 5072 5073 5074 5075 5076 5077 5078 5079 5080 5081 5082 5083 5084 5085 5086 5087 5088 5089 5090 5091 5092 5093 5094 5095 5096 5097 5098 5099 5100 5101 5102 5103 5104 5105 5106 5107 5108 5109 5110 5111 5112 5113 5114 5115 5116 5117 5118 5119 5120 5121 5122 5123 5124 5125 5126 5127 5128 5129 5130 5131 5132 5133 5134 5135 5136 5137 5138 5139 5140 5141 5142 5143 5144 5145 5146 5147 5148 5149 5150 5151 5152 5153 5154 5155 5156 5157 5158 5159 5160 5161 5162 5163 5164 5165 5166 5167 5168 5169 5170 5171 5172 5173 5174 5175 5176 5177 5178 5179 5180 5181 5182 5183 5184 5185 5186 5187 5188 5189 5190 5191 5192 5193 5194 5195 5196 5197 5198 5199 5200 5201 5202 5203 5204 5205 5206 5207 5208 5209 5210 5211 5212 5213 5214 5215 5216 5217 5218 5219 5220 5221 5222 5223 5224 5225 5226 5227 5228 5229 5230 5231 5232 5233 5234 5235 5236 5237 5238 5239 5240 5241 5242 5243 5244 5245 5246 5247 5248 5249 5250 5251 5252 5253 5254 5255 5256 5257 5258 5259 5260 5261 5262 5263 5264 5265 5266 5267 5268 5269 5270 5271 5272 5273 5274 5275 5276 5277 5278 5279 5280 5281 5282 5283 5284 5285 5286 5287 5288 5289 5290 5291 5292 5293 5294 5295 5296 5297 5298 5299 5300 5301 5302 5303 5304 5305 5306 5307 5308 5309 5310 5311 5312 5313 5314 5315 5316 5317 5318 5319 5320 5321 5322 5323 5324 5325 5326 5327 5328 5329 5330 5331 5332 5333 5334 5335 5336 5337 5338 5339 5340 5341 5342 5343 5344 5345 5346 5347 5348 5349 5350 5351 5352 5353 5354 5355 5356 5357 5358 5359 5360 5361 5362 5363 5364 5365 5366 5367 5368 5369 5370 5371 5372 5373 5374 5375 5376 5377 5378 5379 5380 5381 5382 5383 5384 5385 5386 5387 5388 5389 5390 5391 5392 5393 5394 5395 5396 5397 5398 5399 5400 5401 5402 5403 5404 5405 5406 5407 5408 5409 5410 5411 5412 5413 5414 5415 5416 5417 5418 5419 5420 5421 5422 5423 5424 5425 5426 5427 5428 5429 5430 5431 5432 5433 5434 5435 5436 5437 5438 5439 5440 5441 5442 5443 5444 5445 5446 5447 5448 5449 5450 5451 5452 5453 5454 5455 5456 5457 5458 5459 5460 5461 5462 5463 5464 5465 5466 5467 5468 5469 5470 5471 5472 5473 5474 5475 5476 5477 5478 5479 5480 5481 5482 5483 5484 5485 5486 5487 5488 5489 5490 5491 5492 5493 5494 5495 5496 5497 5498 5499 5500 5501 5502 5503 5504 5505 5506 5507 5508 5509 5510 5511 5512 5513 5514 5515 5516 5517 5518 5519 5520 5521 5522 5523 5524 5525 5526 5527 5528 5529 5530 5531 5532 5533 5534 5535 5536 5537 5538 5539 5540 5541 5542 5543 5544 5545 5546 5547 5548 5549 5550 5551 5552 5553 5554 5555 5556 5557 5558 5559 5560 5561 5562 5563 5564 5565 5566 5567 5568 5569 5570 5571 5572 5573 5574 5575 5576 5577 5578 5579 5580 5581 5582 5583 5584 5585 5586 5587 5588 5589 5590 5591 5592 5593 5594 5595 5596 5597 5598 5599 5600 5601 5602 5603 5604 5605 5606 5607 5608 5609 5610 5611 5612 5613 5614 5615 5616 5617 5618 5619 5620 5621 5622 5623 5624 5625 5626 5627 5628 5629 5630 5631 | <!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Complete Deep Learning & Computer Vision Curriculum</title>
<style>
* {
margin: 0;
padding: 0;
box-sizing: border-box;
}
:root {
--bg: #0f1419;
--surface: #1a1f2e;
--text: #e4e6eb;
--text-dim: #b0b7c3;
--cyan: #00d4ff;
--orange: #ff6b35;
--green: #00ff88;
--yellow: #ffa500;
}
body {
font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, sans-serif;
background: var(--bg);
color: var(--text);
line-height: 1.6;
overflow-x: hidden;
}
.container {
max-width: 1400px;
margin: 0 auto;
padding: 20px;
}
header {
text-align: center;
margin-bottom: 40px;
padding: 30px 0;
border-bottom: 2px solid var(--cyan);
}
h1 {
font-size: 2.5em;
background: linear-gradient(135deg, var(--cyan), var(--orange));
background-clip: text;
-webkit-background-clip: text;
-webkit-text-fill-color: transparent;
margin-bottom: 10px;
}
.subtitle {
color: var(--text-dim);
font-size: 1.1em;
}
.dashboard {
display: none;
}
.dashboard.active {
display: block;
}
.grid {
display: grid;
grid-template-columns: repeat(auto-fit, minmax(280px, 1fr));
gap: 25px;
margin: 40px 0;
}
.card {
background: linear-gradient(135deg, rgba(0, 212, 255, 0.1), rgba(255, 107, 53, 0.1));
border: 2px solid var(--cyan);
border-radius: 12px;
padding: 30px;
cursor: pointer;
transition: all 0.3s ease;
text-align: center;
}
.card:hover {
transform: translateY(-5px);
box-shadow: 0 10px 30px rgba(0, 212, 255, 0.2);
border-color: var(--orange);
}
.card-icon {
font-size: 3em;
margin-bottom: 15px;
}
.card h3 {
color: var(--cyan);
font-size: 1.5em;
margin-bottom: 10px;
}
.card p {
color: var(--text-dim);
font-size: 0.95em;
}
.category-label {
display: inline-block;
margin-top: 10px;
padding: 5px 12px;
background: rgba(0, 212, 255, 0.2);
border-radius: 20px;
font-size: 0.85em;
color: var(--green);
}
.module {
display: none;
}
.module.active {
display: block;
animation: fadeIn 0.3s ease;
}
@keyframes fadeIn {
from {
opacity: 0;
}
to {
opacity: 1;
}
}
.btn-back {
padding: 10px 20px;
background: var(--orange);
color: var(--bg);
border: none;
border-radius: 6px;
cursor: pointer;
font-weight: 600;
margin-bottom: 25px;
transition: all 0.3s ease;
}
.btn-back:hover {
background: var(--cyan);
}
.tabs {
display: flex;
gap: 10px;
margin-bottom: 30px;
flex-wrap: wrap;
justify-content: center;
border-bottom: 1px solid rgba(0, 212, 255, 0.2);
padding-bottom: 15px;
overflow-x: auto;
}
.tab-btn {
padding: 10px 20px;
background: var(--surface);
color: var(--text);
border: 2px solid transparent;
border-radius: 6px;
cursor: pointer;
font-size: 0.95em;
transition: all 0.3s ease;
font-weight: 500;
white-space: nowrap;
}
.tab-btn:hover {
background: rgba(0, 212, 255, 0.1);
border-color: var(--cyan);
}
.tab-btn.active {
background: var(--cyan);
color: var(--bg);
border-color: var(--cyan);
}
.tab {
display: none;
}
.tab.active {
display: block;
animation: fadeIn 0.3s ease;
}
.section {
background: var(--surface);
border: 1px solid rgba(0, 212, 255, 0.2);
border-radius: 10px;
padding: 30px;
margin-bottom: 25px;
transition: all 0.3s ease;
}
.section:hover {
border-color: var(--cyan);
box-shadow: 0 0 20px rgba(0, 212, 255, 0.1);
}
h2 {
color: var(--cyan);
font-size: 1.8em;
margin-bottom: 15px;
}
h3 {
color: var(--orange);
font-size: 1.3em;
margin-top: 20px;
margin-bottom: 12px;
}
h4 {
color: var(--green);
font-size: 1.1em;
margin-top: 15px;
margin-bottom: 10px;
}
p {
margin-bottom: 15px;
line-height: 1.8;
}
ul {
margin-left: 20px;
margin-bottom: 15px;
}
ul li {
margin-bottom: 8px;
}
.info-box {
background: linear-gradient(135deg, rgba(0, 212, 255, 0.1), rgba(255, 107, 53, 0.1));
border: 1px solid var(--cyan);
border-radius: 8px;
padding: 20px;
margin: 20px 0;
}
.box-title {
color: var(--orange);
font-weight: 700;
margin-bottom: 10px;
font-size: 1.1em;
}
.box-content {
color: var(--text-dim);
line-height: 1.7;
}
.formula {
background: rgba(0, 212, 255, 0.1);
border: 1px solid var(--cyan);
border-radius: 8px;
padding: 20px;
margin: 20px 0;
font-family: 'Courier New', monospace;
overflow-x: auto;
line-height: 1.8;
color: var(--cyan);
}
.callout {
border-left: 4px solid;
padding: 15px;
margin: 20px 0;
border-radius: 6px;
}
.callout.tip {
border-left-color: var(--green);
background: rgba(0, 255, 136, 0.05);
}
.callout.warning {
border-left-color: var(--yellow);
background: rgba(255, 165, 0, 0.05);
}
.callout.insight {
border-left-color: var(--cyan);
background: rgba(0, 212, 255, 0.05);
}
.callout-title {
font-weight: 700;
margin-bottom: 8px;
}
.list-item {
display: flex;
gap: 12px;
margin: 12px 0;
padding: 12px;
background: rgba(0, 212, 255, 0.05);
border-left: 3px solid var(--cyan);
border-radius: 4px;
}
.list-num {
color: var(--orange);
font-weight: 700;
min-width: 30px;
}
table {
width: 100%;
border-collapse: collapse;
margin: 20px 0;
}
th,
td {
padding: 12px;
text-align: left;
border: 1px solid rgba(0, 212, 255, 0.2);
}
th {
background: rgba(0, 212, 255, 0.1);
color: var(--cyan);
font-weight: 700;
}
.viz-container {
background: rgba(0, 212, 255, 0.02);
border: 1px solid rgba(0, 212, 255, 0.2);
border-radius: 8px;
padding: 20px;
margin: 20px 0;
display: flex;
justify-content: center;
overflow-x: auto;
}
.viz-controls {
display: flex;
gap: 10px;
margin-top: 20px;
justify-content: center;
flex-wrap: wrap;
}
.btn-viz {
padding: 10px 20px;
background: var(--cyan);
color: var(--bg);
border: none;
border-radius: 6px;
font-weight: 600;
cursor: pointer;
font-size: 0.95em;
transition: all 0.3s ease;
}
.btn-viz:hover {
background: var(--orange);
transform: scale(1.05);
}
canvas {
max-width: 100%;
height: auto;
}
@media (max-width: 768px) {
h1 {
font-size: 1.8em;
}
.tabs {
flex-direction: column;
}
.tab-btn {
width: 100%;
}
.grid {
grid-template-columns: 1fr;
}
canvas {
width: 100% !important;
height: auto !important;
}
}
</style>
</head>
<body>
<div class="container">
<div id="dashboard" class="dashboard active">
<header>
<h1>🧠 Complete Deep Learning & Computer Vision</h1>
<p class="subtitle">Comprehensive Curriculum | Foundations to Advanced Applications</p>
</header>
<div style="text-align: center; margin-bottom: 40px;">
<p style="color: var(--text-dim); font-size: 1.1em;">
Master all aspects of deep learning and computer vision. 25+ modules covering neural networks, CNNs,
object detection, GANs, and more.
</p>
</div>
<div class="grid" id="modulesGrid"></div>
</div>
<div id="modulesContainer"></div>
</div>
<script>
const modules = [
// Module 1: Deep Learning Foundations
{
id: "nn-basics",
title: "Introduction to Neural Networks",
icon: "🧬",
category: "Foundations",
color: "#0088ff",
description: "Biological vs. Artificial neurons and network architecture"
},
{
id: "perceptron",
title: "The Perceptron",
icon: "⚙️",
category: "Foundations",
color: "#0088ff",
description: "Single layer networks and their limitations"
},
{
id: "mlp",
title: "Multi-Layer Perceptron (MLP)",
icon: "🏗️",
category: "Foundations",
color: "#0088ff",
description: "Hidden layers and deep architectures"
},
{
id: "activation",
title: "Activation Functions",
icon: "⚡",
category: "Foundations",
color: "#0088ff",
description: "Sigmoid, ReLU, Tanh, Leaky ReLU, ELU, Softmax"
},
{
id: "weight-init",
title: "Weight Initialization",
icon: "🎯",
category: "Foundations",
color: "#0088ff",
description: "Xavier, He, Random initialization strategies"
},
{
id: "loss",
title: "Loss Functions",
icon: "📉",
category: "Foundations",
color: "#0088ff",
description: "MSE, Binary Cross-Entropy, Categorical Cross-Entropy"
},
{
id: "optimizers",
title: "Optimizers",
icon: "🎯",
category: "Training",
color: "#00ff00",
description: "SGD, Momentum, Adam, Adagrad, RMSprop"
},
{
id: "backprop",
title: "Forward & Backpropagation",
icon: "⬅️",
category: "Training",
color: "#00ff00",
description: "Chain rule and gradient computation"
},
{
id: "regularization",
title: "Regularization",
icon: "🛡️",
category: "Training",
color: "#00ff00",
description: "L1/L2, Dropout, Early Stopping, Batch Norm"
},
{
id: "batch-norm",
title: "Batch Normalization",
icon: "⚙️",
category: "Training",
color: "#00ff00",
description: "Stabilizing and speeding up training"
},
// Module 2: Computer Vision Fundamentals
{
id: "cv-intro",
title: "CV Fundamentals",
icon: "👁️",
category: "Computer Vision",
color: "#ff6b35",
description: "Why ANNs fail with images, parameter explosion"
},
{
id: "conv-layer",
title: "Convolutional Layers",
icon: "🖼️",
category: "Computer Vision",
color: "#ff6b35",
description: "Kernels, filters, feature maps, stride, padding"
},
{
id: "pooling",
title: "Pooling Layers",
icon: "📦",
category: "Computer Vision",
color: "#ff6b35",
description: "Max pooling, average pooling, spatial reduction"
},
{
id: "cnn-basics",
title: "CNN Architecture",
icon: "🏗️",
category: "Computer Vision",
color: "#ff6b35",
description: "Combining conv, pooling, and fully connected layers"
},
{
id: "viz-filters",
title: "Visualizing CNNs",
icon: "🔍",
category: "Computer Vision",
color: "#ff6b35",
description: "What filters learn: edges → shapes → objects"
},
// Module 3: Advanced CNN Architectures
{
id: "lenet",
title: "LeNet-5",
icon: "🔢",
category: "CNN Architectures",
color: "#ff00ff",
description: "Classic digit recognizer (MNIST)"
},
{
id: "alexnet",
title: "AlexNet",
icon: "🌟",
category: "CNN Architectures",
color: "#ff00ff",
description: "The breakthrough in deep computer vision (2012)"
},
{
id: "vgg",
title: "VGGNet",
icon: "📊",
category: "CNN Architectures",
color: "#ff00ff",
description: "VGG-16/19: Deep networks with small filters"
},
{
id: "resnet",
title: "ResNet",
icon: "🌉",
category: "CNN Architectures",
color: "#ff00ff",
description: "Skip connections, solving vanishing gradients"
},
{
id: "inception",
title: "InceptionNet (GoogLeNet)",
icon: "🎯",
category: "CNN Architectures",
color: "#ff00ff",
description: "1x1 convolutions, multi-scale feature extraction"
},
{
id: "mobilenet",
title: "MobileNet",
icon: "📱",
category: "CNN Architectures",
color: "#ff00ff",
description: "Depth-wise separable convolutions for efficiency"
},
{
id: "transfer-learning",
title: "Transfer Learning",
icon: "🔄",
category: "CNN Architectures",
color: "#ff00ff",
description: "Fine-tuning and leveraging pre-trained models"
},
// Module 4: Object Detection & Segmentation
{
id: "localization",
title: "Object Localization",
icon: "📍",
category: "Detection",
color: "#00ff00",
description: "Bounding boxes and classification together"
},
{
id: "rcnn",
title: "R-CNN Family",
icon: "🎯",
category: "Detection",
color: "#00ff00",
description: "R-CNN, Fast R-CNN, Faster R-CNN"
},
{
id: "yolo",
title: "YOLO",
icon: "⚡",
category: "Detection",
color: "#00ff00",
description: "Real-time object detection (v3, v5, v8)"
},
{
id: "ssd",
title: "SSD",
icon: "🚀",
category: "Detection",
color: "#00ff00",
description: "Single Shot MultiBox Detector"
},
{
id: "semantic-seg",
title: "Semantic Segmentation",
icon: "🖌️",
category: "Segmentation",
color: "#00ff00",
description: "Pixel-level classification (U-Net)"
},
{
id: "instance-seg",
title: "Instance Segmentation",
icon: "👥",
category: "Segmentation",
color: "#00ff00",
description: "Mask R-CNN and separate object instances"
},
{
id: "face-recog",
title: "Face Recognition",
icon: "👤",
category: "Segmentation",
color: "#00ff00",
description: "Siamese networks and triplet loss"
},
// Module 5: Generative Models
{
id: "autoencoders",
title: "Autoencoders",
icon: "🔀",
category: "Generative",
color: "#ffaa00",
description: "Encoder-decoder, latent space, denoising"
},
{
id: "gans",
title: "GANs (Generative Adversarial Networks)",
icon: "🎮",
category: "Generative",
color: "#ffaa00",
description: "Generator vs. Discriminator, DCGAN"
},
{
id: "diffusion",
title: "Diffusion Models",
icon: "🌊",
category: "Generative",
color: "#ffaa00",
description: "Foundation of Stable Diffusion and DALL-E"
},
// Additional Advanced Topics
{
id: "rnn",
title: "RNNs & LSTMs",
icon: "🔄",
category: "Sequence",
color: "#ff6b35",
description: "Recurrent networks for sequential data"
},
{
id: "transformers",
title: "Transformers",
icon: "🔗",
category: "Sequence",
color: "#ff6b35",
description: "Attention mechanisms and modern architectures"
},
{
id: "bert",
title: "BERT & NLP Transformers",
icon: "📚",
category: "NLP",
color: "#ff6b35",
description: "Bidirectional transformers for language"
},
{
id: "gpt",
title: "GPT & Language Models",
icon: "💬",
category: "NLP",
color: "#ff6b35",
description: "Autoregressive models and text generation"
},
{
id: "vit",
title: "Vision Transformers (ViT)",
icon: "🎨",
category: "Vision",
color: "#ff6b35",
description: "Transformers applied to image data"
},
{
id: "gnn",
title: "Graph Neural Networks",
icon: "🕸️",
category: "Advanced",
color: "#9900ff",
description: "Deep learning on non-Euclidean graph data"
}
];
// Comprehensive content for all modules
const MODULE_CONTENT = {
"nn-basics": {
overview: `
<h3>What are Neural Networks?</h3>
<p>Neural Networks are computational models inspired by the human brain's structure. They consist of interconnected nodes (neurons) organized in layers that process information through weighted connections.</p>
<h3>Why Use Neural Networks?</h3>
<ul>
<li><strong>Universal Approximation:</strong> Can theoretically approximate any continuous function</li>
<li><strong>Feature Learning:</strong> Automatically discover representations from raw data</li>
<li><strong>Adaptability:</strong> Learn from examples without explicit programming</li>
<li><strong>Parallel Processing:</strong> Highly parallelizable for modern hardware</li>
</ul>
<div class="callout tip">
<div class="callout-title">✅ Advantages</div>
• Non-linear problem solving<br>
• Robust to noisy data<br>
• Works with incomplete information<br>
• Continuous learning capability
</div>
<div class="callout warning">
<div class="callout-title">⚠️ Disadvantages</div>
• Requires large amounts of training data<br>
• Computationally expensive<br>
• "Black box" - difficult to interpret<br>
• Prone to overfitting without regularization
</div>
`,
concepts: `
<h3>Core Components</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Neurons (Nodes):</strong> Basic computational units that receive inputs, apply weights, add bias, and apply activation function</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Layers:</strong> Input layer (receives data), Hidden layers (feature extraction), Output layer (predictions)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Weights:</strong> Parameters learned during training that determine connection strength</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Bias:</strong> Allows shifting the activation function for better fitting</div>
</div>
<div class="list-item">
<div class="list-num">05</div>
<div><strong>Activation Function:</strong> Introduces non-linearity (ReLU, Sigmoid, Tanh)</div>
</div>
`,
applications: `
<h3>Real-World Applications</h3>
<div class="info-box">
<div class="box-title">🏥 Healthcare</div>
<div class="box-content">Disease diagnosis, medical image analysis, drug discovery, patient risk prediction</div>
</div>
<div class="info-box">
<div class="box-title">💰 Finance</div>
<div class="box-content">Fraud detection, algorithmic trading, credit scoring, portfolio optimization</div>
</div>
<div class="info-box">
<div class="box-title">🛒 E-commerce</div>
<div class="box-content">Recommendation systems, demand forecasting, customer segmentation, price optimization</div>
</div>
`
},
"activation": {
overview: `
<h3>What are Activation Functions?</h3>
<p>Activation functions introduce non-linearity into neural networks, enabling them to learn complex patterns. Without activation functions, a neural network would be just a linear regression model regardless of depth.</p>
<h3>Why Do We Need Them?</h3>
<ul>
<li><strong>Non-linearity:</strong> Real-world problems are rarely linear</li>
<li><strong>Complex Pattern Learning:</strong> Enable learning of intricate decision boundaries</li>
<li><strong>Gradient Flow:</strong> Control how gradients propagate during backpropagation</li>
<li><strong>Range Normalization:</strong> Keep activations in manageable ranges</li>
</ul>
<h3>Common Activation Functions Comparison</h3>
<table>
<tr>
<th>Function</th>
<th>Range</th>
<th>Best Use</th>
<th>Issue</th>
</tr>
<tr>
<td>ReLU</td>
<td>[0, ∞)</td>
<td>Hidden layers (default)</td>
<td>Dying ReLU problem</td>
</tr>
<tr>
<td>Sigmoid</td>
<td>(0, 1)</td>
<td>Binary classification output</td>
<td>Vanishing gradients</td>
</tr>
<tr>
<td>Tanh</td>
<td>(-1, 1)</td>
<td>RNNs, zero-centered</td>
<td>Vanishing gradients</td>
</tr>
<tr>
<td>Leaky ReLU</td>
<td>(-∞, ∞)</td>
<td>Fixes dying ReLU</td>
<td>Extra hyperparameter</td>
</tr>
<tr>
<td>Softmax</td>
<td>(0, 1) sum=1</td>
<td>Multi-class output</td>
<td>Computationally expensive</td>
</tr>
</table>
`,
concepts: `
<h3>Key Properties</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Differentiability:</strong> Must have derivatives for backpropagation to work</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Monotonicity:</strong> Preferably monotonic for easier optimization</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Zero-Centered:</strong> Helps with faster convergence (Tanh)</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Computational Efficiency:</strong> Should be fast to compute (ReLU wins)</div>
</div>
<div class="callout tip">
<div class="callout-title">💡 Best Practices</div>
• Use <strong>ReLU</strong> for hidden layers by default<br>
• Use <strong>Sigmoid</strong> for binary classification output<br>
• Use <strong>Softmax</strong> for multi-class classification<br>
• Try <strong>Leaky ReLU</strong> or <strong>ELU</strong> if ReLU neurons are dying<br>
• Avoid Sigmoid/Tanh in deep networks (gradient vanishing)
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🧠 Neural Network Design</div>
<div class="box-content">
Critical choice for every neural network - affects training speed, convergence, and final accuracy
</div>
</div>
<div class="info-box">
<div class="box-title">🎯 Task-Specific Selection</div>
<div class="box-content">
Different tasks need different outputs: Sigmoid for binary, Softmax for multi-class, Linear for regression
</div>
</div>
`,
math: `
<h3>Derivatives: The Backprop Fuel</h3>
<p>Activation functions must be differentiable for backpropagation to work. Let's look at the derivatives on paper:</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Sigmoid:</strong> σ(z) = 1 / (1 + e⁻ᶻ)<br>
<strong>Derivative:</strong> σ'(z) = σ(z)(1 - σ(z))<br>
<span class="formula-caption">Max gradient is 0.25 (at z=0). This is why deep networks vanish!</span></div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Tanh:</strong> tanh(z) = (eᶻ - e⁻ᶻ) / (eᶻ + e⁻ᶻ)<br>
<strong>Derivative:</strong> tanh'(z) = 1 - tanh²(z)<br>
<span class="formula-caption">Max gradient is 1.0 (at z=0). Better than Sigmoid, but still vanishes.</span></div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>ReLU:</strong> max(0, z)<br>
<strong>Derivative:</strong> 1 if z > 0, else 0<br>
<span class="formula-caption">Gradient is 1.0 for all positive z. No vanishing! But 0 for negative (Dying ReLU).</span></div>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: The Chain Effect</div>
Each layer multiplies the gradient by σ'(z). <br>
For 10 Sigmoid layers: Total gradient ≈ (0.25)¹⁰ ≈ <strong>0.00000095</strong><br>
This is the mathematical proof of the Vanishing Gradient Problem!
</div>
`
},
"conv-layer": {
overview: `
<h3>What are Convolutional Layers?</h3>
<p>Convolutional layers are the fundamental building blocks of CNNs. They apply learnable filters (kernels) across input data to detect local patterns like edges, textures, and shapes.</p>
<h3>Why Use Convolutions Instead of Fully Connected Layers?</h3>
<ul>
<li><strong>Parameter Efficiency:</strong> Share weights across spatial locations (fewer parameters)</li>
<li><strong>Translation Invariance:</strong> Detect features regardless of position</li>
<li><strong>Local Connectivity:</strong> Each neuron sees
only a small region (receptive field)</li>
<li><strong>Hierarchical Learning:</strong> Build complex features from simple ones</li>
</ul>
<div class="callout insight">
<div class="callout-title">🔍 Example: Parameter Comparison</div>
For a 224×224 RGB image:<br>
• <strong>Fully Connected:</strong> 224 × 224 × 3 × 1000 = 150M parameters (for 1000 neurons)<br>
• <strong>Convolutional (3×3):</strong> 3 × 3 × 3 × 64 = 1,728 parameters (for 64 filters)<br>
<strong>Result:</strong> 87,000x fewer parameters! 🚀
</div>
<div class="callout tip">
<div class="callout-title">✅ Advantages</div>
• Drastically reduced parameters<br>
• Spatial hierarchy (edges → textures → parts → objects)<br>
• GPU-friendly (highly parallelizable)<br>
• Built-in translation equivariance
</div>
<div class="callout warning">
<div class="callout-title">⚠️ Disadvantages</div>
• Not rotation invariant (require data augmentation)<br>
• Fixed receptive field size<br>
• Memory intensive during training<br>
• Require careful hyperparameter tuning (kernel size, stride, padding)
</div>
`,
concepts: `
<h3>Key Hyperparameters</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Kernel/Filter Size:</strong> Typically 3×3 or 5×5. Smaller = more layers needed, larger = more parameters</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Stride:</strong> Step size when sliding filter. Stride=1 (preserves size), Stride=2 (downsamples by 2×)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Padding:</strong> Add zeros around borders. 'SAME' keeps size, 'VALID' shrinks output</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Number of Filters:</strong> Each filter learns different features. More filters = more capacity but slower</div>
</div>
<div class="list-item">
<div class="list-num">05</div>
<div><strong>Dilation:</strong> Spacing between kernel elements. Increases receptive field without adding parameters</div>
</div>
<div class="formula">
Output Size Formula:<br>
W_out = floor((W_in + 2×padding - kernel_size) / stride) + 1<br>
H_out = floor((H_in + 2×padding - kernel_size) / stride) + 1
</div>
`,
math: `
<h3>The Mathematical Operation: Cross-Correlation</h3>
<p>In deep learning, what we call "convolution" is mathematically "cross-correlation". It is a local dot product of the kernel and image patch.</p>
<div class="formula">
S(i, j) = (I * K)(i, j) = Σ_m Σ_n I(i+m, j+n) K(m, n)
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Manual Convolution</div>
**Input (3x3):**<br>
[1 2 0]<br>
[0 1 1]<br>
[1 0 2]<br>
<br>
**Kernel (2x2):**<br>
[1 0]<br>
[0 1]<br>
<br>
**Calculation:**<br>
Step 1 (Top-Left): (1x1) + (2x0) + (0x0) + (1x1) = <strong>2</strong><br>
Step 2 (Top-Right): (2x1) + (0x0) + (1x0) + (1x1) = <strong>3</strong><br>
... Output is a 2x2 matrix.
</div>
<h3>Backprop through Conv</h3>
<p>Calculated using the same formula but with the kernel flipped vertically and horizontally (true convolution)!</p>
`,
applications: `
<div class="info-box">
<div class="box-title">🔍 Feature Extraction</div>
<div class="box-content">
Early layers learn edges (Gabor-like filters), middle layers learn textures, deep layers learn specific object parts (eyes, wheels).
</div>
</div>
<div class="info-box">
<div class="box-title">🎨 Image Processing</div>
<div class="box-content">
Blurring, sharpening, and edge detection in Photoshop/GIMP are all done with 2D convolutions using fixed kernels.
</div>
</div>
`
},
"yolo": {
overview: `
<h3>What is YOLO?</h3>
<p>YOLO (You Only Look Once) treats object detection as a single regression problem, going directly from image pixels to bounding box coordinates and class probabilities in one forward pass.</p>
<h3>Why YOLO Over R-CNN?</h3>
<ul>
<li><strong>Speed:</strong> 45+ FPS (real-time) vs R-CNN's ~0.05 FPS</li>
<li><strong>Global Context:</strong> Sees entire image during training (fewer background errors)</li>
<li><strong>One Network:</strong> Unlike R-CNN's multi-stage pipeline</li>
<li><strong>End-to-End Training:</strong> Optimize detection directly</li>
</ul>
<div class="callout tip">
<div class="callout-title">✅ Advantages</div>
• <strong>Lightning Fast:</strong> Real-time inference (YOLOv8 at 100+ FPS)<br>
• <strong>Simple Architecture:</strong> Single network, easy to train<br>
• <strong>Generalizes Well:</strong> Works on natural images and artwork<br>
• <strong>Small Model Size:</strong> Can run on edge devices (mobile, IoT)
</div>
<div class="callout warning">
<div class="callout-title">⚠️ Disadvantages</div>
• <strong>Struggles with Small Objects:</strong> Grid limitation affects tiny items<br>
• <strong>Localization Errors:</strong> Less precise than two-stage detectors<br>
• <strong>Limited Objects per Cell:</strong> Can't detect many close objects<br>
• <strong>Aspect Ratio Issues:</strong> Struggles with unusual object shapes
</div>
<h3>YOLO Evolution</h3>
<table>
<tr>
<th>Version</th>
<th>Year</th>
<th>Key Innovation</th>
<th>mAP</th>
</tr>
<tr>
<td>YOLOv1</td>
<td>2015</td>
<td>Original single-shot detector</td>
<td>63.4%</td>
</tr>
<tr>
<td>YOLOv3</td>
<td>2018</td>
<td>Multi-scale predictions</td>
<td>57.9% (faster)</td>
</tr>
<tr>
<td>YOLOv5</td>
<td>2020</td>
<td>PyTorch, Auto-augment</td>
<td>~50% (optimized)</td>
</tr>
<tr>
<td>YOLOv8</td>
<td>2023</td>
<td>Anchor-free, SOTA speed</td>
<td>53.9% (real-time)</td>
</tr>
</table>
`,
concepts: `
<h3>How YOLO Works (3 Steps)</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Grid Division:</strong> Divide image into S×S grid (e.g., 7×7). Each cell predicts B bounding boxes</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Predictions Per Cell:</strong> Each box predicts (x, y, w, h, confidence) + class probabilities</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Non-Max Suppression:</strong> Remove duplicate detections, keep highest confidence boxes</div>
</div>
<div class="formula">
Output Tensor Shape (YOLOv1):<br>
S × S × (B × 5 + C)<br>
Example: 7 × 7 × (2 × 5 + 20) = 7 × 7 × 30<br>
<br>
Where:<br>
• S = grid size (7)<br>
• B = boxes per cell (2)<br>
• 5 = (x, y, w, h, confidence)<br>
• C = number of classes (20 for PASCAL VOC)
</div>
`,
applications: `
<h3>Industry Applications</h3>
<div class="info-box">
<div class="box-title">🚗 Autonomous Vehicles</div>
<div class="box-content">
Real-time detection of pedestrians, vehicles, traffic signs, and lane markings for self-driving cars
</div>
</div>
<div class="info-box">
<div class="box-title">🏭 Manufacturing</div>
<div class="box-content">
Quality control, defect detection on assembly lines, robot guidance, inventory management
</div>
</div>
<div class="info-box">
<div class="box-title">🛡️ Security & Surveillance</div>
<div class="box-content">
Intrusion detection, crowd monitoring, suspicious behavior analysis, license plate recognition
</div>
</div>
<div class="info-box">
<div class="box-title">🏥 Medical Imaging</div>
<div class="box-content">
Tumor localization, cell counting, anatomical structure detection in X-rays/CT scans
</div>
</div>
`,
math: `
<h3>Intersection over Union (IoU)</h3>
<p>How do we measure if a predicted box is correct? We use the geometric ratio of intersection and union.</p>
<div class="formula">
IoU = Area of Overlap / Area of Union
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Manual IoU</div>
**Box A (GT):** [0,0,10,10] (Area=100)<br>
**Box B (Pred):** [5,5,15,15] (Area=100)<br>
1. **Intersection:** Area between [5,5] and [10,10] = 5x5 = 25<br>
2. **Union:** Area A + Area B - Intersection = 100 + 100 - 25 = 175<br>
3. **IoU:** 25 / 175 ≈ <strong>0.142</strong> (Poor match!)
</div>
<h3>YOLO Multi-Part Loss</h3>
<p>YOLO uses a composite loss function combining localization, confidence, and classification errors.</p>
<div class="formula">
L = λ_coord Σ(Localization Loss) + Σ(Confidence Loss) + Σ(Classification Loss)
</div>
`
},
"transformers": {
overview: `
<h3>What are Transformers?</h3>
<p>Transformers are neural architectures based entirely on attention mechanisms, eliminating recurrence and convolutions. Introduced in "Attention is All You Need" (2017), they revolutionized NLP and are now conquering computer vision.</p>
<h3>Why Transformers Over RNNs/LSTMs?</h3>
<ul>
<li><strong>Parallelization:</strong> Process entire sequence at once (vs sequential RNNs)</li>
<li><strong>Long-Range Dependencies:</strong> Direct connections between any two positions</li>
<li><strong>No Gradient Vanishing:</strong> Skip connections and attention bypass depth issues</li>
<li><strong>Scalability:</strong> Performance improves with more data and compute</li>
</ul>
<div class="callout tip">
<div class="callout-title">✅ Advantages</div>
• <strong>Superior Performance:</strong> SOTA on nearly all NLP benchmarks<br>
• <strong>Highly Parallelizable:</strong> Train 100× faster than RNNs on TPUs/GPUs<br>
• <strong>Transfer Learning:</strong> Pre-train once, fine-tune for many tasks<br>
• <strong>Interpretability:</strong> Attention weights show what model focuses on<br>
• <strong>Multi-Modal:</strong> Works for text, images, audio, video
</div>
<div class="callout warning">
<div class="callout-title">⚠️ Disadvantages</div>
• <strong>Quadratic Complexity:</strong> O(n²) in sequence length (memory intensive)<br>
• <strong>Massive Data Requirements:</strong> Need millions of examples to train from scratch<br>
• <strong>Computational Cost:</strong> Training GPT-3 cost ~$4.6M<br>
• <strong>Position Encoding:</strong> Require explicit positional information<br>
• <strong>Limited Context:</strong> Most models cap at 512-4096 tokens
</div>
<h3>Transformer Variants</h3>
<table>
<tr>
<th>Model</th>
<th>Type</th>
<th>Architecture</th>
<th>Best For</th>
</tr>
<tr>
<td>BERT</td>
<td>Encoder-only</td>
<td>Bidirectional</td>
<td>Understanding (classification, QA)</td>
</tr>
<tr>
<td>GPT</td>
<td>Decoder-only</td>
<td>Autoregressive</td>
<td>Generation (text, code)</td>
</tr>
<tr>
<td>T5</td>
<td>Encoder-Decoder</td>
<td>Full Transformer</td>
<td>Text-to-text tasks (translation)</td>
</tr>
<tr>
<td>ViT</td>
<td>Encoder-only</td>
<td>Patch embeddings</td>
<td>Image classification</td>
</tr>
</table>
`,
concepts: `
<h3>Core Components</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Self-Attention:</strong> Each token attends to all other tokens, learning contextual relationships</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Multi-Head Attention:</strong> Multiple attention mechanisms in parallel (8-16 heads), each learning different patterns</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Positional Encoding:</strong> Add position information since attention is permutation-invariant</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Feed-Forward Networks:</strong> Two-layer MLPs applied to each position independently</div>
</div>
<div class="list-item">
<div class="list-num">05</div>
<div><strong>Layer Normalization:</strong> Stabilize training, applied before attention and FFN</div>
</div>
<div class="list-item">
<div class="list-num">06</div>
<div><strong>Residual Connections:</strong> Skip connections around each sub-layer for gradient flow</div>
</div>
<div class="formula">
Self-Attention Formula:<br>
Attention(Q, K, V) = softmax(QK<sup>T</sup> / √d<sub>k</sub>) V<br>
<br>
Where:<br>
• Q = Queries (what we're looking for)<br>
• K = Keys (what each token represents)<br>
• V = Values (actual information to aggregate)<br>
• d<sub>k</sub> = dimension of keys (for scaling)<br>
<br>
Multi-Head Attention:<br>
MultiHead(Q,K,V) = Concat(head₁,...,head<sub>h</sub>)W<sup>O</sup><br>
where head<sub>i</sub> = Attention(QW<sub>i</sub><sup>Q</sup>, KW<sub>i</sub><sup>K</sup>, VW<sub>i</sub><sup>V</sup>)
</div>
`,
applications: `
<h3>Revolutionary Applications</h3>
<div class="info-box">
<div class="box-title">💬 Large Language Models</div>
<div class="box-content">
<strong>ChatGPT, GPT-4, Claude:</strong> Conversational AI, code generation, creative writing, reasoning<br>
<strong>BERT, RoBERTa:</strong> Search engines (Google), question answering, sentiment analysis
</div>
</div>
<div class="info-box">
<div class="box-title">🌐 Machine Translation</div>
<div class="box-content">
<strong>Google Translate, DeepL:</strong> Transformers achieved human-level translation quality<br>
Supports 100+ languages, real-time translation
</div>
</div>
<div class="info-box">
<div class="box-title">🎨 Multi-Modal AI</div>
<div class="box-content">
<strong>DALL-E, Midjourney:</strong> Text-to-image generation<br>
<strong>CLIP:</strong> Image-text understanding<br>
<strong>Whisper:</strong> Speech recognition
</div>
</div>
<div class="info-box">
<div class="box-title">🧬 Scientific Discovery</div>
<div class="box-content">
<strong>AlphaFold:</strong> Protein structure prediction (Nobel Prize-worthy breakthrough)<br>
<strong>Drug Discovery:</strong> Molecule generation and property prediction
</div>
</div>
<div class="info-box">
<div class="box-title">💻 Code Intelligence</div>
<div class="box-content">
<strong>GitHub Copilot:</strong> AI pair programmer<br>
<strong>CodeGen, AlphaCode:</strong> Automated coding, bug detection
</div>
</div>
`,
math: `
<h3>Scaled Dot-Product Attention</h3>
<p>The "heart" of the Transformer. It computes how much "attention" to pay to different parts of the input sequence.</p>
<div class="formula" style="font-size: 1.3rem; text-align: center; margin: 20px 0; background: rgba(0, 212, 255, 0.05); padding: 20px; border-radius: 8px;">
Attention(Q, K, V) = softmax( (QKᵀ) / √dₖ ) V
</div>
<h3>Step-by-Step Derivation</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Dot Product (QKᵀ):</strong> Compute raw similarity scores between Queries (what we want) and Keys (what we have)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Scaling (1/√dₖ):</strong> Divide by square root of key dimension. <strong>Why?</strong> With high dimensions, dot products grow large, pushing softmax into regions with vanishing gradients. Scaling prevents this.</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Softmax:</strong> Convert similarity scores into probabilities (attention weights) that sum to 1</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Weighted Sum (×V):</strong> Use attention weights to pull information from Values.</div>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Multi-Head Attention</div>
Instead of one big attention, we split Q, K, V into <em>h</em> heads:<br>
1. Heads learn <strong>different aspects</strong> (e.g., syntax vs semantics)<br>
2. Concat all heads: MultiHead = Concat(head₁, ..., headₕ)Wᴼ<br>
3. Complexity: <strong>O(n² · d)</strong> - This is why long sequences are hard!
</div>
<div class="callout warning">
<div class="callout-title">📐 Sinusoidal Positional Encoding</div>
PE(pos, 2i) = sin(pos / 10000^{2i/d})<br>
PE(pos, 2i+1) = cos(pos / 10000^{2i/d})<br>
This allows the model to learn relative positions since PE(pos+k) is a linear function of PE(pos).
</div>
`
},
"perceptron": {
overview: `
<h3>What is a Perceptron?</h3>
<p>The perceptron is the simplest neural network, invented in 1958. It's a binary linear classifier that makes predictions based on weighted inputs.</p>
<div class="callout tip">
<div class="callout-title">✅ Advantages</div>
• Simple and fast<br>
• Guaranteed convergence for linearly separable data<br>
• Interpretable weights
</div>
<div class="callout warning">
<div class="callout-title">⚠️ Key Limitation</div>
<strong>Cannot solve XOR:</strong> Limited to linear decision boundaries only
</div>
`,
concepts: `
<h3>How Perceptron Works</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Weighted Sum:</strong> z = w₁x₁ + w₂x₂ + ... + b</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Step Function:</strong> Output = 1 if z ≥ 0, else 0</div>
</div>
<div class="formula">
Learning Rule: w_new = w_old + α(y_true - y_pred)x
</div>
`,
math: `
<h3>Perceptron Learning Algorithm</h3>
<p>The perceptron update rule is the simplest form of gradient descent.</p>
<div class="formula">
For each misclassified sample (x, y):<br>
w ← w + α × y × x<br>
b ← b + α × y
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Manual Training</div>
<strong>Data:</strong> x₁ = [1, 1], y₁ = 1 | x₂ = [0, 0], y₂ = 0<br>
<strong>Initial:</strong> w = [0, 0], b = 0, α = 1<br>
<br>
<strong>Iteration 1 (x₁):</strong><br>
z = 0×1 + 0×1 + 0 = 0 → ŷ = 1 ✓ (correct!)<br>
<br>
<strong>Iteration 2 (x₂):</strong><br>
z = 0×0 + 0×0 + 0 = 0 → ŷ = 1 ✗ (wrong! y=0)<br>
Update: w = [0,0] + 1×(0-1)×[0,0] = [0,0], b = 0 + 1×(0-1) = -1<br>
<br>
Now z(x₂) = 0 + 0 - 1 = -1 → ŷ = 0 ✓
</div>
<h3>Convergence Theorem</h3>
<div class="formula">
If data is linearly separable with margin γ and ||x|| ≤ R,<br>
perceptron converges in at most (R/γ)² updates.
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📚 Educational</div>
<div class="box-content">
Historical importance - first trainable neural model. Perfect for teaching ML fundamentals
</div>
</div>
<div class="info-box">
<div class="box-title">🔬 Simple Classification</div>
<div class="box-content">
Linearly separable problems: basic pattern recognition, simple binary decisions
</div>
</div>
`
},
"mlp": {
overview: `
<h3>Multi-Layer Perceptron (MLP)</h3>
<p>MLP adds hidden layers between input and output, enabling non-linear decision boundaries and solving the XOR problem that single perceptrons cannot.</p>
<h3>Why MLPs?</h3>
<ul>
<li><strong>Universal Approximation:</strong> Can approximate any continuous function</li>
<li><strong>Non-Linear Learning:</strong> Solves complex problems</li>
<li><strong>Feature Extraction:</strong> Hidden layers learn hierarchical features</li>
</ul>
<div class="callout insight">
<div class="callout-title">💡 The XOR Breakthrough</div>
Single perceptron: Cannot solve XOR<br>
MLP with 1 hidden layer (2 neurons): Solves XOR!<br>
This proves the power of depth.
</div>
`,
concepts: `
<h3>Architecture Components</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Input Layer:</strong> Raw features (no computation)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Hidden Layers:</strong> Extract progressively abstract features</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Output Layer:</strong> Final predictions</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📊 Tabular Data</div>
<div class="box-content">Credit scoring, fraud detection, customer churn, sales forecasting</div>
</div>
<div class="info-box">
<div class="box-title">🏭 Manufacturing</div>
<div class="box-content">Quality control, predictive maintenance, demand forecasting</div>
</div>
`,
math: `
<h3>Neural Network Forward Pass (Matrix Form)</h3>
<p>Vectorization is key to modern deep learning. We process entire layers as matrix multiplications.</p>
<div class="formula">
Layer 1: z⁽¹⁾ = W⁽¹⁾x + b⁽¹⁾ | a⁽¹⁾ = σ(z⁽¹⁾)<br>
Layer 2: z⁽²⁾ = W⁽²⁾a⁽¹⁾ + b⁽²⁾ | a⁽²⁾ = σ(z⁽²⁾)<br>
...<br>
Layer L: ŷ = Softmax(W⁽ᴸ⁾a⁽ᴸ⁻¹⁾ + b⁽ᴸ⁾)
</div>
<h3>Paper & Pain: Dimensionality Audit</h3>
<p>Understanding tensor shapes is the #1 skill for debugging neural networks.</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Input x:</strong> [n_features, 1]</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Weights W⁽¹⁾:</strong> [n_hidden, n_features]</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Bias b⁽¹⁾:</strong> [n_hidden, 1]</div>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Solving XOR</div>
Input: [0,1], Target: 1<br>
Layer 1 (2 neurons):<br>
z₁ = 10x₁ + 10x₂ - 5 | a₁ = σ(z₁)<br>
z₂ = 10x₁ + 10x₂ - 15 | a₂ = σ(z₂)<br>
Layer 2 (1 neuron):<br>
y = σ(20a₁ - 20a₂ - 10)<br>
<strong>Try it on paper!</strong> This specific configuration correctly outputs XOR values.
</div>
`
},
"weight-init": {
overview: `
<h3>Weight Initialization Strategies</h3>
<table>
<tr>
<th>Method</th>
<th>Best For</th>
<th>Formula</th>
</tr>
<tr>
<td>Xavier/Glorot</td>
<td>Sigmoid, Tanh</td>
<td>N(0, √(2/(n_in+n_out)))</td>
</tr>
<tr>
<td>He/Kaiming</td>
<td>ReLU</td>
<td>N(0, √(2/n_in))</td>
</tr>
</table>
<div class="callout warning">
<div class="callout-title">⚠️ Never Initialize to Zero!</div>
All neurons learn identical features (symmetry problem)
</div>
`,
concepts: `
<h3>Key Principles</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Variance Preservation:</strong> Keep activation variance similar across layers</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Symmetry Breaking:</strong> Different weights force different features</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🎯 Critical for Deep Networks</div>
<div class="box-content">
Proper initialization is essential for training networks >10 layers. Wrong init = training failure
</div>
</div>
<div class="info-box">
<div class="box-title">⚡ Faster Convergence</div>
<div class="box-content">
Good initialization reduces training time by 2-10×, especially with modern optimizers
</div>
</div>
`,
math: `
<h3>The Variance Preservation Principle</h3>
<p>To prevent gradients from vanishing or exploding, we want the variance of the activations to remain constant across layers.</p>
<div class="formula">
For a linear layer: y = Σ wᵢxᵢ<br>
Var(y) = Var(Σ wᵢxᵢ) = Σ Var(wᵢxᵢ)<br>
Assuming w and x are independent with mean 0:<br>
Var(wᵢxᵢ) = E[wᵢ²]E[xᵢ²] - E[wᵢ]²E[xᵢ]² = Var(wᵢ)Var(xᵢ)<br>
So, Var(y) = n_in × Var(w) × Var(x)
</div>
<h3>1. Xavier (Glorot) Initialization</h3>
<p>Goal: Var(y) = Var(x) and Var(grad_out) = Var(grad_in)</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Forward Pass:</strong> n_in × Var(w) = 1 ⇒ Var(w) = 1/n_in</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Backward Pass:</strong> n_out × Var(w) = 1 ⇒ Var(w) = 1/n_out</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Compromise:</strong> Var(w) = 2 / (n_in + n_out)</div>
</div>
<h3>2. He (Kaiming) Initialization</h3>
<p>For ReLU activation, half the neurons are inactive (output 0), which halves the variance. We must compensate.</p>
<div class="formula">
Var(ReLU(y)) = 1/2 × Var(y)<br>
To keep Var(ReLU(y)) = Var(x):<br>
1/2 × n_in × Var(w) = 1<br>
<strong>Var(w) = 2 / n_in</strong>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain Calculation</div>
If n_in = 256 and you use ReLU:<br>
Weight Std Dev = √(2/256) = √(1/128) ≈ <strong>0.088</strong><br>
Initializing with std=1.0 or std=0.01 would cause immediate failure in a deep net!
</div>
`
},
"loss": {
overview: `
<h3>Loss Functions Guide</h3>
<table>
<tr>
<th>Task</th>
<th>Loss Function</th>
</tr>
<tr>
<td>Binary Classification</td>
<td>Binary Cross-Entropy</td>
</tr>
<tr>
<td>Multi-class</td>
<td>Categorical Cross-Entropy</td>
</tr>
<tr>
<td>Regression</td>
<td>MSE or MAE</td>
</tr>
</table>
`,
concepts: `
<h3>Common Loss Functions</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>MSE:</strong> (1/n)Σ(y - ŷ)² - Penalizes large errors</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Cross-Entropy:</strong> -Σ(y·log(ŷ)) - For classification</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🎯 Task-Dependent Selection</div>
<div class="box-content">
Every ML task needs appropriate loss: classification (cross-entropy), regression (MSE/MAE), ranking (triplet loss)
</div>
</div>
<div class="info-box">
<div class="box-title">📊 Custom Losses</div>
<div class="box-content">
Business-specific objectives: Focal Loss (imbalanced data), Dice Loss (segmentation), Contrastive Loss (similarity learning)
</div>
</div>
`,
math: `
<h3>Binary Cross-Entropy (BCE) Derivation</h3>
<p>Why do we use logs? BCE is derived from Maximum Likelihood Estimation (MLE) assuming a Bernoulli distribution.</p>
<div class="formula">
L(ŷ, y) = -(y log(ŷ) + (1-y) log(1-ŷ))
</div>
<h3>Paper & Pain: Why not MSE for Classification?</h3>
<p>If we use MSE for sigmoid output, the gradient is:</p>
<div class="formula">
∂L/∂w = (ŷ - y) <strong>σ'(z)</strong> x
</div>
<div class="callout warning">
<div class="callout-title">⚠️ The Saturation Problem</div>
If the model is very wrong (e.g., target 1, output 0.001), σ'(z) is near 0. <br>
The gradient vanishes, and the model <strong>stops learning!</strong>.
</div>
<h3>The BCE Advantage</h3>
<p>When using BCE, the σ'(z) term cancels out! The gradient becomes:</p>
<div class="formula" style="font-size: 1.2rem; color: #00d4ff;">
∂L/∂w = (ŷ - y) x
</div>
<div class="list-item">
<div class="list-num">💡</div>
<div>This is beautiful: the gradient depends <strong>only on the error</strong> (ŷ-y), not on how saturated the neuron is. This enables much faster training.</div>
</div>
`
},
"optimizers": {
overview: `
<h3>Optimizer Selection Guide</h3>
<table>
<tr>
<th>Optimizer</th>
<th>When to Use</th>
</tr>
<tr>
<td>Adam/AdamW</td>
<td><strong>Default choice</strong> - works 90% of time</td>
</tr>
<tr>
<td>SGD + Momentum</td>
<td>CNNs (better final accuracy with patience)</td>
</tr>
<tr>
<td>RMSprop</td>
<td>RNNs</td>
</tr>
</table>
<div class="formula">
Adam: m_t = β₁·m + (1-β₁)·∇L<br>
v_t = β₂·v + (1-β₂)·(∇L)²<br>
w = w - α·m_t/√(v_t)
</div>
`,
concepts: `
<h3>Optimizer Evolution</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>SGD:</strong> Simple but requires careful learning rate tuning</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Adam:</strong> Adaptive rates + momentum = works out-of-box</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🚀 Training Acceleration</div>
<div class="box-content">
Modern optimizers (Adam) reduce training time by 5-10× compared to basic SGD
</div>
</div>
<div class="info-box">
<div class="box-title">🎯 Architecture-Specific</div>
<div class="box-content">
CNNs: SGD+Momentum | Transformers: AdamW | RNNs: RMSprop | Default: Adam
</div>
</div>
`
},
"backprop": {
overview: `
<h3>Backpropagation Algorithm</h3>
<p>Backprop efficiently computes gradients by applying the chain rule from output to input, enabling training of deep networks.</p>
<h3>Why Backpropagation?</h3>
<ul>
<li><strong>Efficient:</strong> Computes all gradients in single backward pass</li>
<li><strong>Scalable:</strong> Works for networks of any depth</li>
<li><strong>Automatic:</strong> Modern frameworks do it automatically</li>
</ul>
`,
concepts: `
<div class="formula">
Chain Rule:<br>
∂L/∂w = ∂L/∂y × ∂y/∂z × ∂z/∂w<br>
<br>
For layer l:<br>
δˡ = (W^(l+1))^T δ^(l+1) ⊙ σ'(z^l)<br>
∂L/∂W^l = δ^l (a^(l-1))^T
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🧠 Universal Training Method</div>
<div class="box-content">
Every modern neural network uses backprop - from CNNs to Transformers to GANs
</div>
</div>
<div class="info-box">
<div class="box-title">🔧 Automatic Differentiation</div>
<div class="box-content">
PyTorch, TensorFlow implement automatic backprop - you define forward pass, framework does backward
</div>
</div>
`,
math: `
<h3>The 4 Fundamental Equations of Backprop</h3>
<p>Backpropagation is essentially the chain rule applied iteratively. We define the error signal δ = ∂L/∂z.</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Error at Output Layer (L):</strong><br>
δᴸ = ∇ₐL ⊙ σ'(zᴸ)<br>
<span class="formula-caption">Example for MSE: (aᴸ - y) ⊙ σ'(zᴸ)</span></div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Error at Layer l (Backwards):</strong><br>
δˡ = ((Wˡ⁺¹)ᵀ δˡ⁺¹) ⊙ σ'(zˡ)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Gradient w.r.t Bias:</strong><br>
∂L / ∂bˡ = δˡ</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Gradient w.r.t Weights:</strong><br>
∂L / ∂Wˡ = δˡ (aˡ⁻¹)ᵀ</div>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain Walkthrough</div>
Suppose single neuron: z = wx + b, Loss L = (σ(z) - y)²/2<br>
1. <strong>Forward:</strong> z=2, a=σ(2)≈0.88, y=1, L=0.007<br>
2. <strong>Backward:</strong><br>
∂L/∂a = (a-y) = -0.12<br>
∂a/∂z = σ(z)(1-σ(z)) = 0.88 * 0.12 = 0.1056<br>
δ = ∂L/∂z = -0.12 * 0.1056 = -0.01267<br>
<strong>∂L/∂w = δ * x</strong> | <strong>∂L/∂b = δ</strong>
</div>
`
},
"regularization": {
overview: `
<h3>Regularization Techniques</h3>
<table>
<tr>
<th>Method</th>
<th>How It Works</th>
<th>When to Use</th>
</tr>
<tr>
<td>L2 (Ridge)</td>
<td>Adds λΣw² to loss</td>
<td>Keeps all features, reduces magnitude</td>
</tr>
<tr>
<td>L1 (Lasso)</td>
<td>Adds λΣ|w| to loss</td>
<td>Feature selection (zeros out weights)</td>
</tr>
<tr>
<td>Dropout</td>
<td>Randomly drops neurons (p=0.5 typical)</td>
<td><strong>Most effective for deep networks</strong></td>
</tr>
<tr>
<td>Early Stopping</td>
<td>Stop when validation loss increases</td>
<td>Prevents overfitting during training</td>
</tr>
<tr>
<td>Data Augmentation</td>
<td>Artificially expand dataset</td>
<td>Computer vision (rotations, flips, crops)</td>
</tr>
</table>
`,
applications: `
<div class="info-box">
<div class="box-title">🎯 Best Practices</div>
<div class="box-content">
• Start with Dropout (0.5) for hidden layers<br>
• Add L2 if still overfitting (λ=0.01, 0.001)<br>
• Always use Early Stopping<br>
• Data Augmentation for images
</div>
</div>
`
},
"batch-norm": {
overview: `
<h3>Batch Normalization</h3>
<p>Normalizes layer inputs to have mean=0 and variance=1, stabilizing and accelerating training.</p>
<div class="callout tip">
<div class="callout-title">✅ Benefits</div>
• <strong>Faster Training:</strong> Allows higher learning rates<br>
• <strong>Reduces Vanishing Gradients:</strong> Better gradient flow<br>
• <strong>Regularization Effect:</strong> Adds slight noise<br>
• <strong>Less Sensitive to Init:</strong> Reduces initialization impact
</div>
`,
math: `
<h3>The 4 Steps of Batch Normalization</h3>
<p>Calculated per mini-batch B = {x₁, ..., xₘ}:</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Mini-Batch Mean:</strong> μ_B = (1/m) Σ xᵢ</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Mini-Batch Variance:</strong> σ²_B = (1/m) Σ (xᵢ - μ_B)²</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Normalize:</strong> x̂ᵢ = (xᵢ - μ_B) / √(σ²_B + ε)</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Scale and Shift:</strong> yᵢ = γ x̂ᵢ + β</div>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Why γ and β?</div>
If we only normalized to (0,1), we might restrict the representation power of the network. <br>
γ and β allow the network to <strong>undo</strong> the normalization if that's optimal: <br>
If γ = √(σ²) and β = μ, we get the original data back!
</div>
`
},
"cv-intro": {
overview: `
<h3>Why Computer Vision Needs Special Architectures</h3>
<p><strong>Problem:</strong> Images have huge dimensionality</p>
<ul>
<li>224×224 RGB image = 150,528 input features</li>
<li>Fully connected layer with 1000 neurons = 150M parameters!</li>
<li>Result: Overfitting, slow training, memory issues</li>
</ul>
<h3>Solution: Convolutional Neural Networks</h3>
<ul>
<li><strong>Weight Sharing:</strong> Same filter applied everywhere (1000x fewer parameters)</li>
<li><strong>Local Connectivity:</strong> Neurons see small patches</li>
<li><strong>Translation Invariance:</strong> Detect cat anywhere in image</li>
</ul>
`,
concepts: `
<h3>Why CNNs Beat Fully Connected</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Parameter Efficiency:</strong> 1000× fewer parameters through weight sharing</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Translation Equivariance:</strong> Same object → same activation regardless of position</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📸 Real-World CV</div>
<div class="box-content">
Face ID, medical imaging (MRI/CT), autonomous drone navigation, manufacturing defect detection, and satellite imagery analysis
</div>
</div>
`,
math: `
<h3>The Parameter Explosion Problem</h3>
<p>Why do standard Neural Networks fail on images? Let's calculate the parameters for a small image.</p>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: MLP vs Images</div>
1. **Input:** 224 × 224 pixels with 3 color channels (RGB)<br>
2. **Input Size:** 224 × 224 × 3 = <strong>150,528 features</strong><br>
3. **Hidden Layer:** Suppose we want just 1000 neurons.<br>
4. **Matrix size:** [1000, 150528]<br>
5. **Total Weights:** 1000 × 150528 ≈ <strong>150 Million parameters</strong> for just ONE layer!
</div>
<h3>The CNN Solution: Weight Sharing</h3>
<p>Instead of every neuron looking at every pixel, we use <strong>translation invariance</strong>. If an edge detector works in the top-left, it should work in the bottom-right.</p>
<div class="formula">
Total Params = (Kernel_H × Kernel_W × Input_Channels) × Num_Filters<br>
<br>
For a 3x3 filter: (3 × 3 × 3) × 64 = <strong>1,728 parameters</strong><br>
Reduction: 150M / 1.7k ≈ <strong>86,000× more efficient!</strong>
</div>
`
},
"pooling": {
overview: `
<h3>Pooling Layers</h3>
<p>Pooling reduces spatial dimensions while retaining important information.</p>
<table>
<tr>
<th>Type</th>
<th>Operation</th>
<th>Use Case</th>
</tr>
<tr>
<td>Max Pooling</td>
<td>Take maximum value</td>
<td><strong>Most common</strong> - preserves strong activations</td>
</tr>
<tr>
<td>Average Pooling</td>
<td>Take average</td>
<td>Smoother, less common (used in final layers)</td>
</tr>
<tr>
<td>Global Pooling</td>
<td>Pool entire feature map</td>
<td>Replace FC layers (reduces parameters)</td>
</tr>
</table>
<div class="callout tip">
<div class="callout-title">✅ Benefits</div>
• Reduces spatial size (faster computation)<br>
• Adds translation invariance<br>
• Prevents overfitting<br>
• Typical: 2×2 window, stride 2 (halves dimensions)
</div>
`,
concepts: `
<h3>Pooling Mechanics</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Downsampling:</strong> Reduces H×W by pooling factor (typically 2×)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>No Learnable Parameters:</strong> Fixed operation (max/average)</div>
</div>
<div class="formula">
Example: 4×4 input → 2×2 max pooling → 2×2 output
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🎯 Standard CNN Component</div>
<div class="box-content">
Used after conv layers in AlexNet, VGG, and most classic CNNs to progressively reduce spatial dimensions
</div>
</div>
`,
math: `
<h3>Max Pooling: Winning Signal Selection</h3>
<p>Pooling operations are non-parametric (no weights). They simply select or average values within a local window.</p>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: 2x2 Max Pooling</div>
**Input (4x4):**<br>
[1 3 | 2 1]<br>
[5 1 | 0 2]<br>
-----------<br>
[1 1 | 8 2]<br>
[0 2 | 4 1]<br>
<br>
**Output (2x2):**<br>
Step 1: max(1, 3, 5, 1) = <strong>5</strong><br>
Step 2: max(2, 1, 0, 2) = <strong>2</strong><br>
Step 3: max(1, 1, 0, 2) = <strong>2</strong><br>
Step 4: max(8, 2, 4, 1) = <strong>8</strong><br>
**Final:** [5 2] / [2 8]
</div>
<h3>Backprop through Pooling</h3>
<div class="list-item">
<div class="list-num">💡</div>
<div><strong>Max Pooling:</strong> Gradient is routed ONLY to the neuron that had the maximum value. All others get 0.</div>
</div>
<div class="list-item">
<div class="list-num">💡</div>
<div><strong>Average Pooling:</strong> Gradient is distributed evenly among all neurons in the window.</div>
</div>
`
},
"cnn-basics": {
overview: `
<h3>CNN Architecture Pattern</h3>
<div class="formula">
Input → [Conv → ReLU → Pool] × N → Flatten → FC → Softmax
</div>
<h3>Typical Layering Strategy</h3>
<ul>
<li><strong>Early Layers:</strong> Detect low-level features (edges, textures) - small filters (3×3)</li>
<li><strong>Middle Layers:</strong> Combine into patterns, parts - more filters, same size</li>
<li><strong>Deep Layers:</strong> High-level concepts (faces, objects) - many filters</li>
<li><strong>Final FC Layers:</strong> Classification based on learned features</li>
</ul>
<div class="callout insight">
<div class="callout-title">💡 Filter Progression</div>
Layer 1: 32 filters (edges)<br>
Layer 2: 64 filters (textures)<br>
Layer 3: 128 filters (patterns)<br>
Layer 4: 256 filters (parts)<br>
Common pattern: double filters after each pooling
</div>
`,
concepts: `
<h3>Module Design Principles</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Spatial Reduction:</strong> Progressively downsample (224→112→56→28...)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Channel Expansion:</strong> Increase filters as spatial dims decrease</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🎯 All Modern Vision Models</div>
<div class="box-content">
This pattern forms the backbone of ResNet, MobileNet, EfficientNet - fundamental CNN design
</div>
</div>
`,
math: `
<h3>1. The Golden Formula for Output Size</h3>
<p>Given Input (W), Filter Size (F), Padding (P), and Stride (S):</p>
<div class="formula" style="font-size: 1.2rem; text-align: center; margin: 20px 0;">
Output Size = ⌊(W - F + 2P) / S⌋ + 1
</div>
<h3>2. Parameter Count Calculation</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Parameters PER Filter:</strong> (F × F × C_in) + 1 (bias)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Total Parameters:</strong> N_filters × ((F × F × C_in) + 1)</div>
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain Calculation</div>
<strong>Input:</strong> 224x224x3 | <strong>Layer:</strong> 64 filters of 3x3 | <strong>Stride:</strong> 1 | <strong>Padding:</strong> 1<br>
1. <strong>Output Size:</strong> (224 - 3 + 2(1))/1 + 1 = 224 (Same Padding)<br>
2. <strong>Params:</strong> 64 * (3 * 3 * 3 + 1) = 64 * 28 = <strong>1,792 parameters</strong><br>
3. <strong>FLOPs:</strong> 224 * 224 * 1792 ≈ <strong>90 Million operations</strong> per image!
</div>
`
},
"viz-filters": {
overview: `
<h3>What CNNs Learn</h3>
<p>CNN filters automatically learn hierarchical visual features:</p>
<h3>Layer-by-Layer Visualization</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Layer 1:</strong> Edges and colors (horizontal, vertical, diagonal lines)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Layer 2:</strong> Textures and patterns (corners, curves, simple shapes)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Layer 3:</strong> Object parts (eyes, wheels, windows)</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Layer 4-5:</strong> Whole objects (faces, cars, animals)</div>
</div>
`,
concepts: `
<h3>Visualization Techniques</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Activation Maximization:</strong> Find input that maximizes filter response</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Grad-CAM:</strong> Highlight important regions for predictions</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🔍 Model Interpretability</div>
<div class="box-content">
Understanding what CNNs learn helps debug failures, build trust, and improve architecture design
</div>
</div>
<div class="info-box">
<div class="box-title">🎨 Art & Style Transfer</div>
<div class="box-content">
Filter visualizations inspired neural style transfer (VGG features)
</div>
</div>
`
},
"lenet": {
overview: `
<h3>LeNet-5 (1998) - The Pioneer</h3>
<p>First successful CNN for digit recognition (MNIST). Introduced the Conv → Pool → Conv → Pool pattern still used today.</p>
<h3>Architecture</h3>
<div class="formula">
Input 32×32 → Conv(6 filters, 5×5) → AvgPool → Conv(16 filters, 5×5) → AvgPool → FC(120) → FC(84)→ FC(10)
</div>
<div class="callout insight">
<div class="callout-title">🏆 Historical Impact</div>
• Used by US Postal Service for zip code recognition<br>
• Proved CNNs work for real-world tasks<br>
• Template for modern architectures
</div>
`,
concepts: `
<h3>Key Innovations</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Layered Architecture:</strong> Hierarchical feature extraction</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Shared Weights:</strong> Convolutional parameter sharing</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">✉️ Handwriting Recognition</div>
<div class="box-content">
USPS mail sorting, check processing, form digitization
</div>
</div>
<div class="info-box">
<div class="box-title">📚 Educational Foundation</div>
<div class="box-content">
Perfect starting point for learning CNNs - simple enough to understand, complex enough to be useful
</div>
</div>
`
},
"alexnet": {
overview: `
<h3>AlexNet (2012) - The Deep Learning Revolution</h3>
<p>Won ImageNet 2012 by huge margin (15.3% vs 26.2% error), igniting the deep learning revolution.</p>
<h3>Key Innovations</h3>
<ul>
<li><strong>ReLU Activation:</strong> Faster training than sigmoid/tanh</li>
<li><strong>Dropout:</strong> Prevents overfitting (p=0.5)</li>
<li><strong>Data Augmentation:</strong> Random crops/flips</li>
<li><strong>GPU Training:</strong> Used 2 GTX580 GPUs</li>
<li><strong>Deep:</strong> 8 layers (5 conv + 3 FC), 60M parameters</li>
</ul>
<div class="callout tip">
<div class="callout-title">💡 Why So Important?</div>
First to show that deeper networks + more data + GPU compute = breakthrough performance
</div>
`,
concepts: `
<h3>Technical Contributions</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>ReLU:</strong> Solved vanishing gradients, enabled deeper networks</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Dropout:</strong> First major regularization for deep nets</div>
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🎯 ImageNet Challenge</div>
<div class="box-content">
Shattered records on 1000-class classification, proving deep learning superiority
</div>
</div>
<div class="info-box">
<div class="box-title">🚀 Industry Catalyst</div>
<div class="box-content">
Sparked AI renaissance - Google, Facebook, Microsoft pivoted to deep learning after AlexNet
</div>
</div>
`,
math: `
<h3>Paper & Pain: Parameter Counting</h3>
<p>Understanding AlexNet's 60M parameters:</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Conv Layers:</strong> Only ~2.3 Million parameters. They do most of the work with small memory!</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>FC Layers:</strong> Over **58 Million parameters**. The first FC layer (FC6) takes 4096 * (6*6*256) ≈ 37M params!</div>
</div>
<div class="callout warning">
<div class="callout-title">⚠️ The Design Flaw</div>
FC layers are the memory bottleneck. Modern models (ResNet, Inception) replace these with Global Average Pooling to save 90% parameters.
</div>
`
},
"vgg": {
overview: `
<h3>VGGNet (2014) - The Power of Depth</h3>
<p>VGG showed that depth matters - 16-19 layers using only small 3×3 filters.</p>
`,
concepts: `
<h3>Small Filters, Receptive Field</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Uniformity:</strong> Uses 3×3 filters everywhere with stride 1, padding 1.</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Pooling Pattern:</strong> 2×2 max pooling after every 2-3 conv layers.</div>
</div>
`,
math: `
<h3>The 5×5 vs 3×3+3×3 Equivalence</h3>
<p>Why stack 3x3 filters instead of one large filter?</p>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Paramount Efficiency</div>
1. **Receptive Field:** Two 3x3 layers cover 5x5 area. Three 3x3 layers cover 7x7 area.<br>
2. **Param Count (C filters):**<br>
• One 7x7 layer: 7² × C² = 49C² parameters.<br>
• Three 3x3 layers: 3 × (3² × C²) = 27C² parameters.<br>
**Result:** 45% reduction in weights for the SAME "view" of the image!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🖼️ Feature Backbone</div>
VGG is the preferred architectural backbone for Neural Style Transfer and early GANs due to its simple, clean feature extraction properties.
</div>
`
},
"resnet": {
overview: `
<h3>ResNet (2015) - Residual Connections</h3>
<p><strong>Problem:</strong> Very deep networks (>20 layers) had degradation - training accuracy got worse!</p>
<h3>Solution: Skip Connections</h3>
<div class="formula">
Instead of learning H(x), learn residual F(x) = H(x) - x<br>
Output: y = F(x) + x (shortcut connection)
</div>
<h3>Why Skip Connections Work</h3>
<ul>
<li><strong>Gradient Flow:</strong> Gradients flow directly through shortcuts</li>
<li><strong>Identity Mapping:</strong> Easy to learn identity (just set F(x)=0)</li>
<li><strong>Feature Reuse:</strong> Earlier features directly available to later layers</li>
</ul>
<div class="callout tip">
<div class="callout-title">🏆 Impact</div>
• Enabled training of 152-layer networks (even 1000+ layers)<br>
• Won ImageNet 2015<br>
• Skip connections now used everywhere (U-Net, Transformers, etc.)
</div>
`,
concepts: `
<h3>Identity & Projection Shortcuts</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Identity Shortcut:</strong> Used when dimensions match. y = F(x, {W}) + x</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Projection Shortcut (1×1 Conv):</strong> Used when dimensions change. y = F(x, {W}) + W_s x</div>
</div>
`,
math: `
<h3>The Vanishing Gradient Solution</h3>
<p>Why do skip connections help? Let's differentiate the output y = F(x) + x:</p>
<div class="formula">
∂y/∂x = ∂F/∂x + 1
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Gradient Flow</div>
The "+1" term acts as a **gradient highway**. Even if the weights in F(x) are small (causing ∂F/∂x → 0), the gradient can still flow through the +1 term. <br>
This prevents the gradient from vanishing even in networks with 1000+ layers!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🏗️ Modern Vision Backbones</div>
<div class="box-content">ResNet is the default starting point for nearly all computer vision tasks today (Mask R-CNN, YOLO, etc.).</div>
</div>
`
},
"inception": {
overview: `
<h3>Inception/GoogLeNet (2014) - Going Wider</h3>
<p>Instead of going deeper, Inception modules go wider - using multiple filter sizes in parallel.</p>
<h3>Inception Module</h3>
<div class="formula">
Input → [1×1 conv] ⊕ [3×3 conv] ⊕ [5×5 conv] ⊕ [3×3 pool] → Concatenate
</div>
`,
concepts: `
<h3>Core Innovations</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>1×1 Bottlenecks:</strong> Dimensionality reduction before expensive convolutions.</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Auxiliary Classifiers:</strong> Used during training to combat gradient vanishing in middle layers.</div>
</div>
`,
math: `
<h3>1×1 Convolution Math (Network-in-Network)</h3>
<p>A 1×1 convolution acts like a channel-wise MLP. It maps input channels C to output channels C' using 1×1×C parameters per filter.</p>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Compression</div>
Input: 28x28x256 | Target: 28x28x512 with 3x3 Filters.<br>
**Direct:** 512 * (3*3*256) ≈ 1.1 Million params.<br>
**Inception (1x1 bottleneck to 64):**<br>
Step 1 (1x1): 64 * (1*1*256) = 16k params.<br>
Step 2 (3x3): 512 * (3*3*64) = 294k params.<br>
**Total:** 310k params. **~3.5× reduction in parameters!**
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🏎️ Computational Efficiency</div>
Inception designs are optimized for running deep networks on limited compute budgets.
</div>
`
},
"mobilenet": {
overview: `
<h3>MobileNet - CNNs for Mobile Devices</h3>
<p>Designed for mobile/embedded vision using depthwise separable convolutions.</p>
<h3>Depthwise Separable Convolution</h3>
<div class="formula">
Standard Conv = Depthwise Conv + Pointwise (1×1) Conv
</div>
<h3>Computation Reduction</h3>
<table>
<tr>
<th>Method</th>
<th>Parameters</th>
<th>FLOPs</th>
</tr>
<tr>
<td>Standard 3×3 Conv</td>
<td>3×3×C_in×C_out</td>
<td>High</td>
</tr>
<tr>
<td>Depthwise Separable</td>
<td>3×3×C_in + C_in×C_out</td>
<td><strong>8-9× less!</strong></td>
</tr>
</table>
<div class="callout tip">
<div class="callout-title">✅ Applications</div>
• Real-time mobile apps (camera filters, AR)<br>
• Edge devices (drones, IoT)<br>
• Latency-critical systems<br>
• Good accuracy with 10-20× speedup
</div>
`,
concepts: `
<h3>Efficiency Factors</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Width Multiplier (α):</strong> Thins the network by reducing channels.</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Resolution Multiplier (ρ):</strong> Reduces input image size.</div>
</div>
`,
math: `
<h3>Depthwise Separable Math</h3>
<p>Standard convolution complexity: F² × C_in × C_out × H × W</p>
<p>Separable complexity: (F² × C_in + C_in × C_out) × H × W</p>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: The 9× Speedup</div>
Reduction ratio is roughly: 1/C_out + 1/F². <br>
For 3x3 filters (F=3): Reduction is roughly **1/9th** the computation of standard conv!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📱 Edge Devices</div>
<div class="box-content">Real-time object detection on smartphones, web browsers (TensorFlow.js), and IoT devices.</div>
</div>
`
},
"transfer-learning": {
overview: `
<h3>Transfer Learning - Don't Train from Scratch!</h3>
<p>Use pre-trained models (ImageNet) as feature extractors for your custom task.</p>
<h3>Two Strategies</h3>
<table>
<tr>
<th>Approach</th>
<th>When to Use</th>
<th>How</th>
</tr>
<tr>
<td>Feature Extraction</td>
<td><strong>Small dataset</strong> (<10K images)</td>
<td>Freeze all layers, train only final FC layer</td>
</tr>
<tr>
<td>Fine-tuning</td>
<td><strong>Medium dataset</strong> (10K-100K)</td>
<td>Freeze early layers, train last few + FC</td>
</tr>
<tr>
<td>Full Training</td>
<td><strong>Large dataset</strong> (>1M images)</td>
<td>Use pre-trained as initialization, train all</td>
</tr>
</table>
<div class="callout tip">
<div class="callout-title">💡 Best Practices</div>
• Use pre-trained models when dataset < 100K images<br>
• Start with low learning rate (1e-4) for fine-tuning<br>
• Popular backbones: ResNet50, EfficientNet, ViT
</div>
`,
concepts: `
<h3>Why Transfer Learning Works</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Feature Hierarchy:</strong> Early layers learn universal features (edges, textures) that transfer across domains</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Domain Similarity:</strong> The more similar source and target domains, the better transfer</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Regularization Effect:</strong> Pre-trained weights act as strong priors, preventing overfitting</div>
</div>
<h3>Transfer Learning Quadrant</h3>
<table>
<tr>
<th></th>
<th>Similar Domain</th>
<th>Different Domain</th>
</tr>
<tr>
<td><strong>Large Data</strong></td>
<td>Fine-tune all layers</td>
<td>Fine-tune top layers</td>
</tr>
<tr>
<td><strong>Small Data</strong></td>
<td>Feature extraction</td>
<td>Feature extraction (risky)</td>
</tr>
</table>
`,
math: `
<h3>Learning Rate Strategies</h3>
<p>Different layers need different learning rates during fine-tuning.</p>
<div class="formula">
Discriminative Fine-tuning:<br>
lr_layer_n = lr_base × decay^(L-n)<br>
<br>
Where L = total layers, n = layer index<br>
Example: lr_base=1e-3, decay=0.9<br>
Layer 1: 1e-3 × 0.9^9 ≈ 3.9e-4<br>
Layer 10: 1e-3 × 0.9^0 = 1e-3
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Domain Shift</div>
When source and target distributions differ:<br>
• <strong>Covariate Shift:</strong> P(X) changes, P(Y|X) same<br>
• <strong>Label Shift:</strong> P(Y) changes, P(X|Y) same<br>
• <strong>Concept Shift:</strong> P(Y|X) changes<br>
Transfer learning handles covariate shift well but struggles with concept shift.
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🏥 Medical Imaging</div>
<div class="box-content">
Train on ImageNet, fine-tune for X-ray diagnosis with only 1000 labeled images. Achieves 90%+ accuracy vs 60% from scratch.
</div>
</div>
<div class="info-box">
<div class="box-title">🛒 Retail & E-commerce</div>
<div class="box-content">
Product classification, visual search, inventory management using pre-trained ResNet/EfficientNet models.
</div>
</div>
<div class="info-box">
<div class="box-title">🌍 Satellite Imagery</div>
<div class="box-content">
Land use classification, deforestation detection, urban planning using models pre-trained on aerial imagery.
</div>
</div>
`
},
"localization": {
overview: `
<h3>Object Localization</h3>
<p>Predict both class and bounding box for a single object in image.</p>
<h3>Multi-Task Loss</h3>
<div class="formula">
Total Loss = L_classification + λ × L_bbox<br>
<br>
Where:<br>
L_classification = Cross-Entropy<br>
L_bbox = Smooth L1 or IoU loss<br>
λ = balance term (typically 1-10)
</div>
<h3>Bounding Box Representation</h3>
<ul>
<li><strong>Option 1:</strong> (x_min, y_min, x_max, y_max)</li>
<li><strong>Option 2:</strong> (x_center, y_center, width, height) ← Most common</li>
</ul>
`,
concepts: `
<h3>Localization vs Detection</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Classification:</strong> What is in the image? → "Cat"</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Localization:</strong> Where is the single object? → "Cat at [100, 50, 200, 150]"</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Detection:</strong> Where are ALL objects? → Multiple bounding boxes</div>
</div>
<h3>Network Architecture</h3>
<p>Modify a classification network (ResNet, VGG) by adding a regression head:</p>
<div class="formula">
CNN Backbone → Feature Map → [Classification Head (1000 classes)]<br>
→ [Regression Head (4 coordinates)]
</div>
`,
math: `
<h3>Smooth L1 Loss (Huber Loss)</h3>
<p>Combines L1 and L2 loss for robust bounding box regression.</p>
<div class="formula">
SmoothL1(x) = { 0.5x² if |x| < 1<br>
{ |x| - 0.5 otherwise
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Why Smooth L1?</div>
• <strong>L2 Loss:</strong> Penalizes large errors too much (squared), sensitive to outliers<br>
• <strong>L1 Loss:</strong> Robust to outliers but has discontinuous gradient at 0<br>
• <strong>Smooth L1:</strong> Best of both worlds - quadratic near 0, linear for large errors
</div>
<h3>IoU Loss</h3>
<div class="formula">
L_IoU = 1 - IoU(pred, target)<br>
Where IoU = Intersection / Union
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🚗 Self-Driving Cars</div>
<div class="box-content">Localize the primary vehicle ahead for adaptive cruise control</div>
</div>
<div class="info-box">
<div class="box-title">📸 Photo Auto-Crop</div>
<div class="box-content">Detect main subject and automatically crop to optimal composition</div>
</div>
<div class="info-box">
<div class="box-title">🏥 Medical Imaging</div>
<div class="box-content">Localize tumors, organs, or anomalies in X-rays and CT scans</div>
</div>
`
},
"rcnn": {
overview: `
<h3>R-CNN Family Evolution</h3>
<table>
<tr>
<th>Model</th>
<th>Year</th>
<th>Speed (FPS)</th>
<th>Key Innovation</th>
</tr>
<tr>
<td>R-CNN</td>
<td>2014</td>
<td>0.05</td>
<td>Selective Search + CNN features</td>
</tr>
<tr>
<td>Fast R-CNN</td>
<td>2015</td>
<td>0.5</td>
<td>RoI Pooling (share conv features)</td>
</tr>
<tr>
<td>Faster R-CNN</td>
<td>2015</td>
<td>7</td>
<td>Region Proposal Network (RPN)</td>
</tr>
<tr>
<td>Mask R-CNN</td>
<td>2017</td>
<td>5</td>
<td>+ Instance Segmentation masks</td>
</tr>
</table>
<div class="callout tip">
<div class="callout-title">💡 When to Use</div>
Faster R-CNN: Best accuracy for detection (not real-time)<br>
Mask R-CNN: Detection + instance segmentation
</div>
`,
concepts: `
<h3>Two-Stage Detection Pipeline</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Stage 1 - Region Proposal:</strong> Find ~2000 candidate regions that might contain objects</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Stage 2 - Classification:</strong> Classify each region and refine bounding box</div>
</div>
<h3>Region Proposal Network (RPN)</h3>
<p>The key innovation of Faster R-CNN - learns to propose regions instead of using hand-crafted algorithms.</p>
<div class="formula">
RPN Output per location:<br>
• k anchor boxes × 4 coordinates = 4k regression outputs<br>
• k anchor boxes × 2 objectness scores = 2k classification outputs<br>
Typical k = 9 (3 scales × 3 aspect ratios)
</div>
`,
math: `
<h3>RoI Pooling: Fixed-Size Feature Maps</h3>
<p>Convert variable-size regions into fixed 7×7 feature maps for FC layers.</p>
<div class="formula">
For each RoI of size H×W:<br>
1. Divide into 7×7 grid (cells of size H/7 × W/7)<br>
2. Max-pool each cell → single value<br>
3. Output: Fixed 7×7 feature map regardless of input size
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: RoI Align vs RoI Pool</div>
<strong>Problem:</strong> RoI Pooling quantizes coordinates, causing misalignment.<br>
<strong>Solution:</strong> RoI Align uses bilinear interpolation instead of rounding.<br>
This is critical for Mask R-CNN where pixel-level accuracy matters!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🏥 Medical Imaging</div>
<div class="box-content">High-accuracy tumor detection where speed is less critical than precision</div>
</div>
<div class="info-box">
<div class="box-title">📷 Photo Analysis</div>
<div class="box-content">Face detection, scene understanding, object counting in static images</div>
</div>
<div class="info-box">
<div class="box-title">🔬 Scientific Research</div>
<div class="box-content">Cell detection, particle tracking, microscopy image analysis</div>
</div>
`
},
"ssd": {
overview: `
<h3>SSD (Single Shot MultiBox Detector)</h3>
<p>Balances speed and accuracy by predicting boxes at multiple scales.</p>
<h3>Key Ideas</h3>
<ul>
<li><strong>Multi-Scale:</strong> Predictions from different layers (early = small objects, deep = large)</li>
<li><strong>Default Boxes (Anchors):</strong> Pre-defined boxes of various aspects ratios</li>
<li><strong>Single Pass:</strong> No separate region proposal step</li>
</ul>
<div class="callout insight">
<div class="callout-title">📊 Performance</div>
SSD300: 59 FPS, 74.3% mAP<br>
SSD512: 22 FPS, 76.8% mAP<br>
<br>
Sweet spot between YOLO (faster) and Faster R-CNN (more accurate)
</div>
`,
concepts: `
<h3>Multi-Scale Feature Maps</h3>
<p>SSD makes predictions at multiple layers, each detecting objects at different scales.</p>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Early Layers (38×38):</strong> Detect small objects (high resolution)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Middle Layers (19×19, 10×10):</strong> Detect medium objects</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Deep Layers (5×5, 3×3, 1×1):</strong> Detect large objects</div>
</div>
<h3>Default Boxes (Anchors)</h3>
<p>At each feature map cell, SSD predicts offsets for k default boxes with different aspect ratios (1:1, 2:1, 1:2, 3:1, 1:3).</p>
`,
math: `
<h3>SSD Loss Function</h3>
<p>Weighted sum of localization and confidence losses.</p>
<div class="formula">
L(x, c, l, g) = (1/N) × [L_conf(x, c) + α × L_loc(x, l, g)]<br>
<br>
Where:<br>
• L_conf = Softmax loss over class confidences<br>
• L_loc = Smooth L1 loss over box coordinates<br>
• α = Weight factor (typically 1)<br>
• N = Number of matched default boxes
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Hard Negative Mining</div>
Problem: Most default boxes are background (class imbalance).<br>
Solution: Sort negative boxes by confidence loss, pick top ones so pos:neg = 1:3.<br>
This focuses training on hard negatives, not easy ones.
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📹 Video Analytics</div>
<div class="box-content">Real-time object detection in security cameras, sports broadcasting</div>
</div>
<div class="info-box">
<div class="box-title">🤖 Robotics</div>
<div class="box-content">Object detection for manipulation tasks, obstacle avoidance</div>
</div>
<div class="info-box">
<div class="box-title">📱 Mobile Apps</div>
<div class="box-content">Lightweight models for on-device detection (MobileNet-SSD)</div>
</div>
`
},
"semantic-seg": {
overview: `
<h3>Semantic Segmentation</h3>
<p>Classify every pixel in the image (pixel-wise classification).</p>
<h3>Popular Architectures</h3>
<table>
<tr>
<th>Model</th>
<th>Key Feature</th>
</tr>
<tr>
<td>FCN</td>
<td>Fully Convolutional (no FC layers)</td>
</tr>
<tr>
<td>U-Net</td>
<td>Skip connections from encoder to decoder</td>
</tr>
<tr>
<td>DeepLab</td>
<td>Atrous (dilated) convolutions + ASPP</td>
</tr>
</table>
<div class="formula">
U-Net Pattern:<br>
Input → Encoder (downsample) → Bottleneck → Decoder (upsample) → Pixel-wise Output<br>
With skip connections from encoder to decoder at each level
</div>
`,
concepts: `
<h3>Key Concepts</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Encoder-Decoder:</strong> Downsample to capture context, upsample to recover spatial detail</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Skip Connections:</strong> Pass high-resolution features from encoder to decoder (U-Net)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Atrous Convolution:</strong> Expand receptive field without losing resolution (DeepLab)</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>ASPP:</strong> Atrous Spatial Pyramid Pooling - capture multi-scale context</div>
</div>
`,
math: `
<h3>Dice Loss for Segmentation</h3>
<p>Better than cross-entropy for imbalanced classes (small objects).</p>
<div class="formula">
Dice = 2 × |A ∩ B| / (|A| + |B|)<br>
Dice Loss = 1 - Dice<br>
<br>
Where A = predicted mask, B = ground truth mask
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Why Dice > Cross-Entropy?</div>
If only 1% of pixels are foreground:<br>
• Cross-Entropy: Model can get 99% accuracy by predicting all background!<br>
• Dice: Penalizes missed foreground pixels heavily<br>
• Often use combination: L = BCE + Dice
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🏥 Medical Imaging</div>
<div class="box-content">Tumor segmentation, organ delineation, cell analysis</div>
</div>
<div class="info-box">
<div class="box-title">🚗 Autonomous Driving</div>
<div class="box-content">Road segmentation, free space detection, drivable area</div>
</div>
`
},
"instance-seg": {
overview: `
<h3>Instance Segmentation</h3>
<p>Detect AND segment each individual object (combines object detection + semantic segmentation).</p>
<h3>Difference from Semantic Segmentation</h3>
<ul>
<li><strong>Semantic:</strong> All "person" pixels get same label</li>
<li><strong>Instance:</strong> Person #1, Person #2, Person #3 (separate instances)</li>
</ul>
<h3>Main Approach: Mask R-CNN</h3>
<div class="formula">
Faster R-CNN + Segmentation Branch<br>
<br>
For each RoI:<br>
1. Bounding box regression<br>
2. Class prediction<br>
3. <strong>Binary mask for the object</strong>
</div>
`,
concepts: `
<h3>Mask R-CNN Architecture</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Backbone:</strong> ResNet-50/101 with Feature Pyramid Network (FPN)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>RPN:</strong> Region Proposal Network (same as Faster R-CNN)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>RoI Align:</strong> Better than RoI Pooling (no quantization)</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Mask Head:</strong> Small FCN that outputs 28×28 binary mask per class</div>
</div>
`,
math: `
<h3>Multi-Task Loss</h3>
<p>Mask R-CNN optimizes three losses simultaneously:</p>
<div class="formula">
L = L_cls + L_box + L_mask<br>
<br>
Where:<br>
• L_cls = Classification loss (cross-entropy)<br>
• L_box = Bounding box regression (smooth L1)<br>
• L_mask = Binary cross-entropy per-pixel mask loss
</div>
<div class="callout insight">
<div class="callout-title">📝 Key Insight: Decoupled Masks</div>
Mask R-CNN predicts a binary mask for EACH class independently.<br>
This avoids competition between classes and improves accuracy.
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📸 Photo Editing</div>
<div class="box-content">Auto-select objects for editing, background removal, composition</div>
</div>
<div class="info-box">
<div class="box-title">🤖 Robotics</div>
<div class="box-content">Object manipulation - need exact shape, not just bounding box</div>
</div>
<div class="info-box">
<div class="box-title">🎬 Video Production</div>
<div class="box-content">Rotoscoping, VFX, green screen replacement</div>
</div>
`
},
"face-recog": {
overview: `
<h3>Face Recognition with Siamese Networks</h3>
<p>Learn similarity between faces using metric learning instead of classification.</p>
<h3>Triplet Loss Training</h3>
<div class="formula">
Loss = max(||f(A) - f(P)||² - ||f(A) - f(N)||² + margin, 0)<br>
<br>
Where:<br>
A = Anchor (reference face)<br>
P = Positive (same person)<br>
N = Negative (different person)<br>
margin = minimum separation (e.g., 0.2)
</div>
<div class="callout tip">
<div class="callout-title">💡 One-Shot Learning</div>
After training, recognize new people with just 1-2 photos!<br>
No retraining needed - just compare embeddings.
</div>
`,
concepts: `
<h3>Face Recognition Pipeline</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Face Detection:</strong> Find faces in image (MTCNN, RetinaFace)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Alignment:</strong> Normalize face orientation and scale</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Embedding:</strong> Extract 128/512-dim feature vector (FaceNet, ArcFace)</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Matching:</strong> Compare embeddings with cosine similarity or L2 distance</div>
</div>
<h3>Key Models</h3>
<table>
<tr><th>Model</th><th>Key Innovation</th></tr>
<tr><td>FaceNet</td><td>Triplet loss, 128-dim embedding</td></tr>
<tr><td>ArcFace</td><td>Additive angular margin loss, SOTA accuracy</td></tr>
<tr><td>DeepFace</td><td>Facebook's early success</td></tr>
</table>
`,
math: `
<h3>Triplet Loss Intuition</h3>
<p>Push same-person faces closer, different-person faces apart.</p>
<div class="formula">
||f(A) - f(P)||² + margin < ||f(A) - f(N)||²
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Hard Triplet Mining</div>
Easy triplets: Random selection - margin already satisfied, loss=0<br>
Hard triplets: Find P closest to anchor, N closest to anchor from different class<br>
<strong>Training on hard triplets is critical for convergence!</strong>
</div>
<h3>ArcFace Angular Margin</h3>
<div class="formula">
L = -log(e^(s·cos(θ + m)) / (e^(s·cos(θ + m)) + Σ e^(s·cos(θ_j))))<br>
Where m = angular margin, s = scale factor
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📱 Phone Unlock</div>
<div class="box-content">Face ID, biometric authentication</div>
</div>
<div class="info-box">
<div class="box-title">🔒 Security</div>
<div class="box-content">Access control, surveillance, identity verification</div>
</div>
`
},
"autoencoders": {
overview: `
<h3>Autoencoders</h3>
<p>Unsupervised learning to compress data into latent representation and reconstruct it.</p>
<h3>Architecture</h3>
<div class="formula">
Input → Encoder → Latent Code (bottleneck) → Decoder → Reconstruction<br>
<br>
Loss = ||Input - Reconstruction||² (MSE)
</div>
<h3>Variants</h3>
<ul>
<li><strong>Vanilla:</strong> Basic autoencoder</li>
<li><strong>Denoising:</strong> Input corrupted, output clean (learns robust features)</li>
<li><strong>Variational (VAE):</strong> Probabilistic latent space (for generation)</li>
<li><strong>Sparse:</strong> Encourage sparse activations</li>
</ul>
`,
concepts: `
<h3>Key Concepts</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Bottleneck:</strong> Force information compression by using fewer dimensions than input</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Reconstruction:</strong> Learn to recreate input - captures essential features</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Latent Space:</strong> Compressed representation captures data structure</div>
</div>
<h3>Variational Autoencoder (VAE)</h3>
<p>Instead of encoding to a point, encode to a probability distribution (mean + variance).</p>
<div class="formula">
Encoder outputs: μ (mean) and σ (standard deviation)<br>
Sample: z = μ + σ × ε (where ε ~ N(0,1))<br>
This is the "reparameterization trick" for backprop!
</div>
`,
math: `
<h3>VAE Loss Function (ELBO)</h3>
<p>VAE maximizes the Evidence Lower Bound:</p>
<div class="formula">
L = E[log p(x|z)] - KL(q(z|x) || p(z))<br>
<br>
Where:<br>
• First term: Reconstruction quality<br>
• Second term: KL divergence regularization (push q toward N(0,1))
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: KL Divergence</div>
For Gaussians:<br>
KL = -0.5 × Σ(1 + log(σ²) - μ² - σ²)<br>
This has a closed-form solution - no sampling needed!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🗜️ Compression</div>
<div class="box-content">Dimensionality reduction, data compression, feature extraction</div>
</div>
<div class="info-box">
<div class="box-title">🔍 Anomaly Detection</div>
<div class="box-content">High reconstruction error = anomaly (fraud detection, defect detection)</div>
</div>
`
},
"gans": {
overview: `
<h3>GANs (Generative Adversarial Networks)</h3>
<p>Two networks compete: Generator creates fake data, Discriminator tries to detect fakes.</p>
<h3>The GAN Game</h3>
<div class="formula">
Generator: Creates fake images from random noise<br>
Goal: Fool discriminator<br>
<br>
Discriminator: Classifies real vs fake<br>
Goal: Correctly identify fakes<br>
<br>
Minimax Loss:<br>
min_G max_D E[log D(x)] + E[log(1 - D(G(z)))]
</div>
<div class="callout warning">
<div class="callout-title">⚠️ Training Challenges</div>
• Mode collapse (Generator produces limited variety)<br>
• Training instability (careful tuning needed)<br>
• Convergence issues<br>
• Solutions: Wasserstein GAN, Spectral Normalization, StyleGAN improvements
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🎨 Image Generation</div>
<div class="box-content">
<strong>StyleGAN:</strong> Photorealistic faces, art generation<br>
<strong>DCGAN:</strong> Bedroom images, object generation
</div>
</div>
`,
math: `
<h3>The Minimax Game Objective</h3>
<p>The original GAN objective from Ian Goodfellow (2014) is a zero-sum game between Discriminator (D) and Generator (G).</p>
<div class="formula" style="font-size: 1.1rem; padding: 20px;">
min_G max_D V(D, G) = E_x∼p_data[log D(x)] + E_z∼p_z[log(1 - D(G(z)))]
</div>
<h3>Paper & Pain: Finding the Optimal Discriminator</h3>
<p>For a fixed Generator, the optimal Discriminator D* is:</p>
<div class="formula">
D*(x) = p_data(x) / (p_data(x) + p_g(x))
</div>
<div class="callout insight">
<div class="callout-title">📝 Theoretical Insight</div>
When the Discriminator is optimal, the Generator's task is essentially to minimize the <strong>Jensen-Shannon Divergence (JSD)</strong> between the data distribution and the model distribution. <br>
<strong>Problem:</strong> JSD is "flat" when distributions don't overlap, leading to vanishing gradients. This is why <strong>Wasserstein GAN (WGAN)</strong> was invented—using Earth Mover's distance instead!
</div>
<h3>Generator Gradient Problem</h3>
<p>Early in training, D(G(z)) is near 0. The term log(1-D(G(z))) has a very small gradient. </p>
<div class="list-item">
<div class="list-num">💡</div>
<div><strong>Heuristic Fix:</strong> Instead of minimizing log(1-D(G(z))), we maximize <strong>log D(G(z))</strong>. This provides much stronger gradients early on!</div>
</div>
`
},
"diffusion": {
overview: `
<h3>Diffusion Models</h3>
<p>Learn to reverse a gradual noising process, generating high-quality images.</p>
<h3>How Diffusion Works</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Forward Process:</strong> Gradually add Gaussian noise over T steps (x₀ → x₁ → ... → x_T = pure noise)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Reverse Process:</strong> Train neural network to denoise (x_T → x_{T-1} → ... → x₀ = clean image)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Generation:</strong> Start from random noise, iteratively denoise T steps</div>
</div>
<div class="callout tip">
<div class="callout-title">✅ Advantages over GANs</div>
• More stable training (no adversarial dynamics)<br>
• Better sample quality and diversity<br>
• Mode coverage (no mode collapse)<br>
• Controllable generation (text-to-image)
</div>
`,
concepts: `
<h3>Key Components</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>U-Net Backbone:</strong> Encoder-decoder with skip connections predicts noise at each step</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Time Embedding:</strong> Tell the model which timestep it's at (sinusoidal encoding)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>CLIP Conditioning:</strong> Guide generation with text embeddings (Stable Diffusion)</div>
</div>
<h3>Latent Diffusion</h3>
<p>Instead of diffusing in pixel space (expensive), work in VAE latent space (8× smaller).</p>
<div class="formula">
Image (512×512×3) → VAE Encoder → Latent (64×64×4) → Diffuse → Decode
</div>
`,
math: `
<h3>Forward Process (Noising)</h3>
<p>Add Gaussian noise according to a schedule β_t:</p>
<div class="formula">
q(x_t | x_{t-1}) = N(x_t; √(1-β_t) × x_{t-1}, β_t × I)<br>
<br>
Or in closed form for any t:<br>
x_t = √(ᾱ_t) × x_0 + √(1-ᾱ_t) × ε<br>
Where ᾱ_t = Π_{s=1}^t (1-β_s)
</div>
<h3>Training Objective</h3>
<p>Simple noise prediction loss:</p>
<div class="formula">
L = E[||ε - ε_θ(x_t, t)||²]
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Simplified Loss</div>
The full variational bound is complex, but Ho et al. (2020) showed this simple MSE loss on noise prediction works just as well and is much easier to implement!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🖼️ Text-to-Image</div>
<div class="box-content">
<strong>Stable Diffusion:</strong> Open-source, runs on consumer GPUs<br>
<strong>DALL-E 2:</strong> OpenAI's photorealistic generator<br>
<strong>Midjourney:</strong> Artistic image generation
</div>
</div>
`
},
"rnn": {
overview: `
<h3>RNNs & LSTMs</h3>
<p>Process sequences by maintaining hidden state that captures past information.</p>
<h3>The Vanishing Gradient Problem</h3>
<p><strong>Problem:</strong> Standard RNNs can't learn long-term dependencies (gradients vanish over many time steps)</p>
<p><strong>Solution:</strong> LSTM (Long Short-Term Memory) with gating mechanisms</p>
<h3>LSTM Gates</h3>
<ul>
<li><strong>Forget Gate:</strong> What to remove from cell state</li>
<li><strong>Input Gate:</strong> What new information to add</li>
<li><strong>Output Gate:</strong> What to output as hidden state</li>
</ul>
<div class="callout warning">
<div class="callout-title">⚠️ Limitation</div>
Sequential processing (can't parallelize) - Transformers solved this!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">📝 Text Generation</div>
<div class="box-content">Character-level generation, autocomplete (before Transformers)</div>
</div>
<div class="info-box">
<div class="box-title">🎵 Time Series</div>
<div class="box-content">Stock prediction, weather forecasting, music generation</div>
</div>
`,
math: `
<h3>RNN State Equations</h3>
<p>Standard RNN processes a sequence x₁, x₂, ..., xₜ using a recurring hidden state hₜ.</p>
<div class="formula">
hₜ = tanh(Wₕₕhₜ₋₁ + Wₓₕxₜ + bₕ)<br>
yₜ = Wₕᵧhₜ + bᵧ
</div>
<h3>Paper & Pain: The Vanishing Gradient Derivation</h3>
<p>Why do RNNs fail on long sequences? Let's check the gradient ∂L/∂h₁:</p>
<div class="formula">
∂L/∂h₁ = (∂L/∂hₜ) × (∂hₜ/∂hₜ₋₁) × (∂hₜ₋₁/∂hₜ₋₂) × ... × (∂h₂/∂h₁)<br>
<br>
Where ∂hⱼ/∂hⱼ₋₁ = Wₕₕᵀ diag(tanh'(zⱼ))
</div>
<div class="callout warning">
<div class="callout-title">⚠️ The Power Effect</div>
If the largest eigenvalue of Wₕₕ < 1: Gradients <strong>shrink exponentially</strong> (0.9¹⁰⁰ ≈ 0.00002).<br>
If > 1: Gradients <strong>explode</strong>.<br>
<strong>LSTM Solution:</strong> The "Constant Error Carousel" (CEC) ensures gradients flow via the cell state without multiplication.
</div>
<h3>LSTM Gating Math</h3>
<div class="list-item">
<div class="list-num">01</div>
<div>Forget Gate: fₜ = σ(W_f[hₜ₋₁, xₜ] + b_f)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div>Input Gate: iₜ = σ(W_i[hₜ₋₁, xₜ] + b_i)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div>Cell State Update: cₜ = fₜcₜ₋₁ + iₜtanh(W_c[hₜ₋₁, xₜ] + b_c)</div>
</div>
`
},
"bert": {
overview: `
<h3>BERT (Bidirectional Encoder Representations from Transformers)</h3>
<p>Pre-trained encoder-only Transformer for understanding language (not generation).</p>
<h3>Key Innovation: Bidirectional Context</h3>
<p>Unlike GPT (left-to-right), BERT sees both left AND right context simultaneously.</p>
<h3>Pre-training Tasks</h3>
<ul>
<li><strong>Masked Language Modeling:</strong> Mask 15% of tokens, predict them (e.g., "The cat [MASK] on the mat" → predict "sat")</li>
<li><strong>Next Sentence Prediction:</strong> Predict if sentence B follows A</li>
</ul>
<div class="callout tip">
<div class="callout-title">💡 Fine-tuning BERT</div>
1. Start with pre-trained BERT (trained on billions of words)<br>
2. Add task-specific head (classification, QA, NER)<br>
3. Fine-tune on your dataset (10K-100K examples)<br>
4. Achieves SOTA with minimal data!
</div>
`,
concepts: `
<h3>BERT Architecture</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Encoder Only:</strong> 12/24 Transformer encoder layers (BERT-base/large)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Token Embedding:</strong> WordPiece tokenization (30K vocab)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Segment Embedding:</strong> Distinguish sentence A from sentence B</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>[CLS] Token:</strong> Aggregated representation for classification tasks</div>
</div>
<h3>Model Sizes</h3>
<table>
<tr><th>Model</th><th>Layers</th><th>Hidden</th><th>Params</th></tr>
<tr><td>BERT-base</td><td>12</td><td>768</td><td>110M</td></tr>
<tr><td>BERT-large</td><td>24</td><td>1024</td><td>340M</td></tr>
</table>
`,
math: `
<h3>Masked Language Modeling (MLM)</h3>
<p>BERT's main pre-training objective:</p>
<div class="formula">
L_MLM = -Σ log P(x_masked | x_visible)<br>
<br>
For each masked token, predict using cross-entropy loss
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Masking Strategy</div>
Of the 15% tokens selected for masking:<br>
• 80% → [MASK] token<br>
• 10% → Random token<br>
• 10% → Keep original<br>
This prevents over-reliance on [MASK] during fine-tuning!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🔍 Search & QA</div>
<div class="box-content">
<strong>Google Search:</strong> Uses BERT for understanding queries<br>
Question answering systems, document retrieval
</div>
</div>
<div class="info-box">
<div class="box-title">📊 Text Classification</div>
<div class="box-content">Sentiment analysis, topic classification, spam detection</div>
</div>
`
},
"gpt": {
overview: `
<h3>GPT (Generative Pre-trained Transformer)</h3>
<p>Decoder-only Transformer trained to predict next token (autoregressive language modeling).</p>
<h3>GPT Evolution</h3>
<table>
<tr>
<th>Model</th>
<th>Params</th>
<th>Training Data</th>
<th>Capability</th>
</tr>
<tr>
<td>GPT-1</td>
<td>117M</td>
<td>BooksCorpus</td>
<td>Basic text generation</td>
</tr>
<tr>
<td>GPT-2</td>
<td>1.5B</td>
<td>WebText (40GB)</td>
<td>Coherent paragraphs</td>
</tr>
<tr>
<td>GPT-3</td>
<td>175B</td>
<td>570GB text</td>
<td>Few-shot learning</td>
</tr>
<tr>
<td>GPT-4</td>
<td>~1.8T</td>
<td>Multi-modal</td>
<td>Reasoning, coding, images</td>
</tr>
</table>
<div class="callout insight">
<div class="callout-title">🚀 Emergent Abilities</div>
As models scale, new capabilities emerge:<br>
• In-context learning (learn from prompts)<br>
• Chain-of-thought reasoning<br>
• Code generation<br>
• Multi-step problem solving
</div>
`,
concepts: `
<h3>GPT Architecture</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Decoder Only:</strong> Uses causal (masked) attention - can only see past tokens</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Autoregressive:</strong> Generate one token at a time, feed back as input</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Pre-training:</strong> Next token prediction on massive text corpus</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>RLHF:</strong> Reinforcement Learning from Human Feedback (ChatGPT)</div>
</div>
<h3>In-Context Learning</h3>
<p>GPT-3+ can learn from examples in the prompt without updating weights!</p>
<div class="formula">
Zero-shot: "Translate to French: Hello" → "Bonjour"<br>
Few-shot: "cat→chat, dog→chien, house→?" → "maison"
</div>
`,
math: `
<h3>Causal Language Modeling</h3>
<p>GPT is trained to maximize the likelihood of the next token:</p>
<div class="formula">
L = -Σ log P(x_t | x_{<t})<br>
<br>
Where P(x_t | x_{<t}) = softmax(h_t × W_vocab)
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Scaling Laws</div>
Performance scales predictably with compute, data, and parameters:<br>
L ∝ N^(-0.076) for model size N<br>
This is why OpenAI trained GPT-3 (175B) and GPT-4 (1.8T)!
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">💬 ChatGPT & Assistants</div>
<div class="box-content">
Conversational AI, customer support, tutoring, brainstorming
</div>
</div>
<div class="info-box">
<div class="box-title">💻 Code Generation</div>
<div class="box-content">
GitHub Copilot, code completion, bug fixing, documentation
</div>
</div>
`
},
"vit": {
overview: `
<h3>Vision Transformer (ViT)</h3>
<p>Apply Transformer architecture directly to images by treating them as sequences of patches.</p>
<h3>How ViT Works</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Patchify:</strong> Split 224×224 image into 16×16 patches (14×14 = 196 patches)</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Linear Projection:</strong> Flatten each patch → linear embedding (like word embeddings)</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Positional Encoding:</strong> Add position information</div>
</div>
<div class="list-item">
<div class="list-num">04</div>
<div><strong>Transformer Encoder:</strong> Standard Transformer (self-attention, FFN)</div>
</div>
<div class="list-item">
<div class="list-num">05</div>
<div><strong>Classification:</strong> Use [CLS] token for final prediction</div>
</div>
<div class="callout tip">
<div class="callout-title">💡 When ViT Shines</div>
• <strong>Large Datasets:</strong> Needs 10M+ images (or pre-training on ImageNet-21K)<br>
• <strong>Transfer Learning:</strong> Pre-trained ViT beats CNNs on many tasks<br>
• <strong>Long-Range Dependencies:</strong> Global attention vs CNN's local receptive field
</div>
`,
concepts: `
<h3>ViT vs CNN Comparison</h3>
<table>
<tr><th>Aspect</th><th>CNN</th><th>ViT</th></tr>
<tr><td>Inductive Bias</td><td>Locality, translation invariance</td><td>Minimal - learns from data</td></tr>
<tr><td>Data Efficiency</td><td>Better with small datasets</td><td>Needs large datasets</td></tr>
<tr><td>Receptive Field</td><td>Local (grows with depth)</td><td>Global from layer 1</td></tr>
<tr><td>Scalability</td><td>Diminishing returns</td><td>Scales well with compute</td></tr>
</table>
<h3>Key Innovations</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>No Convolutions:</strong> Pure attention - "An Image is Worth 16x16 Words"</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Learnable Position:</strong> Position embeddings are learned, not sinusoidal</div>
</div>
`,
math: `
<h3>Patch Embedding</h3>
<p>Convert image patches to token embeddings:</p>
<div class="formula">
z_0 = [x_cls; x_p^1 E; x_p^2 E; ...; x_p^N E] + E_pos<br>
<br>
Where:<br>
• x_p^i = flattened patch (16×16×3 = 768 dimensions)<br>
• E = learnable linear projection<br>
• E_pos = position embedding
</div>
<div class="callout insight">
<div class="callout-title">📝 Paper & Pain: Computation</div>
ViT-Base: 12 layers, 768 hidden, 12 heads ~ 86M params<br>
Self-attention cost: O(n²·d) where n=196 patches<br>
This is why ViT is efficient for images (196 tokens) vs text (1000+ tokens)
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">🖼️ Image Classification</div>
<div class="box-content">SOTA on ImageNet with pre-training. Google/DeepMind use for internal systems.</div>
</div>
<div class="info-box">
<div class="box-title">🔍 Object Detection</div>
<div class="box-content">DETR, DINO - Transformer-based detection replacing Faster R-CNN</div>
</div>
<div class="info-box">
<div class="box-title">🎬 Video Understanding</div>
<div class="box-content">VideoViT, TimeSformer - extend patches to 3D (space + time)</div>
</div>
`
},
"gnn": {
overview: `
<h3>Graph Neural Networks (GNNs)</h3>
<p>Deep learning on non-Euclidean data structures like social networks, molecules, and knowledge graphs.</p>
<h3>Key Concepts</h3>
<div class="list-item">
<div class="list-num">01</div>
<div><strong>Graph Structure:</strong> Nodes (entities) and Edges (relationships).</div>
</div>
<div class="list-item">
<div class="list-num">02</div>
<div><strong>Message Passing:</strong> Nodes exchange information with neighbors.</div>
</div>
<div class="list-item">
<div class="list-num">03</div>
<div><strong>Aggregation:</strong> Combine incoming messages (Sum, Mean, Max).</div>
</div>
<div class="callout tip">
<div class="callout-title">💡 Why GNNs?</div>
Standard CNNs expect a fixed grid (euclidean). Graphs have arbitrary size and topology. GNNs are permutation invariant!
</div>
`,
concepts: `
<h3>Message Passing Neural Networks (MPNN)</h3>
<p>The core framework for most GNNs.</p>
<div class="list-item">
<div class="list-num">1</div>
<div><strong>Message Function:</strong> Compute message from neighbor to node.</div>
</div>
<div class="list-item">
<div class="list-num">2</div>
<div><strong>Aggregation Function:</strong> Sum all messages from neighbors.</div>
</div>
<div class="list-item">
<div class="list-num">3</div>
<div><strong>Update Function:</strong> Update node state based on aggregated messages.</div>
</div>
`,
math: `
<h3>Graph Convolution Network (GCN)</h3>
<p>The "Hello World" of GNNs (Kipf & Welling, 2017).</p>
<div class="formula">
H^{(l+1)} = σ(D^{-1/2} A D^{-1/2} H^{(l)} W^{(l)})
</div>
<p>Where:</p>
<ul>
<li><strong>A:</strong> Adjacency Matrix (connections)</li>
<li><strong>D:</strong> Degree Matrix (number of connections)</li>
<li><strong>H:</strong> Node Features</li>
<li><strong>W:</strong> Learnable Weights</li>
</ul>
<div class="callout warning">
<div class="callout-title">⚠️ Over-smoothing</div>
If GNN is too deep, all node representations become indistinguishable. Usually 2-4 layers are enough.
</div>
`,
applications: `
<div class="info-box">
<div class="box-title">💊 Drug Discovery</div>
<div class="box-content">Predicting molecular properties, protein folding (AlphaFold)</div>
</div>
<div class="info-box">
<div class="box-title">🚗 Traffic Prediction</div>
<div class="box-content">Road networks, estimating travel times (Google Maps)</div>
</div>
<div class="info-box">
<div class="box-title">🛒 Recommender Systems</div>
<div class="box-content">Pinterest (PinSage), User-Item graphs</div>
</div>
`
}
};
function createModuleHTML(module) {
const content = MODULE_CONTENT[module.id] || {};
return `
<div class="module" id="${module.id}-module">
<button class="btn-back" onclick="switchTo('dashboard')">← Back to Dashboard</button>
<header>
<h1>${module.icon} ${module.title}</h1>
<p class="subtitle">${module.description}</p>
</header>
<div class="tabs">
<button class="tab-btn active" onclick="switchTab(event, '${module.id}-overview')">Overview</button>
<button class="tab-btn" onclick="switchTab(event, '${module.id}-concepts')">Key Concepts</button>
<button class="tab-btn" onclick="switchTab(event, '${module.id}-visualization')">📊 Visualization</button>
<button class="tab-btn" onclick="switchTab(event, '${module.id}-math')">Math</button>
<button class="tab-btn" onclick="switchTab(event, '${module.id}-applications')">Applications</button>
<button class="tab-btn" onclick="switchTab(event, '${module.id}-summary')">Summary</button>
</div>
<div id="${module.id}-overview" class="tab active">
<div class="section">
<h2>📖 Overview</h2>
${content.overview || `
<p>Complete coverage of ${module.title.toLowerCase()}. Learn the fundamentals, mathematics, real-world applications, and implementation details.</p>
<div class="info-box">
<div class="box-title">Learning Objectives</div>
<div class="box-content">
✓ Understand core concepts and theory<br>
✓ Master mathematical foundations<br>
✓ Learn practical applications<br>
✓ Implement and experiment
</div>
</div>
`}
</div>
</div>
<div id="${module.id}-concepts" class="tab">
<div class="section">
<h2>🎯 Key Concepts</h2>
${content.concepts || `
<p>Fundamental concepts and building blocks for ${module.title.toLowerCase()}.</p>
<div class="callout insight">
<div class="callout-title">💡 Main Ideas</div>
This section covers the core ideas you need to understand before diving into mathematics.
</div>
`}
</div>
</div>
<div id="${module.id}-visualization" class="tab">
<div class="section">
<h2>📊 Interactive Visualization</h2>
<p>Visual representation to help understand ${module.title.toLowerCase()} concepts intuitively.</p>
<div id="${module.id}-viz" class="viz-container">
<canvas id="${module.id}-canvas" width="800" height="400" style="border: 1px solid rgba(0, 212, 255, 0.3); border-radius: 8px; background: rgba(0, 212, 255, 0.02);"></canvas>
</div>
<div class="viz-controls">
<button onclick="drawVisualization('${module.id}')" class="btn-viz">🔄 Refresh Visualization</button>
<button onclick="toggleVizAnimation('${module.id}')" class="btn-viz">▶️ Animate</button>
<button onclick="downloadViz('${module.id}')" class="btn-viz">⬇️ Save Image</button>
</div>
</div>
</div>
<div id="${module.id}-math" class="tab">
<div class="section">
<h2>📐 Mathematical Foundation</h2>
${content.math || `
<p>Rigorous mathematical treatment of ${module.title.toLowerCase()}.</p>
<div class="formula">
Mathematical formulas and derivations go here
</div>
`}
</div>
</div>
<div id="${module.id}-applications" class="tab">
<div class="section">
<h2>🌍 Real-World Applications</h2>
${content.applications || `
<p>How ${module.title.toLowerCase()} is used in practice across different industries.</p>
<div class="info-box">
<div class="box-title">Use Cases</div>
<div class="box-content">
Common applications and practical examples
</div>
</div>
`}
</div>
</div>
<div id="${module.id}-summary" class="tab">
<div class="section">
<h2>✅ Summary</h2>
<div class="info-box">
<div class="box-title">Key Takeaways</div>
<div class="box-content">
✓ Essential concepts covered<br>
✓ Mathematical foundations understood<br>
✓ Real-world applications identified<br>
✓ Ready for implementation
</div>
</div>
</div>
</div>
</div>
`;
}
function initDashboard() {
const grid = document.getElementById("modulesGrid");
const container = document.getElementById("modulesContainer");
modules.forEach(module => {
const card = document.createElement("div");
card.className = "card";
card.style.borderColor = module.color;
card.onclick = () => switchTo(module.id + "-module");
card.innerHTML = `
<div class="card-icon">${module.icon}</div>
<h3>${module.title}</h3>
<p>${module.description}</p>
<span class="category-label">${module.category}</span>
`;
grid.appendChild(card);
const moduleHTML = createModuleHTML(module);
container.innerHTML += moduleHTML;
});
}
function switchTo(target) {
document.querySelectorAll('.dashboard, .module').forEach(el => {
el.classList.remove('active');
});
const elem = document.getElementById(target);
if (elem) elem.classList.add('active');
}
function switchTab(e, tabId) {
const module = e.target.closest('.module');
if (!module) return;
module.querySelectorAll('.tab').forEach(t => t.classList.remove('active'));
module.querySelectorAll('.tab-btn').forEach(b => b.classList.remove('active'));
const tab = document.getElementById(tabId);
if (tab) tab.classList.add('active');
e.target.classList.add('active');
// Trigger visualization when tabs are clicked
setTimeout(() => {
const moduleId = tabId.split('-')[0];
if (tabId.includes('-concepts')) {
drawConceptsVisualization(moduleId);
} else if (tabId.includes('-visualization')) {
drawConceptsVisualization(moduleId);
} else if (tabId.includes('-math')) {
drawMathVisualization(moduleId);
} else if (tabId.includes('-applications')) {
drawApplicationVisualization(moduleId);
}
}, 150);
}
// Visualization Functions - Concepts Tab
function drawConceptsVisualization(moduleId) {
const canvas = document.getElementById(moduleId + '-canvas');
if (!canvas) return;
const ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
ctx.fillStyle = '#0f1419';
ctx.fillRect(0, 0, canvas.width, canvas.height);
const vizMap = {
'nn-basics': drawNeuronAnimation,
'perceptron': drawDecisionBoundary,
'mlp': drawNetworkGraph,
'activation': drawActivationFunctions,
'weight-init': drawWeightDistribution,
'loss': drawLossLandscape,
'optimizers': drawConvergencePaths,
'backprop': drawGradientFlow,
'regularization': drawOverfitComparison,
'batch-norm': drawBatchNormalization,
'cv-intro': drawImageMatrix,
'conv-layer': drawConvolutionAnimation,
'pooling': drawPoolingDemo,
'cnn-basics': drawCNNArchitecture,
'viz-filters': drawLearnedFilters,
'lenet': drawLeNetArchitecture,
'alexnet': drawAlexNetArchitecture,
'vgg': drawVGGArchitecture,
'resnet': drawResNetArchitecture,
'inception': drawInceptionModule,
'mobilenet': drawMobileNetArchitecture,
'transfer-learning': drawTransferLearning,
'localization': drawBoundingBoxes,
'rcnn': drawRCNNPipeline,
'yolo': drawYOLOGrid,
'ssd': drawSSDDetector,
'semantic-seg': drawSemanticSegmentation,
'instance-seg': drawInstanceSegmentation,
'face-recog': drawFaceEmbeddings,
'autoencoders': drawAutoencoderArchitecture,
'gans': drawGANsGame,
'diffusion': drawDiffusionProcess,
'rnn': drawRNNUnrolled,
'transformers': drawAttentionMatrix,
'bert': drawBERTProcess,
'gpt': drawGPTGeneration,
'vit': drawVisionTransformer,
'gnn': drawGraphNetwork
};
if (vizMap[moduleId]) {
vizMap[moduleId](ctx, canvas);
} else {
drawDefaultVisualization(ctx, canvas);
}
}
// Default Visualization
function drawDefaultVisualization(ctx, canvas) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
ctx.fillStyle = 'rgba(0, 212, 255, 0.2)';
ctx.fillRect(centerX - 120, centerY - 60, 240, 120);
ctx.strokeStyle = '#00d4ff';
ctx.lineWidth = 2;
ctx.strokeRect(centerX - 120, centerY - 60, 240, 120);
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 18px Arial';
ctx.textAlign = 'center';
ctx.fillText('📊 Interactive Visualization', centerX, centerY - 20);
ctx.font = '13px Arial';
ctx.fillText('Custom visualization for this topic', centerX, centerY + 20);
ctx.font = '11px Arial';
ctx.fillStyle = '#00ff88';
ctx.fillText('Click Refresh to render', centerX, centerY + 45);
}
// Default Math Visualization
function drawDefaultMathVisualization(ctx, canvas) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
ctx.fillStyle = 'rgba(255, 107, 53, 0.2)';
ctx.fillRect(centerX - 120, centerY - 60, 240, 120);
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 2;
ctx.strokeRect(centerX - 120, centerY - 60, 240, 120);
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 18px Arial';
ctx.textAlign = 'center';
ctx.fillText('📐 Mathematical Formulas', centerX, centerY - 20);
ctx.font = '13px Arial';
ctx.fillText('Visual equation derivations', centerX, centerY + 20);
ctx.font = '11px Arial';
ctx.fillStyle = '#00ff88';
ctx.fillText('Click Visualize to render', centerX, centerY + 45);
}
// Default Application Visualization
function drawDefaultApplicationVisualization(ctx, canvas) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
ctx.fillStyle = 'rgba(0, 255, 136, 0.2)';
ctx.fillRect(centerX - 120, centerY - 60, 240, 120);
ctx.strokeStyle = '#00ff88';
ctx.lineWidth = 2;
ctx.strokeRect(centerX - 120, centerY - 60, 240, 120);
ctx.fillStyle = '#00ff88';
ctx.font = 'bold 18px Arial';
ctx.textAlign = 'center';
ctx.fillText('🌍 Real-World Applications', centerX, centerY - 20);
ctx.font = '13px Arial';
ctx.fillText('Practical use cases and examples', centerX, centerY + 20);
ctx.font = '11px Arial';
ctx.fillStyle = '#ffa500';
ctx.fillText('Click Show Applications to render', centerX, centerY + 45);
}
// Activation Functions Visualization
function drawActivationFunctions(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
const centerX = width / 2;
const centerY = height / 2;
const scale = 40;
// Draw grid
ctx.strokeStyle = 'rgba(0, 212, 255, 0.1)';
ctx.lineWidth = 1;
for (let i = -5; i <= 5; i += 1) {
const x = centerX + i * scale;
ctx.beginPath();
ctx.moveTo(x, centerY - 5 * scale);
ctx.lineTo(x, centerY + 5 * scale);
ctx.stroke();
}
// Draw axes
ctx.strokeStyle = '#00d4ff';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(centerX - 6 * scale, centerY);
ctx.lineTo(centerX + 6 * scale, centerY);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(centerX, centerY - 6 * scale);
ctx.lineTo(centerX, centerY + 6 * scale);
ctx.stroke();
// Draw activation functions
const functions = [
{ name: 'ReLU', color: '#ff6b35', fn: x => Math.max(0, x) },
{ name: 'Sigmoid', color: '#00ff88', fn: x => 1 / (1 + Math.exp(-x)) },
{ name: 'Tanh', color: '#ffa500', fn: x => Math.tanh(x) }
];
functions.forEach(func => {
ctx.strokeStyle = func.color;
ctx.lineWidth = 2;
ctx.beginPath();
for (let x = -5; x <= 5; x += 0.1) {
const y = func.fn(x);
const canvasX = centerX + x * scale;
const canvasY = centerY - y * scale;
if (x === -5) ctx.moveTo(canvasX, canvasY);
else ctx.lineTo(canvasX, canvasY);
}
ctx.stroke();
});
// Legend
ctx.font = 'bold 12px Arial';
functions.forEach((func, i) => {
ctx.fillStyle = func.color;
ctx.fillRect(10, 10 + i * 20, 10, 10);
ctx.fillStyle = '#e4e6eb';
ctx.fillText(func.name, 25, 19 + i * 20);
});
}
// Neural Network Graph
function drawNetworkGraph(ctx, canvas) {
const layers = [2, 3, 3, 1];
const width = canvas.width;
const height = canvas.height;
const layerWidth = width / (layers.length + 1);
ctx.fillStyle = 'rgba(0, 212, 255, 0.05)';
ctx.fillRect(0, 0, width, height);
// Draw neurons and connections
const neuronPositions = [];
layers.forEach((numNeurons, layerIdx) => {
const x = (layerIdx + 1) * layerWidth;
const positions = [];
for (let i = 0; i < numNeurons; i++) {
const y = height / (numNeurons + 1) * (i + 1);
positions.push({ x, y });
// Draw connections to next layer
if (layerIdx < layers.length - 1) {
const nextLayerPositions = [];
const nextX = (layerIdx + 2) * layerWidth;
for (let j = 0; j < layers[layerIdx + 1]; j++) {
const nextY = height / (layers[layerIdx + 1] + 1) * (j + 1);
nextLayerPositions.push({ x: nextX, y: nextY });
}
nextLayerPositions.forEach(next => {
ctx.strokeStyle = 'rgba(0, 212, 255, 0.2)';
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(x, y);
ctx.lineTo(next.x, next.y);
ctx.stroke();
});
}
}
// Draw neurons
positions.forEach(pos => {
ctx.fillStyle = '#00d4ff';
ctx.beginPath();
ctx.arc(pos.x, pos.y, 8, 0, Math.PI * 2);
ctx.fill();
});
neuronPositions.push(positions);
});
// Labels
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 12px Arial';
ctx.textAlign = 'center';
ctx.fillText('Input', layerWidth, height - 10);
ctx.fillText('Hidden 1', layerWidth * 2, height - 10);
ctx.fillText('Hidden 2', layerWidth * 3, height - 10);
ctx.fillText('Output', layerWidth * 4, height - 10);
}
// Convolution Animation
function drawConvolutionAnimation(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
// Draw input image
ctx.fillStyle = 'rgba(0, 212, 255, 0.1)';
ctx.fillRect(20, 20, 150, 150);
ctx.strokeStyle = '#00d4ff';
ctx.lineWidth = 2;
ctx.strokeRect(20, 20, 150, 150);
// Draw filter
ctx.fillStyle = 'rgba(255, 107, 53, 0.1)';
const filterPos = 60 + Math.sin(Date.now() / 1000) * 40;
ctx.fillRect(filterPos, 60, 60, 60);
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 3;
ctx.strokeRect(filterPos, 60, 60, 60);
// Draw output
ctx.fillStyle = 'rgba(0, 255, 136, 0.1)';
ctx.fillRect(width - 170, 20, 150, 150);
ctx.strokeStyle = '#00ff88';
ctx.lineWidth = 2;
ctx.strokeRect(width - 170, 20, 150, 150);
// Draw feature map
for (let i = 0; i < 5; i++) {
for (let j = 0; j < 5; j++) {
const intensity = Math.random() * 100;
ctx.fillStyle = `rgba(0, 212, 255, ${intensity / 100})`;
ctx.fillRect(width - 160 + i * 25, 30 + j * 25, 20, 20);
}
}
// Labels
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 12px Arial';
ctx.textAlign = 'left';
ctx.fillText('Input Image', 20, 190);
ctx.fillText('Filter', filterPos, 140);
ctx.fillText('Feature Map', width - 170, 190);
}
// Loss Landscape
function drawLossLandscape(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
for (let x = 0; x < width; x += 20) {
for (let y = 0; y < height; y += 20) {
const nx = (x - width / 2) / (width / 4);
const ny = (y - height / 2) / (height / 4);
const loss = nx * nx + ny * ny;
const intensity = Math.min(255, loss * 50);
ctx.fillStyle = `rgb(${intensity}, ${100}, ${255 - intensity})`;
ctx.fillRect(x, y, 20, 20);
}
}
// Draw descent path
ctx.strokeStyle = '#00ff88';
ctx.lineWidth = 2;
ctx.beginPath();
const startX = width / 2 + 80;
const startY = height / 2 + 80;
ctx.moveTo(startX, startY);
for (let i = 0; i < 20; i++) {
const angle = Math.atan2(startY - height / 2, startX - width / 2);
const newX = startX - Math.cos(angle) * 15;
const newY = startY - Math.sin(angle) * 15;
ctx.lineTo(newX, newY);
}
ctx.stroke();
// Minimum point
ctx.fillStyle = '#00ff88';
ctx.beginPath();
ctx.arc(width / 2, height / 2, 8, 0, Math.PI * 2);
ctx.fill();
}
// YOLO Grid
function drawYOLOGrid(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
const gridSize = 7;
const cellWidth = width / gridSize;
const cellHeight = height / gridSize;
// Draw grid
ctx.strokeStyle = 'rgba(0, 212, 255, 0.3)';
ctx.lineWidth = 1;
for (let i = 0; i <= gridSize; i++) {
ctx.beginPath();
ctx.moveTo(i * cellWidth, 0);
ctx.lineTo(i * cellWidth, height);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(0, i * cellHeight);
ctx.lineTo(width, i * cellHeight);
ctx.stroke();
}
// Draw detected objects
const detections = [
{ x: 2, y: 2, w: 2, h: 2, conf: 0.95 },
{ x: 4, y: 5, w: 1.5, h: 1.5, conf: 0.87 }
];
detections.forEach(det => {
ctx.fillStyle = `rgba(255, 107, 53, ${det.conf * 0.5})`;
ctx.fillRect(det.x * cellWidth, det.y * cellHeight, det.w * cellWidth, det.h * cellHeight);
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 2;
ctx.strokeRect(det.x * cellWidth, det.y * cellHeight, det.w * cellWidth, det.h * cellHeight);
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 12px Arial';
ctx.fillText((det.conf * 100).toFixed(0) + '%', det.x * cellWidth + 5, det.y * cellHeight + 15);
});
}
// Attention Matrix
function drawAttentionMatrix(ctx, canvas) {
const size = 8;
const cellSize = Math.min(canvas.width, canvas.height) / size;
for (let i = 0; i < size; i++) {
for (let j = 0; j < size; j++) {
const distance = Math.abs(i - j);
const attention = Math.exp(-distance / 2);
const intensity = Math.floor(attention * 255);
ctx.fillStyle = `rgb(${intensity}, 100, ${200 - intensity})`;
ctx.fillRect(i * cellSize, j * cellSize, cellSize, cellSize);
}
}
// Add labels
ctx.fillStyle = '#e4e6eb';
ctx.font = '10px Arial';
ctx.textAlign = 'center';
for (let i = 0; i < size; i++) {
ctx.fillText('w' + i, i * cellSize + cellSize / 2, canvas.height - 5);
}
}
// Math Visualization
function drawMathVisualization(moduleId) {
const canvas = document.getElementById(moduleId + '-math-canvas');
if (!canvas) return;
const ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
ctx.fillStyle = '#0f1419';
ctx.fillRect(0, 0, canvas.width, canvas.height);
const mathVizMap = {
'nn-basics': () => drawNNMath(ctx, canvas),
'activation': () => drawActivationDerivatives(ctx, canvas),
'loss': () => drawLossComparison(ctx, canvas),
'optimizers': () => drawOptimizerSteps(ctx, canvas),
'backprop': () => drawChainRule(ctx, canvas),
'conv-layer': () => drawConvolutionMath(ctx, canvas),
'pooling': () => drawPoolingMath(ctx, canvas),
'regularization': () => drawRegularizationMath(ctx, canvas),
'transformers': () => drawAttentionMath(ctx, canvas),
'rnn': () => drawRNNMath(ctx, canvas),
'gnn': () => drawGNNMath(ctx, canvas)
};
if (mathVizMap[moduleId]) {
mathVizMap[moduleId]();
} else {
drawDefaultMathVisualization(ctx, canvas);
}
}
// Application Visualization
function drawApplicationVisualization(moduleId) {
const canvas = document.getElementById(moduleId + '-app-canvas');
if (!canvas) return;
const ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
ctx.fillStyle = '#0f1419';
ctx.fillRect(0, 0, canvas.width, canvas.height);
const appVizMap = {
'nn-basics': () => drawNNApplications(ctx, canvas),
'cnn-basics': () => drawCNNApplications(ctx, canvas),
'conv-layer': () => drawConvolutionApplications(ctx, canvas),
'yolo': () => drawYOLOApplications(ctx, canvas),
'semantic-seg': () => drawSegmentationApplications(ctx, canvas),
'instance-seg': () => drawInstanceSegmentationApps(ctx, canvas),
'face-recog': () => drawFaceRecognitionApps(ctx, canvas),
'transformers': () => drawTransformerApps(ctx, canvas),
'bert': () => drawBERTApplications(ctx, canvas),
'gpt': () => drawGPTApplications(ctx, canvas),
'gans': () => drawGANApplications(ctx, canvas),
'diffusion': () => drawDiffusionApplications(ctx, canvas),
'gnn': () => drawGNNApplications(ctx, canvas)
};
if (appVizMap[moduleId]) {
appVizMap[moduleId]();
} else {
drawDefaultApplicationVisualization(ctx, canvas);
}
}
// Math visualization helper functions
function drawNNMath(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 18px Arial';
ctx.textAlign = 'center';
ctx.fillText('Forward Pass: y = σ(Wx + b)', canvas.width / 2, 50);
ctx.font = '14px Arial';
ctx.fillStyle = '#00ff88';
ctx.fillText('Linear combination + Non-linearity', canvas.width / 2, 100);
ctx.fillStyle = '#ffa500';
ctx.fillText('W: weights, b: bias, σ: activation', canvas.width / 2, 150);
}
function drawActivationDerivatives(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
const centerX = width / 2;
const centerY = height / 2;
const scale = 40;
ctx.strokeStyle = 'rgba(0, 212, 255, 0.2)';
ctx.lineWidth = 1;
for (let i = -5; i <= 5; i += 1) {
ctx.beginPath();
ctx.moveTo(centerX + i * scale, centerY - 5 * scale);
ctx.lineTo(centerX + i * scale, centerY + 5 * scale);
ctx.stroke();
}
ctx.strokeStyle = '#00ff88';
ctx.lineWidth = 3;
ctx.beginPath();
for (let x = -5; x <= 5; x += 0.1) {
const y = 1 / (1 + Math.exp(-x)) * (1 - 1 / (1 + Math.exp(-x)));
const canvasX = centerX + x * scale;
const canvasY = centerY - y * scale * 10;
if (x === -5) ctx.moveTo(canvasX, canvasY);
else ctx.lineTo(canvasX, canvasY);
}
ctx.stroke();
ctx.fillStyle = '#00ff88';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText("Sigmoid Derivative: σ'(x) = σ(x)(1-σ(x))", canvas.width / 2, 30);
}
function drawLossComparison(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
// MSE
ctx.fillStyle = 'rgba(0, 212, 255, 0.2)';
ctx.fillRect(20, 60, width / 2 - 30, height - 100);
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.fillText('MSE Loss', width / 4, 45);
ctx.font = '12px Arial';
ctx.fillText('L = (1/n)Σ(y-ŷ)²', width / 4, 90);
ctx.fillText('Regression', width / 4, 115);
// Cross-Entropy
ctx.fillStyle = 'rgba(255, 107, 53, 0.2)';
ctx.fillRect(width / 2 + 10, 60, width / 2 - 30, height - 100);
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 14px Arial';
ctx.fillText('Cross-Entropy Loss', width * 3 / 4, 45);
ctx.font = '12px Arial';
ctx.fillText('L = -Σ(y·log(ŷ))', width * 3 / 4, 90);
ctx.fillText('Classification', width * 3 / 4, 115);
}
function drawOptimizerSteps(ctx, canvas) {
const width = canvas.width;
const height = canvas.height;
const centerY = height / 2;
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('SGD', width / 4, 50);
ctx.font = '12px Arial';
ctx.fillText('w = w - α·∇L', width / 4, 100);
ctx.fillStyle = '#00ff88';
ctx.font = 'bold 16px Arial';
ctx.fillText('Momentum', width / 2, 50);
ctx.font = '12px Arial';
ctx.fillText('v = β·v + (1-β)·∇L', width / 2, 100);
ctx.fillStyle = '#ffa500';
ctx.font = 'bold 16px Arial';
ctx.fillText('Adam', width * 3 / 4, 50);
ctx.font = '12px Arial';
ctx.fillText('Adaptive learning rate', width * 3 / 4, 100);
}
function drawChainRule(ctx, canvas) {
const width = canvas.width;
ctx.fillStyle = '#00ff88';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Backpropagation Chain Rule', width / 2, 50);
ctx.font = '12px Arial';
ctx.fillStyle = '#00d4ff';
ctx.fillText('dL/dW = dL/dŷ · dŷ/da · da/dz · dz/dW', width / 2, 100);
ctx.fillStyle = '#ffa500';
ctx.fillText('Compute gradient by multiplying partial derivatives', width / 2, 150);
}
function drawConvolutionMath(ctx, canvas) {
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Convolution Operation', canvas.width / 2, 50);
ctx.font = '12px Arial';
ctx.fillStyle = '#00d4ff';
ctx.fillText('y[i,j] = Σ Σ w[m,n] * x[i+m,j+n] + b', canvas.width / 2, 100);
ctx.fillStyle = '#00ff88';
ctx.fillText('Sliding window element-wise multiplication and summation', canvas.width / 2, 150);
}
function drawPoolingMath(ctx, canvas) {
const width = canvas.width;
ctx.fillStyle = '#00ff88';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Max Pooling', width / 3, 50);
ctx.font = '12px Arial';
ctx.fillText('y = max(neighborhood)', width / 3, 100);
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.fillText('Average Pooling', width * 2 / 3, 50);
ctx.font = '12px Arial';
ctx.fillText('y = avg(neighborhood)', width * 2 / 3, 100);
ctx.fillStyle = '#ffa500';
ctx.font = '11px Arial';
ctx.textAlign = 'center';
ctx.fillText('Reduces spatial dimensions', width / 2, 150);
}
function drawRegularizationMath(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('L1 Regularization: L = Loss + λΣ|w|', canvas.width / 2, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('L2 Regularization: L = Loss + λΣw²', canvas.width / 2, 110);
ctx.fillStyle = '#ffa500';
ctx.fillText('Prevents overfitting by penalizing large weights', canvas.width / 2, 160);
}
function drawAttentionMath(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Attention Mechanism', canvas.width / 2, 50);
ctx.font = '12px Arial';
ctx.fillStyle = '#00ff88';
ctx.fillText('Attention(Q,K,V) = softmax(QK^T/√d_k) · V', canvas.width / 2, 100);
ctx.fillStyle = '#ffa500';
ctx.fillText('Query-Key matching determines how much to focus on each value', canvas.width / 2, 150);
}
function drawRNNMath(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('RNN Hidden State Update', canvas.width / 2, 50);
ctx.font = '12px Arial';
ctx.fillStyle = '#00ff88';
ctx.fillText('h_t = σ(W_h·h_(t-1) + W_x·x_t + b)', canvas.width / 2, 100);
ctx.fillStyle = '#ffa500';
ctx.fillText('Processes sequences step-by-step with recurrent connections', canvas.width / 2, 150);
}
// Application visualization helper functions
function drawNNApplications(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('📱 Stock Price Prediction', canvas.width / 4, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('🏥 Medical Diagnosis', canvas.width / 2, 60);
ctx.fillStyle = '#ffa500';
ctx.fillText('🎮 Game AI', canvas.width * 3 / 4, 60);
ctx.fillStyle = '#ff6b35';
ctx.font = '12px Arial';
ctx.fillText('Fraud Detection', canvas.width / 4, 120);
ctx.fillStyle = '#00d4ff';
ctx.fillText('Recommendation Systems', canvas.width / 2, 120);
ctx.fillStyle = '#00ff88';
ctx.fillText('Credit Scoring', canvas.width * 3 / 4, 120);
}
function drawCNNApplications(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Image Classification', canvas.width / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('Object Detection', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#ffa500';
ctx.font = '12px Arial';
ctx.fillText('Deep Learning Backbone', canvas.width / 2, 150);
}
function drawConvolutionApplications(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('📷 Image Feature Extraction', canvas.width / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('🔍 Edge Detection', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#ffa500';
ctx.font = '12px Arial';
ctx.fillText('Foundation of Computer Vision', canvas.width / 2, 150);
}
function drawYOLOApplications(ctx, canvas) {
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('🚗 Autonomous Driving', canvas.width / 3, 60);
ctx.fillStyle = '#00d4ff';
ctx.fillText('📹 Real-time Video Detection', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.font = '12px Arial';
ctx.fillText('Ultra-fast inference for live applications', canvas.width / 2, 150);
}
function drawSegmentationApplications(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('🏥 Medical Imaging', canvas.width / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('🚗 Autonomous Vehicles', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#ffa500';
ctx.font = '12px Arial';
ctx.fillText('Pixel-level understanding of scenes', canvas.width / 2, 150);
}
function drawInstanceSegmentationApps(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('👥 Person Detection & Tracking', canvas.width / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('🍎 Object Instance Counting', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#ffa500';
ctx.font = '12px Arial';
ctx.fillText('Separates overlapping objects', canvas.width / 2, 150);
}
function drawFaceRecognitionApps(ctx, canvas) {
ctx.fillStyle = '#ffa500';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('📱 Phone Unlock', canvas.width / 3, 60);
ctx.fillStyle = '#00d4ff';
ctx.fillText('🔒 Security Systems', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.font = '12px Arial';
ctx.fillText('Identity verification and access control', canvas.width / 2, 150);
}
function drawTransformerApps(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('💬 ChatGPT / LLMs', canvas.width / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('🌐 Machine Translation', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#ffa500';
ctx.font = '12px Arial';
ctx.fillText('Foundation of modern NLP and beyond', canvas.width / 2, 150);
}
function drawBERTApplications(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('🔍 Semantic Search', canvas.width / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.fillText('❓ Question Answering', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#ffa500';
ctx.font = '12px Arial';
ctx.fillText('Deep language understanding', canvas.width / 2, 150);
}
function drawGPTApplications(ctx, canvas) {
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('✍️ Text Generation', canvas.width / 3, 60);
ctx.fillStyle = '#00d4ff';
ctx.fillText('💡 Idea Assistance', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.font = '12px Arial';
ctx.fillText('Powerful autoregressive language models', canvas.width / 2, 150);
}
function drawGANApplications(ctx, canvas) {
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('🎨 Image Generation', canvas.width / 3, 60);
ctx.fillStyle = '#00d4ff';
ctx.fillText('🎭 Style Transfer', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.font = '12px Arial';
ctx.fillText('Creative content generation and enhancement', canvas.width / 2, 150);
}
function drawDiffusionApplications(ctx, canvas) {
ctx.fillStyle = '#ffa500';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('🖼️ Image Synthesis', canvas.width / 3, 60);
ctx.fillStyle = '#00d4ff';
ctx.fillText('🎬 Stable Diffusion', canvas.width * 2 / 3, 60);
ctx.fillStyle = '#00ff88';
ctx.font = '12px Arial';
ctx.fillText('State-of-the-art generative AI', canvas.width / 2, 150);
}
// Missing visualization stub functions
function drawNeuronAnimation(ctx, canvas) {
drawNetworkGraph(ctx, canvas);
}
function drawDecisionBoundary(ctx, canvas) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
// Draw decision boundary line
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 3;
ctx.beginPath();
ctx.moveTo(0, centerY);
ctx.lineTo(canvas.width, centerY);
ctx.stroke();
// Draw sample points
for (let i = 0; i < 20; i++) {
const x = Math.random() * canvas.width;
const y = Math.random() * canvas.height;
ctx.fillStyle = y < centerY ? '#00d4ff' : '#00ff88';
ctx.beginPath();
ctx.arc(x, y, 5, 0, Math.PI * 2);
ctx.fill();
}
}
function drawWeightDistribution(ctx, canvas) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
// Draw Gaussian distribution
ctx.strokeStyle = '#00d4ff';
ctx.lineWidth = 2;
ctx.beginPath();
for (let x = -100; x <= 100; x += 2) {
const y = Math.exp(-(x * x) / 500) * 80;
const canvasX = centerX + x;
const canvasY = centerY - y;
if (x === -100) ctx.moveTo(canvasX, canvasY);
else ctx.lineTo(canvasX, canvasY);
}
ctx.stroke();
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Weight Distribution (Xavier/He Init)', centerX, 50);
}
function drawConvergencePaths(ctx, canvas) {
drawLossLandscape(ctx, canvas);
}
function drawGradientFlow(ctx, canvas) {
drawChainRule(ctx, canvas);
}
function drawOverfitComparison(ctx, canvas) {
const width = canvas.width;
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Without Regularization', width / 4, 40);
ctx.fillStyle = '#ff6b35';
ctx.fillText('With Regularization', width * 3 / 4, 40);
// Draw wavy overfit line
ctx.strokeStyle = '#00d4ff';
ctx.lineWidth = 2;
ctx.beginPath();
for (let x = 0; x < width / 2 - 20; x += 5) {
const y = 100 + Math.sin(x / 10) * 30 + Math.random() * 20;
if (x === 0) ctx.moveTo(x + 20, y);
else ctx.lineTo(x + 20, y);
}
ctx.stroke();
// Draw smooth regularized line
ctx.strokeStyle = '#ff6b35';
ctx.beginPath();
for (let x = 0; x < width / 2 - 20; x += 5) {
const y = 100 + Math.sin(x / 20) * 15;
if (x === 0) ctx.moveTo(x + width / 2 + 20, y);
else ctx.lineTo(x + width / 2 + 20, y);
}
ctx.stroke();
}
function drawBatchNormalization(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Batch Normalization: μ=0, σ²=1', canvas.width / 2, 50);
// Draw before/after distributions
ctx.fillStyle = '#ffa500';
ctx.fillText('Input Distribution', canvas.width / 4, 100);
ctx.fillStyle = '#00ff88';
ctx.fillText('Normalized Distribution', canvas.width * 3 / 4, 100);
}
function drawImageMatrix(ctx, canvas) {
const cellSize = 20;
for (let i = 0; i < 10; i++) {
for (let j = 0; j < 10; j++) {
const intensity = Math.random();
ctx.fillStyle = `rgba(0, 212, 255, ${intensity})`;
ctx.fillRect(i * cellSize + 100, j * cellSize + 100, cellSize, cellSize);
}
}
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Image as Matrix (Pixel Values)', canvas.width / 2, 50);
}
function drawPoolingDemo(ctx, canvas) {
const cellSize = 30;
const matrix = [[12, 20, 30, 0], [8, 12, 2, 0], [34, 70, 37, 4], [112, 100, 25, 12]];
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Max Pooling Demo (2x2)', canvas.width / 2, 30);
// Draw input matrix
for (let i = 0; i < 4; i++) {
for (let j = 0; j < 4; j++) {
ctx.strokeStyle = '#00d4ff';
ctx.strokeRect(50 + j * cellSize, 50 + i * cellSize, cellSize, cellSize);
ctx.fillStyle = '#e4e6eb';
ctx.font = '10px Arial';
ctx.fillText(matrix[i][j], 50 + j * cellSize + cellSize / 2, 50 + i * cellSize + cellSize / 2 + 4);
}
}
// Draw output (max pooled)
const pooled = [[20, 30], [112, 37]];
for (let i = 0; i < 2; i++) {
for (let j = 0; j < 2; j++) {
ctx.strokeStyle = '#00ff88';
ctx.strokeRect(250 + j * cellSize * 1.5, 70 + i * cellSize * 1.5, cellSize * 1.5, cellSize * 1.5);
ctx.fillStyle = '#00ff88';
ctx.font = 'bold 12px Arial';
ctx.fillText(pooled[i][j], 250 + j * cellSize * 1.5 + cellSize * 0.75, 70 + i * cellSize * 1.5 + cellSize * 0.75 + 5);
}
}
}
function drawCNNArchitecture(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 12px Arial';
ctx.textAlign = 'center';
ctx.fillText('Input', 60, 200);
ctx.fillText('Conv', 160, 200);
ctx.fillText('Pool', 260, 200);
ctx.fillText('Conv', 360, 200);
ctx.fillText('Pool', 460, 200);
ctx.fillText('FC', 560, 200);
ctx.fillText('Output', 660, 200);
// Draw blocks
const blocks = [60, 160, 260, 360, 460, 560, 660];
blocks.forEach((x, i) => {
const height = i === 0 ? 100 : (i < blocks.length - 2 ? 80 - i * 10 : 60);
ctx.strokeStyle = '#00d4ff';
ctx.strokeRect(x - 30, 100, 60, height);
});
}
function drawLearnedFilters(ctx, canvas) {
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('CNN Learned Filters', canvas.width / 2, 30);
const labels = ['Edges', 'Textures', 'Patterns', 'Objects'];
labels.forEach((label, i) => {
const x = (i + 1) * canvas.width / 5;
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 12px Arial';
ctx.fillText(label, x, 80);
// Draw filter representation
for (let j = 0; j < 3; j++) {
for (let k = 0; k < 3; k++) {
const intensity = Math.random();
ctx.fillStyle = `rgba(0, 212, 255, ${intensity})`;
ctx.fillRect(x - 20 + k * 12, 100 + j * 12, 10, 10);
}
}
});
}
function drawLeNetArchitecture(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawAlexNetArchitecture(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawVGGArchitecture(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawResNetArchitecture(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawInceptionModule(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawMobileNetArchitecture(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawTransferLearning(ctx, canvas) { drawCNNArchitecture(ctx, canvas); }
function drawBoundingBoxes(ctx, canvas) {
// Draw sample image
ctx.fillStyle = 'rgba(0, 212, 255, 0.1)';
ctx.fillRect(50, 50, 300, 300);
// Draw bounding boxes
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 3;
ctx.strokeRect(100, 100, 150, 150);
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 12px Arial';
ctx.fillText('Dog 95%', 105, 95);
ctx.strokeStyle = '#00ff88';
ctx.strokeRect(180, 200, 100, 80);
ctx.fillStyle = '#00ff88';
ctx.fillText('Cat 87%', 185, 195);
}
function drawRCNNPipeline(ctx, canvas) { drawBoundingBoxes(ctx, canvas); }
function drawSSDDetector(ctx, canvas) { drawBoundingBoxes(ctx, canvas); }
function drawSemanticSegmentation(ctx, canvas) {
const cellSize = 15;
const colors = ['rgba(0, 212, 255, 0.5)', 'rgba(255, 107, 53, 0.5)', 'rgba(0, 255, 136, 0.5)'];
for (let i = 0; i < 20; i++) {
for (let j = 0; j < 20; j++) {
ctx.fillStyle = colors[Math.floor(Math.random() * colors.length)];
ctx.fillRect(i * cellSize + 100, j * cellSize + 50, cellSize, cellSize);
}
}
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Pixel-wise Classification', canvas.width / 2, 30);
}
function drawInstanceSegmentation(ctx, canvas) { drawSemanticSegmentation(ctx, canvas); }
function drawFaceEmbeddings(ctx, canvas) {
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Face Embedding Space', canvas.width / 2, 30);
// Draw embedding vectors
const faces = 5;
for (let i = 0; i < faces; i++) {
const x = 100 + Math.random() * (canvas.width - 200);
const y = 100 + Math.random() * 200;
ctx.fillStyle = '#00d4ff';
ctx.beginPath();
ctx.arc(x, y, 10, 0, Math.PI * 2);
ctx.fill();
}
}
function drawAutoencoderArchitecture(ctx, canvas) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 12px Arial';
ctx.textAlign = 'center';
const stages = ['Input', 'Encoder', 'Latent', 'Decoder', 'Output'];
stages.forEach((label, i) => {
const x = (i + 1) * canvas.width / 6;
ctx.fillText(label, x, 50);
const height = i === 2 ? 40 : (i === 0 || i === 4 ? 100 : 70);
ctx.strokeStyle = '#00d4ff';
ctx.strokeRect(x - 30, 100, 60, height);
});
}
function drawGANsGame(ctx, canvas) {
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Generator', canvas.width / 3, 50);
ctx.fillStyle = '#00d4ff';
ctx.fillText('Discriminator', canvas.width * 2 / 3, 50);
// DrawGenerator
ctx.strokeStyle = '#ff6b35';
ctx.strokeRect(canvas.width / 3 - 50, 100, 100, 100);
// Draw Discriminator
ctx.strokeStyle = '#00d4ff';
ctx.strokeRect(canvas.width * 2 / 3 - 50, 100, 100, 100);
// Draw arrow
ctx.strokeStyle = '#00ff88';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(canvas.width / 3 + 50, 150);
ctx.lineTo(canvas.width * 2 / 3 - 50, 150);
ctx.stroke();
}
function drawDiffusionProcess(ctx, canvas) {
const steps = 5;
const stepWidth = canvas.width / (steps + 1);
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Diffusion Process: From Noise to Image', canvas.width / 2, 30);
for (let i = 0; i < steps; i++) {
const x = (i + 1) * stepWidth;
const noise = 1 - (i / steps);
ctx.fillStyle = `rgba(0, 212, 255, ${1 - noise})`;
ctx.fillRect(x - 40, 100, 80, 80);
ctx.strokeStyle = '#00d4ff';
ctx.strokeRect(x - 40, 100, 80, 80);
}
}
function drawRNNUnrolled(ctx, canvas) {
const cells = 5;
const cellWidth = canvas.width / (cells + 1);
ctx.fillStyle = '#e4e6eb';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('Unrolled RNN', canvas.width / 2, 30);
for (let i = 0; i < cells; i++) {
const x = (i + 1) * cellWidth;
ctx.strokeStyle = '#00d4ff';
ctx.strokeRect(x - 30, 100, 60, 60);
if (i < cells - 1) {
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(x + 30, 130);
ctx.lineTo(x + cellWidth - 30, 130);
ctx.stroke();
}
}
}
function drawBERTProcess(ctx, canvas) { drawAttentionMatrix(ctx, canvas); }
function drawGPTGeneration(ctx, canvas) { drawAttentionMatrix(ctx, canvas); }
function drawVisionTransformer(ctx, canvas) { drawAttentionMatrix(ctx, canvas); }
function drawVisualization(moduleId) {
drawConceptsVisualization(moduleId);
}
// Animation and download utilities
let animationFrameId = null;
function toggleVizAnimation(moduleId) {
const btn = event.target;
window.vizAnimating = !window.vizAnimating;
if (window.vizAnimating) {
btn.textContent = '⏹️ Stop';
btn.style.background = 'linear-gradient(135deg, #ff4444, #cc0000)';
animateVisualization(moduleId);
} else {
btn.textContent = '▶️ Animate';
btn.style.background = '';
if (animationFrameId) {
cancelAnimationFrame(animationFrameId);
animationFrameId = null;
}
}
}
function animateVisualization(moduleId) {
if (!window.vizAnimating) return;
const canvas = document.getElementById(moduleId + '-canvas');
if (!canvas) return;
const ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
ctx.fillStyle = '#0f1419';
ctx.fillRect(0, 0, canvas.width, canvas.height);
// Call the appropriate animated drawing function
const animatedVizMap = {
'nn-basics': drawAnimatedNetwork,
'perceptron': drawAnimatedDecisionBoundary,
'mlp': drawAnimatedMLP,
'activation': drawAnimatedActivations,
'conv-layer': drawAnimatedConvolution,
'gnn': drawAnimatedGNN,
'transformers': drawAnimatedAttention,
'backprop': drawAnimatedGradientFlow,
'gans': drawAnimatedGAN,
'diffusion': drawAnimatedDiffusion,
'rnn': drawAnimatedRNN
};
if (animatedVizMap[moduleId]) {
animatedVizMap[moduleId](ctx, canvas, Date.now());
} else {
// Default animation - pulsing visualization
drawDefaultAnimation(ctx, canvas, Date.now());
}
animationFrameId = requestAnimationFrame(() => animateVisualization(moduleId));
}
// Default animation for modules without specific animations
function drawDefaultAnimation(ctx, canvas, time) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
const pulse = Math.sin(time / 300) * 0.3 + 0.7;
// Animated neural network
const layers = [3, 4, 4, 2];
const layerWidth = canvas.width / (layers.length + 1);
layers.forEach((neurons, layerIdx) => {
const x = (layerIdx + 1) * layerWidth;
const layerHeight = canvas.height / (neurons + 1);
for (let i = 0; i < neurons; i++) {
const y = (i + 1) * layerHeight;
const radius = 12 + Math.sin(time / 200 + layerIdx + i) * 3;
// Draw neuron
ctx.fillStyle = `rgba(0, 212, 255, ${pulse})`;
ctx.beginPath();
ctx.arc(x, y, radius, 0, Math.PI * 2);
ctx.fill();
// Draw connections to next layer
if (layerIdx < layers.length - 1) {
const nextLayerHeight = canvas.height / (layers[layerIdx + 1] + 1);
const nextX = (layerIdx + 2) * layerWidth;
for (let j = 0; j < layers[layerIdx + 1]; j++) {
const nextY = (j + 1) * nextLayerHeight;
const signalProgress = ((time / 500) + layerIdx * 0.5) % 1;
ctx.strokeStyle = `rgba(0, 212, 255, ${0.3 + signalProgress * 0.3})`;
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(x + radius, y);
ctx.lineTo(nextX - 12, nextY);
ctx.stroke();
// Animated signal dot
const dotX = x + radius + (nextX - 12 - x - radius) * signalProgress;
const dotY = y + (nextY - y) * signalProgress;
ctx.fillStyle = '#00ff88';
ctx.beginPath();
ctx.arc(dotX, dotY, 3, 0, Math.PI * 2);
ctx.fill();
}
}
}
});
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.textAlign = 'center';
ctx.fillText('🔄 Neural Network Animation', centerX, 25);
}
// Animated GNN with message passing
function drawAnimatedGNN(ctx, canvas, time) {
ctx.fillStyle = '#9900ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Graph Neural Network - Message Passing', canvas.width / 2, 30);
const nodes = [
{ x: 100, y: 100 }, { x: 200, y: 60 }, { x: 320, y: 120 },
{ x: 150, y: 200 }, { x: 400, y: 80 }, { x: 450, y: 180 }
];
const edges = [[0, 1], [0, 3], [1, 2], [1, 4], [2, 3], [2, 4], [4, 5]];
// Draw edges
ctx.strokeStyle = 'rgba(153, 0, 255, 0.4)';
ctx.lineWidth = 2;
edges.forEach(e => {
ctx.beginPath();
ctx.moveTo(nodes[e[0]].x, nodes[e[0]].y);
ctx.lineTo(nodes[e[1]].x, nodes[e[1]].y);
ctx.stroke();
});
// Draw animated message passing
const messageProgress = (time / 1000) % 1;
ctx.fillStyle = '#00ff88';
edges.forEach((e, idx) => {
const progress = (messageProgress + idx * 0.15) % 1;
const x = nodes[e[0]].x + (nodes[e[1]].x - nodes[e[0]].x) * progress;
const y = nodes[e[0]].y + (nodes[e[1]].y - nodes[e[0]].y) * progress;
ctx.beginPath();
ctx.arc(x, y, 5, 0, Math.PI * 2);
ctx.fill();
});
// Draw nodes with pulse
const pulse = Math.sin(time / 300) * 5 + 15;
nodes.forEach((n, i) => {
ctx.fillStyle = '#9900ff';
ctx.beginPath();
ctx.arc(n.x, n.y, pulse, 0, Math.PI * 2);
ctx.fill();
ctx.fillStyle = 'white';
ctx.font = '12px Arial';
ctx.textAlign = 'center';
ctx.fillText(i, n.x, n.y + 4);
});
}
// Animated attention matrix
function drawAnimatedAttention(ctx, canvas, time) {
const words = ['The', 'cat', 'sat', 'on', 'mat'];
const cellSize = 50;
const startX = (canvas.width - words.length * cellSize) / 2;
const startY = 80;
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Self-Attention Animation', canvas.width / 2, 30);
// Draw words
ctx.font = '12px Arial';
words.forEach((word, i) => {
ctx.fillStyle = '#e4e6eb';
ctx.fillText(word, startX + i * cellSize + cellSize/2, startY - 10);
ctx.save();
ctx.translate(startX - 20, startY + i * cellSize + cellSize/2);
ctx.fillText(word, 0, 0);
ctx.restore();
});
// Animated attention weights
for (let i = 0; i < words.length; i++) {
for (let j = 0; j < words.length; j++) {
const baseWeight = i === j ? 0.8 : 0.2 + Math.abs(i - j) * 0.1;
const animatedWeight = baseWeight + Math.sin(time / 500 + i + j) * 0.2;
const alpha = Math.max(0.1, Math.min(1, animatedWeight));
ctx.fillStyle = `rgba(0, 212, 255, ${alpha})`;
ctx.fillRect(startX + j * cellSize + 2, startY + i * cellSize + 2, cellSize - 4, cellSize - 4);
ctx.fillStyle = '#e4e6eb';
ctx.font = '10px Arial';
ctx.fillText(animatedWeight.toFixed(2), startX + j * cellSize + cellSize/2, startY + i * cellSize + cellSize/2 + 4);
}
}
}
// Animated gradient flow for backprop
function drawAnimatedGradientFlow(ctx, canvas, time) {
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Backpropagation - Gradient Flow', canvas.width / 2, 30);
const layers = [2, 4, 4, 1];
const layerWidth = canvas.width / (layers.length + 1);
// Forward pass (left to right) - blue
const forwardProgress = (time / 2000) % 1;
layers.forEach((neurons, layerIdx) => {
const x = (layerIdx + 1) * layerWidth;
const layerHeight = canvas.height / (neurons + 1);
for (let i = 0; i < neurons; i++) {
const y = (i + 1) * layerHeight;
// Pulse effect based on forward pass
const isActive = forwardProgress > layerIdx / layers.length;
const radius = isActive ? 15 + Math.sin(time / 200) * 3 : 12;
ctx.fillStyle = isActive ? '#00d4ff' : 'rgba(0, 212, 255, 0.3)';
ctx.beginPath();
ctx.arc(x, y, radius, 0, Math.PI * 2);
ctx.fill();
}
});
// Backward pass (right to left) - orange/red gradients
const backwardProgress = ((time / 2000) + 0.5) % 1;
for (let layerIdx = layers.length - 2; layerIdx >= 0; layerIdx--) {
const x1 = (layerIdx + 1) * layerWidth;
const x2 = (layerIdx + 2) * layerWidth;
const gradientActive = backwardProgress > (layers.length - 2 - layerIdx) / (layers.length - 1);
if (gradientActive) {
const gradX = x2 - (x2 - x1) * ((backwardProgress * (layers.length - 1)) % 1);
ctx.fillStyle = '#ff6b35';
ctx.beginPath();
ctx.arc(gradX, canvas.height / 2, 8, 0, Math.PI * 2);
ctx.fill();
}
}
ctx.fillStyle = '#e4e6eb';
ctx.font = '12px Arial';
ctx.fillText('Forward: Blue → | Backward: Orange ←', canvas.width / 2, canvas.height - 20);
}
// Animated network for nn-basics
function drawAnimatedNetwork(ctx, canvas, time) {
drawDefaultAnimation(ctx, canvas, time);
}
// Animated decision boundary for perceptron
function drawAnimatedDecisionBoundary(ctx, canvas, time) {
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
ctx.fillStyle = '#ff6b35';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Perceptron Decision Boundary', canvas.width / 2, 30);
// Animated rotating decision boundary
const angle = time / 2000;
const length = 200;
ctx.strokeStyle = '#ff6b35';
ctx.lineWidth = 3;
ctx.beginPath();
ctx.moveTo(centerX - Math.cos(angle) * length, centerY - Math.sin(angle) * length);
ctx.lineTo(centerX + Math.cos(angle) * length, centerY + Math.sin(angle) * length);
ctx.stroke();
// Fixed sample points
const points = [
{x: 100, y: 80, c: 1}, {x: 150, y: 100, c: 1}, {x: 120, y: 150, c: 1},
{x: 400, y: 200, c: 0}, {x: 450, y: 180, c: 0}, {x: 380, y: 250, c: 0}
];
points.forEach(p => {
ctx.fillStyle = p.c === 1 ? '#00d4ff' : '#00ff88';
ctx.beginPath();
ctx.arc(p.x, p.y, 8, 0, Math.PI * 2);
ctx.fill();
});
}
function drawAnimatedMLP(ctx, canvas, time) {
drawDefaultAnimation(ctx, canvas, time);
}
function drawAnimatedActivations(ctx, canvas, time) {
drawActivationFunctions(ctx, canvas);
// Add animated input marker
const x = Math.sin(time / 500) * 4;
const centerX = canvas.width / 2;
const centerY = canvas.height / 2;
const scale = 40;
ctx.fillStyle = '#ffffff';
ctx.beginPath();
ctx.arc(centerX + x * scale, centerY, 6, 0, Math.PI * 2);
ctx.fill();
ctx.strokeStyle = '#ffffff';
ctx.setLineDash([5, 5]);
ctx.beginPath();
ctx.moveTo(centerX + x * scale, 0);
ctx.lineTo(centerX + x * scale, canvas.height);
ctx.stroke();
ctx.setLineDash([]);
}
function drawAnimatedConvolution(ctx, canvas, time) {
drawConvolutionAnimation(ctx, canvas);
}
function drawAnimatedGAN(ctx, canvas, time) {
ctx.fillStyle = '#ffaa00';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('GAN Training Animation', canvas.width / 2, 30);
const phase = Math.floor(time / 1000) % 4;
// Generator
ctx.fillStyle = phase <= 1 ? '#00ff88' : 'rgba(0, 255, 136, 0.3)';
ctx.fillRect(50, 100, 100, 80);
ctx.fillStyle = '#e4e6eb';
ctx.font = '12px Arial';
ctx.fillText('Generator', 100, 145);
// Fake image
const noiseToFake = Math.sin(time / 300) * 0.5 + 0.5;
ctx.fillStyle = `rgba(255, 170, 0, ${noiseToFake})`;
ctx.fillRect(200, 110, 60, 60);
ctx.fillStyle = '#e4e6eb';
ctx.fillText('Fake', 230, 200);
// Discriminator
ctx.fillStyle = phase >= 2 ? '#ff6b35' : 'rgba(255, 107, 53, 0.3)';
ctx.fillRect(320, 100, 100, 80);
ctx.fillStyle = '#e4e6eb';
ctx.fillText('Discriminator', 370, 145);
// Output
const output = phase === 3 ? 'Real?' : 'Fake?';
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 14px Arial';
ctx.fillText(output, 370, 220);
// Arrows
ctx.strokeStyle = '#e4e6eb';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(150, 140);
ctx.lineTo(200, 140);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(260, 140);
ctx.lineTo(320, 140);
ctx.stroke();
}
function drawAnimatedDiffusion(ctx, canvas, time) {
ctx.fillStyle = '#9900ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Diffusion Process Animation', canvas.width / 2, 30);
const steps = 5;
const stepWidth = canvas.width / (steps + 1);
const progress = (time / 3000) % 1;
const currentStep = Math.floor(progress * steps);
for (let i = 0; i < steps; i++) {
const x = (i + 1) * stepWidth;
const y = 150;
const noiseLevel = i / (steps - 1);
const isActive = i <= currentStep;
// Draw square with noise
ctx.fillStyle = isActive ? '#9900ff' : 'rgba(153, 0, 255, 0.3)';
ctx.fillRect(x - 30, y - 30, 60, 60);
// Add noise dots
if (noiseLevel > 0) {
for (let j = 0; j < noiseLevel * 20; j++) {
const nx = x - 25 + Math.random() * 50;
const ny = y - 25 + Math.random() * 50;
ctx.fillStyle = 'rgba(255, 255, 255, 0.5)';
ctx.fillRect(nx, ny, 2, 2);
}
}
ctx.fillStyle = '#e4e6eb';
ctx.font = '10px Arial';
ctx.fillText(`t=${i}`, x, y + 50);
}
ctx.fillStyle = '#e4e6eb';
ctx.font = '12px Arial';
ctx.fillText('Clean → Noisy (Forward) | Noisy → Clean (Reverse)', canvas.width / 2, canvas.height - 20);
}
function drawAnimatedRNN(ctx, canvas, time) {
ctx.fillStyle = '#00d4ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('RNN Unrolled Through Time', canvas.width / 2, 30);
const steps = 5;
const stepWidth = canvas.width / (steps + 1);
const progress = (time / 500) % steps;
const activeStep = Math.floor(progress);
for (let i = 0; i < steps; i++) {
const x = (i + 1) * stepWidth;
const y = 150;
const isActive = i === activeStep;
// Hidden state
ctx.fillStyle = isActive ? '#00d4ff' : 'rgba(0, 212, 255, 0.3)';
ctx.beginPath();
ctx.arc(x, y, 25, 0, Math.PI * 2);
ctx.fill();
ctx.fillStyle = '#e4e6eb';
ctx.font = '10px Arial';
ctx.fillText(`h${i}`, x, y + 4);
// Input arrow
ctx.strokeStyle = isActive ? '#00ff88' : 'rgba(0, 255, 136, 0.3)';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(x, y + 60);
ctx.lineTo(x, y + 25);
ctx.stroke();
ctx.fillText(`x${i}`, x, y + 75);
// Recurrent connection
if (i < steps - 1) {
ctx.strokeStyle = isActive ? '#ff6b35' : 'rgba(255, 107, 53, 0.3)';
ctx.beginPath();
ctx.moveTo(x + 25, y);
ctx.lineTo(x + stepWidth - 25, y);
ctx.stroke();
// Animated signal
if (isActive) {
const signalX = x + 25 + (stepWidth - 50) * (progress % 1);
ctx.fillStyle = '#ff6b35';
ctx.beginPath();
ctx.arc(signalX, y, 5, 0, Math.PI * 2);
ctx.fill();
}
}
}
}
function downloadViz(moduleId) {
const canvas = document.getElementById(moduleId + '-canvas');
if (!canvas) return;
const link = document.createElement('a');
link.href = canvas.toDataURL('image/png');
link.download = moduleId + '-visualization.png';
link.click();
}
function drawGraphNetwork(ctx, canvas) {
ctx.fillStyle = '#9900ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Graph Structure & Message Passing', canvas.width / 2, 30);
const nodes = [
{ x: 100, y: 100 }, { x: 200, y: 50 }, { x: 300, y: 150 },
{ x: 150, y: 250 }, { x: 400, y: 100 }, { x: 500, y: 200 }
];
const edges = [
[0, 1], [0, 3], [1, 2], [1, 4], [2, 3], [2, 4], [4, 5]
];
// Draw edges
ctx.strokeStyle = 'rgba(153, 0, 255, 0.4)';
ctx.lineWidth = 2;
edges.forEach(e => {
ctx.beginPath();
ctx.moveTo(nodes[e[0]].x, nodes[e[0]].y);
ctx.lineTo(nodes[e[1]].x, nodes[e[1]].y);
ctx.stroke();
});
// Draw nodes
nodes.forEach((n, i) => {
ctx.fillStyle = '#9900ff';
ctx.beginPath();
ctx.arc(n.x, n.y, 15, 0, Math.PI * 2);
ctx.fill();
ctx.fillStyle = 'white';
ctx.font = '12px Arial';
ctx.fillText(i, n.x, n.y + 4);
});
// Draw Message Passing Animation (fake)
const t = (Date.now() / 1000) % 2;
if (t > 1) {
ctx.strokeStyle = '#00ff88';
ctx.lineWidth = 4;
edges.forEach((e, idx) => {
if (idx % 2 === 0) {
ctx.beginPath();
ctx.moveTo(nodes[e[0]].x, nodes[e[0]].y);
ctx.lineTo(nodes[e[1]].x, nodes[e[1]].y);
ctx.stroke();
}
});
}
}
function drawGNNMath(ctx, canvas) {
ctx.fillStyle = '#9900ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('Graph Convolution Math', canvas.width / 2, 50);
ctx.fillStyle = '#e4e6eb';
ctx.font = '14px Courier New';
ctx.fillText('H(l+1) = σ(D^-½ A D^-½ H(l) W(l))', canvas.width / 2, 100);
ctx.fillStyle = '#00ff88';
ctx.fillText('A = Neighborhood Connections', canvas.width / 2, 150);
ctx.fillStyle = '#ff6b35';
ctx.fillText('D = Normalization Factor', canvas.width / 2, 180);
}
function drawGNNApplications(ctx, canvas) {
ctx.fillStyle = '#9900ff';
ctx.font = 'bold 16px Arial';
ctx.textAlign = 'center';
ctx.fillText('💊 Drug Discovery (Molecular Graphs)', canvas.width / 2, 60);
ctx.fillStyle = '#00d4ff';
ctx.fillText('🚗 Traffic Flow Prediction', canvas.width / 2, 120);
ctx.fillStyle = '#ff6b35';
ctx.fillText('🛒 Pinterest/Amazon Recommendations', canvas.width / 2, 180);
}
initDashboard();
</script>
</body>
</html> |