Spaces:
Running
Running
add new topics
Browse files
DeepLearning/{Deep Learning Curriculum.html β index.html}
RENAMED
|
@@ -47,6 +47,7 @@
|
|
| 47 |
h1 {
|
| 48 |
font-size: 2.5em;
|
| 49 |
background: linear-gradient(135deg, var(--cyan), var(--orange));
|
|
|
|
| 50 |
-webkit-background-clip: text;
|
| 51 |
-webkit-text-fill-color: transparent;
|
| 52 |
margin-bottom: 10px;
|
|
@@ -727,6 +728,14 @@
|
|
| 727 |
category: "Vision",
|
| 728 |
color: "#ff6b35",
|
| 729 |
description: "Transformers applied to image data"
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 730 |
}
|
| 731 |
];
|
| 732 |
|
|
@@ -1398,6 +1407,37 @@
|
|
| 1398 |
Learning Rule: w_new = w_old + Ξ±(y_true - y_pred)x
|
| 1399 |
</div>
|
| 1400 |
`,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1401 |
applications: `
|
| 1402 |
<div class="info-box">
|
| 1403 |
<div class="box-title">π Educational</div>
|
|
@@ -2491,6 +2531,83 @@
|
|
| 2491 |
β’ Start with low learning rate (1e-4) for fine-tuning<br>
|
| 2492 |
β’ Popular backbones: ResNet50, EfficientNet, ViT
|
| 2493 |
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2494 |
`
|
| 2495 |
},
|
| 2496 |
"localization": {
|
|
@@ -2513,6 +2630,64 @@
|
|
| 2513 |
<li><strong>Option 1:</strong> (x_min, y_min, x_max, y_max)</li>
|
| 2514 |
<li><strong>Option 2:</strong> (x_center, y_center, width, height) β Most common</li>
|
| 2515 |
</ul>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2516 |
`
|
| 2517 |
},
|
| 2518 |
"rcnn": {
|
|
@@ -2556,6 +2731,58 @@
|
|
| 2556 |
Faster R-CNN: Best accuracy for detection (not real-time)<br>
|
| 2557 |
Mask R-CNN: Detection + instance segmentation
|
| 2558 |
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2559 |
`
|
| 2560 |
},
|
| 2561 |
"ssd": {
|
|
@@ -2577,6 +2804,61 @@
|
|
| 2577 |
<br>
|
| 2578 |
Sweet spot between YOLO (faster) and Faster R-CNN (more accurate)
|
| 2579 |
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2580 |
`
|
| 2581 |
},
|
| 2582 |
"semantic-seg": {
|
|
@@ -2610,6 +2892,44 @@
|
|
| 2610 |
With skip connections from encoder to decoder at each level
|
| 2611 |
</div>
|
| 2612 |
`,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2613 |
applications: `
|
| 2614 |
<div class="info-box">
|
| 2615 |
<div class="box-title">π₯ Medical Imaging</div>
|
|
@@ -2641,6 +2961,58 @@
|
|
| 2641 |
2. Class prediction<br>
|
| 2642 |
3. <strong>Binary mask for the object</strong>
|
| 2643 |
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2644 |
`
|
| 2645 |
},
|
| 2646 |
"face-recog": {
|
|
@@ -2665,6 +3037,54 @@
|
|
| 2665 |
No retraining needed - just compare embeddings.
|
| 2666 |
</div>
|
| 2667 |
`,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2668 |
applications: `
|
| 2669 |
<div class="info-box">
|
| 2670 |
<div class="box-title">π± Phone Unlock</div>
|
|
@@ -2696,22 +3116,64 @@
|
|
| 2696 |
<li><strong>Sparse:</strong> Encourage sparse activations</li>
|
| 2697 |
</ul>
|
| 2698 |
`,
|
| 2699 |
-
|
| 2700 |
-
<
|
| 2701 |
-
|
| 2702 |
-
<div class="
|
|
|
|
| 2703 |
</div>
|
| 2704 |
-
<div class="
|
| 2705 |
-
<div class="
|
| 2706 |
-
<div
|
| 2707 |
</div>
|
| 2708 |
-
|
| 2709 |
-
|
| 2710 |
-
|
| 2711 |
-
|
| 2712 |
-
|
| 2713 |
-
<
|
| 2714 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2715 |
<h3>The GAN Game</h3>
|
| 2716 |
<div class="formula">
|
| 2717 |
Generator: Creates fake images from random noise<br>
|
|
@@ -2796,6 +3258,50 @@
|
|
| 2796 |
β’ Controllable generation (text-to-image)
|
| 2797 |
</div>
|
| 2798 |
`,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2799 |
applications: `
|
| 2800 |
<div class="info-box">
|
| 2801 |
<div class="box-title">πΌοΈ Text-to-Image</div>
|
|
@@ -2898,6 +3404,51 @@
|
|
| 2898 |
4. Achieves SOTA with minimal data!
|
| 2899 |
</div>
|
| 2900 |
`,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2901 |
applications: `
|
| 2902 |
<div class="info-box">
|
| 2903 |
<div class="box-title">π Search & QA</div>
|
|
@@ -2960,6 +3511,49 @@
|
|
| 2960 |
β’ Multi-step problem solving
|
| 2961 |
</div>
|
| 2962 |
`,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2963 |
applications: `
|
| 2964 |
<div class="info-box">
|
| 2965 |
<div class="box-title">π¬ ChatGPT & Assistants</div>
|
|
@@ -3008,6 +3602,137 @@
|
|
| 3008 |
β’ <strong>Transfer Learning:</strong> Pre-trained ViT beats CNNs on many tasks<br>
|
| 3009 |
β’ <strong>Long-Range Dependencies:</strong> Global attention vs CNN's local receptive field
|
| 3010 |
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 3011 |
`
|
| 3012 |
}
|
| 3013 |
};
|
|
@@ -3226,7 +3951,8 @@
|
|
| 3226 |
'transformers': drawAttentionMatrix,
|
| 3227 |
'bert': drawBERTProcess,
|
| 3228 |
'gpt': drawGPTGeneration,
|
| 3229 |
-
'vit': drawVisionTransformer
|
|
|
|
| 3230 |
};
|
| 3231 |
|
| 3232 |
if (vizMap[moduleId]) {
|
|
@@ -3596,7 +4322,8 @@
|
|
| 3596 |
'pooling': () => drawPoolingMath(ctx, canvas),
|
| 3597 |
'regularization': () => drawRegularizationMath(ctx, canvas),
|
| 3598 |
'transformers': () => drawAttentionMath(ctx, canvas),
|
| 3599 |
-
'rnn': () => drawRNNMath(ctx, canvas)
|
|
|
|
| 3600 |
};
|
| 3601 |
|
| 3602 |
if (mathVizMap[moduleId]) {
|
|
@@ -3628,7 +4355,8 @@
|
|
| 3628 |
'bert': () => drawBERTApplications(ctx, canvas),
|
| 3629 |
'gpt': () => drawGPTApplications(ctx, canvas),
|
| 3630 |
'gans': () => drawGANApplications(ctx, canvas),
|
| 3631 |
-
'diffusion': () => drawDiffusionApplications(ctx, canvas)
|
|
|
|
| 3632 |
};
|
| 3633 |
|
| 3634 |
if (appVizMap[moduleId]) {
|
|
@@ -4335,17 +5063,475 @@
|
|
| 4335 |
}
|
| 4336 |
|
| 4337 |
// Animation and download utilities
|
|
|
|
|
|
|
| 4338 |
function toggleVizAnimation(moduleId) {
|
|
|
|
| 4339 |
window.vizAnimating = !window.vizAnimating;
|
|
|
|
| 4340 |
if (window.vizAnimating) {
|
|
|
|
|
|
|
| 4341 |
animateVisualization(moduleId);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 4342 |
}
|
| 4343 |
}
|
| 4344 |
|
| 4345 |
function animateVisualization(moduleId) {
|
| 4346 |
if (!window.vizAnimating) return;
|
| 4347 |
-
|
| 4348 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 4349 |
}
|
| 4350 |
|
| 4351 |
function downloadViz(moduleId) {
|
|
@@ -4358,6 +5544,86 @@
|
|
| 4358 |
link.click();
|
| 4359 |
}
|
| 4360 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 4361 |
initDashboard();
|
| 4362 |
</script>
|
| 4363 |
</body>
|
|
|
|
| 47 |
h1 {
|
| 48 |
font-size: 2.5em;
|
| 49 |
background: linear-gradient(135deg, var(--cyan), var(--orange));
|
| 50 |
+
background-clip: text;
|
| 51 |
-webkit-background-clip: text;
|
| 52 |
-webkit-text-fill-color: transparent;
|
| 53 |
margin-bottom: 10px;
|
|
|
|
| 728 |
category: "Vision",
|
| 729 |
color: "#ff6b35",
|
| 730 |
description: "Transformers applied to image data"
|
| 731 |
+
},
|
| 732 |
+
{
|
| 733 |
+
id: "gnn",
|
| 734 |
+
title: "Graph Neural Networks",
|
| 735 |
+
icon: "πΈοΈ",
|
| 736 |
+
category: "Advanced",
|
| 737 |
+
color: "#9900ff",
|
| 738 |
+
description: "Deep learning on non-Euclidean graph data"
|
| 739 |
}
|
| 740 |
];
|
| 741 |
|
|
|
|
| 1407 |
Learning Rule: w_new = w_old + Ξ±(y_true - y_pred)x
|
| 1408 |
</div>
|
| 1409 |
`,
|
| 1410 |
+
math: `
|
| 1411 |
+
<h3>Perceptron Learning Algorithm</h3>
|
| 1412 |
+
<p>The perceptron update rule is the simplest form of gradient descent.</p>
|
| 1413 |
+
|
| 1414 |
+
<div class="formula">
|
| 1415 |
+
For each misclassified sample (x, y):<br>
|
| 1416 |
+
w β w + Ξ± Γ y Γ x<br>
|
| 1417 |
+
b β b + Ξ± Γ y
|
| 1418 |
+
</div>
|
| 1419 |
+
|
| 1420 |
+
<div class="callout insight">
|
| 1421 |
+
<div class="callout-title">π Paper & Pain: Manual Training</div>
|
| 1422 |
+
<strong>Data:</strong> xβ = [1, 1], yβ = 1 | xβ = [0, 0], yβ = 0<br>
|
| 1423 |
+
<strong>Initial:</strong> w = [0, 0], b = 0, Ξ± = 1<br>
|
| 1424 |
+
<br>
|
| 1425 |
+
<strong>Iteration 1 (xβ):</strong><br>
|
| 1426 |
+
z = 0Γ1 + 0Γ1 + 0 = 0 β Ε· = 1 β (correct!)<br>
|
| 1427 |
+
<br>
|
| 1428 |
+
<strong>Iteration 2 (xβ):</strong><br>
|
| 1429 |
+
z = 0Γ0 + 0Γ0 + 0 = 0 β Ε· = 1 β (wrong! y=0)<br>
|
| 1430 |
+
Update: w = [0,0] + 1Γ(0-1)Γ[0,0] = [0,0], b = 0 + 1Γ(0-1) = -1<br>
|
| 1431 |
+
<br>
|
| 1432 |
+
Now z(xβ) = 0 + 0 - 1 = -1 β Ε· = 0 β
|
| 1433 |
+
</div>
|
| 1434 |
+
|
| 1435 |
+
<h3>Convergence Theorem</h3>
|
| 1436 |
+
<div class="formula">
|
| 1437 |
+
If data is linearly separable with margin Ξ³ and ||x|| β€ R,<br>
|
| 1438 |
+
perceptron converges in at most (R/Ξ³)Β² updates.
|
| 1439 |
+
</div>
|
| 1440 |
+
`,
|
| 1441 |
applications: `
|
| 1442 |
<div class="info-box">
|
| 1443 |
<div class="box-title">π Educational</div>
|
|
|
|
| 2531 |
β’ Start with low learning rate (1e-4) for fine-tuning<br>
|
| 2532 |
β’ Popular backbones: ResNet50, EfficientNet, ViT
|
| 2533 |
</div>
|
| 2534 |
+
`,
|
| 2535 |
+
concepts: `
|
| 2536 |
+
<h3>Why Transfer Learning Works</h3>
|
| 2537 |
+
<div class="list-item">
|
| 2538 |
+
<div class="list-num">01</div>
|
| 2539 |
+
<div><strong>Feature Hierarchy:</strong> Early layers learn universal features (edges, textures) that transfer across domains</div>
|
| 2540 |
+
</div>
|
| 2541 |
+
<div class="list-item">
|
| 2542 |
+
<div class="list-num">02</div>
|
| 2543 |
+
<div><strong>Domain Similarity:</strong> The more similar source and target domains, the better transfer</div>
|
| 2544 |
+
</div>
|
| 2545 |
+
<div class="list-item">
|
| 2546 |
+
<div class="list-num">03</div>
|
| 2547 |
+
<div><strong>Regularization Effect:</strong> Pre-trained weights act as strong priors, preventing overfitting</div>
|
| 2548 |
+
</div>
|
| 2549 |
+
|
| 2550 |
+
<h3>Transfer Learning Quadrant</h3>
|
| 2551 |
+
<table>
|
| 2552 |
+
<tr>
|
| 2553 |
+
<th></th>
|
| 2554 |
+
<th>Similar Domain</th>
|
| 2555 |
+
<th>Different Domain</th>
|
| 2556 |
+
</tr>
|
| 2557 |
+
<tr>
|
| 2558 |
+
<td><strong>Large Data</strong></td>
|
| 2559 |
+
<td>Fine-tune all layers</td>
|
| 2560 |
+
<td>Fine-tune top layers</td>
|
| 2561 |
+
</tr>
|
| 2562 |
+
<tr>
|
| 2563 |
+
<td><strong>Small Data</strong></td>
|
| 2564 |
+
<td>Feature extraction</td>
|
| 2565 |
+
<td>Feature extraction (risky)</td>
|
| 2566 |
+
</tr>
|
| 2567 |
+
</table>
|
| 2568 |
+
`,
|
| 2569 |
+
math: `
|
| 2570 |
+
<h3>Learning Rate Strategies</h3>
|
| 2571 |
+
<p>Different layers need different learning rates during fine-tuning.</p>
|
| 2572 |
+
|
| 2573 |
+
<div class="formula">
|
| 2574 |
+
Discriminative Fine-tuning:<br>
|
| 2575 |
+
lr_layer_n = lr_base Γ decay^(L-n)<br>
|
| 2576 |
+
<br>
|
| 2577 |
+
Where L = total layers, n = layer index<br>
|
| 2578 |
+
Example: lr_base=1e-3, decay=0.9<br>
|
| 2579 |
+
Layer 1: 1e-3 Γ 0.9^9 β 3.9e-4<br>
|
| 2580 |
+
Layer 10: 1e-3 Γ 0.9^0 = 1e-3
|
| 2581 |
+
</div>
|
| 2582 |
+
|
| 2583 |
+
<div class="callout insight">
|
| 2584 |
+
<div class="callout-title">π Paper & Pain: Domain Shift</div>
|
| 2585 |
+
When source and target distributions differ:<br>
|
| 2586 |
+
β’ <strong>Covariate Shift:</strong> P(X) changes, P(Y|X) same<br>
|
| 2587 |
+
β’ <strong>Label Shift:</strong> P(Y) changes, P(X|Y) same<br>
|
| 2588 |
+
β’ <strong>Concept Shift:</strong> P(Y|X) changes<br>
|
| 2589 |
+
Transfer learning handles covariate shift well but struggles with concept shift.
|
| 2590 |
+
</div>
|
| 2591 |
+
`,
|
| 2592 |
+
applications: `
|
| 2593 |
+
<div class="info-box">
|
| 2594 |
+
<div class="box-title">π₯ Medical Imaging</div>
|
| 2595 |
+
<div class="box-content">
|
| 2596 |
+
Train on ImageNet, fine-tune for X-ray diagnosis with only 1000 labeled images. Achieves 90%+ accuracy vs 60% from scratch.
|
| 2597 |
+
</div>
|
| 2598 |
+
</div>
|
| 2599 |
+
<div class="info-box">
|
| 2600 |
+
<div class="box-title">π Retail & E-commerce</div>
|
| 2601 |
+
<div class="box-content">
|
| 2602 |
+
Product classification, visual search, inventory management using pre-trained ResNet/EfficientNet models.
|
| 2603 |
+
</div>
|
| 2604 |
+
</div>
|
| 2605 |
+
<div class="info-box">
|
| 2606 |
+
<div class="box-title">π Satellite Imagery</div>
|
| 2607 |
+
<div class="box-content">
|
| 2608 |
+
Land use classification, deforestation detection, urban planning using models pre-trained on aerial imagery.
|
| 2609 |
+
</div>
|
| 2610 |
+
</div>
|
| 2611 |
`
|
| 2612 |
},
|
| 2613 |
"localization": {
|
|
|
|
| 2630 |
<li><strong>Option 1:</strong> (x_min, y_min, x_max, y_max)</li>
|
| 2631 |
<li><strong>Option 2:</strong> (x_center, y_center, width, height) β Most common</li>
|
| 2632 |
</ul>
|
| 2633 |
+
`,
|
| 2634 |
+
concepts: `
|
| 2635 |
+
<h3>Localization vs Detection</h3>
|
| 2636 |
+
<div class="list-item">
|
| 2637 |
+
<div class="list-num">01</div>
|
| 2638 |
+
<div><strong>Classification:</strong> What is in the image? β "Cat"</div>
|
| 2639 |
+
</div>
|
| 2640 |
+
<div class="list-item">
|
| 2641 |
+
<div class="list-num">02</div>
|
| 2642 |
+
<div><strong>Localization:</strong> Where is the single object? β "Cat at [100, 50, 200, 150]"</div>
|
| 2643 |
+
</div>
|
| 2644 |
+
<div class="list-item">
|
| 2645 |
+
<div class="list-num">03</div>
|
| 2646 |
+
<div><strong>Detection:</strong> Where are ALL objects? β Multiple bounding boxes</div>
|
| 2647 |
+
</div>
|
| 2648 |
+
|
| 2649 |
+
<h3>Network Architecture</h3>
|
| 2650 |
+
<p>Modify a classification network (ResNet, VGG) by adding a regression head:</p>
|
| 2651 |
+
<div class="formula">
|
| 2652 |
+
CNN Backbone β Feature Map β [Classification Head (1000 classes)]<br>
|
| 2653 |
+
β [Regression Head (4 coordinates)]
|
| 2654 |
+
</div>
|
| 2655 |
+
`,
|
| 2656 |
+
math: `
|
| 2657 |
+
<h3>Smooth L1 Loss (Huber Loss)</h3>
|
| 2658 |
+
<p>Combines L1 and L2 loss for robust bounding box regression.</p>
|
| 2659 |
+
|
| 2660 |
+
<div class="formula">
|
| 2661 |
+
SmoothL1(x) = { 0.5xΒ² if |x| < 1<br>
|
| 2662 |
+
{ |x| - 0.5 otherwise
|
| 2663 |
+
</div>
|
| 2664 |
+
|
| 2665 |
+
<div class="callout insight">
|
| 2666 |
+
<div class="callout-title">π Paper & Pain: Why Smooth L1?</div>
|
| 2667 |
+
β’ <strong>L2 Loss:</strong> Penalizes large errors too much (squared), sensitive to outliers<br>
|
| 2668 |
+
β’ <strong>L1 Loss:</strong> Robust to outliers but has discontinuous gradient at 0<br>
|
| 2669 |
+
β’ <strong>Smooth L1:</strong> Best of both worlds - quadratic near 0, linear for large errors
|
| 2670 |
+
</div>
|
| 2671 |
+
|
| 2672 |
+
<h3>IoU Loss</h3>
|
| 2673 |
+
<div class="formula">
|
| 2674 |
+
L_IoU = 1 - IoU(pred, target)<br>
|
| 2675 |
+
Where IoU = Intersection / Union
|
| 2676 |
+
</div>
|
| 2677 |
+
`,
|
| 2678 |
+
applications: `
|
| 2679 |
+
<div class="info-box">
|
| 2680 |
+
<div class="box-title">π Self-Driving Cars</div>
|
| 2681 |
+
<div class="box-content">Localize the primary vehicle ahead for adaptive cruise control</div>
|
| 2682 |
+
</div>
|
| 2683 |
+
<div class="info-box">
|
| 2684 |
+
<div class="box-title">πΈ Photo Auto-Crop</div>
|
| 2685 |
+
<div class="box-content">Detect main subject and automatically crop to optimal composition</div>
|
| 2686 |
+
</div>
|
| 2687 |
+
<div class="info-box">
|
| 2688 |
+
<div class="box-title">π₯ Medical Imaging</div>
|
| 2689 |
+
<div class="box-content">Localize tumors, organs, or anomalies in X-rays and CT scans</div>
|
| 2690 |
+
</div>
|
| 2691 |
`
|
| 2692 |
},
|
| 2693 |
"rcnn": {
|
|
|
|
| 2731 |
Faster R-CNN: Best accuracy for detection (not real-time)<br>
|
| 2732 |
Mask R-CNN: Detection + instance segmentation
|
| 2733 |
</div>
|
| 2734 |
+
`,
|
| 2735 |
+
concepts: `
|
| 2736 |
+
<h3>Two-Stage Detection Pipeline</h3>
|
| 2737 |
+
<div class="list-item">
|
| 2738 |
+
<div class="list-num">01</div>
|
| 2739 |
+
<div><strong>Stage 1 - Region Proposal:</strong> Find ~2000 candidate regions that might contain objects</div>
|
| 2740 |
+
</div>
|
| 2741 |
+
<div class="list-item">
|
| 2742 |
+
<div class="list-num">02</div>
|
| 2743 |
+
<div><strong>Stage 2 - Classification:</strong> Classify each region and refine bounding box</div>
|
| 2744 |
+
</div>
|
| 2745 |
+
|
| 2746 |
+
<h3>Region Proposal Network (RPN)</h3>
|
| 2747 |
+
<p>The key innovation of Faster R-CNN - learns to propose regions instead of using hand-crafted algorithms.</p>
|
| 2748 |
+
<div class="formula">
|
| 2749 |
+
RPN Output per location:<br>
|
| 2750 |
+
β’ k anchor boxes Γ 4 coordinates = 4k regression outputs<br>
|
| 2751 |
+
β’ k anchor boxes Γ 2 objectness scores = 2k classification outputs<br>
|
| 2752 |
+
Typical k = 9 (3 scales Γ 3 aspect ratios)
|
| 2753 |
+
</div>
|
| 2754 |
+
`,
|
| 2755 |
+
math: `
|
| 2756 |
+
<h3>RoI Pooling: Fixed-Size Feature Maps</h3>
|
| 2757 |
+
<p>Convert variable-size regions into fixed 7Γ7 feature maps for FC layers.</p>
|
| 2758 |
+
|
| 2759 |
+
<div class="formula">
|
| 2760 |
+
For each RoI of size HΓW:<br>
|
| 2761 |
+
1. Divide into 7Γ7 grid (cells of size H/7 Γ W/7)<br>
|
| 2762 |
+
2. Max-pool each cell β single value<br>
|
| 2763 |
+
3. Output: Fixed 7Γ7 feature map regardless of input size
|
| 2764 |
+
</div>
|
| 2765 |
+
|
| 2766 |
+
<div class="callout insight">
|
| 2767 |
+
<div class="callout-title">π Paper & Pain: RoI Align vs RoI Pool</div>
|
| 2768 |
+
<strong>Problem:</strong> RoI Pooling quantizes coordinates, causing misalignment.<br>
|
| 2769 |
+
<strong>Solution:</strong> RoI Align uses bilinear interpolation instead of rounding.<br>
|
| 2770 |
+
This is critical for Mask R-CNN where pixel-level accuracy matters!
|
| 2771 |
+
</div>
|
| 2772 |
+
`,
|
| 2773 |
+
applications: `
|
| 2774 |
+
<div class="info-box">
|
| 2775 |
+
<div class="box-title">π₯ Medical Imaging</div>
|
| 2776 |
+
<div class="box-content">High-accuracy tumor detection where speed is less critical than precision</div>
|
| 2777 |
+
</div>
|
| 2778 |
+
<div class="info-box">
|
| 2779 |
+
<div class="box-title">π· Photo Analysis</div>
|
| 2780 |
+
<div class="box-content">Face detection, scene understanding, object counting in static images</div>
|
| 2781 |
+
</div>
|
| 2782 |
+
<div class="info-box">
|
| 2783 |
+
<div class="box-title">π¬ Scientific Research</div>
|
| 2784 |
+
<div class="box-content">Cell detection, particle tracking, microscopy image analysis</div>
|
| 2785 |
+
</div>
|
| 2786 |
`
|
| 2787 |
},
|
| 2788 |
"ssd": {
|
|
|
|
| 2804 |
<br>
|
| 2805 |
Sweet spot between YOLO (faster) and Faster R-CNN (more accurate)
|
| 2806 |
</div>
|
| 2807 |
+
`,
|
| 2808 |
+
concepts: `
|
| 2809 |
+
<h3>Multi-Scale Feature Maps</h3>
|
| 2810 |
+
<p>SSD makes predictions at multiple layers, each detecting objects at different scales.</p>
|
| 2811 |
+
|
| 2812 |
+
<div class="list-item">
|
| 2813 |
+
<div class="list-num">01</div>
|
| 2814 |
+
<div><strong>Early Layers (38Γ38):</strong> Detect small objects (high resolution)</div>
|
| 2815 |
+
</div>
|
| 2816 |
+
<div class="list-item">
|
| 2817 |
+
<div class="list-num">02</div>
|
| 2818 |
+
<div><strong>Middle Layers (19Γ19, 10Γ10):</strong> Detect medium objects</div>
|
| 2819 |
+
</div>
|
| 2820 |
+
<div class="list-item">
|
| 2821 |
+
<div class="list-num">03</div>
|
| 2822 |
+
<div><strong>Deep Layers (5Γ5, 3Γ3, 1Γ1):</strong> Detect large objects</div>
|
| 2823 |
+
</div>
|
| 2824 |
+
|
| 2825 |
+
<h3>Default Boxes (Anchors)</h3>
|
| 2826 |
+
<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>
|
| 2827 |
+
`,
|
| 2828 |
+
math: `
|
| 2829 |
+
<h3>SSD Loss Function</h3>
|
| 2830 |
+
<p>Weighted sum of localization and confidence losses.</p>
|
| 2831 |
+
|
| 2832 |
+
<div class="formula">
|
| 2833 |
+
L(x, c, l, g) = (1/N) Γ [L_conf(x, c) + Ξ± Γ L_loc(x, l, g)]<br>
|
| 2834 |
+
<br>
|
| 2835 |
+
Where:<br>
|
| 2836 |
+
β’ L_conf = Softmax loss over class confidences<br>
|
| 2837 |
+
β’ L_loc = Smooth L1 loss over box coordinates<br>
|
| 2838 |
+
β’ Ξ± = Weight factor (typically 1)<br>
|
| 2839 |
+
β’ N = Number of matched default boxes
|
| 2840 |
+
</div>
|
| 2841 |
+
|
| 2842 |
+
<div class="callout insight">
|
| 2843 |
+
<div class="callout-title">π Paper & Pain: Hard Negative Mining</div>
|
| 2844 |
+
Problem: Most default boxes are background (class imbalance).<br>
|
| 2845 |
+
Solution: Sort negative boxes by confidence loss, pick top ones so pos:neg = 1:3.<br>
|
| 2846 |
+
This focuses training on hard negatives, not easy ones.
|
| 2847 |
+
</div>
|
| 2848 |
+
`,
|
| 2849 |
+
applications: `
|
| 2850 |
+
<div class="info-box">
|
| 2851 |
+
<div class="box-title">πΉ Video Analytics</div>
|
| 2852 |
+
<div class="box-content">Real-time object detection in security cameras, sports broadcasting</div>
|
| 2853 |
+
</div>
|
| 2854 |
+
<div class="info-box">
|
| 2855 |
+
<div class="box-title">π€ Robotics</div>
|
| 2856 |
+
<div class="box-content">Object detection for manipulation tasks, obstacle avoidance</div>
|
| 2857 |
+
</div>
|
| 2858 |
+
<div class="info-box">
|
| 2859 |
+
<div class="box-title">π± Mobile Apps</div>
|
| 2860 |
+
<div class="box-content">Lightweight models for on-device detection (MobileNet-SSD)</div>
|
| 2861 |
+
</div>
|
| 2862 |
`
|
| 2863 |
},
|
| 2864 |
"semantic-seg": {
|
|
|
|
| 2892 |
With skip connections from encoder to decoder at each level
|
| 2893 |
</div>
|
| 2894 |
`,
|
| 2895 |
+
concepts: `
|
| 2896 |
+
<h3>Key Concepts</h3>
|
| 2897 |
+
<div class="list-item">
|
| 2898 |
+
<div class="list-num">01</div>
|
| 2899 |
+
<div><strong>Encoder-Decoder:</strong> Downsample to capture context, upsample to recover spatial detail</div>
|
| 2900 |
+
</div>
|
| 2901 |
+
<div class="list-item">
|
| 2902 |
+
<div class="list-num">02</div>
|
| 2903 |
+
<div><strong>Skip Connections:</strong> Pass high-resolution features from encoder to decoder (U-Net)</div>
|
| 2904 |
+
</div>
|
| 2905 |
+
<div class="list-item">
|
| 2906 |
+
<div class="list-num">03</div>
|
| 2907 |
+
<div><strong>Atrous Convolution:</strong> Expand receptive field without losing resolution (DeepLab)</div>
|
| 2908 |
+
</div>
|
| 2909 |
+
<div class="list-item">
|
| 2910 |
+
<div class="list-num">04</div>
|
| 2911 |
+
<div><strong>ASPP:</strong> Atrous Spatial Pyramid Pooling - capture multi-scale context</div>
|
| 2912 |
+
</div>
|
| 2913 |
+
`,
|
| 2914 |
+
math: `
|
| 2915 |
+
<h3>Dice Loss for Segmentation</h3>
|
| 2916 |
+
<p>Better than cross-entropy for imbalanced classes (small objects).</p>
|
| 2917 |
+
|
| 2918 |
+
<div class="formula">
|
| 2919 |
+
Dice = 2 Γ |A β© B| / (|A| + |B|)<br>
|
| 2920 |
+
Dice Loss = 1 - Dice<br>
|
| 2921 |
+
<br>
|
| 2922 |
+
Where A = predicted mask, B = ground truth mask
|
| 2923 |
+
</div>
|
| 2924 |
+
|
| 2925 |
+
<div class="callout insight">
|
| 2926 |
+
<div class="callout-title">π Paper & Pain: Why Dice > Cross-Entropy?</div>
|
| 2927 |
+
If only 1% of pixels are foreground:<br>
|
| 2928 |
+
β’ Cross-Entropy: Model can get 99% accuracy by predicting all background!<br>
|
| 2929 |
+
β’ Dice: Penalizes missed foreground pixels heavily<br>
|
| 2930 |
+
β’ Often use combination: L = BCE + Dice
|
| 2931 |
+
</div>
|
| 2932 |
+
`,
|
| 2933 |
applications: `
|
| 2934 |
<div class="info-box">
|
| 2935 |
<div class="box-title">π₯ Medical Imaging</div>
|
|
|
|
| 2961 |
2. Class prediction<br>
|
| 2962 |
3. <strong>Binary mask for the object</strong>
|
| 2963 |
</div>
|
| 2964 |
+
`,
|
| 2965 |
+
concepts: `
|
| 2966 |
+
<h3>Mask R-CNN Architecture</h3>
|
| 2967 |
+
<div class="list-item">
|
| 2968 |
+
<div class="list-num">01</div>
|
| 2969 |
+
<div><strong>Backbone:</strong> ResNet-50/101 with Feature Pyramid Network (FPN)</div>
|
| 2970 |
+
</div>
|
| 2971 |
+
<div class="list-item">
|
| 2972 |
+
<div class="list-num">02</div>
|
| 2973 |
+
<div><strong>RPN:</strong> Region Proposal Network (same as Faster R-CNN)</div>
|
| 2974 |
+
</div>
|
| 2975 |
+
<div class="list-item">
|
| 2976 |
+
<div class="list-num">03</div>
|
| 2977 |
+
<div><strong>RoI Align:</strong> Better than RoI Pooling (no quantization)</div>
|
| 2978 |
+
</div>
|
| 2979 |
+
<div class="list-item">
|
| 2980 |
+
<div class="list-num">04</div>
|
| 2981 |
+
<div><strong>Mask Head:</strong> Small FCN that outputs 28Γ28 binary mask per class</div>
|
| 2982 |
+
</div>
|
| 2983 |
+
`,
|
| 2984 |
+
math: `
|
| 2985 |
+
<h3>Multi-Task Loss</h3>
|
| 2986 |
+
<p>Mask R-CNN optimizes three losses simultaneously:</p>
|
| 2987 |
+
|
| 2988 |
+
<div class="formula">
|
| 2989 |
+
L = L_cls + L_box + L_mask<br>
|
| 2990 |
+
<br>
|
| 2991 |
+
Where:<br>
|
| 2992 |
+
β’ L_cls = Classification loss (cross-entropy)<br>
|
| 2993 |
+
β’ L_box = Bounding box regression (smooth L1)<br>
|
| 2994 |
+
β’ L_mask = Binary cross-entropy per-pixel mask loss
|
| 2995 |
+
</div>
|
| 2996 |
+
|
| 2997 |
+
<div class="callout insight">
|
| 2998 |
+
<div class="callout-title">π Key Insight: Decoupled Masks</div>
|
| 2999 |
+
Mask R-CNN predicts a binary mask for EACH class independently.<br>
|
| 3000 |
+
This avoids competition between classes and improves accuracy.
|
| 3001 |
+
</div>
|
| 3002 |
+
`,
|
| 3003 |
+
applications: `
|
| 3004 |
+
<div class="info-box">
|
| 3005 |
+
<div class="box-title">πΈ Photo Editing</div>
|
| 3006 |
+
<div class="box-content">Auto-select objects for editing, background removal, composition</div>
|
| 3007 |
+
</div>
|
| 3008 |
+
<div class="info-box">
|
| 3009 |
+
<div class="box-title">π€ Robotics</div>
|
| 3010 |
+
<div class="box-content">Object manipulation - need exact shape, not just bounding box</div>
|
| 3011 |
+
</div>
|
| 3012 |
+
<div class="info-box">
|
| 3013 |
+
<div class="box-title">π¬ Video Production</div>
|
| 3014 |
+
<div class="box-content">Rotoscoping, VFX, green screen replacement</div>
|
| 3015 |
+
</div>
|
| 3016 |
`
|
| 3017 |
},
|
| 3018 |
"face-recog": {
|
|
|
|
| 3037 |
No retraining needed - just compare embeddings.
|
| 3038 |
</div>
|
| 3039 |
`,
|
| 3040 |
+
concepts: `
|
| 3041 |
+
<h3>Face Recognition Pipeline</h3>
|
| 3042 |
+
<div class="list-item">
|
| 3043 |
+
<div class="list-num">01</div>
|
| 3044 |
+
<div><strong>Face Detection:</strong> Find faces in image (MTCNN, RetinaFace)</div>
|
| 3045 |
+
</div>
|
| 3046 |
+
<div class="list-item">
|
| 3047 |
+
<div class="list-num">02</div>
|
| 3048 |
+
<div><strong>Alignment:</strong> Normalize face orientation and scale</div>
|
| 3049 |
+
</div>
|
| 3050 |
+
<div class="list-item">
|
| 3051 |
+
<div class="list-num">03</div>
|
| 3052 |
+
<div><strong>Embedding:</strong> Extract 128/512-dim feature vector (FaceNet, ArcFace)</div>
|
| 3053 |
+
</div>
|
| 3054 |
+
<div class="list-item">
|
| 3055 |
+
<div class="list-num">04</div>
|
| 3056 |
+
<div><strong>Matching:</strong> Compare embeddings with cosine similarity or L2 distance</div>
|
| 3057 |
+
</div>
|
| 3058 |
+
|
| 3059 |
+
<h3>Key Models</h3>
|
| 3060 |
+
<table>
|
| 3061 |
+
<tr><th>Model</th><th>Key Innovation</th></tr>
|
| 3062 |
+
<tr><td>FaceNet</td><td>Triplet loss, 128-dim embedding</td></tr>
|
| 3063 |
+
<tr><td>ArcFace</td><td>Additive angular margin loss, SOTA accuracy</td></tr>
|
| 3064 |
+
<tr><td>DeepFace</td><td>Facebook's early success</td></tr>
|
| 3065 |
+
</table>
|
| 3066 |
+
`,
|
| 3067 |
+
math: `
|
| 3068 |
+
<h3>Triplet Loss Intuition</h3>
|
| 3069 |
+
<p>Push same-person faces closer, different-person faces apart.</p>
|
| 3070 |
+
|
| 3071 |
+
<div class="formula">
|
| 3072 |
+
||f(A) - f(P)||Β² + margin < ||f(A) - f(N)||Β²
|
| 3073 |
+
</div>
|
| 3074 |
+
|
| 3075 |
+
<div class="callout insight">
|
| 3076 |
+
<div class="callout-title">π Paper & Pain: Hard Triplet Mining</div>
|
| 3077 |
+
Easy triplets: Random selection - margin already satisfied, loss=0<br>
|
| 3078 |
+
Hard triplets: Find P closest to anchor, N closest to anchor from different class<br>
|
| 3079 |
+
<strong>Training on hard triplets is critical for convergence!</strong>
|
| 3080 |
+
</div>
|
| 3081 |
+
|
| 3082 |
+
<h3>ArcFace Angular Margin</h3>
|
| 3083 |
+
<div class="formula">
|
| 3084 |
+
L = -log(e^(sΒ·cos(ΞΈ + m)) / (e^(sΒ·cos(ΞΈ + m)) + Ξ£ e^(sΒ·cos(ΞΈ_j))))<br>
|
| 3085 |
+
Where m = angular margin, s = scale factor
|
| 3086 |
+
</div>
|
| 3087 |
+
`,
|
| 3088 |
applications: `
|
| 3089 |
<div class="info-box">
|
| 3090 |
<div class="box-title">π± Phone Unlock</div>
|
|
|
|
| 3116 |
<li><strong>Sparse:</strong> Encourage sparse activations</li>
|
| 3117 |
</ul>
|
| 3118 |
`,
|
| 3119 |
+
concepts: `
|
| 3120 |
+
<h3>Key Concepts</h3>
|
| 3121 |
+
<div class="list-item">
|
| 3122 |
+
<div class="list-num">01</div>
|
| 3123 |
+
<div><strong>Bottleneck:</strong> Force information compression by using fewer dimensions than input</div>
|
| 3124 |
</div>
|
| 3125 |
+
<div class="list-item">
|
| 3126 |
+
<div class="list-num">02</div>
|
| 3127 |
+
<div><strong>Reconstruction:</strong> Learn to recreate input - captures essential features</div>
|
| 3128 |
</div>
|
| 3129 |
+
<div class="list-item">
|
| 3130 |
+
<div class="list-num">03</div>
|
| 3131 |
+
<div><strong>Latent Space:</strong> Compressed representation captures data structure</div>
|
| 3132 |
+
</div>
|
| 3133 |
+
|
| 3134 |
+
<h3>Variational Autoencoder (VAE)</h3>
|
| 3135 |
+
<p>Instead of encoding to a point, encode to a probability distribution (mean + variance).</p>
|
| 3136 |
+
<div class="formula">
|
| 3137 |
+
Encoder outputs: ΞΌ (mean) and Ο (standard deviation)<br>
|
| 3138 |
+
Sample: z = ΞΌ + Ο Γ Ξ΅ (where Ξ΅ ~ N(0,1))<br>
|
| 3139 |
+
This is the "reparameterization trick" for backprop!
|
| 3140 |
+
</div>
|
| 3141 |
+
`,
|
| 3142 |
+
math: `
|
| 3143 |
+
<h3>VAE Loss Function (ELBO)</h3>
|
| 3144 |
+
<p>VAE maximizes the Evidence Lower Bound:</p>
|
| 3145 |
+
|
| 3146 |
+
<div class="formula">
|
| 3147 |
+
L = E[log p(x|z)] - KL(q(z|x) || p(z))<br>
|
| 3148 |
+
<br>
|
| 3149 |
+
Where:<br>
|
| 3150 |
+
β’ First term: Reconstruction quality<br>
|
| 3151 |
+
β’ Second term: KL divergence regularization (push q toward N(0,1))
|
| 3152 |
+
</div>
|
| 3153 |
+
|
| 3154 |
+
<div class="callout insight">
|
| 3155 |
+
<div class="callout-title">π Paper & Pain: KL Divergence</div>
|
| 3156 |
+
For Gaussians:<br>
|
| 3157 |
+
KL = -0.5 Γ Ξ£(1 + log(ΟΒ²) - ΞΌΒ² - ΟΒ²)<br>
|
| 3158 |
+
This has a closed-form solution - no sampling needed!
|
| 3159 |
+
</div>
|
| 3160 |
+
`,
|
| 3161 |
+
applications: `
|
| 3162 |
+
<div class="info-box">
|
| 3163 |
+
<div class="box-title">ποΈ Compression</div>
|
| 3164 |
+
<div class="box-content">Dimensionality reduction, data compression, feature extraction</div>
|
| 3165 |
+
</div>
|
| 3166 |
+
<div class="info-box">
|
| 3167 |
+
<div class="box-title">π Anomaly Detection</div>
|
| 3168 |
+
<div class="box-content">High reconstruction error = anomaly (fraud detection, defect detection)</div>
|
| 3169 |
+
</div>
|
| 3170 |
+
`
|
| 3171 |
+
},
|
| 3172 |
+
"gans": {
|
| 3173 |
+
overview: `
|
| 3174 |
+
<h3>GANs (Generative Adversarial Networks)</h3>
|
| 3175 |
+
<p>Two networks compete: Generator creates fake data, Discriminator tries to detect fakes.</p>
|
| 3176 |
+
|
| 3177 |
<h3>The GAN Game</h3>
|
| 3178 |
<div class="formula">
|
| 3179 |
Generator: Creates fake images from random noise<br>
|
|
|
|
| 3258 |
β’ Controllable generation (text-to-image)
|
| 3259 |
</div>
|
| 3260 |
`,
|
| 3261 |
+
concepts: `
|
| 3262 |
+
<h3>Key Components</h3>
|
| 3263 |
+
<div class="list-item">
|
| 3264 |
+
<div class="list-num">01</div>
|
| 3265 |
+
<div><strong>U-Net Backbone:</strong> Encoder-decoder with skip connections predicts noise at each step</div>
|
| 3266 |
+
</div>
|
| 3267 |
+
<div class="list-item">
|
| 3268 |
+
<div class="list-num">02</div>
|
| 3269 |
+
<div><strong>Time Embedding:</strong> Tell the model which timestep it's at (sinusoidal encoding)</div>
|
| 3270 |
+
</div>
|
| 3271 |
+
<div class="list-item">
|
| 3272 |
+
<div class="list-num">03</div>
|
| 3273 |
+
<div><strong>CLIP Conditioning:</strong> Guide generation with text embeddings (Stable Diffusion)</div>
|
| 3274 |
+
</div>
|
| 3275 |
+
|
| 3276 |
+
<h3>Latent Diffusion</h3>
|
| 3277 |
+
<p>Instead of diffusing in pixel space (expensive), work in VAE latent space (8Γ smaller).</p>
|
| 3278 |
+
<div class="formula">
|
| 3279 |
+
Image (512Γ512Γ3) β VAE Encoder β Latent (64Γ64Γ4) β Diffuse β Decode
|
| 3280 |
+
</div>
|
| 3281 |
+
`,
|
| 3282 |
+
math: `
|
| 3283 |
+
<h3>Forward Process (Noising)</h3>
|
| 3284 |
+
<p>Add Gaussian noise according to a schedule Ξ²_t:</p>
|
| 3285 |
+
|
| 3286 |
+
<div class="formula">
|
| 3287 |
+
q(x_t | x_{t-1}) = N(x_t; β(1-Ξ²_t) Γ x_{t-1}, Ξ²_t Γ I)<br>
|
| 3288 |
+
<br>
|
| 3289 |
+
Or in closed form for any t:<br>
|
| 3290 |
+
x_t = β(αΎ±_t) Γ x_0 + β(1-αΎ±_t) Γ Ξ΅<br>
|
| 3291 |
+
Where αΎ±_t = Ξ _{s=1}^t (1-Ξ²_s)
|
| 3292 |
+
</div>
|
| 3293 |
+
|
| 3294 |
+
<h3>Training Objective</h3>
|
| 3295 |
+
<p>Simple noise prediction loss:</p>
|
| 3296 |
+
<div class="formula">
|
| 3297 |
+
L = E[||Ξ΅ - Ξ΅_ΞΈ(x_t, t)||Β²]
|
| 3298 |
+
</div>
|
| 3299 |
+
|
| 3300 |
+
<div class="callout insight">
|
| 3301 |
+
<div class="callout-title">π Paper & Pain: Simplified Loss</div>
|
| 3302 |
+
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!
|
| 3303 |
+
</div>
|
| 3304 |
+
`,
|
| 3305 |
applications: `
|
| 3306 |
<div class="info-box">
|
| 3307 |
<div class="box-title">πΌοΈ Text-to-Image</div>
|
|
|
|
| 3404 |
4. Achieves SOTA with minimal data!
|
| 3405 |
</div>
|
| 3406 |
`,
|
| 3407 |
+
concepts: `
|
| 3408 |
+
<h3>BERT Architecture</h3>
|
| 3409 |
+
<div class="list-item">
|
| 3410 |
+
<div class="list-num">01</div>
|
| 3411 |
+
<div><strong>Encoder Only:</strong> 12/24 Transformer encoder layers (BERT-base/large)</div>
|
| 3412 |
+
</div>
|
| 3413 |
+
<div class="list-item">
|
| 3414 |
+
<div class="list-num">02</div>
|
| 3415 |
+
<div><strong>Token Embedding:</strong> WordPiece tokenization (30K vocab)</div>
|
| 3416 |
+
</div>
|
| 3417 |
+
<div class="list-item">
|
| 3418 |
+
<div class="list-num">03</div>
|
| 3419 |
+
<div><strong>Segment Embedding:</strong> Distinguish sentence A from sentence B</div>
|
| 3420 |
+
</div>
|
| 3421 |
+
<div class="list-item">
|
| 3422 |
+
<div class="list-num">04</div>
|
| 3423 |
+
<div><strong>[CLS] Token:</strong> Aggregated representation for classification tasks</div>
|
| 3424 |
+
</div>
|
| 3425 |
+
|
| 3426 |
+
<h3>Model Sizes</h3>
|
| 3427 |
+
<table>
|
| 3428 |
+
<tr><th>Model</th><th>Layers</th><th>Hidden</th><th>Params</th></tr>
|
| 3429 |
+
<tr><td>BERT-base</td><td>12</td><td>768</td><td>110M</td></tr>
|
| 3430 |
+
<tr><td>BERT-large</td><td>24</td><td>1024</td><td>340M</td></tr>
|
| 3431 |
+
</table>
|
| 3432 |
+
`,
|
| 3433 |
+
math: `
|
| 3434 |
+
<h3>Masked Language Modeling (MLM)</h3>
|
| 3435 |
+
<p>BERT's main pre-training objective:</p>
|
| 3436 |
+
|
| 3437 |
+
<div class="formula">
|
| 3438 |
+
L_MLM = -Ξ£ log P(x_masked | x_visible)<br>
|
| 3439 |
+
<br>
|
| 3440 |
+
For each masked token, predict using cross-entropy loss
|
| 3441 |
+
</div>
|
| 3442 |
+
|
| 3443 |
+
<div class="callout insight">
|
| 3444 |
+
<div class="callout-title">π Paper & Pain: Masking Strategy</div>
|
| 3445 |
+
Of the 15% tokens selected for masking:<br>
|
| 3446 |
+
β’ 80% β [MASK] token<br>
|
| 3447 |
+
β’ 10% β Random token<br>
|
| 3448 |
+
β’ 10% β Keep original<br>
|
| 3449 |
+
This prevents over-reliance on [MASK] during fine-tuning!
|
| 3450 |
+
</div>
|
| 3451 |
+
`,
|
| 3452 |
applications: `
|
| 3453 |
<div class="info-box">
|
| 3454 |
<div class="box-title">π Search & QA</div>
|
|
|
|
| 3511 |
β’ Multi-step problem solving
|
| 3512 |
</div>
|
| 3513 |
`,
|
| 3514 |
+
concepts: `
|
| 3515 |
+
<h3>GPT Architecture</h3>
|
| 3516 |
+
<div class="list-item">
|
| 3517 |
+
<div class="list-num">01</div>
|
| 3518 |
+
<div><strong>Decoder Only:</strong> Uses causal (masked) attention - can only see past tokens</div>
|
| 3519 |
+
</div>
|
| 3520 |
+
<div class="list-item">
|
| 3521 |
+
<div class="list-num">02</div>
|
| 3522 |
+
<div><strong>Autoregressive:</strong> Generate one token at a time, feed back as input</div>
|
| 3523 |
+
</div>
|
| 3524 |
+
<div class="list-item">
|
| 3525 |
+
<div class="list-num">03</div>
|
| 3526 |
+
<div><strong>Pre-training:</strong> Next token prediction on massive text corpus</div>
|
| 3527 |
+
</div>
|
| 3528 |
+
<div class="list-item">
|
| 3529 |
+
<div class="list-num">04</div>
|
| 3530 |
+
<div><strong>RLHF:</strong> Reinforcement Learning from Human Feedback (ChatGPT)</div>
|
| 3531 |
+
</div>
|
| 3532 |
+
|
| 3533 |
+
<h3>In-Context Learning</h3>
|
| 3534 |
+
<p>GPT-3+ can learn from examples in the prompt without updating weights!</p>
|
| 3535 |
+
<div class="formula">
|
| 3536 |
+
Zero-shot: "Translate to French: Hello" β "Bonjour"<br>
|
| 3537 |
+
Few-shot: "catβchat, dogβchien, houseβ?" β "maison"
|
| 3538 |
+
</div>
|
| 3539 |
+
`,
|
| 3540 |
+
math: `
|
| 3541 |
+
<h3>Causal Language Modeling</h3>
|
| 3542 |
+
<p>GPT is trained to maximize the likelihood of the next token:</p>
|
| 3543 |
+
|
| 3544 |
+
<div class="formula">
|
| 3545 |
+
L = -Ξ£ log P(x_t | x_{<t})<br>
|
| 3546 |
+
<br>
|
| 3547 |
+
Where P(x_t | x_{<t}) = softmax(h_t Γ W_vocab)
|
| 3548 |
+
</div>
|
| 3549 |
+
|
| 3550 |
+
<div class="callout insight">
|
| 3551 |
+
<div class="callout-title">π Paper & Pain: Scaling Laws</div>
|
| 3552 |
+
Performance scales predictably with compute, data, and parameters:<br>
|
| 3553 |
+
L β N^(-0.076) for model size N<br>
|
| 3554 |
+
This is why OpenAI trained GPT-3 (175B) and GPT-4 (1.8T)!
|
| 3555 |
+
</div>
|
| 3556 |
+
`,
|
| 3557 |
applications: `
|
| 3558 |
<div class="info-box">
|
| 3559 |
<div class="box-title">π¬ ChatGPT & Assistants</div>
|
|
|
|
| 3602 |
β’ <strong>Transfer Learning:</strong> Pre-trained ViT beats CNNs on many tasks<br>
|
| 3603 |
β’ <strong>Long-Range Dependencies:</strong> Global attention vs CNN's local receptive field
|
| 3604 |
</div>
|
| 3605 |
+
`,
|
| 3606 |
+
concepts: `
|
| 3607 |
+
<h3>ViT vs CNN Comparison</h3>
|
| 3608 |
+
<table>
|
| 3609 |
+
<tr><th>Aspect</th><th>CNN</th><th>ViT</th></tr>
|
| 3610 |
+
<tr><td>Inductive Bias</td><td>Locality, translation invariance</td><td>Minimal - learns from data</td></tr>
|
| 3611 |
+
<tr><td>Data Efficiency</td><td>Better with small datasets</td><td>Needs large datasets</td></tr>
|
| 3612 |
+
<tr><td>Receptive Field</td><td>Local (grows with depth)</td><td>Global from layer 1</td></tr>
|
| 3613 |
+
<tr><td>Scalability</td><td>Diminishing returns</td><td>Scales well with compute</td></tr>
|
| 3614 |
+
</table>
|
| 3615 |
+
|
| 3616 |
+
<h3>Key Innovations</h3>
|
| 3617 |
+
<div class="list-item">
|
| 3618 |
+
<div class="list-num">01</div>
|
| 3619 |
+
<div><strong>No Convolutions:</strong> Pure attention - "An Image is Worth 16x16 Words"</div>
|
| 3620 |
+
</div>
|
| 3621 |
+
<div class="list-item">
|
| 3622 |
+
<div class="list-num">02</div>
|
| 3623 |
+
<div><strong>Learnable Position:</strong> Position embeddings are learned, not sinusoidal</div>
|
| 3624 |
+
</div>
|
| 3625 |
+
`,
|
| 3626 |
+
math: `
|
| 3627 |
+
<h3>Patch Embedding</h3>
|
| 3628 |
+
<p>Convert image patches to token embeddings:</p>
|
| 3629 |
+
|
| 3630 |
+
<div class="formula">
|
| 3631 |
+
z_0 = [x_cls; x_p^1 E; x_p^2 E; ...; x_p^N E] + E_pos<br>
|
| 3632 |
+
<br>
|
| 3633 |
+
Where:<br>
|
| 3634 |
+
β’ x_p^i = flattened patch (16Γ16Γ3 = 768 dimensions)<br>
|
| 3635 |
+
β’ E = learnable linear projection<br>
|
| 3636 |
+
β’ E_pos = position embedding
|
| 3637 |
+
</div>
|
| 3638 |
+
|
| 3639 |
+
<div class="callout insight">
|
| 3640 |
+
<div class="callout-title">π Paper & Pain: Computation</div>
|
| 3641 |
+
ViT-Base: 12 layers, 768 hidden, 12 heads ~ 86M params<br>
|
| 3642 |
+
Self-attention cost: O(nΒ²Β·d) where n=196 patches<br>
|
| 3643 |
+
This is why ViT is efficient for images (196 tokens) vs text (1000+ tokens)
|
| 3644 |
+
</div>
|
| 3645 |
+
`,
|
| 3646 |
+
applications: `
|
| 3647 |
+
<div class="info-box">
|
| 3648 |
+
<div class="box-title">πΌοΈ Image Classification</div>
|
| 3649 |
+
<div class="box-content">SOTA on ImageNet with pre-training. Google/DeepMind use for internal systems.</div>
|
| 3650 |
+
</div>
|
| 3651 |
+
<div class="info-box">
|
| 3652 |
+
<div class="box-title">π Object Detection</div>
|
| 3653 |
+
<div class="box-content">DETR, DINO - Transformer-based detection replacing Faster R-CNN</div>
|
| 3654 |
+
</div>
|
| 3655 |
+
<div class="info-box">
|
| 3656 |
+
<div class="box-title">π¬ Video Understanding</div>
|
| 3657 |
+
<div class="box-content">VideoViT, TimeSformer - extend patches to 3D (space + time)</div>
|
| 3658 |
+
</div>
|
| 3659 |
+
`
|
| 3660 |
+
},
|
| 3661 |
+
"gnn": {
|
| 3662 |
+
overview: `
|
| 3663 |
+
<h3>Graph Neural Networks (GNNs)</h3>
|
| 3664 |
+
<p>Deep learning on non-Euclidean data structures like social networks, molecules, and knowledge graphs.</p>
|
| 3665 |
+
|
| 3666 |
+
<h3>Key Concepts</h3>
|
| 3667 |
+
<div class="list-item">
|
| 3668 |
+
<div class="list-num">01</div>
|
| 3669 |
+
<div><strong>Graph Structure:</strong> Nodes (entities) and Edges (relationships).</div>
|
| 3670 |
+
</div>
|
| 3671 |
+
<div class="list-item">
|
| 3672 |
+
<div class="list-num">02</div>
|
| 3673 |
+
<div><strong>Message Passing:</strong> Nodes exchange information with neighbors.</div>
|
| 3674 |
+
</div>
|
| 3675 |
+
<div class="list-item">
|
| 3676 |
+
<div class="list-num">03</div>
|
| 3677 |
+
<div><strong>Aggregation:</strong> Combine incoming messages (Sum, Mean, Max).</div>
|
| 3678 |
+
</div>
|
| 3679 |
+
|
| 3680 |
+
<div class="callout tip">
|
| 3681 |
+
<div class="callout-title">π‘ Why GNNs?</div>
|
| 3682 |
+
Standard CNNs expect a fixed grid (euclidean). Graphs have arbitrary size and topology. GNNs are permutation invariant!
|
| 3683 |
+
</div>
|
| 3684 |
+
`,
|
| 3685 |
+
concepts: `
|
| 3686 |
+
<h3>Message Passing Neural Networks (MPNN)</h3>
|
| 3687 |
+
<p>The core framework for most GNNs.</p>
|
| 3688 |
+
|
| 3689 |
+
<div class="list-item">
|
| 3690 |
+
<div class="list-num">1</div>
|
| 3691 |
+
<div><strong>Message Function:</strong> Compute message from neighbor to node.</div>
|
| 3692 |
+
</div>
|
| 3693 |
+
<div class="list-item">
|
| 3694 |
+
<div class="list-num">2</div>
|
| 3695 |
+
<div><strong>Aggregation Function:</strong> Sum all messages from neighbors.</div>
|
| 3696 |
+
</div>
|
| 3697 |
+
<div class="list-item">
|
| 3698 |
+
<div class="list-num">3</div>
|
| 3699 |
+
<div><strong>Update Function:</strong> Update node state based on aggregated messages.</div>
|
| 3700 |
+
</div>
|
| 3701 |
+
`,
|
| 3702 |
+
math: `
|
| 3703 |
+
<h3>Graph Convolution Network (GCN)</h3>
|
| 3704 |
+
<p>The "Hello World" of GNNs (Kipf & Welling, 2017).</p>
|
| 3705 |
+
|
| 3706 |
+
<div class="formula">
|
| 3707 |
+
H^{(l+1)} = Ο(D^{-1/2} A D^{-1/2} H^{(l)} W^{(l)})
|
| 3708 |
+
</div>
|
| 3709 |
+
|
| 3710 |
+
<p>Where:</p>
|
| 3711 |
+
<ul>
|
| 3712 |
+
<li><strong>A:</strong> Adjacency Matrix (connections)</li>
|
| 3713 |
+
<li><strong>D:</strong> Degree Matrix (number of connections)</li>
|
| 3714 |
+
<li><strong>H:</strong> Node Features</li>
|
| 3715 |
+
<li><strong>W:</strong> Learnable Weights</li>
|
| 3716 |
+
</ul>
|
| 3717 |
+
|
| 3718 |
+
<div class="callout warning">
|
| 3719 |
+
<div class="callout-title">β οΈ Over-smoothing</div>
|
| 3720 |
+
If GNN is too deep, all node representations become indistinguishable. Usually 2-4 layers are enough.
|
| 3721 |
+
</div>
|
| 3722 |
+
`,
|
| 3723 |
+
applications: `
|
| 3724 |
+
<div class="info-box">
|
| 3725 |
+
<div class="box-title">π Drug Discovery</div>
|
| 3726 |
+
<div class="box-content">Predicting molecular properties, protein folding (AlphaFold)</div>
|
| 3727 |
+
</div>
|
| 3728 |
+
<div class="info-box">
|
| 3729 |
+
<div class="box-title">π Traffic Prediction</div>
|
| 3730 |
+
<div class="box-content">Road networks, estimating travel times (Google Maps)</div>
|
| 3731 |
+
</div>
|
| 3732 |
+
<div class="info-box">
|
| 3733 |
+
<div class="box-title">π Recommender Systems</div>
|
| 3734 |
+
<div class="box-content">Pinterest (PinSage), User-Item graphs</div>
|
| 3735 |
+
</div>
|
| 3736 |
`
|
| 3737 |
}
|
| 3738 |
};
|
|
|
|
| 3951 |
'transformers': drawAttentionMatrix,
|
| 3952 |
'bert': drawBERTProcess,
|
| 3953 |
'gpt': drawGPTGeneration,
|
| 3954 |
+
'vit': drawVisionTransformer,
|
| 3955 |
+
'gnn': drawGraphNetwork
|
| 3956 |
};
|
| 3957 |
|
| 3958 |
if (vizMap[moduleId]) {
|
|
|
|
| 4322 |
'pooling': () => drawPoolingMath(ctx, canvas),
|
| 4323 |
'regularization': () => drawRegularizationMath(ctx, canvas),
|
| 4324 |
'transformers': () => drawAttentionMath(ctx, canvas),
|
| 4325 |
+
'rnn': () => drawRNNMath(ctx, canvas),
|
| 4326 |
+
'gnn': () => drawGNNMath(ctx, canvas)
|
| 4327 |
};
|
| 4328 |
|
| 4329 |
if (mathVizMap[moduleId]) {
|
|
|
|
| 4355 |
'bert': () => drawBERTApplications(ctx, canvas),
|
| 4356 |
'gpt': () => drawGPTApplications(ctx, canvas),
|
| 4357 |
'gans': () => drawGANApplications(ctx, canvas),
|
| 4358 |
+
'diffusion': () => drawDiffusionApplications(ctx, canvas),
|
| 4359 |
+
'gnn': () => drawGNNApplications(ctx, canvas)
|
| 4360 |
};
|
| 4361 |
|
| 4362 |
if (appVizMap[moduleId]) {
|
|
|
|
| 5063 |
}
|
| 5064 |
|
| 5065 |
// Animation and download utilities
|
| 5066 |
+
let animationFrameId = null;
|
| 5067 |
+
|
| 5068 |
function toggleVizAnimation(moduleId) {
|
| 5069 |
+
const btn = event.target;
|
| 5070 |
window.vizAnimating = !window.vizAnimating;
|
| 5071 |
+
|
| 5072 |
if (window.vizAnimating) {
|
| 5073 |
+
btn.textContent = 'βΉοΈ Stop';
|
| 5074 |
+
btn.style.background = 'linear-gradient(135deg, #ff4444, #cc0000)';
|
| 5075 |
animateVisualization(moduleId);
|
| 5076 |
+
} else {
|
| 5077 |
+
btn.textContent = 'βΆοΈ Animate';
|
| 5078 |
+
btn.style.background = '';
|
| 5079 |
+
if (animationFrameId) {
|
| 5080 |
+
cancelAnimationFrame(animationFrameId);
|
| 5081 |
+
animationFrameId = null;
|
| 5082 |
+
}
|
| 5083 |
}
|
| 5084 |
}
|
| 5085 |
|
| 5086 |
function animateVisualization(moduleId) {
|
| 5087 |
if (!window.vizAnimating) return;
|
| 5088 |
+
|
| 5089 |
+
const canvas = document.getElementById(moduleId + '-canvas');
|
| 5090 |
+
if (!canvas) return;
|
| 5091 |
+
|
| 5092 |
+
const ctx = canvas.getContext('2d');
|
| 5093 |
+
ctx.clearRect(0, 0, canvas.width, canvas.height);
|
| 5094 |
+
ctx.fillStyle = '#0f1419';
|
| 5095 |
+
ctx.fillRect(0, 0, canvas.width, canvas.height);
|
| 5096 |
+
|
| 5097 |
+
// Call the appropriate animated drawing function
|
| 5098 |
+
const animatedVizMap = {
|
| 5099 |
+
'nn-basics': drawAnimatedNetwork,
|
| 5100 |
+
'perceptron': drawAnimatedDecisionBoundary,
|
| 5101 |
+
'mlp': drawAnimatedMLP,
|
| 5102 |
+
'activation': drawAnimatedActivations,
|
| 5103 |
+
'conv-layer': drawAnimatedConvolution,
|
| 5104 |
+
'gnn': drawAnimatedGNN,
|
| 5105 |
+
'transformers': drawAnimatedAttention,
|
| 5106 |
+
'backprop': drawAnimatedGradientFlow,
|
| 5107 |
+
'gans': drawAnimatedGAN,
|
| 5108 |
+
'diffusion': drawAnimatedDiffusion,
|
| 5109 |
+
'rnn': drawAnimatedRNN
|
| 5110 |
+
};
|
| 5111 |
+
|
| 5112 |
+
if (animatedVizMap[moduleId]) {
|
| 5113 |
+
animatedVizMap[moduleId](ctx, canvas, Date.now());
|
| 5114 |
+
} else {
|
| 5115 |
+
// Default animation - pulsing visualization
|
| 5116 |
+
drawDefaultAnimation(ctx, canvas, Date.now());
|
| 5117 |
+
}
|
| 5118 |
+
|
| 5119 |
+
animationFrameId = requestAnimationFrame(() => animateVisualization(moduleId));
|
| 5120 |
+
}
|
| 5121 |
+
|
| 5122 |
+
// Default animation for modules without specific animations
|
| 5123 |
+
function drawDefaultAnimation(ctx, canvas, time) {
|
| 5124 |
+
const centerX = canvas.width / 2;
|
| 5125 |
+
const centerY = canvas.height / 2;
|
| 5126 |
+
const pulse = Math.sin(time / 300) * 0.3 + 0.7;
|
| 5127 |
+
|
| 5128 |
+
// Animated neural network
|
| 5129 |
+
const layers = [3, 4, 4, 2];
|
| 5130 |
+
const layerWidth = canvas.width / (layers.length + 1);
|
| 5131 |
+
|
| 5132 |
+
layers.forEach((neurons, layerIdx) => {
|
| 5133 |
+
const x = (layerIdx + 1) * layerWidth;
|
| 5134 |
+
const layerHeight = canvas.height / (neurons + 1);
|
| 5135 |
+
|
| 5136 |
+
for (let i = 0; i < neurons; i++) {
|
| 5137 |
+
const y = (i + 1) * layerHeight;
|
| 5138 |
+
const radius = 12 + Math.sin(time / 200 + layerIdx + i) * 3;
|
| 5139 |
+
|
| 5140 |
+
// Draw neuron
|
| 5141 |
+
ctx.fillStyle = `rgba(0, 212, 255, ${pulse})`;
|
| 5142 |
+
ctx.beginPath();
|
| 5143 |
+
ctx.arc(x, y, radius, 0, Math.PI * 2);
|
| 5144 |
+
ctx.fill();
|
| 5145 |
+
|
| 5146 |
+
// Draw connections to next layer
|
| 5147 |
+
if (layerIdx < layers.length - 1) {
|
| 5148 |
+
const nextLayerHeight = canvas.height / (layers[layerIdx + 1] + 1);
|
| 5149 |
+
const nextX = (layerIdx + 2) * layerWidth;
|
| 5150 |
+
|
| 5151 |
+
for (let j = 0; j < layers[layerIdx + 1]; j++) {
|
| 5152 |
+
const nextY = (j + 1) * nextLayerHeight;
|
| 5153 |
+
const signalProgress = ((time / 500) + layerIdx * 0.5) % 1;
|
| 5154 |
+
|
| 5155 |
+
ctx.strokeStyle = `rgba(0, 212, 255, ${0.3 + signalProgress * 0.3})`;
|
| 5156 |
+
ctx.lineWidth = 1;
|
| 5157 |
+
ctx.beginPath();
|
| 5158 |
+
ctx.moveTo(x + radius, y);
|
| 5159 |
+
ctx.lineTo(nextX - 12, nextY);
|
| 5160 |
+
ctx.stroke();
|
| 5161 |
+
|
| 5162 |
+
// Animated signal dot
|
| 5163 |
+
const dotX = x + radius + (nextX - 12 - x - radius) * signalProgress;
|
| 5164 |
+
const dotY = y + (nextY - y) * signalProgress;
|
| 5165 |
+
ctx.fillStyle = '#00ff88';
|
| 5166 |
+
ctx.beginPath();
|
| 5167 |
+
ctx.arc(dotX, dotY, 3, 0, Math.PI * 2);
|
| 5168 |
+
ctx.fill();
|
| 5169 |
+
}
|
| 5170 |
+
}
|
| 5171 |
+
}
|
| 5172 |
+
});
|
| 5173 |
+
|
| 5174 |
+
ctx.fillStyle = '#00d4ff';
|
| 5175 |
+
ctx.font = 'bold 14px Arial';
|
| 5176 |
+
ctx.textAlign = 'center';
|
| 5177 |
+
ctx.fillText('π Neural Network Animation', centerX, 25);
|
| 5178 |
+
}
|
| 5179 |
+
|
| 5180 |
+
// Animated GNN with message passing
|
| 5181 |
+
function drawAnimatedGNN(ctx, canvas, time) {
|
| 5182 |
+
ctx.fillStyle = '#9900ff';
|
| 5183 |
+
ctx.font = 'bold 16px Arial';
|
| 5184 |
+
ctx.textAlign = 'center';
|
| 5185 |
+
ctx.fillText('Graph Neural Network - Message Passing', canvas.width / 2, 30);
|
| 5186 |
+
|
| 5187 |
+
const nodes = [
|
| 5188 |
+
{ x: 100, y: 100 }, { x: 200, y: 60 }, { x: 320, y: 120 },
|
| 5189 |
+
{ x: 150, y: 200 }, { x: 400, y: 80 }, { x: 450, y: 180 }
|
| 5190 |
+
];
|
| 5191 |
+
const edges = [[0, 1], [0, 3], [1, 2], [1, 4], [2, 3], [2, 4], [4, 5]];
|
| 5192 |
+
|
| 5193 |
+
// Draw edges
|
| 5194 |
+
ctx.strokeStyle = 'rgba(153, 0, 255, 0.4)';
|
| 5195 |
+
ctx.lineWidth = 2;
|
| 5196 |
+
edges.forEach(e => {
|
| 5197 |
+
ctx.beginPath();
|
| 5198 |
+
ctx.moveTo(nodes[e[0]].x, nodes[e[0]].y);
|
| 5199 |
+
ctx.lineTo(nodes[e[1]].x, nodes[e[1]].y);
|
| 5200 |
+
ctx.stroke();
|
| 5201 |
+
});
|
| 5202 |
+
|
| 5203 |
+
// Draw animated message passing
|
| 5204 |
+
const messageProgress = (time / 1000) % 1;
|
| 5205 |
+
ctx.fillStyle = '#00ff88';
|
| 5206 |
+
edges.forEach((e, idx) => {
|
| 5207 |
+
const progress = (messageProgress + idx * 0.15) % 1;
|
| 5208 |
+
const x = nodes[e[0]].x + (nodes[e[1]].x - nodes[e[0]].x) * progress;
|
| 5209 |
+
const y = nodes[e[0]].y + (nodes[e[1]].y - nodes[e[0]].y) * progress;
|
| 5210 |
+
ctx.beginPath();
|
| 5211 |
+
ctx.arc(x, y, 5, 0, Math.PI * 2);
|
| 5212 |
+
ctx.fill();
|
| 5213 |
+
});
|
| 5214 |
+
|
| 5215 |
+
// Draw nodes with pulse
|
| 5216 |
+
const pulse = Math.sin(time / 300) * 5 + 15;
|
| 5217 |
+
nodes.forEach((n, i) => {
|
| 5218 |
+
ctx.fillStyle = '#9900ff';
|
| 5219 |
+
ctx.beginPath();
|
| 5220 |
+
ctx.arc(n.x, n.y, pulse, 0, Math.PI * 2);
|
| 5221 |
+
ctx.fill();
|
| 5222 |
+
ctx.fillStyle = 'white';
|
| 5223 |
+
ctx.font = '12px Arial';
|
| 5224 |
+
ctx.textAlign = 'center';
|
| 5225 |
+
ctx.fillText(i, n.x, n.y + 4);
|
| 5226 |
+
});
|
| 5227 |
+
}
|
| 5228 |
+
|
| 5229 |
+
// Animated attention matrix
|
| 5230 |
+
function drawAnimatedAttention(ctx, canvas, time) {
|
| 5231 |
+
const words = ['The', 'cat', 'sat', 'on', 'mat'];
|
| 5232 |
+
const cellSize = 50;
|
| 5233 |
+
const startX = (canvas.width - words.length * cellSize) / 2;
|
| 5234 |
+
const startY = 80;
|
| 5235 |
+
|
| 5236 |
+
ctx.fillStyle = '#00d4ff';
|
| 5237 |
+
ctx.font = 'bold 16px Arial';
|
| 5238 |
+
ctx.textAlign = 'center';
|
| 5239 |
+
ctx.fillText('Self-Attention Animation', canvas.width / 2, 30);
|
| 5240 |
+
|
| 5241 |
+
// Draw words
|
| 5242 |
+
ctx.font = '12px Arial';
|
| 5243 |
+
words.forEach((word, i) => {
|
| 5244 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5245 |
+
ctx.fillText(word, startX + i * cellSize + cellSize/2, startY - 10);
|
| 5246 |
+
ctx.save();
|
| 5247 |
+
ctx.translate(startX - 20, startY + i * cellSize + cellSize/2);
|
| 5248 |
+
ctx.fillText(word, 0, 0);
|
| 5249 |
+
ctx.restore();
|
| 5250 |
+
});
|
| 5251 |
+
|
| 5252 |
+
// Animated attention weights
|
| 5253 |
+
for (let i = 0; i < words.length; i++) {
|
| 5254 |
+
for (let j = 0; j < words.length; j++) {
|
| 5255 |
+
const baseWeight = i === j ? 0.8 : 0.2 + Math.abs(i - j) * 0.1;
|
| 5256 |
+
const animatedWeight = baseWeight + Math.sin(time / 500 + i + j) * 0.2;
|
| 5257 |
+
const alpha = Math.max(0.1, Math.min(1, animatedWeight));
|
| 5258 |
+
|
| 5259 |
+
ctx.fillStyle = `rgba(0, 212, 255, ${alpha})`;
|
| 5260 |
+
ctx.fillRect(startX + j * cellSize + 2, startY + i * cellSize + 2, cellSize - 4, cellSize - 4);
|
| 5261 |
+
|
| 5262 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5263 |
+
ctx.font = '10px Arial';
|
| 5264 |
+
ctx.fillText(animatedWeight.toFixed(2), startX + j * cellSize + cellSize/2, startY + i * cellSize + cellSize/2 + 4);
|
| 5265 |
+
}
|
| 5266 |
+
}
|
| 5267 |
+
}
|
| 5268 |
+
|
| 5269 |
+
// Animated gradient flow for backprop
|
| 5270 |
+
function drawAnimatedGradientFlow(ctx, canvas, time) {
|
| 5271 |
+
ctx.fillStyle = '#ff6b35';
|
| 5272 |
+
ctx.font = 'bold 16px Arial';
|
| 5273 |
+
ctx.textAlign = 'center';
|
| 5274 |
+
ctx.fillText('Backpropagation - Gradient Flow', canvas.width / 2, 30);
|
| 5275 |
+
|
| 5276 |
+
const layers = [2, 4, 4, 1];
|
| 5277 |
+
const layerWidth = canvas.width / (layers.length + 1);
|
| 5278 |
+
|
| 5279 |
+
// Forward pass (left to right) - blue
|
| 5280 |
+
const forwardProgress = (time / 2000) % 1;
|
| 5281 |
+
|
| 5282 |
+
layers.forEach((neurons, layerIdx) => {
|
| 5283 |
+
const x = (layerIdx + 1) * layerWidth;
|
| 5284 |
+
const layerHeight = canvas.height / (neurons + 1);
|
| 5285 |
+
|
| 5286 |
+
for (let i = 0; i < neurons; i++) {
|
| 5287 |
+
const y = (i + 1) * layerHeight;
|
| 5288 |
+
|
| 5289 |
+
// Pulse effect based on forward pass
|
| 5290 |
+
const isActive = forwardProgress > layerIdx / layers.length;
|
| 5291 |
+
const radius = isActive ? 15 + Math.sin(time / 200) * 3 : 12;
|
| 5292 |
+
|
| 5293 |
+
ctx.fillStyle = isActive ? '#00d4ff' : 'rgba(0, 212, 255, 0.3)';
|
| 5294 |
+
ctx.beginPath();
|
| 5295 |
+
ctx.arc(x, y, radius, 0, Math.PI * 2);
|
| 5296 |
+
ctx.fill();
|
| 5297 |
+
}
|
| 5298 |
+
});
|
| 5299 |
+
|
| 5300 |
+
// Backward pass (right to left) - orange/red gradients
|
| 5301 |
+
const backwardProgress = ((time / 2000) + 0.5) % 1;
|
| 5302 |
+
|
| 5303 |
+
for (let layerIdx = layers.length - 2; layerIdx >= 0; layerIdx--) {
|
| 5304 |
+
const x1 = (layerIdx + 1) * layerWidth;
|
| 5305 |
+
const x2 = (layerIdx + 2) * layerWidth;
|
| 5306 |
+
const gradientActive = backwardProgress > (layers.length - 2 - layerIdx) / (layers.length - 1);
|
| 5307 |
+
|
| 5308 |
+
if (gradientActive) {
|
| 5309 |
+
const gradX = x2 - (x2 - x1) * ((backwardProgress * (layers.length - 1)) % 1);
|
| 5310 |
+
ctx.fillStyle = '#ff6b35';
|
| 5311 |
+
ctx.beginPath();
|
| 5312 |
+
ctx.arc(gradX, canvas.height / 2, 8, 0, Math.PI * 2);
|
| 5313 |
+
ctx.fill();
|
| 5314 |
+
}
|
| 5315 |
+
}
|
| 5316 |
+
|
| 5317 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5318 |
+
ctx.font = '12px Arial';
|
| 5319 |
+
ctx.fillText('Forward: Blue β | Backward: Orange β', canvas.width / 2, canvas.height - 20);
|
| 5320 |
+
}
|
| 5321 |
+
|
| 5322 |
+
// Animated network for nn-basics
|
| 5323 |
+
function drawAnimatedNetwork(ctx, canvas, time) {
|
| 5324 |
+
drawDefaultAnimation(ctx, canvas, time);
|
| 5325 |
+
}
|
| 5326 |
+
|
| 5327 |
+
// Animated decision boundary for perceptron
|
| 5328 |
+
function drawAnimatedDecisionBoundary(ctx, canvas, time) {
|
| 5329 |
+
const centerX = canvas.width / 2;
|
| 5330 |
+
const centerY = canvas.height / 2;
|
| 5331 |
+
|
| 5332 |
+
ctx.fillStyle = '#ff6b35';
|
| 5333 |
+
ctx.font = 'bold 16px Arial';
|
| 5334 |
+
ctx.textAlign = 'center';
|
| 5335 |
+
ctx.fillText('Perceptron Decision Boundary', canvas.width / 2, 30);
|
| 5336 |
+
|
| 5337 |
+
// Animated rotating decision boundary
|
| 5338 |
+
const angle = time / 2000;
|
| 5339 |
+
const length = 200;
|
| 5340 |
+
|
| 5341 |
+
ctx.strokeStyle = '#ff6b35';
|
| 5342 |
+
ctx.lineWidth = 3;
|
| 5343 |
+
ctx.beginPath();
|
| 5344 |
+
ctx.moveTo(centerX - Math.cos(angle) * length, centerY - Math.sin(angle) * length);
|
| 5345 |
+
ctx.lineTo(centerX + Math.cos(angle) * length, centerY + Math.sin(angle) * length);
|
| 5346 |
+
ctx.stroke();
|
| 5347 |
+
|
| 5348 |
+
// Fixed sample points
|
| 5349 |
+
const points = [
|
| 5350 |
+
{x: 100, y: 80, c: 1}, {x: 150, y: 100, c: 1}, {x: 120, y: 150, c: 1},
|
| 5351 |
+
{x: 400, y: 200, c: 0}, {x: 450, y: 180, c: 0}, {x: 380, y: 250, c: 0}
|
| 5352 |
+
];
|
| 5353 |
+
|
| 5354 |
+
points.forEach(p => {
|
| 5355 |
+
ctx.fillStyle = p.c === 1 ? '#00d4ff' : '#00ff88';
|
| 5356 |
+
ctx.beginPath();
|
| 5357 |
+
ctx.arc(p.x, p.y, 8, 0, Math.PI * 2);
|
| 5358 |
+
ctx.fill();
|
| 5359 |
+
});
|
| 5360 |
+
}
|
| 5361 |
+
|
| 5362 |
+
function drawAnimatedMLP(ctx, canvas, time) {
|
| 5363 |
+
drawDefaultAnimation(ctx, canvas, time);
|
| 5364 |
+
}
|
| 5365 |
+
|
| 5366 |
+
function drawAnimatedActivations(ctx, canvas, time) {
|
| 5367 |
+
drawActivationFunctions(ctx, canvas);
|
| 5368 |
+
|
| 5369 |
+
// Add animated input marker
|
| 5370 |
+
const x = Math.sin(time / 500) * 4;
|
| 5371 |
+
const centerX = canvas.width / 2;
|
| 5372 |
+
const centerY = canvas.height / 2;
|
| 5373 |
+
const scale = 40;
|
| 5374 |
+
|
| 5375 |
+
ctx.fillStyle = '#ffffff';
|
| 5376 |
+
ctx.beginPath();
|
| 5377 |
+
ctx.arc(centerX + x * scale, centerY, 6, 0, Math.PI * 2);
|
| 5378 |
+
ctx.fill();
|
| 5379 |
+
|
| 5380 |
+
ctx.strokeStyle = '#ffffff';
|
| 5381 |
+
ctx.setLineDash([5, 5]);
|
| 5382 |
+
ctx.beginPath();
|
| 5383 |
+
ctx.moveTo(centerX + x * scale, 0);
|
| 5384 |
+
ctx.lineTo(centerX + x * scale, canvas.height);
|
| 5385 |
+
ctx.stroke();
|
| 5386 |
+
ctx.setLineDash([]);
|
| 5387 |
+
}
|
| 5388 |
+
|
| 5389 |
+
function drawAnimatedConvolution(ctx, canvas, time) {
|
| 5390 |
+
drawConvolutionAnimation(ctx, canvas);
|
| 5391 |
+
}
|
| 5392 |
+
|
| 5393 |
+
function drawAnimatedGAN(ctx, canvas, time) {
|
| 5394 |
+
ctx.fillStyle = '#ffaa00';
|
| 5395 |
+
ctx.font = 'bold 16px Arial';
|
| 5396 |
+
ctx.textAlign = 'center';
|
| 5397 |
+
ctx.fillText('GAN Training Animation', canvas.width / 2, 30);
|
| 5398 |
+
|
| 5399 |
+
const phase = Math.floor(time / 1000) % 4;
|
| 5400 |
+
|
| 5401 |
+
// Generator
|
| 5402 |
+
ctx.fillStyle = phase <= 1 ? '#00ff88' : 'rgba(0, 255, 136, 0.3)';
|
| 5403 |
+
ctx.fillRect(50, 100, 100, 80);
|
| 5404 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5405 |
+
ctx.font = '12px Arial';
|
| 5406 |
+
ctx.fillText('Generator', 100, 145);
|
| 5407 |
+
|
| 5408 |
+
// Fake image
|
| 5409 |
+
const noiseToFake = Math.sin(time / 300) * 0.5 + 0.5;
|
| 5410 |
+
ctx.fillStyle = `rgba(255, 170, 0, ${noiseToFake})`;
|
| 5411 |
+
ctx.fillRect(200, 110, 60, 60);
|
| 5412 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5413 |
+
ctx.fillText('Fake', 230, 200);
|
| 5414 |
+
|
| 5415 |
+
// Discriminator
|
| 5416 |
+
ctx.fillStyle = phase >= 2 ? '#ff6b35' : 'rgba(255, 107, 53, 0.3)';
|
| 5417 |
+
ctx.fillRect(320, 100, 100, 80);
|
| 5418 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5419 |
+
ctx.fillText('Discriminator', 370, 145);
|
| 5420 |
+
|
| 5421 |
+
// Output
|
| 5422 |
+
const output = phase === 3 ? 'Real?' : 'Fake?';
|
| 5423 |
+
ctx.fillStyle = '#00d4ff';
|
| 5424 |
+
ctx.font = 'bold 14px Arial';
|
| 5425 |
+
ctx.fillText(output, 370, 220);
|
| 5426 |
+
|
| 5427 |
+
// Arrows
|
| 5428 |
+
ctx.strokeStyle = '#e4e6eb';
|
| 5429 |
+
ctx.lineWidth = 2;
|
| 5430 |
+
ctx.beginPath();
|
| 5431 |
+
ctx.moveTo(150, 140);
|
| 5432 |
+
ctx.lineTo(200, 140);
|
| 5433 |
+
ctx.stroke();
|
| 5434 |
+
ctx.beginPath();
|
| 5435 |
+
ctx.moveTo(260, 140);
|
| 5436 |
+
ctx.lineTo(320, 140);
|
| 5437 |
+
ctx.stroke();
|
| 5438 |
+
}
|
| 5439 |
+
|
| 5440 |
+
function drawAnimatedDiffusion(ctx, canvas, time) {
|
| 5441 |
+
ctx.fillStyle = '#9900ff';
|
| 5442 |
+
ctx.font = 'bold 16px Arial';
|
| 5443 |
+
ctx.textAlign = 'center';
|
| 5444 |
+
ctx.fillText('Diffusion Process Animation', canvas.width / 2, 30);
|
| 5445 |
+
|
| 5446 |
+
const steps = 5;
|
| 5447 |
+
const stepWidth = canvas.width / (steps + 1);
|
| 5448 |
+
|
| 5449 |
+
const progress = (time / 3000) % 1;
|
| 5450 |
+
const currentStep = Math.floor(progress * steps);
|
| 5451 |
+
|
| 5452 |
+
for (let i = 0; i < steps; i++) {
|
| 5453 |
+
const x = (i + 1) * stepWidth;
|
| 5454 |
+
const y = 150;
|
| 5455 |
+
const noiseLevel = i / (steps - 1);
|
| 5456 |
+
const isActive = i <= currentStep;
|
| 5457 |
+
|
| 5458 |
+
// Draw square with noise
|
| 5459 |
+
ctx.fillStyle = isActive ? '#9900ff' : 'rgba(153, 0, 255, 0.3)';
|
| 5460 |
+
ctx.fillRect(x - 30, y - 30, 60, 60);
|
| 5461 |
+
|
| 5462 |
+
// Add noise dots
|
| 5463 |
+
if (noiseLevel > 0) {
|
| 5464 |
+
for (let j = 0; j < noiseLevel * 20; j++) {
|
| 5465 |
+
const nx = x - 25 + Math.random() * 50;
|
| 5466 |
+
const ny = y - 25 + Math.random() * 50;
|
| 5467 |
+
ctx.fillStyle = 'rgba(255, 255, 255, 0.5)';
|
| 5468 |
+
ctx.fillRect(nx, ny, 2, 2);
|
| 5469 |
+
}
|
| 5470 |
+
}
|
| 5471 |
+
|
| 5472 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5473 |
+
ctx.font = '10px Arial';
|
| 5474 |
+
ctx.fillText(`t=${i}`, x, y + 50);
|
| 5475 |
+
}
|
| 5476 |
+
|
| 5477 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5478 |
+
ctx.font = '12px Arial';
|
| 5479 |
+
ctx.fillText('Clean β Noisy (Forward) | Noisy β Clean (Reverse)', canvas.width / 2, canvas.height - 20);
|
| 5480 |
+
}
|
| 5481 |
+
|
| 5482 |
+
function drawAnimatedRNN(ctx, canvas, time) {
|
| 5483 |
+
ctx.fillStyle = '#00d4ff';
|
| 5484 |
+
ctx.font = 'bold 16px Arial';
|
| 5485 |
+
ctx.textAlign = 'center';
|
| 5486 |
+
ctx.fillText('RNN Unrolled Through Time', canvas.width / 2, 30);
|
| 5487 |
+
|
| 5488 |
+
const steps = 5;
|
| 5489 |
+
const stepWidth = canvas.width / (steps + 1);
|
| 5490 |
+
const progress = (time / 500) % steps;
|
| 5491 |
+
const activeStep = Math.floor(progress);
|
| 5492 |
+
|
| 5493 |
+
for (let i = 0; i < steps; i++) {
|
| 5494 |
+
const x = (i + 1) * stepWidth;
|
| 5495 |
+
const y = 150;
|
| 5496 |
+
const isActive = i === activeStep;
|
| 5497 |
+
|
| 5498 |
+
// Hidden state
|
| 5499 |
+
ctx.fillStyle = isActive ? '#00d4ff' : 'rgba(0, 212, 255, 0.3)';
|
| 5500 |
+
ctx.beginPath();
|
| 5501 |
+
ctx.arc(x, y, 25, 0, Math.PI * 2);
|
| 5502 |
+
ctx.fill();
|
| 5503 |
+
|
| 5504 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5505 |
+
ctx.font = '10px Arial';
|
| 5506 |
+
ctx.fillText(`h${i}`, x, y + 4);
|
| 5507 |
+
|
| 5508 |
+
// Input arrow
|
| 5509 |
+
ctx.strokeStyle = isActive ? '#00ff88' : 'rgba(0, 255, 136, 0.3)';
|
| 5510 |
+
ctx.lineWidth = 2;
|
| 5511 |
+
ctx.beginPath();
|
| 5512 |
+
ctx.moveTo(x, y + 60);
|
| 5513 |
+
ctx.lineTo(x, y + 25);
|
| 5514 |
+
ctx.stroke();
|
| 5515 |
+
ctx.fillText(`x${i}`, x, y + 75);
|
| 5516 |
+
|
| 5517 |
+
// Recurrent connection
|
| 5518 |
+
if (i < steps - 1) {
|
| 5519 |
+
ctx.strokeStyle = isActive ? '#ff6b35' : 'rgba(255, 107, 53, 0.3)';
|
| 5520 |
+
ctx.beginPath();
|
| 5521 |
+
ctx.moveTo(x + 25, y);
|
| 5522 |
+
ctx.lineTo(x + stepWidth - 25, y);
|
| 5523 |
+
ctx.stroke();
|
| 5524 |
+
|
| 5525 |
+
// Animated signal
|
| 5526 |
+
if (isActive) {
|
| 5527 |
+
const signalX = x + 25 + (stepWidth - 50) * (progress % 1);
|
| 5528 |
+
ctx.fillStyle = '#ff6b35';
|
| 5529 |
+
ctx.beginPath();
|
| 5530 |
+
ctx.arc(signalX, y, 5, 0, Math.PI * 2);
|
| 5531 |
+
ctx.fill();
|
| 5532 |
+
}
|
| 5533 |
+
}
|
| 5534 |
+
}
|
| 5535 |
}
|
| 5536 |
|
| 5537 |
function downloadViz(moduleId) {
|
|
|
|
| 5544 |
link.click();
|
| 5545 |
}
|
| 5546 |
|
| 5547 |
+
function drawGraphNetwork(ctx, canvas) {
|
| 5548 |
+
ctx.fillStyle = '#9900ff';
|
| 5549 |
+
ctx.font = 'bold 16px Arial';
|
| 5550 |
+
ctx.textAlign = 'center';
|
| 5551 |
+
ctx.fillText('Graph Structure & Message Passing', canvas.width / 2, 30);
|
| 5552 |
+
|
| 5553 |
+
const nodes = [
|
| 5554 |
+
{ x: 100, y: 100 }, { x: 200, y: 50 }, { x: 300, y: 150 },
|
| 5555 |
+
{ x: 150, y: 250 }, { x: 400, y: 100 }, { x: 500, y: 200 }
|
| 5556 |
+
];
|
| 5557 |
+
const edges = [
|
| 5558 |
+
[0, 1], [0, 3], [1, 2], [1, 4], [2, 3], [2, 4], [4, 5]
|
| 5559 |
+
];
|
| 5560 |
+
|
| 5561 |
+
// Draw edges
|
| 5562 |
+
ctx.strokeStyle = 'rgba(153, 0, 255, 0.4)';
|
| 5563 |
+
ctx.lineWidth = 2;
|
| 5564 |
+
edges.forEach(e => {
|
| 5565 |
+
ctx.beginPath();
|
| 5566 |
+
ctx.moveTo(nodes[e[0]].x, nodes[e[0]].y);
|
| 5567 |
+
ctx.lineTo(nodes[e[1]].x, nodes[e[1]].y);
|
| 5568 |
+
ctx.stroke();
|
| 5569 |
+
});
|
| 5570 |
+
|
| 5571 |
+
// Draw nodes
|
| 5572 |
+
nodes.forEach((n, i) => {
|
| 5573 |
+
ctx.fillStyle = '#9900ff';
|
| 5574 |
+
ctx.beginPath();
|
| 5575 |
+
ctx.arc(n.x, n.y, 15, 0, Math.PI * 2);
|
| 5576 |
+
ctx.fill();
|
| 5577 |
+
ctx.fillStyle = 'white';
|
| 5578 |
+
ctx.font = '12px Arial';
|
| 5579 |
+
ctx.fillText(i, n.x, n.y + 4);
|
| 5580 |
+
});
|
| 5581 |
+
|
| 5582 |
+
// Draw Message Passing Animation (fake)
|
| 5583 |
+
const t = (Date.now() / 1000) % 2;
|
| 5584 |
+
if (t > 1) {
|
| 5585 |
+
ctx.strokeStyle = '#00ff88';
|
| 5586 |
+
ctx.lineWidth = 4;
|
| 5587 |
+
edges.forEach((e, idx) => {
|
| 5588 |
+
if (idx % 2 === 0) {
|
| 5589 |
+
ctx.beginPath();
|
| 5590 |
+
ctx.moveTo(nodes[e[0]].x, nodes[e[0]].y);
|
| 5591 |
+
ctx.lineTo(nodes[e[1]].x, nodes[e[1]].y);
|
| 5592 |
+
ctx.stroke();
|
| 5593 |
+
}
|
| 5594 |
+
});
|
| 5595 |
+
}
|
| 5596 |
+
}
|
| 5597 |
+
|
| 5598 |
+
function drawGNNMath(ctx, canvas) {
|
| 5599 |
+
ctx.fillStyle = '#9900ff';
|
| 5600 |
+
ctx.font = 'bold 16px Arial';
|
| 5601 |
+
ctx.textAlign = 'center';
|
| 5602 |
+
ctx.fillText('Graph Convolution Math', canvas.width / 2, 50);
|
| 5603 |
+
|
| 5604 |
+
ctx.fillStyle = '#e4e6eb';
|
| 5605 |
+
ctx.font = '14px Courier New';
|
| 5606 |
+
ctx.fillText('H(l+1) = Ο(D^-Β½ A D^-Β½ H(l) W(l))', canvas.width / 2, 100);
|
| 5607 |
+
|
| 5608 |
+
ctx.fillStyle = '#00ff88';
|
| 5609 |
+
ctx.fillText('A = Neighborhood Connections', canvas.width / 2, 150);
|
| 5610 |
+
ctx.fillStyle = '#ff6b35';
|
| 5611 |
+
ctx.fillText('D = Normalization Factor', canvas.width / 2, 180);
|
| 5612 |
+
}
|
| 5613 |
+
|
| 5614 |
+
function drawGNNApplications(ctx, canvas) {
|
| 5615 |
+
ctx.fillStyle = '#9900ff';
|
| 5616 |
+
ctx.font = 'bold 16px Arial';
|
| 5617 |
+
ctx.textAlign = 'center';
|
| 5618 |
+
ctx.fillText('π Drug Discovery (Molecular Graphs)', canvas.width / 2, 60);
|
| 5619 |
+
|
| 5620 |
+
ctx.fillStyle = '#00d4ff';
|
| 5621 |
+
ctx.fillText('π Traffic Flow Prediction', canvas.width / 2, 120);
|
| 5622 |
+
|
| 5623 |
+
ctx.fillStyle = '#ff6b35';
|
| 5624 |
+
ctx.fillText('π Pinterest/Amazon Recommendations', canvas.width / 2, 180);
|
| 5625 |
+
}
|
| 5626 |
+
|
| 5627 |
initDashboard();
|
| 5628 |
</script>
|
| 5629 |
</body>
|