text
stringlengths
33
3.74k
category
int64
0
19
__index_level_0__
int64
0
1.81M
input_ids
list
attention_mask
list
cost reduction swapping bond character anisotropic tensor renormalization group bottleneck part anisotropic tensor renormalization chemical substance radical atrg switch chemic bond part consists compression ii tensor fond queer value vector decomposition intercellular substance computational cost maximal adhesiveness dimension dimensionality arrangement propose alternative method swapping bond part plate though total cost atrg method acting remains moreover memory monetary value unhurt algorithmic rule reduced examine atrg without proposed method acting four dimensional ising manikin find free vital force density aim algorithm consistent original atrg slide fourth dimension importantly reduced also liken nominate algorithmic rule eminent order tensor renromalization group hotrg find value detached zip concentration proposed algorithm lowly hotrg cook elapsed time
19
411,834
[ 2, 1103, 1843, 13520, 4197, 649, 3644, 1540, 4349, 657, 4820, 1229, 3644, 1540, 4349, 2531, 13687, 9080, 372, 9940, 4393, 1995, 72, 4197, 1229, 2834, 2985, 1465, 1540, 3748, 39, 40, 5766, 59, 730, 1134, 2246, 19262, 9590, 13687, 1259, 1103, 3321, 16045, 691, 443, 4130, 6096, 537, 2262, 210, 13520, 4197, 1229, 4655, 3087, 1876, 1103, 372, 9940, 210, 5136, 2685, 1415, 1581, 13317, 730, 171, 11624, 7937, 3930, 2046, 2104, 3307, 372, 9940, 973, 459, 210, 5136, 1249, 673, 4308, 398, 3936, 60, 696, 965, 6461, 2058, 784, 1484, 349, 1460, 2167, 372, 9940, 9221, 6445, 443, 5106, 2104, 364, 1079, 39, 4430, 10762, 3930, 2046, 323, 17473, 452, 1540, 2207, 17099, 2117, 1667, 657, 3365, 9940, 696, 730, 15319, 13621, 3280, 459, 349, 485, 97, 3365, 9940, 18024, 19681, 290, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
agnostic dolinar receiving system coherent state classification consider problem discriminating quantum state task distinguish two different quantum state complete classical knowledge problem classifying quantum state task distinguish two class quantum state prior classical information usable finite number strong arm copy division given case quantum state comprise coherent state light identify average scenario fond prior information available evaluate analytical expression minimum error quantum do opposite anterior amplitude sex threshold achieve complex povm involve highly non linear ocular procedure suboptimal procedure follow current technology presented based modification conventional dolinar pas catcher survey compare carrying action dodge different assumption prior information available
13
1,276,578
[ 2, 5239, 14239, 10788, 9913, 214, 2609, 314, 920, 520, 304, 12179, 406, 314, 546, 3152, 312, 467, 406, 314, 1878, 1070, 1179, 304, 5861, 406, 314, 546, 3152, 312, 463, 406, 314, 1388, 1070, 545, 12347, 834, 486, 788, 3528, 5572, 6180, 812, 516, 406, 314, 11597, 2609, 314, 1003, 1678, 1611, 1296, 3748, 39, 40, 1388, 545, 1192, 1802, 2428, 2165, 2151, 857, 406, 6540, 5446, 3449, 2958, 2233, 8830, 2413, 1455, 586, 305, 9589, 4979, 1752, 278, 617, 8608, 276, 1898, 7878, 1898, 1316, 845, 1958, 1588, 250, 3397, 2172, 14239, 10788, 5599, 12806, 59, 1799, 1845, 7601, 1274, 15097, 112, 467, 1628, 1388, 545, 1192, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
optical conductivity type ii weyl semimetal tairte tairte example candidate weyl type ii semimetal minimal possible number weyl node four node reported exist single plane space existence conical dispersion linked weyl node yet shown experimentally use optical spectroscopy probe band structure low energy scale studying optical conductivity allows u probe intraband interband transition zero momentum tairte observe narrow drude contribution interband conductivity may consistent tilted linear band dispersion mev interband conductivity allows u establish effective parameter conical dispersion effective velocity m tilt transport data seebeck hall coefficient qualitatively consistent conical feature band structure quantitative disagreement may linked multiband nature tairte
4
1,308,121
[ 2, 1195, 3815, 654, 1465, 3688, 7810, 16536, 7937, 38, 16536, 7937, 38, 848, 2333, 3688, 654, 1465, 7810, 2169, 1117, 486, 3688, 1418, 1249, 1418, 2987, 991, 782, 1954, 410, 1666, 9732, 3174, 5621, 3688, 1418, 2334, 1186, 2882, 508, 1195, 2999, 2634, 1075, 497, 485, 470, 680, 3535, 1195, 3815, 1191, 25, 2634, 4787, 3782, 14730, 908, 1362, 1772, 16536, 7937, 38, 2638, 4006, 14223, 1688, 14730, 3815, 853, 1460, 9647, 617, 1075, 3174, 4016, 14730, 3815, 1191, 25, 1227, 1013, 481, 9732, 3174, 1013, 1621, 17, 8706, 1538, 233, 12565, 3157, 1624, 5631, 1460, 9732, 571, 1075, 497, 2847, 10249, 853, 5621, 14006, 2014, 16536, 7937, 38, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
rodeo algorithm quantum computing present stochastic quantum computing algorithm prepare eigenvector quantum hamiltonian within selected energy interval order reduce spectral weight eigenvectors suppression factor required computational effort scale squared overlap initial state target eigenvector method call rodeo algorithm us auxiliary qubits control time evolution hamiltonian minus tunable parameter auxiliary qubit measurement amplitude eigenvectors multiplied stochastic factor depends proximity energy manner converge target eigenvector exponential accuracy number measurement addition preparing eigenvectors method also compute full spectrum hamiltonian illustrate performance several example energy eigenvalue determination error computational scaling eigenstate preparation computational scaling magnitude orthogonal component residual vector speed eigenstate preparation exponentially faster phase estimation adiabatic evolution
14
979,494
[ 2, 8035, 12540, 349, 406, 1617, 415, 1119, 406, 1617, 349, 10360, 6112, 406, 2001, 992, 3304, 470, 2743, 452, 2068, 1253, 1152, 7901, 5323, 955, 2089, 1259, 2901, 680, 5055, 3745, 1352, 314, 1176, 6112, 210, 1052, 8035, 12540, 349, 143, 4293, 4266, 561, 290, 1085, 2001, 11807, 4936, 481, 4293, 2616, 852, 2233, 7901, 16107, 1119, 955, 2696, 5363, 470, 3061, 4570, 1176, 6112, 2488, 865, 486, 852, 827, 13865, 7901, 210, 364, 1893, 1616, 978, 2001, 2495, 473, 876, 848, 470, 2672, 4267, 857, 1259, 2147, 10180, 7163, 1259, 2147, 2227, 3099, 1071, 3278, 1134, 1691, 10180, 7163, 4297, 2829, 584, 1083, 4702, 1085, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
relevance three dimensional thirring couple finite temperature denseness study three dimensional thirring model limit infinite number smell finite temperature compactness calculated number density social function temperature density zero temperature serf relevant parameter three dimensional loose fermion gas behavior tightness zero temperature approach zero smoothly grouchy two dimensional free fermion natural gas behavior density zero temperature approach infinity
19
466,956
[ 2, 4479, 776, 673, 17684, 5552, 834, 906, 2637, 691, 352, 776, 673, 17684, 142, 625, 2149, 486, 15008, 834, 906, 7305, 3282, 486, 784, 1794, 327, 906, 784, 1362, 906, 6098, 1980, 481, 776, 673, 14268, 2306, 1632, 1017, 13184, 1362, 906, 338, 1362, 9126, 405, 1517, 50, 312, 673, 965, 2306, 1398, 1632, 1017, 784, 1362, 906, 338, 4192, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
coherence reverberance influencer network complex network abundant nature many share important geomorphologic property contain node abnormally highly unite hub hub cry influencers couple powerfully web play fundamental dynamical structural role strikingly despite copiousness network influencers trivial known response stochastic squeeze oscillating dynamic influencer network appearance subjecting influencers optimum intensity noise result enhance network synchronism new network dynamical effect margin call coherency resonance influencer network emerges synergy network structure stochasticity highly nonlinear vanishing noise weak strong result reveal influencer backbone sharply increase dynamic response coordination compound system coupled oscillator
12
728,901
[ 2, 3684, 15480, 189, 2368, 34, 256, 586, 256, 7767, 2014, 731, 3968, 994, 910, 1135, 12949, 559, 1371, 1418, 9407, 97, 1752, 1436, 38, 4998, 4998, 1523, 2368, 4621, 5552, 3039, 97, 3615, 1973, 1708, 1602, 2287, 1574, 13443, 2601, 4397, 3246, 691, 256, 2368, 4621, 2867, 886, 1601, 1119, 14537, 7750, 565, 2368, 34, 256, 4441, 2315, 70, 2368, 4621, 5629, 2947, 1068, 249, 2158, 256, 3237, 645, 385, 256, 1602, 610, 4494, 1052, 19924, 479, 2292, 2368, 34, 256, 6401, 10295, 256, 497, 11484, 1752, 1144, 4127, 1068, 1207, 788, 249, 1605, 2368, 34, 6955, 13341, 1376, 565, 1601, 5757, 4132, 214, 1828, 3636, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
guide light cone pdfs wicket qcd overview approach technique result within theory quantum chromodynamics qcd rich social system hadron quantitatively characterized among others use basis universal non perturbative function parton distribution function pdfs generalized parton distribution gpds transverse momentum dependant distribution tmds distribution amplitude da half century joint experimental theoretical effort obtain partonic function however complexity substantial interaction placed severe limitation first principle result distribution extracted generally moment computed lattice qcd lately breakthrough idea changed landscape respective approaching propose access distribution wicket paper review considerable detail approaching directly relate partonic dispersion highlight recent estimate proposed ji extracting quasi distribution spawned renewed interest whole bailiwick sparked largest amount numerical subject lattice qcd discus theoretical practical development including challenge overcome yet also review numerical result including discussion based evolving understanding underlying concept theoretical pragmatic progress particular attention given important look validated quasi distribution approach renormalization matching light cone distribution lattice proficiency addition thorough discussion quasi distribution consider approach hadronic tensor auxiliary quark method pseudo pdfs ope without ope good lattice cross surgical incision closing provide prospect field emphasis necessary condition receive result controlled uncertainty
17
317,639
[ 2, 4415, 1003, 3946, 9805, 14901, 77, 3072, 4523, 338, 703, 249, 992, 476, 406, 11736, 3072, 2659, 1794, 214, 3167, 5223, 3046, 1509, 3892, 508, 2272, 2363, 278, 4011, 327, 5905, 555, 327, 9805, 1582, 5905, 555, 2809, 4091, 3415, 1772, 626, 150, 555, 12293, 555, 2233, 3735, 3045, 8124, 1776, 982, 1238, 2901, 575, 14806, 327, 627, 1223, 4302, 719, 6117, 5708, 2753, 499, 1779, 249, 555, 3404, 2946, 1147, 2852, 1276, 3072, 17259, 9127, 2399, 7795, 4426, 5718, 8011, 537, 2083, 555, 14901, 77, 362, 1977, 5027, 1639, 8011, 1986, 5369, 14806, 3174, 3025, 644, 999, 459, 16426, 5163, 2119, 555, 17527, 54, 7873, 14235, 1640, 3317, 5575, 3348, 54, 1722, 19548, 4085, 2224, 869, 2315, 1276, 3072, 883, 1238, 2065, 1642, 995, 1136, 3581, 2334, 364, 1977, 869, 249, 995, 4139, 250, 4987, 1543, 1924, 1546, 1238, 14119, 3331, 756, 1392, 812, 994, 4146, 4378, 2119, 555, 338, 4349, 2288, 1003, 3946, 555, 1276, 1777, 1302, 827, 5557, 4139, 2119, 555, 520, 338, 5741, 1540, 4293, 2269, 210, 3270, 9805, 12001, 973, 12001, 1860, 1276, 1202, 8377, 317, 603, 10428, 693, 5988, 381, 6515, 2446, 587, 7266, 249, 2988, 1451, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
privacy protection street view panorama using depth multi view imagery current paradigm privacy protection street view image detect blur sensitive information paper propose framework alternative blurring automatically remove inpaints moving object eg pedestrian vehicle street view imagery propose novel moving object segmentation algorithm exploiting consistency depth across multiple street view image later combined result segmentation network detected moving object removed inpainted information view obtain realistic output image moving object visible anymore evaluate result dataset image obtain peak noise signal ratio psnr loss db respectively ensure subjective quality ass overall quality also report result survey conducted professional asked visually inspect image whether object removal inpainting taken place inpainting dataset made publicly available scientific benchmarking purpose
0
91,215
[ 2, 2075, 5438, 8956, 1541, 13527, 8034, 291, 2220, 329, 1541, 6837, 845, 3058, 2075, 5438, 8956, 1541, 488, 2106, 7527, 2607, 545, 362, 537, 609, 2262, 16473, 3155, 5261, 8309, 6573, 32, 3354, 934, 1454, 6527, 2101, 8956, 1541, 6837, 537, 758, 3354, 934, 1721, 349, 3646, 3165, 2220, 1496, 849, 8956, 1541, 488, 4235, 2500, 249, 1721, 256, 2932, 3354, 934, 7258, 8309, 6573, 64, 545, 1541, 575, 2640, 1633, 488, 3354, 934, 4670, 19010, 302, 1802, 249, 608, 488, 575, 2596, 1068, 901, 1467, 12775, 1097, 4947, 1853, 3943, 6759, 1320, 446, 2612, 1320, 364, 1439, 249, 1799, 3341, 8126, 9362, 7355, 14215, 488, 2252, 934, 6176, 9699, 3356, 3249, 9699, 608, 2219, 3871, 1192, 3372, 6788, 2676, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
bayesian sequential data absorption covid forecasting introduce bayesian serial data assimilation method covid forecasting assumed suitable infection epidemic observation model available antecedently validated transmission epidemic model coded dynamical scheme observance model bet dynamical organisation state varying parameter cast likelihood function elicit prior distribution effective population size dynamical system initial condition infectious contact lens rate manipulation andrei markov chain monte carlo sampling make illation prediction quantity involvement qoi onset epidemic outbreak forecast sequentially updated sliding window epidemic record new data becomes available anterior distribution united state department state variable newfangled prediction time assembled using dynamical system calibrated previous prognosis moreover variety impinging rate effective population size naturally introduced auto regressive modeling equate parameter show forecasting method acting execution using seir case model covid data respective mexican locality
5
1,005,338
[ 2, 1920, 3188, 233, 3274, 2222, 3724, 1077, 1920, 9765, 233, 10141, 210, 2222, 3724, 4032, 2345, 4745, 4450, 972, 142, 1192, 3449, 5506, 2128, 4378, 2264, 4450, 142, 6139, 1602, 903, 474, 189, 142, 1054, 1602, 12925, 314, 2566, 481, 6798, 2762, 327, 10886, 1388, 555, 1013, 1719, 918, 1602, 214, 1352, 587, 8541, 2598, 3982, 687, 3902, 12600, 31, 2552, 1882, 2545, 2565, 1836, 1225, 3229, 75, 839, 2797, 14315, 21, 5382, 5588, 4450, 6791, 4207, 7440, 5765, 7327, 4029, 4450, 3355, 385, 233, 2968, 1192, 3449, 2958, 555, 8367, 314, 13276, 314, 1089, 385, 14551, 10940, 40, 839, 290, 9813, 291, 1602, 214, 6504, 912, 13882, 1415, 1683, 17584, 687, 1013, 1719, 918, 3241, 1847, 2837, 15381, 1490, 344, 103, 481, 223, 3724, 210, 5136, 4021, 291, 14656, 516, 142, 2222, 233, 5718, 14602, 14299, 39, 6355, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
production multi charmed hadron recombination heavy ion collision study product multi charmed hadron recombination heavy ion collision focusing production baryon mesotron starting estimation yield hadron chemical substance frost statistical coalition good example evaluate transverse impulse distribution mid celerity coalescence modeling show yield multi entrance hadron big ion hit rhic lhc vainglorious enough thereby multi delighted hadron watch far eg also keep yet discovered sufficiently ponderous ion collision besides find oneself transverse momentum distribution ratio various multi captivate hadron sensitively reflects interplay quark cheese content correspond hadron easily transverse momentum distribution appeal quark hadronization point therefore insist studying transverse impulse distribution multi charmed hadron transverse impulse distribution ratio diverse multi becharm hadron provide useful info hadron yield mechanism need charm quark cheese heavy ion collision
16
844,376
[ 2, 2155, 329, 12017, 3167, 6960, 2476, 1710, 1881, 352, 1568, 329, 12017, 3167, 6960, 2476, 1710, 1881, 3895, 2155, 3941, 2198, 16317, 3776, 1083, 1718, 3167, 2531, 13687, 7739, 79, 1558, 11127, 1860, 848, 1802, 3415, 8959, 555, 3683, 6089, 59, 104, 8166, 1490, 223, 1718, 329, 17020, 3167, 3315, 1710, 6889, 10984, 3599, 7608, 70, 5784, 3246, 3402, 3719, 329, 8175, 2009, 64, 3167, 15729, 2209, 1454, 364, 4141, 2334, 4352, 3566, 305, 39, 179, 211, 1710, 1881, 3923, 696, 401, 15063, 52, 3415, 1772, 555, 1467, 1002, 329, 3328, 360, 103, 3167, 15863, 8366, 4305, 2269, 6672, 3953, 2313, 932, 3167, 3112, 3415, 1772, 555, 15727, 2269, 15650, 563, 1840, 1656, 79, 3535, 3415, 8959, 555, 329, 12017, 3167, 3415, 8959, 555, 1467, 3122, 329, 1413, 6525, 3167, 693, 2094, 796, 35, 3167, 1718, 1112, 1142, 5786, 2269, 6672, 3953, 2476, 1710, 1881, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
quantum electrodynamics qed renormalization logical paradox zeta function regularization logically invalid mathematically invalid quantum electrodynamics qed renormalizaion paradox us euler mascheroni constant defined conditionally convergent series riemann series theorem prof conditionally convergent series rearranged divergent contradiction series convergent divergent paradox classical logic intuitionistic logic zermelo fraenkel set theory also contradicts commutative associative property addition therefore qed mathematically invalid zeta function regularization equates two definition zeta function domain value contradict dirichlet series definition divergent riemann definition convergent either creates paradox riemann definition true logically invalid riemann definition false show riemann definition false derivation riemann definition includes contradiction use hankel contour cauchys integral theorem also third definition zeta function proven false zeta function zero riemann hypothesis paradox due material implication vacuous subject
1
546,542
[ 2, 406, 6879, 7005, 4349, 5615, 7773, 6706, 327, 2823, 19108, 12152, 7233, 12152, 406, 6879, 7005, 3431, 135, 4225, 58, 7773, 143, 3742, 7591, 10877, 11673, 1269, 1613, 11893, 7083, 1461, 4728, 1461, 1396, 1777, 11893, 7083, 1461, 8878, 7002, 40, 9385, 13313, 1461, 7083, 9385, 7773, 1070, 3050, 15795, 3050, 9333, 9811, 1630, 3467, 7495, 73, 376, 476, 364, 11881, 32, 5029, 8059, 559, 827, 1840, 7005, 7233, 12152, 6706, 327, 2823, 344, 763, 312, 3017, 6706, 327, 749, 730, 11881, 4615, 1461, 3017, 9385, 4728, 3017, 7083, 1896, 7054, 7773, 4728, 3017, 3021, 19108, 12152, 4728, 3017, 4142, 223, 4728, 3017, 4142, 4125, 4728, 3017, 2976, 13313, 508, 11726, 6417, 6037, 32, 1964, 1396, 364, 3065, 3017, 6706, 327, 4231, 4142, 6706, 327, 1362, 4728, 2765, 7773, 824, 1222, 3041, 2945, 211, 2315, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
learning ear face super resolution propose novel method use audio low resolution image perform extreme face super resolution x increase input size resolution input image low eg pixel loss information dire important detail original identity lost audio aid recovery plausible high resolution image fact audio carry information facial attribute gender age combine aural visual modality propose method first build latent representation face lone audio track lone low resolution image train network fuse two representation show experimentally audio assist recovering attribute gender age identity thus improve correctness high resolution image reconstruction process procedure make use human annotation thus easily trained existing video datasets moreover show model build factorized representation image audio allows one mix low resolution image audio different video generate realistic face semantically meaningful combination
3
120,338
[ 2, 285, 1381, 2385, 477, 1378, 537, 758, 210, 508, 3006, 485, 1378, 488, 347, 3203, 2385, 477, 1378, 28, 1376, 983, 918, 1378, 983, 488, 485, 1454, 3156, 1097, 545, 628, 38, 994, 1639, 2167, 3199, 7939, 3006, 5547, 3513, 6138, 298, 1378, 488, 769, 3006, 3771, 545, 5156, 3233, 5833, 3038, 2606, 11882, 61, 1386, 3626, 537, 210, 499, 2655, 2254, 748, 2385, 16122, 38, 3006, 1862, 16122, 38, 485, 1378, 488, 442, 256, 8513, 312, 748, 223, 2882, 3006, 2962, 6695, 3233, 5833, 3038, 3199, 1214, 1354, 7186, 298, 1378, 488, 2017, 455, 1898, 1225, 508, 1047, 3534, 1214, 3112, 1318, 936, 1652, 1037, 1415, 223, 142, 2655, 11675, 748, 488, 3006, 1191, 401, 1206, 485, 1378, 488, 3006, 467, 1652, 1941, 2640, 2385, 8217, 4713, 2033, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
effectual foresightful distance potential holographic rg flow written report potential strongly coupled non conformal landing subject area hypothesis non piffling renormalization chemical group menses via holography focus dimension potential inter quark cheese separation large compare characteristic scale study possible action determined leading lodge ir physic plus serial chastisement sensitive property element menstruum determine correction propose general method applying holographical wilsonian renormalization dual bowed stringed instrument apply method examine detail deuce dress illustration dimensional possibleness rg flowing ending ir fixed gunpoint theory confining ir particular witten quantum chromodynamics klebanov strassler model case observe correction universal dependence inter quark separation ir ready item correction decline power excuse dependence term three fold trace deformation one dimensional defect theory confining theory decay exponential scale purchase order glueball mass interpret correction habituate efficacious flux density tube description create background internal mode fervor induce source localize termination flux tube saucer result could confronted lattice qcd information examination whether description confinement via gaugegravity qualitatively correct
19
425,928
[ 2, 610, 399, 15539, 373, 789, 1193, 801, 4595, 4355, 928, 5056, 1439, 801, 2120, 1828, 278, 3076, 12060, 2315, 1589, 2765, 278, 3479, 122, 1233, 4349, 2531, 657, 9909, 19233, 864, 9505, 1102, 443, 801, 206, 2269, 6672, 3953, 2782, 506, 1845, 1548, 680, 352, 1117, 1274, 2526, 2085, 1010, 40, 112, 1533, 1422, 5504, 9765, 3208, 79, 491, 190, 2607, 559, 1241, 9909, 222, 45, 109, 1988, 2303, 537, 421, 210, 2709, 4595, 61, 6598, 599, 4349, 1641, 9312, 64, 2470, 64, 3309, 1780, 210, 3307, 1639, 139, 589, 10790, 8550, 673, 1117, 691, 4355, 12255, 13862, 1533, 1650, 13413, 3523, 476, 9611, 1533, 756, 7223, 406, 11736, 5881, 4313, 721, 3150, 258, 1725, 142, 516, 2638, 2303, 2363, 1991, 206, 2269, 2782, 1533, 11023, 3403, 2303, 9666, 716, 1009, 3714, 1991, 612, 776, 4088, 3158, 2795, 401, 673, 2938, 476, 9611, 476, 1552, 2488, 680, 12232, 452, 15944, 669, 1441, 2303, 8842, 9000, 4734, 84, 3246, 2136, 784, 6075, 2045, 3459, 1919, 3060, 1082, 2740, 19034, 5048, 829, 9264, 9428, 2136, 6075, 4534, 589, 34, 249, 1499, 16049, 1276, 3072, 545, 8791, 2252, 2045, 5301, 864, 2036, 6982, 5631, 2510, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
dsg net learning disentangled structure geometry shape generation shape generation fundamental operation computer graphic significant progress made especially recent deep generative model remains challenge synthesize high quality shape rich geometric detail complex structure controllable manner tackle introduce dsg net deep neural network learns disentangled structured geometric mesh representation shape two key aspect shape geometry structure encoded synergistic manner ensure plausibility generated shape also disentangled much possible support range novel shape generation application disentangled control interpolation structure geometry keeping geometry structure unchanged achieve simultaneously learn structure geometry variational autoencoders vaes hierarchical manner bijective mapping level manner effectively encode geometry structure separate latent space ensuring compatibility structure used guide geometry vice versa leaf level part geometry represented using conditional part vae encode high quality geometric detail guided structure context condition method support controllable generation application also produce high quality synthesized shape outperforming state art method code released
0
76,097
[ 2, 7194, 47, 244, 285, 8371, 497, 1583, 1761, 1356, 1761, 1356, 1708, 1837, 2003, 8129, 779, 3331, 2219, 2301, 644, 562, 2191, 142, 2685, 1136, 7257, 298, 1320, 1761, 2659, 1987, 1639, 586, 497, 6297, 3061, 3898, 1077, 7194, 47, 244, 562, 549, 256, 3600, 8371, 3140, 1987, 3453, 748, 1761, 312, 1231, 2346, 1761, 1583, 497, 5104, 12716, 3061, 3943, 14381, 1472, 1761, 364, 8371, 1804, 1117, 1393, 889, 758, 1761, 1356, 542, 8371, 561, 4223, 497, 1583, 6216, 1583, 497, 10350, 1455, 2581, 234, 497, 1583, 2332, 6316, 10181, 2850, 3061, 13918, 2256, 712, 3061, 2760, 5255, 1583, 497, 3948, 2254, 410, 6304, 6826, 497, 522, 4415, 1583, 9421, 9599, 6065, 712, 1229, 1583, 3916, 291, 2820, 1229, 6168, 5255, 298, 1320, 1987, 1639, 4220, 497, 1115, 587, 210, 1393, 6297, 1356, 542, 364, 1990, 298, 1320, 6319, 1761, 7022, 314, 930, 210, 967, 6230, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
poisson structure loop infinite matrix associated universal elliptical curve construct household poisson social organisation hydrodynamic type iteration space family parametrized modulus space elliptic curve word modular parameter kinsperson lifted homogenous poisson structure intertwine blank space order indigence upgrade modular parameter additional field poisson square bracket coordinate homogeneous poisson structure written term prolate ground substance hydrodynamic type
12
761,375
[ 2, 3243, 497, 1984, 2149, 766, 1187, 2363, 8621, 1684, 1244, 9835, 3243, 1794, 12925, 3512, 654, 3074, 410, 1644, 7445, 3549, 410, 3250, 1684, 1963, 3369, 481, 3418, 750, 1421, 58, 10286, 15164, 3243, 497, 9744, 216, 14794, 410, 452, 1400, 12319, 9087, 3369, 481, 1854, 381, 3243, 2187, 7931, 2972, 3086, 3243, 497, 5056, 612, 15955, 1636, 13687, 3512, 654, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
neural architecture search lf mmi trained time delay neural network deep neural network dnns based automatic speech recognition asr system often designed using expert knowledge empirical evaluation paper range neural architecture search na technique used automatically learn two type hyper parameter state art factored time delay neural network tdnns left right splicing context offset ii dimensionality bottleneck linear projection hidden layer include dart method integrating architecture selection lattice free mmi lf mmi tdnn training gumbel softmax pipelined dart reducing confusion candidate architecture improving generalization architecture selection penalized dart incorporating resource constraint adjust trade performance system complexity parameter sharing among candidate architecture allows efficient search different tdnn system experiment conducted hour switchboard corpus suggest auto configured system consistently outperform baseline lf mmi tdnn system using manual network design random architecture search lhuc speaker adaptation rnnlm rescoring absolute word error rate wer reduction relative model size reduction obtained consistent performance improvement also obtained uaspeech disordered speech recognition task using proposed na approach
0
36,952
[ 2, 549, 1091, 1106, 6849, 2875, 31, 1318, 290, 2439, 549, 256, 562, 549, 256, 4257, 250, 1816, 1767, 1745, 4811, 214, 1429, 2092, 291, 3245, 1179, 2124, 1448, 362, 889, 549, 1091, 1106, 3679, 703, 522, 3155, 234, 312, 654, 1123, 481, 314, 930, 15220, 290, 2439, 549, 256, 5460, 3764, 3698, 3179, 2211, 4868, 1115, 6563, 1465, 4130, 4820, 617, 2801, 3084, 975, 2373, 14646, 210, 5337, 1091, 1869, 1276, 965, 2875, 31, 6849, 2875, 31, 5460, 882, 660, 15281, 8235, 3531, 40, 14646, 3390, 10367, 2333, 1091, 2859, 1781, 1091, 1869, 9250, 14646, 4366, 1655, 986, 3922, 2798, 473, 214, 1223, 481, 3851, 1509, 2333, 1091, 1191, 790, 1106, 467, 5460, 882, 214, 427, 3341, 4684, 4393, 6422, 3731, 1503, 2837, 15550, 214, 4408, 1494, 2109, 6849, 2875, 31, 5460, 882, 214, 291, 5078, 256, 618, 753, 1091, 1106, 3406, 123, 3132, 3104, 5358, 15682, 7566, 1619, 3999, 1963, 857, 687, 9788, 1843, 1946, 142, 918, 1843, 970, 1460, 473, 1760, 364, 970, 17762, 12640, 5091, 1767, 1745, 546, 291, 459, 3679, 338, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
foremost implementation transverse spherocity psychoanalysis overweight ion collision large hadron collider energy transverse spherocity event flesh discernible unique capability separate event based geometrical bod ie jetty isotropic work use transverse spherocity first time heavy ion collision using multi phase transport model ampt obtain transversal momentum spectrum integrated yield mean transverse momentum azimuthal anisotropy identified atom atomic number xe collision tev pb lead collision tev indication collectivity heavy ion collision clearly seen equate transverse momentum spectrum jetty isotropic event elliptic flow procedure thwartwise spherocity show isotropic event zero prolate flow oval shaped flow mostly dominated jetty event study pave way focusing jetty event clayey ion hit order investigate jet mass medium qualifying jet hadro interpersonal chemistry sophisticated mode
14
939,721
[ 2, 5635, 2367, 1797, 3415, 2920, 18321, 6509, 8928, 2536, 97, 9206, 887, 5205, 1710, 1881, 506, 3167, 4296, 470, 3415, 2920, 18321, 1170, 9573, 1001, 13112, 1310, 2326, 2459, 3948, 1170, 250, 5341, 19371, 1273, 2580, 351, 4518, 431, 508, 3415, 2920, 18321, 499, 290, 2476, 1710, 1881, 291, 329, 584, 1538, 142, 11211, 36, 575, 11203, 1772, 978, 2764, 1718, 823, 3415, 1772, 8357, 3703, 2807, 1369, 2671, 486, 11183, 1881, 4210, 3727, 840, 1881, 4210, 8840, 5554, 12930, 2476, 1710, 1881, 5383, 3214, 344, 103, 3415, 1772, 978, 2580, 351, 4518, 1170, 3250, 928, 1898, 149, 2383, 7770, 491, 2920, 18321, 223, 4518, 1170, 1362, 15955, 928, 13940, 61, 5556, 928, 4461, 3995, 2580, 351, 1170, 352, 6067, 1024, 3895, 2580, 351, 1170, 178, 203, 6109, 1710, 6889, 452, 1190, 2580, 669, 1865, 3190, 4005, 2580, 2856, 71, 1113, 1421, 1508, 5384, 6323, 1082, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
deep convolutional autoencoder cryptocurrency market depth psychology field attempt canvas pattern cryptocurrency market using special type deep neural network namely convolutional autoencoder method extract dominant feature market behavior classifies studied cryptocurrencies several class twelve calendar month menstruum start thorium whitethorn transition one form another time related maturement cryptocurrencies speculative cryptocurrency market get potential import investing trading strategy
15
1,101,919
[ 2, 562, 1747, 4904, 11926, 2766, 2220, 11872, 381, 3628, 2774, 6665, 32, 1412, 11926, 2766, 291, 1846, 654, 562, 549, 256, 2511, 1747, 4904, 210, 1890, 3986, 571, 2766, 1017, 11656, 1590, 12705, 876, 463, 13324, 729, 16164, 34, 6263, 9909, 222, 45, 109, 3889, 5073, 2555, 3554, 225, 9980, 908, 401, 337, 2630, 290, 1264, 12841, 190, 12705, 16387, 11926, 2766, 3195, 801, 816, 19711, 6198, 1168, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
dual density based reweighted algorithm class minimization problem optimization problem sparsity arises many area science engineering compressed sensing image processing statistical learning data sparse approximation paper study dual density based reweighted algorithm class minimization model used model wide range practical problem class algorithm based certain convex relaxation reformulation underlying minimization model reformulation special bilevel optimization problem theory equivalent underlying minimization problem assumption strict complementarity basic property algorithm discussed numerical experiment carried demonstrate efficiency proposed algorithm comparison numerical performance proposed method classic reweighted algorithm also made paper
0
16,327
[ 2, 1641, 784, 250, 15638, 349, 463, 3848, 304, 868, 304, 3874, 4530, 731, 1589, 2430, 3024, 4959, 2835, 488, 1567, 1558, 285, 233, 2006, 1056, 362, 352, 1641, 784, 250, 15638, 349, 463, 3848, 142, 522, 142, 1762, 889, 2065, 304, 463, 349, 250, 1452, 1593, 2954, 8808, 1924, 3848, 142, 8808, 1846, 12327, 868, 304, 476, 2514, 1924, 3848, 304, 1628, 3773, 10665, 2919, 559, 349, 2443, 869, 427, 3862, 717, 1370, 459, 349, 1848, 869, 473, 459, 210, 5041, 15638, 349, 364, 2219, 362, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
investigating diffractive gluon output lepton ion collision study diffractive jet yield electron ion hit kinematical region mass diffractive final state larger based parton saturation framework prediction execute kinematics future possible machine eic lhec lhec federal communication commission ea analyze differential cross section mathematical function jet gluon transverse momentum data based point view observable could used take saturation scale function
17
349,121
[ 2, 5360, 10735, 4679, 1633, 4607, 1710, 1881, 352, 10735, 2580, 1718, 1149, 1710, 6889, 12194, 977, 669, 10735, 2811, 314, 2076, 250, 5905, 5843, 609, 839, 8884, 5841, 1387, 1117, 825, 13186, 3406, 74, 3406, 74, 17246, 1313, 11683, 9774, 1849, 1493, 1202, 2524, 2657, 327, 2580, 4679, 3415, 1772, 233, 250, 563, 1541, 4131, 1499, 522, 1884, 5843, 680, 327, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
linear breit bicycler pair production high energy bremsstrahlung photon collide intense ray laser pulse possible setup experimental verification linear breit sir robert eric mortimer wheeler couplet creation negatron positron photon photon collision canvas theoretically combine extremely energetic bremsstrahlung photon assumed generated incident beam gev negatron penetrating high target kev photon beam light optical maser field name focussed gaussian pulse saucer dependency brace yield incident electron energy target thickness laser parameter collision geometry testify desirable condition nowadays reach beam optical maser facility resulting phone number create particle seems well accessible enable first experimental observation linear breit wheeler process
7
1,653,182
[ 2, 617, 16541, 18186, 34, 1140, 2155, 298, 470, 14464, 1658, 16905, 7021, 1245, 2361, 2897, 1117, 3405, 982, 3645, 617, 16541, 7359, 8549, 726, 72, 6966, 247, 34, 12523, 5552, 36, 5254, 1554, 18624, 6754, 1658, 1658, 1881, 2774, 6665, 32, 3470, 2606, 3611, 6105, 14464, 1658, 4032, 1472, 5551, 1786, 3598, 1554, 18624, 18654, 298, 1176, 5290, 1658, 1786, 1003, 1195, 10123, 381, 6044, 1102, 2021, 1476, 2897, 4534, 589, 34, 3486, 16589, 1718, 5551, 1149, 470, 1176, 4533, 2361, 481, 1881, 1583, 821, 2451, 5401, 587, 8054, 2123, 1786, 1195, 10123, 5195, 1748, 6522, 486, 3459, 836, 6274, 529, 4837, 2769, 499, 982, 972, 617, 16541, 12523, 455, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
baryogenesis hierarchical dirac neutrino present novel testable chemical mechanism leptogenesis characterize purely thermal genesis lepton asymmetry via new scalar decay illustrate bench mark scenario lepton asymmetry stored right handed sector lightest dirac neutrino partly recycle baryon imbalance sphaleron decouples give baryon asymmetry formulated entirely term neutrino mass mixing intimately vacuum scale responsible sub ev dirac neutrino mass lead natural unmediated link high low energy cp trespass figure therefore haunting trouble encountered general leptogenesis mechanic also catalyze broad class testable good example build specific low energy scalar structure
7
1,781,875
[ 2, 13816, 2850, 2937, 2018, 415, 758, 12976, 2531, 1112, 13436, 2636, 4641, 1609, 18175, 4607, 4224, 864, 385, 1631, 1552, 2495, 1504, 1280, 1296, 4607, 4224, 6628, 3179, 8323, 3364, 11948, 2937, 2018, 9643, 12968, 80, 3941, 6146, 12727, 2168, 699, 15268, 1041, 3941, 4224, 4117, 6512, 612, 2018, 669, 3153, 13562, 2969, 680, 4995, 389, 270, 2937, 2018, 669, 840, 1398, 7579, 6999, 861, 1927, 298, 485, 470, 3281, 4148, 750, 261, 7547, 1840, 5858, 12773, 19753, 80, 7303, 421, 13436, 3378, 364, 7704, 3291, 2159, 463, 12976, 1860, 848, 2655, 1255, 485, 470, 1631, 497, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
cvc contrastive learning non parallel voice conversion cycle consistent generative adversarial network cyclegan variational autoencoder vae based model gained popularity non parallel voice conversion recently however often suffer difficult training process unsatisfactory result paper propose cvc contrastive learning based adversarial approach voice conversion compared previous cyclegan based method cvc requires efficient one way gan training taking advantage contrastive learning come non parallel one one voice conversion cvc par better cyclegan vae effectively reducing training time cvc demonstrates superior performance many one voice conversion enabling conversion unseen speaker
0
4,861
[ 2, 5526, 33, 5608, 285, 278, 1912, 4807, 3917, 2371, 1460, 2191, 1374, 256, 12656, 2332, 4904, 6168, 250, 142, 6279, 6215, 278, 1912, 4807, 3917, 1305, 627, 1429, 4374, 1930, 660, 455, 15483, 249, 362, 537, 5526, 33, 5608, 285, 250, 1374, 338, 4807, 3917, 985, 912, 12656, 250, 210, 5526, 33, 2007, 790, 401, 1024, 2732, 660, 2960, 2051, 5608, 285, 3543, 278, 1912, 401, 401, 4807, 3917, 5526, 33, 165, 1251, 12656, 6168, 2760, 3390, 660, 290, 5526, 33, 3755, 2997, 473, 731, 401, 4807, 3917, 3747, 3917, 4371, 3132, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
gauge invariant renormalization gluino mucilage hustler study gluino glue operator circumstance supersymmetric yang mill sym theory composite hustler gauge invariant directly connect visible light bound country theory renormalization authorized necessary footmark study low lie edge province via numeral simulation pas water use calibre changeless renormalization dodge girs requires computation green power ware two gluino mucilage operator situated distinct space time head within strategy mixing non standard measurement invariant hustler quantum turn inconsequential compute unmatched loop conversion portion relating girs scheme conversion factor used order convert green function get via grille simulation normalise nonperturbatively girs
19
404,104
[ 2, 2036, 1406, 4349, 4083, 6472, 16429, 17254, 112, 19870, 15721, 34, 352, 4083, 6472, 9885, 941, 9070, 5400, 4662, 2427, 2217, 476, 4186, 19870, 15721, 34, 2036, 1406, 1986, 5098, 4670, 1003, 451, 4299, 476, 4349, 2953, 422, 2446, 5527, 1401, 352, 485, 2098, 1226, 16884, 864, 722, 61, 679, 5599, 2767, 508, 2772, 114, 1173, 2112, 4349, 15097, 112, 10183, 32, 2007, 1189, 4112, 716, 14624, 312, 4083, 6472, 16429, 17254, 112, 941, 14500, 2770, 410, 290, 4184, 992, 1168, 3153, 278, 974, 852, 1406, 19870, 15721, 34, 406, 2405, 5297, 1573, 434, 1893, 7579, 19538, 1984, 3917, 7071, 6654, 10183, 32, 903, 3917, 955, 522, 452, 6534, 4112, 327, 3195, 864, 9259, 7270, 38, 679, 1572, 491, 10491, 97, 10183, 32, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
phase angle body structure cp model presence topological term numerically study stage structure cp model comportment topological terminal regime afflicted signal problem ground lattice three menu monte carlo simulation use julian bond burthen tensor renormalization mathematical group method compute devoid get live paired mate pasture find cp violating first order stage angle transition dividing line previous finding numerical result bring home bacon ground critical sexual union
19
485,289
[ 2, 584, 2228, 1577, 497, 3281, 142, 1591, 1178, 612, 3138, 352, 2031, 497, 3281, 142, 141, 274, 190, 1178, 6120, 1526, 1383, 1394, 861, 901, 304, 1636, 1276, 776, 9909, 45, 2545, 2565, 679, 508, 11716, 39, 4197, 2992, 8446, 39, 1540, 4349, 2657, 657, 210, 1893, 1032, 1336, 3195, 7006, 7245, 319, 38, 2965, 131, 696, 3281, 6383, 499, 452, 2031, 2228, 908, 12099, 1175, 912, 1545, 869, 249, 4161, 4885, 18588, 58, 1636, 1166, 17582, 6315, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
bubble lifetime dna gene showman mutation affecting recording relative lifetime inbuilt doubly stranded desoxyribonucleic acid open duration ten foot duet presented unlike gene promoter corresponding sport either increase decrease transcriptional action framework peyrard bishop dauxois model extensive microcanonical simulation used vitality corresponding physiologic temperature bubble lifespan visibility along dna sequence demonstrate significant reduction average lifetime genetic mutation site mutated promoter decrease transcription equate enhancement bubble lifetime keep eye slip mutation leading increased written text relative difference bubble lifetime mutated wild character promoter position mutation varies bubble duration decreasing
5
1,083,845
[ 2, 5001, 4413, 5970, 5005, 223, 1859, 6716, 7354, 5579, 1946, 4413, 83, 8525, 116, 36, 6310, 11346, 64, 313, 17145, 272, 58, 1256, 72, 8578, 1090, 4509, 4265, 5527, 824, 36, 1588, 3564, 5005, 7048, 34, 1309, 11390, 1896, 1376, 2957, 8478, 61, 1274, 609, 1516, 11430, 330, 9561, 19800, 3735, 9763, 6166, 142, 2095, 16529, 679, 522, 6461, 104, 1309, 7580, 12949, 906, 5001, 17027, 7918, 1622, 5970, 1160, 717, 779, 1843, 1611, 4413, 5178, 6716, 3032, 2884, 180, 7048, 34, 2957, 8478, 344, 103, 3066, 5001, 4413, 4141, 5753, 7053, 6716, 2085, 3347, 5056, 1247, 1946, 1608, 5001, 4413, 2884, 180, 6040, 649, 7048, 34, 2012, 6716, 6490, 5001, 4509, 5246, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
gurevich pitaevskii problem development present introduction hypothesis diffusive shock undulation framework approach aim gurevich pitaevskii zh eksp teor fiz sov phys jetp based whitham theory pitch contour nonlinear wave explain whitham equation periodic solution gain korteweg de vries equation outline elementary method solve illustrate approach resolution main problem talk gurevich pitaevskii reckon generalization theory system weak dissipation saucer theory diffusive shock beckon consummate pitaevskii equation
12
740,550
[ 2, 1076, 114, 10532, 12589, 304, 1642, 415, 4585, 2765, 6267, 3295, 3961, 361, 609, 338, 1484, 1076, 114, 10532, 12589, 6616, 15421, 750, 2223, 65, 294, 49, 1294, 46, 723, 2580, 44, 250, 11193, 9588, 476, 7700, 6417, 1144, 713, 1668, 11193, 9588, 552, 2229, 533, 2146, 13296, 139, 14041, 552, 6030, 4788, 210, 1925, 2495, 338, 1378, 925, 304, 8900, 1076, 114, 10532, 12589, 251, 13091, 39, 1781, 476, 214, 1207, 3954, 4534, 589, 34, 476, 6267, 3295, 1413, 13091, 39, 2479, 1208, 1379, 12589, 552, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
non gaussianity entanglement entropy correlation composite operator extended version previous paper arxiv study entanglement entropy ee half space interacting field theory previous paper proposed novel method calculate ee based notion gauge theory feynman diagram shown ee consists two particular contribution one renormalized two point correlation function two particle irreducible pi formalism another interaction vertex paper investigate general field theory show non gaussian contribution vertex interpreted renormalized correlation function composite operator
13
1,275,207
[ 2, 278, 10658, 2308, 1612, 1138, 4186, 941, 1979, 1904, 912, 362, 4767, 352, 2308, 1612, 7366, 3045, 410, 2571, 381, 476, 912, 362, 459, 758, 210, 2967, 7366, 250, 2245, 2036, 476, 6937, 2543, 1186, 7366, 2834, 312, 756, 1688, 401, 9383, 312, 563, 1138, 327, 312, 836, 4731, 3479, 3091, 2630, 719, 1949, 362, 1190, 421, 381, 476, 223, 278, 1476, 1688, 1949, 4850, 9383, 1138, 327, 4186, 941, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
memory critical dynamic buildup phonon dressed majorana fermion investigate dynamical interplay topologic commonwealth matter non markovian dissolution give rise new crucial time scale scheme dynamic referable quantum retention specifically learn one dimensional polaronic topological superconductor phonon dress roll pair fast temperature increase fence phonons induces open system dynamic show computer storage depth increment genus majorana edge dynamic transit relaxing monotonically plateau substantial economic value collapse buildup behavior even polaron hamiltonian close topological form boundary critical memory depth system approach new dressed nation topological superconductor dynamical equilibrium phonons nearly full buildup majorana correlation
13
1,295,219
[ 2, 1581, 1166, 565, 2655, 436, 3793, 10829, 4945, 2306, 1190, 1602, 4305, 653, 12949, 1277, 3026, 2232, 1074, 278, 5663, 15998, 1041, 3248, 385, 2620, 290, 680, 903, 565, 3344, 195, 406, 12850, 1855, 234, 401, 673, 11541, 72, 1178, 3650, 3793, 10790, 6661, 1140, 1180, 906, 1376, 16853, 95, 6934, 5535, 1090, 214, 565, 223, 2003, 3408, 2220, 4690, 4899, 4945, 1226, 565, 5593, 11626, 10215, 7478, 4302, 4252, 730, 3863, 2655, 436, 1017, 1040, 11541, 2001, 2247, 1178, 337, 1107, 1166, 1581, 2220, 214, 338, 385, 10829, 12415, 1178, 3650, 1602, 1726, 6934, 3532, 1616, 2655, 436, 4945, 1138, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
third kind elliptic integral motif phd thesis showed generalized grothendiecks conjecture period applied motif whose underlying semi abelian variety product elliptic curve torus equivalent transcendental conjecture involving elliptic integral first second kind logarithm complex number paper investigate generalized grothendiecks conjecture period case motif whose underlying semi abelian variety non trivial extension product elliptic curve torus imply introduction elliptic integral third kind computation period matrix therefore generalized grothendiecks conjecture period applied equivalent transcendental conjecture involving elliptic integral first second third kind
1
518,232
[ 2, 3065, 3251, 3250, 1964, 7096, 15313, 7120, 3568, 1582, 8707, 32, 2049, 1278, 1261, 7096, 1857, 1924, 2057, 3361, 1683, 1568, 3250, 1684, 4122, 2514, 13154, 2049, 3007, 3250, 1964, 499, 937, 3251, 3501, 586, 486, 362, 1190, 1582, 8707, 32, 2049, 1278, 516, 7096, 1857, 1924, 2057, 3361, 1683, 278, 2867, 1900, 1568, 3250, 1684, 4122, 5675, 4585, 3250, 1964, 3065, 3251, 1189, 1278, 766, 1840, 1582, 8707, 32, 2049, 1278, 1261, 2514, 13154, 2049, 3007, 3250, 1964, 499, 937, 3065, 3251, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
note proviso public service different quality study lineament dimension affect social optimum model spatial differentiation two facility provide public service process character enters linearly private utility function symmetrical configuration adeptness quality answer group individual size maximize societal welfare surprising result individual symmetrically indistinguishable timber valuation well show symmetric configuration facility whitethorn maximize societal welfare individual marginal public utility quality minify
15
1,152,019
[ 2, 3089, 6024, 86, 35, 2133, 2384, 467, 1320, 352, 1175, 1391, 443, 2898, 1794, 5629, 142, 1325, 7262, 312, 5195, 693, 2133, 2384, 455, 649, 12352, 4324, 3670, 3312, 327, 15129, 1932, 19680, 518, 691, 1320, 2874, 657, 1570, 918, 4460, 11382, 8789, 4110, 249, 1570, 19086, 9740, 2407, 350, 7342, 529, 223, 1879, 1932, 5195, 3554, 225, 9980, 4460, 11382, 8789, 1570, 4344, 2133, 3312, 1320, 5854, 52, 50, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
using environment understand non markovian open quantum system tracing environmental degree freedom necessary procedure simulating open quantum system essential step deriving tractable master equation represents loss information situation strong interplay system environmental degree freedom loss make understanding system dynamic challenging dynamic viewed isolation non markovian memory effect induce complex feature difficult interpret exploit numerically exact approach simulating system dynamic spin boson model based construction contraction tensor network represents process tensor open quantum system able find system correlation function exactly show use infer correlation function gaussian environment long coupling system envinroment linear allows reconstruction full dynamic system environment also open avenue studying effect system environment demonstrate applicability method show heat move different mode bosonic bath coupled two level system subject resonant drive
4
1,389,021
[ 2, 291, 1028, 1121, 278, 5663, 1090, 406, 214, 5876, 4405, 1402, 3371, 2446, 1898, 5639, 1090, 406, 214, 2691, 1228, 6268, 5488, 5645, 552, 4221, 1097, 545, 3055, 788, 4305, 214, 4405, 1402, 3371, 1097, 1225, 1543, 214, 565, 1759, 565, 5343, 7097, 278, 5663, 1581, 610, 5048, 586, 571, 1930, 1441, 2208, 3138, 1487, 338, 5639, 214, 565, 740, 2986, 142, 250, 1793, 5692, 1540, 256, 4221, 455, 1540, 1090, 406, 214, 1728, 696, 214, 1138, 327, 3625, 223, 508, 2633, 1138, 327, 1476, 1028, 891, 1183, 214, 993, 60, 10978, 39, 36, 617, 1191, 2017, 1616, 565, 214, 1028, 364, 1090, 7367, 3535, 610, 214, 1028, 717, 4340, 210, 223, 2551, 4326, 467, 1082, 5265, 5453, 1828, 312, 712, 214, 2315, 3809, 4047, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
model clime atmospheric condition lagrangian average euler boussinesq equivalence rapture noise prediction climate change encroachment extremum weather event one great societal intellectual challenge sentence first part problem make distinction weather climate second part realize active fluctuation physical varying third part predict variance fluctuation affected statistical correlation fluctuating dynamic composition investigates framework call la salt meet three part challenge problem climate change tractable example framework consider euler boussinesq eb equation incompressible ranked fluid flowing gravity vertical plane external forcing trey part problem solved case fact problem framework besides delivers global well posedness dynamic physical variable closed dynamic equating moment variation thus well posed mathematical background framework make grow paper show beggarly field force dynamic combine intricate regalia correlation fluctuation dynamic drive evolution mean statistic result framework eb model analysis define clime well climate change weather dynamic change weather statistic context model system spdes unique global strong solvent
8
610,215
[ 2, 142, 4911, 38, 4423, 587, 3515, 1611, 3742, 13251, 3314, 2465, 1156, 1068, 839, 5393, 1173, 1050, 71, 221, 190, 13371, 5731, 1170, 401, 1931, 11382, 15061, 1136, 3472, 499, 1229, 304, 1225, 9372, 5731, 5393, 937, 1229, 4919, 1894, 2160, 1347, 2566, 3065, 1229, 1480, 2726, 2160, 4392, 1558, 1138, 9064, 565, 2684, 5868, 609, 1052, 1120, 9532, 5084, 776, 1229, 1136, 304, 5393, 1173, 5488, 848, 609, 520, 3742, 13251, 9775, 552, 6239, 8947, 2130, 12255, 1870, 4993, 1954, 2513, 6083, 4148, 50, 1229, 304, 3428, 516, 769, 304, 609, 3923, 10626, 1297, 529, 6714, 565, 1347, 1089, 2064, 565, 344, 413, 1147, 1929, 1214, 529, 4093, 2657, 1919, 609, 1225, 1315, 362, 223, 4051, 4462, 11055, 50, 381, 2058, 565, 2606, 9793, 356, 9695, 42, 1138, 2160, 565, 4047, 1085, 823, 2196, 249, 609, 9775, 142, 494, 2560, 4911, 38, 529, 5393, 1173, 5731, 565, 1173, 5731, 2196, 1115, 142, 214, 15574, 2326, 1297, 788, 9304, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
decay one dimensional generalized improved boussinesq equation consider decay problem generalized improved regularized boussinesq model power type nonlinearity modification originally ill posed shallow water wave model derived boussinesq equation extensively studied literature describing plenty interesting behavior global existence space existence super luminal soliton lack standard stability method describe perturbation soliton associated decay problem studied liu recently cho ozawa showing scattering weighted space provided power nonlinearity sufficiently large paper remove condition power prove decay zero term energy space norm two almost complementary regime outside light cone small bounded time solution ii decay compact set arbitrarily large bounded time solution proof consists finding two new virial type estimate one exterior cone problem based energy solution subtle virial identity interior cone problem based modification momentum
1
554,407
[ 2, 1552, 401, 673, 1582, 2023, 13251, 552, 520, 1552, 304, 1582, 2023, 4515, 13251, 142, 716, 654, 5505, 3397, 6648, 3229, 4093, 5414, 2767, 713, 142, 1712, 13251, 552, 5118, 1590, 1810, 3706, 15997, 2547, 1017, 1297, 1666, 410, 1666, 477, 2894, 61, 3768, 2532, 974, 1557, 210, 1734, 1723, 3768, 1187, 1552, 304, 1590, 12229, 1305, 1750, 12798, 6270, 2705, 1661, 2456, 410, 2082, 716, 5505, 3566, 506, 362, 5261, 587, 716, 900, 1552, 1362, 612, 470, 410, 1053, 312, 2460, 4229, 1526, 4789, 1003, 3946, 762, 2010, 290, 533, 1465, 1552, 1690, 376, 4896, 506, 2010, 290, 533, 1689, 2834, 1545, 312, 385, 9607, 654, 999, 401, 8104, 3946, 304, 250, 470, 533, 7508, 9607, 3199, 5014, 3946, 304, 250, 3397, 1772, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
reply early onset phenotype bi allelomorphic grn mutation would like reply neuray et al report serial five fresh patient role four unrelated syndicate bi allelic genetic mutation grn work nicely completes existing report similar case refers recent publication describe captain hick homozygous grn morbific variant flattop divergent phenotype age onset huin et al summary letter neuray et al theme valuable find lead better define cln due bi allelic grn pathogenic variant despite small sample phone number allow statistical analysis generator underlined occurrence cognitive deterioration epilepsy study cln family operative brain image neuropsychological examination crataegus oxycantha highly informative understanding clinical word painting rare disease
5
1,008,692
[ 2, 14709, 2467, 5588, 10730, 817, 4723, 1630, 17650, 12683, 33, 1994, 39, 6716, 2274, 1079, 14709, 3462, 203, 1623, 128, 1439, 9765, 3201, 8667, 2708, 1574, 1249, 11302, 12254, 5286, 817, 4723, 1394, 5178, 6716, 1994, 39, 431, 17625, 14559, 936, 1439, 960, 516, 8613, 644, 6111, 1734, 3328, 177, 5897, 33, 41, 16747, 7129, 2891, 183, 1994, 39, 4042, 2285, 12277, 33, 2688, 10197, 166, 9385, 10730, 3038, 5588, 4283, 60, 1623, 128, 5209, 5355, 3462, 203, 1623, 128, 9868, 5318, 696, 840, 1251, 2560, 178, 39, 824, 817, 4723, 1394, 1994, 39, 12943, 72, 2688, 2601, 762, 832, 6522, 486, 735, 1558, 494, 2896, 13539, 40, 4970, 4925, 14953, 17219, 352, 178, 39, 1644, 16292, 2773, 488, 4957, 16488, 138, 676, 8791, 9596, 3477, 16388, 32, 5403, 6702, 39, 225, 42, 1752, 5679, 1543, 3288, 1963, 12164, 4354, 2622, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
detecting adversarial example learning enabled cyber physical system using variational autoencoder regression learning enabled component lecs widely used cyber physical system cps since handle uncertainty variability environment increase level autonomy however shown lecs deep neural network dnn robust adversarial example cause model make false prediction paper considers problem efficiently detecting adversarial example lecs used regression cps proposed approach based inductive conformal prediction us regression model based variational autoencoder architecture allows take consideration input neural network prediction detecting adversarial generally distribution example demonstrate method using advanced emergency braking system implemented open source simulator self driving car dnn used estimate distance obstacle simulation result show method effectively detect adversarial example short detection delay
6
1,357,270
[ 2, 3427, 1374, 848, 285, 4446, 4272, 1347, 214, 291, 2332, 4904, 1832, 285, 4446, 1071, 18225, 32, 2342, 522, 4272, 1347, 214, 8895, 1784, 3579, 1451, 3721, 1028, 1376, 712, 10195, 627, 1186, 18225, 32, 562, 549, 256, 2631, 872, 1374, 848, 3001, 142, 1225, 4142, 839, 362, 4708, 304, 2372, 3427, 1374, 848, 18225, 32, 522, 1832, 8895, 459, 338, 250, 6175, 3076, 839, 143, 1832, 142, 250, 2332, 4904, 1091, 1191, 1884, 3828, 983, 549, 256, 839, 3427, 1374, 2946, 555, 848, 717, 210, 291, 3753, 8938, 14908, 214, 2775, 1090, 829, 4625, 1081, 2594, 884, 2631, 522, 999, 1193, 4475, 679, 249, 223, 210, 2760, 2106, 1374, 848, 1491, 791, 2439, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
automated thalamic nucleus segmentation using multi planar cascaded convolutional neural network cascaded multi planar scheme modified residual net architecture used segment thalamic nucleus conventional white matter nulled wmn magnetization prepared rapid gradient echo mprage data single network optimized work image healthy control patient multiple sclerosis m essential tremor et acquired field strength dice similarity coefficient volume similarity index vsi used evaluate performance clinical utility demonstrated applying method study effect m thalamic nucleus atrophy segmentation thalamus twelve nucleus achieved minute wmn mprage proposed method outperforms current state art patient et statistically significant improvement dice five nucleus increase range vsi four nucleus increase range performing comparably healthy m subject dice vsi achieved using wmn mprage data comparable using wmn mprage data conventional mprage proposed method show statistically significant dice improvement range freesurfer nucleus disease type effect noise network performance show robustness image snr low half baseline snr atrophy four thalamic nucleus whole thalamus observed m patient compared healthy control subject controlling effect parallel imaging intracranial volume gender age proposed segmentation method fast accurate performs well across disease type field strength show great potential improving understanding thalamic nucleus involvement neurological disease
6
1,542,453
[ 2, 2935, 149, 17012, 14690, 33, 2993, 1721, 291, 329, 3460, 9533, 1747, 549, 256, 9533, 329, 3460, 903, 2741, 3278, 244, 1091, 522, 3471, 149, 17012, 14690, 33, 2993, 2172, 3554, 1074, 4040, 64, 9507, 39, 4382, 7714, 2522, 1154, 6348, 4718, 11015, 233, 782, 256, 3454, 431, 488, 7396, 561, 2708, 849, 17606, 1181, 9206, 17, 2691, 7435, 65, 1623, 5687, 381, 2126, 8358, 2447, 1624, 2116, 2447, 1901, 18982, 31, 522, 1802, 473, 3288, 3312, 2327, 2709, 210, 352, 610, 17, 149, 17012, 14690, 33, 2993, 372, 13824, 1721, 149, 17012, 13157, 32, 13324, 2993, 2002, 6276, 9507, 39, 4718, 11015, 459, 210, 2113, 845, 314, 930, 2708, 1623, 5273, 779, 1760, 8358, 3201, 2993, 1376, 889, 18982, 31, 1249, 2993, 1376, 889, 3324, 13358, 7396, 17, 2315, 8358, 18982, 31, 2002, 291, 9507, 39, 4718, 11015, 233, 3102, 291, 9507, 39, 4718, 11015, 233, 2172, 4718, 11015, 459, 210, 223, 5273, 779, 8358, 1760, 889, 965, 2129, 12808, 59, 2993, 2622, 654, 610, 1068, 256, 473, 223, 2066, 488, 5646, 485, 3045, 2109, 5646, 372, 13824, 1249, 149, 17012, 14690, 33, 2993, 3317, 149, 17012, 13157, 32, 1059, 17, 2708, 985, 7396, 561, 2315, 4660, 610, 1912, 1909, 9501, 8168, 300, 2116, 5833, 3038, 459, 1721, 210, 1180, 1677, 3717, 529, 1496, 2622, 654, 381, 2126, 223, 1931, 801, 2859, 1543, 149, 17012, 14690, 33, 2993, 14315, 15415, 2622, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
luminousness constraint era preciseness solar physic luminosity restraint precise relationship linking power released sun photon solar neutrino flux relation direct consequence physical process controlling production tape drive vigor solar interior great grandness field solar neutrino particular role hunting neutrino cno wheel whose first detective work import lately announced borexino collaboration revise luminosity constraint discussing validating underlying hypothesis light late solar neutrino luminosity measurement infer current formulation luminosity constraint relation easily used next psychoanalysis solar neutrino data provide specific lotion showing liaison cno pp neutrino flux
16
846,301
[ 2, 7949, 691, 986, 5723, 3235, 691, 2131, 1422, 3336, 1620, 263, 36, 3235, 2175, 7210, 716, 6230, 4034, 1658, 2131, 2018, 2136, 893, 1108, 2736, 1347, 455, 4660, 2155, 16581, 4047, 15486, 65, 2131, 5014, 1931, 7811, 691, 381, 2131, 2018, 756, 1574, 17289, 2018, 5904, 35, 11317, 1857, 499, 2106, 647, 431, 816, 17259, 15725, 16724, 12908, 7541, 4552, 16106, 3336, 986, 8827, 10492, 1924, 2765, 1003, 4482, 2131, 2018, 3336, 852, 2633, 845, 2139, 3336, 986, 893, 3112, 522, 2432, 6509, 8928, 2536, 97, 9206, 2131, 2018, 233, 693, 1255, 5111, 287, 2705, 613, 15914, 58, 5904, 35, 4320, 2018, 2136, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
level track finding fpga arrangement cm hectoliter lhc high luminosity lhc upgrade incorporating go data centimetre level trigger becomes necessary order maintain realizable induction charge per unit good trigger performance eg retain threshold electroweak physic chief challenge level racecourse see face large data throughput sensing element hit rate mhz microsecond latency budget reconstruct charged particle track sufficiently low transverse momentum used level gun trigger determination consecrate fpga hardware system rule time multiplexed architecture develop track finding address challenge algorithm performance pattern recognition particle trajectory determination discussed execution customized electronics commercially available fpgas introduce considerably
17
325,998
[ 2, 712, 1862, 1545, 7870, 6096, 2090, 8423, 2682, 2117, 115, 3599, 298, 3336, 3599, 9087, 4366, 902, 233, 15293, 10407, 712, 3837, 2968, 2446, 452, 2930, 11192, 7780, 1682, 184, 1436, 1860, 3837, 473, 1454, 5114, 2413, 6430, 1422, 9839, 3921, 1136, 712, 8813, 4384, 81, 254, 2956, 2385, 506, 233, 4214, 2835, 1241, 6889, 687, 6410, 16061, 3657, 4923, 3538, 3297, 836, 1862, 3566, 485, 3415, 1772, 522, 712, 13413, 3837, 4267, 6890, 4700, 7870, 2813, 214, 2046, 290, 13833, 1091, 578, 1862, 1545, 1260, 1136, 349, 473, 1412, 1745, 836, 2026, 4267, 2443, 4021, 9516, 7487, 12864, 1192, 12242, 1077, 5996, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
influence relativistic rotation confinementdeconfinement modulation gluodynamics paper believe influence relativistic rotary motion confinementdeconfinement transition gluodynamics within lattice simulation perform model cite frame turn system investigation rotation reduced external gravitational field study confinementdeconfinement transition polyakov loop susceptibility direct various wicket parameter value angular velocity characteristic heavy ion hit experiment different eccentric boundary stipulation open periodic dirichlet imposed direction orthogonal rotation axis rotation data critical temperature comfortably described simple quadratic purpose boundary status lattice parameter used simulation conclude decisive temperature confinementdeconfinement transition gluodynamics step increasing angulate speed conclusion reckon boundary condition use study believe universal property gluodynamics
9
1,793,757
[ 2, 2368, 2662, 2575, 5301, 12659, 58, 3385, 3435, 4083, 9027, 362, 5829, 2368, 2662, 14929, 403, 1367, 5301, 12659, 58, 3385, 908, 4083, 9027, 992, 1276, 679, 347, 142, 5585, 534, 2405, 214, 3111, 2575, 2104, 2513, 1751, 381, 352, 5301, 12659, 58, 3385, 908, 12812, 1984, 5782, 1108, 1002, 14901, 77, 481, 730, 2669, 1621, 1548, 2476, 1710, 6889, 427, 467, 5823, 1107, 4644, 19205, 1423, 1090, 2229, 4615, 5853, 1562, 3099, 2575, 3499, 2575, 233, 1166, 906, 10592, 1626, 2422, 1004, 2642, 2676, 1107, 4857, 1276, 481, 522, 679, 3766, 14277, 906, 5301, 12659, 58, 3385, 908, 4083, 9027, 1228, 1660, 1405, 1773, 1691, 3971, 251, 13091, 39, 1107, 587, 508, 352, 5829, 2363, 559, 4083, 9027, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
lbeca low backdrop electron counting apparatus sub gev dour matter detection two phase baronial liquidness detector large target mass effective background knowledge step currently leading dark subject direct detection wimp people gev due sensitivity single ionized electron signaling detector shown well impregnable constraint hoagie gev dark matter via dot electron fact stringent direct detection constraint hero gev dark matter low mev come noble liquid detector namely xenon darkside xenon xenont although experiment suffer high ground undivided electron level lbeca contrive kg scale liquid atomic number sensor significant reduction single negatron desktop experiment ameliorate sensitivity submarine gev dark matter three ordering magnitude compared current good constraint
17
303,474
[ 2, 8856, 74, 42, 485, 1057, 8267, 1149, 4183, 11220, 389, 3598, 1839, 34, 1074, 791, 312, 584, 2590, 7827, 43, 2493, 691, 1787, 506, 1176, 669, 1013, 1919, 1179, 1228, 3458, 2085, 1397, 2315, 1108, 791, 10075, 3421, 3598, 824, 2307, 782, 8381, 1149, 8210, 1787, 1186, 529, 927, 1976, 2536, 172, 986, 4738, 12678, 38, 3598, 1397, 1074, 864, 4463, 1149, 769, 7537, 1108, 791, 986, 6733, 35, 3598, 1397, 1074, 485, 4016, 3543, 15126, 2493, 1787, 2511, 11020, 1397, 3709, 11020, 13710, 2302, 427, 4374, 298, 1636, 3961, 360, 2692, 1149, 712, 8856, 74, 42, 230, 8319, 6441, 680, 2493, 2671, 486, 1972, 779, 1843, 782, 1554, 18624, 16227, 427, 16550, 103, 2307, 4277, 14519, 38, 3598, 1397, 1074, 776, 4485, 2227, 985, 845, 1860, 986, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
sensitiveness quantum information environment perturbation value non local time order correlational statistic function quantum system rule coupled non markovian environment quantum information may flow scheme measuring quantum information menses sensitivity disruption important better understanding open quantum system implementation quantum technology information get portion quantum system surroundings mean system environment correlation sec grow interaction design nuclear magnetic resonance nmr experiment directly detect evolution sec use second moment distribution natural metric quantifying flow information nd experimentation accounting environs dynamic sketch predisposition shared quantum selective information perturbation environment metrical used case non local clip order correlativity function otoc analyzing decay otoc function sec spread instead development time able demonstrate exponential behavior
13
1,217,389
[ 2, 2607, 691, 406, 545, 1028, 1723, 730, 278, 619, 290, 452, 1138, 61, 2196, 327, 406, 214, 2046, 1828, 278, 5663, 1028, 406, 545, 853, 928, 903, 3835, 406, 545, 9909, 19233, 2307, 7119, 994, 1251, 1543, 1090, 406, 214, 1797, 406, 1958, 545, 3195, 7071, 406, 214, 12634, 823, 214, 1028, 1138, 681, 1315, 719, 618, 2461, 826, 2292, 9316, 427, 1986, 2106, 1085, 681, 508, 937, 1147, 555, 1398, 1093, 6051, 928, 545, 5948, 9341, 5951, 993, 1018, 32, 565, 6262, 5424, 6291, 1210, 3489, 406, 5656, 545, 1723, 1028, 1093, 61, 522, 516, 278, 619, 7905, 452, 856, 5431, 327, 11780, 3519, 1552, 11780, 327, 681, 2853, 2464, 1642, 290, 1728, 717, 2488, 1017, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
solar scheme test new class theory recently new kind theory propose provide dissimilar position development authentic alternative model gravity lagrangian full term reformulated polynomial parameterizations previous study parameter model constrained using cosmological data newspaper model tested observation solar system solving ricci scalar function redshift unrivalled could obtain could used calculate stock parameterized post newtonian ppn parameter firstly set parametric poser latest cosmologic experimental information test performed solar system reflection last combine constraint solar system cosmology unitedly reconstruct action parametric model
11
235,468
[ 2, 2131, 903, 821, 385, 463, 476, 1305, 385, 3251, 476, 537, 693, 9222, 2012, 1642, 6159, 2262, 142, 1870, 3515, 1616, 612, 11844, 1372, 12517, 912, 352, 481, 142, 2421, 291, 2485, 233, 19675, 142, 3209, 972, 2131, 214, 2178, 5857, 1631, 327, 2998, 9349, 6421, 768, 1499, 575, 1499, 522, 2967, 5292, 5021, 1717, 5978, 4320, 39, 481, 5373, 376, 3105, 2731, 34, 6271, 1321, 12949, 982, 545, 821, 2183, 2131, 214, 3910, 2787, 2606, 986, 2131, 214, 4177, 8367, 97, 3538, 1274, 3105, 142, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
first generation new physic simplified model low energy para violation lhc new physic nurse practitioner constraint inaugural generation quark lepton interaction particularly interesting given large identification number complementary process observables measured recently initiative hint np effect mention apparent deficit first row ckm unitarity sleep together cabibbo slant anomaly centimeter excess since np would need enter search low energy conservation parity violation nuclear parity violation para violate negatron scattering coherent neutrino nucleus scattering well electroweak precision observables combined analytic thinking required as viability potential np interpretation article investigate interplay lhc search cabibbo angle anomaly electroweak precision observables low energy para rape studying simplified model give rise tree level effect related interaction first generation quark lepton matching model onto received model effective field possibility derive master formula term respective wilson coefficient perform complete phenomenological analysis useable constraint point parity violation future used disentangle unlike np scenario project constraint realizable forthcoming experiment
14
950,838
[ 2, 499, 1356, 385, 1422, 4980, 142, 485, 470, 8572, 4072, 3599, 385, 1422, 16695, 254, 6261, 986, 83, 17841, 393, 1356, 2269, 4607, 719, 2779, 2547, 812, 506, 2450, 486, 4229, 455, 3622, 2205, 1305, 10870, 7971, 3950, 610, 8931, 6179, 11687, 499, 5931, 15665, 8269, 7984, 2556, 18906, 1450, 150, 2595, 16462, 4546, 1784, 3950, 2274, 1142, 5150, 1106, 485, 470, 4356, 4258, 4072, 2461, 4258, 4072, 8572, 10472, 1554, 18624, 1661, 2609, 2018, 2993, 1661, 529, 6430, 2235, 3622, 2500, 2354, 11259, 2089, 548, 9499, 801, 3950, 2800, 2063, 1190, 4305, 3599, 1106, 18906, 2228, 2595, 6430, 2235, 3622, 485, 470, 8572, 2465, 38, 3535, 4980, 142, 1041, 3248, 1720, 712, 610, 1264, 719, 499, 1356, 2269, 4607, 2288, 142, 4116, 4445, 142, 1013, 381, 2851, 1527, 5645, 1729, 612, 5718, 6598, 1624, 347, 1878, 5973, 494, 508, 195, 986, 563, 4258, 4072, 1387, 522, 9635, 3564, 3950, 1296, 2487, 986, 11192, 12340, 427, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
generalized haus master equation model mode locked class laser use asymptotic technique germinate generalized version class haus fond differential par mode mesh model account slow amplification response averaged note value field intensity fast gain dynamic shell comparable pulse length show unlike schematic class haus modal value lock model model able describe throw unstableness fundamental style locked regime besides leading edge instability leading harmonised mode locked regime gain pump power
12
743,383
[ 2, 1582, 6023, 5645, 552, 142, 1082, 9737, 463, 2361, 508, 1342, 703, 12168, 10762, 1582, 1904, 463, 6023, 3748, 39, 40, 1493, 165, 1082, 3453, 142, 1948, 2563, 6530, 1601, 5172, 3089, 730, 381, 2947, 1180, 2146, 565, 3583, 3102, 2897, 1698, 223, 3564, 9282, 100, 463, 6023, 3840, 730, 5441, 142, 142, 1728, 1734, 18172, 4359, 691, 1708, 3725, 9737, 1526, 3923, 2085, 1226, 2713, 2085, 14985, 879, 1082, 9737, 1526, 2146, 5972, 716, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
lasso hierarchical polynomial model polynomial regression model divisibility condition implicit polynomial hierarchy give way natural construction constraint model parameter use principle derive version strong weak hierarchy extend existing work literature moment concerned model degree two discus estimate parameter lasso using standard quadratic programming technique apply proposal simulated data example literature proposed methodology compare favorably existing technique term low validation error model size
6
1,513,947
[ 2, 6693, 2850, 1372, 142, 1372, 1832, 142, 16026, 587, 3284, 1372, 3865, 1041, 1024, 1398, 1793, 986, 142, 481, 508, 1779, 1527, 1904, 788, 1207, 3865, 971, 936, 431, 1810, 1147, 6393, 142, 1402, 312, 883, 999, 481, 6693, 291, 974, 2642, 2710, 703, 1780, 3765, 2803, 233, 848, 1810, 459, 2530, 1845, 10078, 936, 703, 612, 485, 3596, 857, 142, 918, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
precession timelike bound orbit kerr spacetime astrometric observation star furnish unique opportunity investigation nature sagittarius sgr scene go important understand nature behavior timelike bound trajectory subatomic particle around massive central aim known whereas schwarzschild black hole allow minus precedency star naked singularity spacetimes intromit positive well minus precession bandaged timelike orbit context study perihelion precedence test particle kerr spacetime geometry considering approximation investigate whether timelike bound orbit test particle kerr spacetime negative precedency paper consider downhearted type timelike equatorial orbit consideration find kerr spacetimes negative precession timelike bound orbital cavity allowed
11
212,063
[ 2, 7996, 11312, 451, 1430, 5079, 3426, 10203, 972, 706, 16378, 2326, 3711, 3111, 2014, 17232, 9117, 2866, 902, 994, 1121, 2014, 1017, 11312, 451, 2026, 389, 8376, 836, 1926, 2030, 1905, 1484, 886, 3589, 6597, 1161, 1196, 735, 11807, 13613, 479, 706, 13789, 3012, 6016, 643, 2435, 1629, 529, 11807, 7996, 1075, 3641, 11312, 1430, 1115, 352, 14545, 13613, 162, 821, 836, 5079, 3426, 1583, 2462, 1056, 1190, 2252, 11312, 451, 1430, 821, 836, 5079, 3426, 2221, 13613, 479, 362, 520, 3071, 2749, 16189, 654, 11312, 10018, 1430, 3828, 696, 5079, 6016, 2221, 7996, 11312, 451, 2693, 3057, 4092, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
low impulse interaction ultracold fermi gas consider two element fermi gas inter group communication interaction bcs regime one point accumulation start estimate many body effect depend short space gamy momentum cathartic encoded wave scattering length impulse scale order enrico fermi momentum work effective low momentum interaction reproduce scattering phase shift striking fundamental interaction momentum cutoff inspired late success method nuclear structure theory function interaction describe equation province fermi gas framework hartree fock bogliubov theory perturbative correction bcs authority range shortcut obtain fully converged result near unitarity intersection yet reached obtain promising result earth state energy close experimental limitation possible extension service access talk
14
947,373
[ 2, 485, 8959, 719, 7206, 3051, 1632, 520, 312, 1241, 3051, 1632, 206, 657, 1313, 719, 9470, 1526, 401, 563, 7933, 3889, 999, 731, 1577, 610, 626, 1491, 410, 1279, 50, 1772, 10351, 4830, 5104, 713, 1661, 1698, 8959, 680, 452, 145, 309, 35, 3051, 1772, 431, 1013, 485, 1772, 719, 4720, 1661, 584, 2339, 7557, 1708, 719, 1772, 7072, 2928, 4482, 1599, 210, 2461, 497, 476, 327, 719, 1734, 552, 16884, 3051, 1632, 609, 9002, 6482, 8193, 2117, 9853, 476, 4011, 2303, 9470, 10429, 889, 12026, 575, 1771, 14511, 249, 1027, 8269, 3702, 2334, 6366, 575, 2312, 249, 3064, 314, 470, 2247, 982, 2753, 1117, 1900, 2384, 2083, 8900, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
scheduling algorithm network mid haul capacity constraint consider virtualized ran architecture network remote unit connected central unit via mid haul support high data rate midhaul realized passive optical network pon architecture data stored central unit scheduler decides transmit mid haul appropriate remote unit air slot study optimal scheduling problem arises context problem two key feature first multiple cell must scheduled simultaneously efficient operation second interplay time varying wireless interface rate fixed capacity pon need handled efficiently paper take comprehensive look resource allocation problem formulating utility maximization problem using combinatorial technique derive useful structural property optimal allocation utilize result design polynomial time approximation algorithm pseudopolynomial time optimal algorithm finally numerically compare performance proposed algorithm heuristic natural generalization ubiquitous proportional fair algorithm
1
579,669
[ 2, 4175, 349, 256, 3683, 5858, 88, 2528, 986, 520, 3242, 422, 3575, 1091, 256, 4643, 1436, 2137, 1905, 1436, 864, 3683, 5858, 88, 1393, 298, 233, 687, 3683, 11832, 4276, 5127, 1195, 256, 305, 39, 1091, 233, 6628, 1905, 1436, 11555, 13707, 3884, 3683, 5858, 88, 2955, 4643, 1436, 3254, 7095, 352, 819, 4175, 304, 4530, 1115, 304, 312, 1231, 571, 499, 849, 1395, 2618, 12441, 2581, 790, 1837, 937, 4305, 290, 2566, 2827, 2184, 687, 1650, 2528, 305, 39, 1142, 10912, 2372, 362, 1884, 3100, 4146, 1655, 3286, 304, 9754, 3312, 4900, 304, 291, 3478, 703, 1527, 2094, 2287, 559, 819, 3286, 3951, 249, 618, 1372, 290, 1056, 349, 15686, 15781, 290, 819, 349, 1157, 3138, 1845, 473, 459, 349, 3594, 1398, 1781, 5459, 4649, 2635, 349, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
construction paul adrien maurice dirac spinors electron vortex beam background electromagnetic field exact solution dirac equation system tetrad partial differential equivalence rare vast majority highly symmetric stationary system moreover handful solution time dependent dynamic exists give growing issue application high energy department negatron beam interacting variety quantum system laser field novel method finding exact answer dirac equivalence called present method building solution dirac equation employing recently introduced approach description spinorial field driving electromagnetic field honor term geometric algebra illustrate method get respective stationary well non stationary solution dirac equation well defined orbital angulate momentum along electron propagation direction first set solution describe gratis negatron electron beam term bessel function well stationary result homogenous nonuniform magnetised field second set solution new involve plane electromagnetic wave compound generally inhomogeneous longitudinal magnetic field moreover developed proficiency allows derive general physical dimension dynamic field configuration well provides physical prediction ego consistent electromagnetic field induce dynamic
13
1,293,657
[ 2, 1793, 15116, 198, 118, 62, 157, 11939, 95, 2937, 12650, 1149, 3240, 1786, 1919, 3068, 381, 1487, 533, 2937, 552, 214, 16911, 2170, 1493, 3314, 4354, 5563, 4605, 1752, 1879, 2794, 214, 1415, 13075, 533, 290, 1521, 565, 3030, 1041, 3672, 1737, 542, 298, 470, 13276, 1554, 18624, 1786, 2571, 1683, 406, 214, 2361, 381, 758, 210, 1545, 1487, 2874, 2937, 3314, 1357, 415, 210, 2540, 533, 2937, 552, 4039, 1305, 1847, 338, 2045, 8389, 300, 381, 2594, 3068, 381, 10743, 65, 612, 1987, 877, 2495, 210, 3195, 5718, 2794, 529, 278, 2794, 533, 2937, 552, 529, 1613, 2693, 1405, 1773, 1772, 1622, 1149, 2504, 1562, 499, 376, 533, 1734, 281, 5442, 1554, 18624, 1149, 1786, 612, 9251, 327, 529, 2794, 249, 15164, 11483, 19792, 381, 937, 376, 533, 385, 4979, 1954, 3068, 713, 4132, 2946, 5044, 4627, 826, 381, 1415, 1502, 1777, 1302, 1191, 1527, 421, 1347, 443, 565, 381, 1932, 529, 1220, 1347, 839, 10913, 1460, 3068, 381, 5048, 565, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
data driven deep learning design pilot channel estimator massive mimo paper propose data driven deep learning dl approach jointly design pilot signal channel estimator wideband massive multiple input multiple output mimo system exploiting angular domain compressibility massive mimo channel conceived dl framework reliably reconstruct high dimensional channel determined measurement specifically design end end deep neural network dnn architecture composed dimensionality reduction network reconstruction network respectively mimic pilot signal channel estimator acquired data driven deep learning dimensionality reduction network design fully connected layer compressing high dimensional massive mimo channel vector input low dimensional received measurement weight regarded pilot signal reconstruction network design fully connected layer followed multiple cascaded convolutional layer reconstruct high dimensional channel output defining mean square error input output loss function leverage adam algorithm train end end dnn aforementioned extensive channel sample way pilot signal channel estimator simultaneously obtained simulation result demonstrate superiority proposed solution state art compressive sensing approach
1
591,477
[ 2, 233, 1457, 562, 285, 618, 6834, 1062, 1951, 2030, 4081, 362, 537, 233, 1457, 562, 285, 3899, 338, 3697, 618, 6834, 901, 1062, 1951, 11581, 2030, 849, 983, 849, 1633, 4081, 214, 3646, 2669, 749, 12146, 2030, 4081, 1062, 15842, 3899, 609, 6749, 3538, 298, 673, 1062, 2526, 852, 1855, 618, 904, 904, 562, 549, 256, 2631, 1091, 4187, 4130, 1843, 256, 2017, 256, 1853, 5475, 6834, 901, 1062, 1951, 5687, 233, 1457, 562, 285, 4130, 1843, 256, 618, 1771, 2137, 975, 11918, 298, 673, 2030, 4081, 1062, 1134, 983, 485, 673, 4445, 852, 1152, 6833, 6834, 901, 2017, 256, 618, 1771, 2137, 975, 4478, 849, 9533, 1747, 975, 3538, 298, 673, 1062, 1633, 4922, 823, 2187, 857, 983, 1633, 1097, 327, 2906, 8587, 349, 442, 904, 904, 2631, 6370, 2095, 1062, 832, 1024, 6834, 901, 1062, 1951, 2581, 970, 679, 249, 717, 5758, 459, 533, 314, 930, 7326, 2835, 338, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
event shape numerosity dependence hoar radius pp hit tev two particle correlation high pitched vigour hit experiment enable extraction molecule rootage radius using bose einstein enhancement pi meson production low relative impulse previously note hit tev mediocre pair transverse impulse range depth psychological science fix imputable orotund background correlativity attributed mini jet phenomenon investigate event shape dependent analysis bose einstein correlativity pi meson pair performed work categorizing case transverse sphericity spherical like event method evolve give determination source roll spoke much larger value inaugural time spheric event demonstrate fiddling background coefficient correlation jet like effect dominated observation agrees hypothesis miniskirt squirt stock non femtoscopic background coefficient correlation give unexampled insight physic version dependence radius emission source size globular effect show substantially lessen dependence special similar event show indication negative trend regard highest multiplicity event regarding emission source human body correlation function event sphericity class show good agreement exponential shape rather gaussian one
16
856,848
[ 2, 1170, 1761, 722, 2395, 1991, 4738, 66, 2440, 4320, 6889, 4210, 312, 836, 1138, 298, 7700, 64, 15486, 371, 6889, 427, 2769, 3059, 2570, 3257, 215, 2440, 291, 4705, 2982, 3066, 3479, 4073, 2155, 485, 1946, 8959, 2240, 3089, 6889, 4210, 1559, 163, 114, 1140, 3415, 8959, 889, 2220, 11314, 2430, 1464, 8071, 195, 266, 148, 554, 1919, 856, 5431, 5762, 5854, 2580, 1981, 1190, 1170, 1761, 1521, 494, 4705, 2982, 856, 5431, 3479, 4073, 1140, 2183, 431, 3967, 1007, 516, 3415, 2920, 3225, 3569, 1079, 1170, 210, 6036, 1041, 4267, 829, 6661, 7945, 526, 1804, 2076, 730, 83, 17841, 393, 290, 2920, 72, 1170, 717, 3481, 14610, 70, 1919, 1624, 1138, 2580, 1079, 610, 3995, 972, 7948, 2765, 5854, 15775, 1790, 12884, 5292, 278, 8850, 6529, 1919, 1624, 1138, 1041, 4790, 10469, 2251, 1422, 1904, 1991, 2440, 1645, 829, 918, 7040, 610, 223, 4389, 8134, 62, 1991, 1846, 960, 1170, 223, 8840, 2221, 3520, 2475, 4507, 4897, 1170, 3880, 1645, 829, 1047, 1577, 1138, 327, 1170, 2920, 3225, 463, 223, 1860, 2626, 2488, 1761, 2728, 1476, 401, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
flavor decomposition nucleon unpolarized helicity transversity parton dispersion use latticework qcd simulation present result quark unpolarized helicity transversity parton distribution function nucleon utilisation quasi parton dispersion feeler within lattice qcd framework perform computation utilise ensemble twisted lot fermion strange spell quark pile tuned close physical value light quark pot impart pion mass mev usance hierarchal excavation evaluate disconnected quark eyelet discus designation ground body politic authorisation blue jean baptiste chief joseph fourier transform procedure convergence momentum boost find non zero consequence disconnect isoscalar foreign quark dispersion determination quark parton statistical distribution picky strange quark donation poorly know render worthful input structure nucleon
19
408,959
[ 2, 4154, 2246, 4376, 12742, 7123, 15869, 104, 5905, 3174, 508, 1276, 192, 3072, 679, 415, 249, 2269, 12742, 7123, 15869, 104, 5905, 555, 327, 4376, 1311, 2105, 2119, 5905, 3174, 13715, 59, 992, 1276, 3072, 609, 347, 1189, 14904, 2186, 4068, 5111, 2306, 7208, 837, 7270, 2269, 12534, 4697, 2247, 1347, 730, 1003, 2269, 707, 927, 1908, 4722, 669, 4016, 13880, 15843, 38, 2087, 61, 1009, 9405, 63, 1802, 10316, 2269, 5753, 2704, 883, 618, 75, 1636, 1577, 19633, 2953, 2105, 6252, 15948, 5575, 518, 521, 38, 9839, 3921, 6548, 229, 3287, 1492, 1898, 1298, 1772, 4239, 696, 278, 1362, 2736, 3761, 11660, 16375, 13469, 2269, 3174, 4267, 2269, 5905, 1558, 555, 7669, 50, 7208, 2269, 7400, 75, 5999, 567, 4407, 9460, 789, 983, 497, 4376, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
persistence power law correlation nonequilibrium steady state gapped quantum spin chain beingness quasi long range ordering demonstrated nonequilibrium steady state isotropic spin chain including two type additional term generate gap vigor spectrum organisation driven equilibrium initializing field wall magnetization profile application international magnetic theatre operation alternate charismatic field battle time energy gap spark energy col produced either applying staggered magnetic field direction introducing transition coupling magnetization spin current twist spin correlation affair computed analytically thermodynamic limitation long clip quench case system find persistency power law correlation despite ground state correlation function display exponential decay
13
1,223,596
[ 2, 6436, 716, 1746, 1138, 6281, 3623, 314, 7049, 406, 740, 1882, 17393, 691, 2119, 891, 889, 4485, 2327, 6281, 3623, 314, 4518, 740, 1882, 995, 312, 654, 1854, 612, 1941, 1571, 15486, 65, 978, 12925, 1457, 1726, 1352, 1007, 381, 3129, 4382, 2379, 542, 6590, 826, 311, 67, 114, 1837, 9262, 466, 645, 593, 381, 17963, 290, 470, 1571, 10200, 470, 475, 2943, 1896, 2709, 9752, 826, 381, 1562, 3632, 908, 1183, 4382, 740, 845, 3044, 740, 1138, 1383, 3904, 2852, 4147, 2788, 2753, 891, 7905, 4113, 516, 214, 696, 3571, 479, 716, 1746, 1138, 2601, 1636, 314, 1138, 327, 3926, 2488, 1552, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
response shuryaks comment three regime qcd recent comment shuryak reiterates former unfortunately misleading argument favor deconfined quark gluon plasma qgp straightaway chiral restoration pseudocritical temperature scuttlebutt give view qcd high temperature savoir faire even mention essence debate recent class newfangled obscure symmetry qcd get wind symmetry electric sphere quantum chromodynamics higher chiral symmetry qcd lagrangian whole symmetry clearly respect tc spacial correlators late besides time correlators latter correlators directly subsume evident ghostlike density manikin independent mode conclude stage exemption quantum chromodynamics tc roughly tc chirally symmetric quark bound chromoelectric field procedure colour singlet chemical compound without chromomagnetic burden governance quantum chromodynamics refer stringy fluid since object reminiscent stringsat higher temperature bland transition partonic degree exemption ie qgp regime address compass point made shuryak
19
415,887
[ 2, 1601, 155, 5898, 19846, 4895, 776, 1526, 3072, 644, 4895, 155, 5898, 383, 110, 1094, 763, 4753, 5725, 11815, 3306, 4561, 13109, 2269, 4679, 2574, 11354, 4449, 10324, 2687, 7408, 12407, 8080, 906, 218, 134, 15721, 8525, 7140, 1041, 1541, 3072, 298, 906, 13301, 5135, 2635, 38, 1040, 8931, 10590, 8016, 644, 463, 385, 14551, 10940, 40, 16894, 1078, 3072, 3195, 2242, 1078, 2253, 3018, 406, 11736, 1084, 2687, 1078, 3072, 3515, 3317, 1078, 5383, 1785, 5368, 5291, 300, 7553, 4482, 3923, 290, 7553, 2679, 7553, 1986, 14726, 38, 10702, 7683, 3310, 784, 398, 3936, 60, 1312, 1082, 3766, 2031, 6751, 658, 406, 11736, 5368, 6266, 5368, 2687, 97, 1879, 2269, 451, 4735, 5191, 381, 1898, 5216, 5715, 2531, 4132, 973, 4735, 15637, 7420, 13799, 406, 11736, 3344, 17479, 2130, 1784, 934, 10505, 2470, 13543, 1084, 906, 604, 193, 908, 14806, 1402, 6751, 658, 1273, 11354, 1526, 1260, 16745, 563, 2219, 155, 5898, 383, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
relativistic hydrodynamic fluctuation present ecumenical systematic formalism describing dynamic fluctuation arbitrary relativistic hydrodynamic flow including feedback known longsighted sentence hydrodynamic part fluctuation described deuce point equal sentence correlation function introduce definition adequate time situation local rest frame determined local flow velocity method acting taking derivative eugene wigner transforms equal time coefficient correlation use call confluent feel equation confluent wigner function resemble kinetic par kinetic equivalence phonons propagating arbitrary backdrop nontrivially match equation eugene paul wigner function let relativistic inertial coriolis force due speedup vorticity flow also describe operation renormalization myopic space singularity eliminates cutoff dependence allowing efficient numeric execution equation
14
964,521
[ 2, 2662, 3512, 2160, 415, 1966, 1971, 14064, 61, 2202, 3091, 3706, 565, 2160, 1891, 2662, 3512, 928, 995, 2349, 886, 891, 12073, 64, 3472, 3512, 1229, 2160, 2422, 139, 589, 563, 2907, 3472, 1138, 327, 1077, 3017, 7821, 290, 3055, 619, 1620, 534, 2526, 619, 928, 1621, 210, 5136, 2960, 2790, 4300, 2614, 38, 6108, 5569, 2907, 290, 1624, 1138, 508, 1052, 15910, 13715, 552, 15910, 6108, 327, 10510, 2868, 165, 2868, 3314, 6934, 5657, 1891, 1057, 8267, 4780, 97, 2780, 552, 4300, 2614, 38, 15116, 6108, 327, 2122, 2662, 5447, 18039, 2058, 824, 5746, 7629, 928, 364, 1734, 1837, 4349, 16683, 410, 3012, 10153, 7072, 1991, 2936, 790, 12380, 4021, 552, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
nambu goldstone mode non equilibrium system adscft proportionateness investigate dispersion relation nambu goldstone style dissipative system realized adscft correspondence employ dd model represents supersymmetric yang james mill theory coupled smell field consider massless quark presence external magnetized field system exhibit phase transition associated spontaneous symmetry divulge chiral balance find nambu goldstone mode show diffusive behavior dispersion relation agrees found effective theatre theory approach also learn non equilibrium steady united state department state constant current flow presence external electric field non equilibrium stiff state find nambu goldstone mode show linear dispersion real part frequency plus diffusive behavior analyze one dimensional dispersion nambu goldstone mode hydrodynamic approximation result find additive dispersion written analytical function quantity double field honor hypothesis result imply analog dissemination characteristic conduct nambu goldstone mode non equilibrium steady state
9
1,738,679
[ 2, 10185, 9288, 1082, 278, 1726, 214, 11512, 3592, 17539, 1190, 3174, 893, 10185, 9288, 3725, 4887, 214, 4276, 11512, 3437, 1550, 5110, 142, 4221, 5400, 4662, 13939, 2427, 476, 1828, 15008, 381, 520, 5389, 2269, 1591, 2513, 7499, 381, 214, 1835, 584, 908, 1187, 4063, 1078, 15154, 88, 112, 2687, 3859, 696, 10185, 9288, 1082, 223, 6267, 1017, 3174, 893, 7948, 1088, 1013, 311, 67, 114, 476, 338, 364, 234, 278, 1726, 3623, 8367, 314, 13276, 314, 1269, 845, 928, 1591, 2513, 2253, 381, 278, 1726, 5997, 314, 696, 10185, 9288, 1082, 223, 617, 3174, 495, 1229, 1029, 5504, 6267, 1017, 1849, 401, 673, 3174, 10185, 9288, 1082, 3512, 1056, 249, 696, 3906, 3174, 5056, 2428, 327, 2797, 2377, 381, 10743, 65, 2765, 249, 5675, 2073, 13343, 1548, 2040, 10185, 9288, 1082, 278, 1726, 3623, 314, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
probing rule three body charm decay cp ravishment charm decomposition detect decay meson pseudoscalars interpreted within sm result imply proportion relevant rescattering amplitude order magnitude phase discus agency probe interchangeable ratio decay vector disintegrate two pseudoscalars dalitz plot ground psychoanalysis time integrated three consistency decay compare two body decay three body decay advantage pure organization solve without need fourth dimension dependent cp violation measurement economic consumption correlated production discus decay example considering toy model overlap charged resonance treating underlying pseudo two organic structure decompose full generality
17
389,616
[ 2, 5328, 2046, 776, 1577, 5786, 1552, 3281, 667, 4291, 6600, 78, 5786, 2246, 2106, 1552, 4073, 10223, 32, 4850, 992, 487, 249, 5675, 3592, 1980, 7566, 15354, 2233, 452, 2227, 584, 883, 10037, 2634, 14252, 195, 1467, 1552, 1134, 217, 8787, 4700, 312, 10223, 32, 13602, 4030, 6903, 1636, 6509, 8928, 2536, 97, 9206, 290, 2764, 776, 3165, 1552, 1845, 312, 1577, 1552, 776, 1577, 1552, 2051, 3456, 4770, 1925, 973, 1142, 6445, 443, 1521, 3281, 4072, 852, 4252, 3694, 2842, 2155, 883, 1552, 848, 2462, 7544, 142, 3745, 3297, 2292, 8552, 1924, 3270, 312, 5768, 497, 8508, 1616, 7848, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
weakly boundary dibaryon su flavour symmetrical qcd nowadays first determination binding vitality dibaryon continuum limitation lattice quantum chromodynamics calculation perform cinque value lattice spacing employ improved wilson fermion su symmetric grasp point mev energy level extracted practice variational method acting correlativity intercellular substance bilocal deuce baryon interpolating hustler cypher use distillation proficiency analysis employ luschers finite volume quantization circumstance determine scattering phase shift spectrum vice versa two sound particle threshold perform global fit lattice spectrum use parametrizations phase shift supplemented full terminal figure describing discretization force extrapolate lattice space zero stage transmutation binding vigor fix discover powerfully moved lattice artefact appraisal hold fast energy continuum limit threesome look quantum chromodynamics mev
19
425,837
[ 2, 3313, 1107, 18111, 58, 158, 7521, 15129, 3072, 8054, 499, 4267, 4610, 6461, 104, 18111, 58, 3269, 2753, 1276, 406, 11736, 1672, 347, 17647, 544, 730, 1276, 7182, 1550, 2023, 6598, 2306, 158, 1879, 7631, 563, 4016, 470, 712, 3404, 2686, 2332, 210, 5136, 856, 5431, 19262, 9590, 13687, 3474, 3228, 139, 589, 3941, 9739, 19870, 15721, 34, 1254, 6203, 508, 5202, 1777, 1302, 494, 1550, 11002, 10877, 32, 834, 2116, 3399, 9070, 1988, 1661, 584, 2339, 978, 9421, 9599, 312, 3162, 836, 2413, 347, 1297, 1814, 1276, 978, 508, 13552, 584, 2339, 12217, 1616, 6120, 7547, 3706, 4041, 2058, 12847, 1276, 410, 1362, 2031, 1595, 3584, 4610, 15486, 65, 1464, 1806, 3039, 97, 14521, 1276, 11386, 19602, 2660, 1180, 470, 3269, 625, 776, 339, 9811, 4146, 406, 11736, 4016, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
data monitoring committee clinical trial evaluating treatment covid first case coronavirus disease covid reported december outbreak sars cov declared pandemic march world health organization sparked plethora investigation diagnostics vaccination sars cov well treatment covid since covid severe disease associated high mortality clinical trial disease monitored data monitoring committee dmc also known data safety monitoring board dsmb dmcs indication face number challenge including fast recruitment requiring unusually high frequency safety review frequent use complex design virtually prior experience disease paper provide perspective work dmcs clinical trial treatment covid specifically discus organizational aspect setting running dmcs covid trial particular trial complex design platform trial adaptive design furthermore statistical aspect monitoring clinical trial treatment covid considered recommendation made regarding presentation data stopping rule safety monitoring use external data proposed stopping boundary assessed simulation study motivated clinical trial covid
5
1,097,896
[ 2, 233, 3353, 12757, 3288, 4964, 4160, 2506, 2222, 499, 516, 7299, 2622, 2222, 2987, 12801, 6791, 7042, 4452, 19367, 4149, 9332, 1258, 2499, 4770, 19548, 10452, 3111, 8553, 10815, 7042, 4452, 529, 2506, 2222, 1784, 2222, 5708, 2622, 1187, 298, 7602, 3288, 4964, 2622, 9876, 233, 3353, 12757, 18950, 364, 886, 233, 3238, 3353, 6633, 15111, 51, 18950, 32, 8840, 2385, 486, 1136, 995, 1180, 16256, 4167, 15134, 298, 1029, 3238, 1977, 7431, 508, 586, 618, 8911, 1388, 3401, 2622, 362, 693, 2452, 431, 18950, 32, 3288, 4964, 2506, 2222, 1855, 883, 14008, 2346, 1163, 4022, 18950, 32, 2222, 4964, 756, 4964, 586, 618, 2145, 4964, 1917, 618, 1518, 1558, 2346, 3353, 3288, 4964, 2506, 2222, 1657, 3085, 2219, 3880, 6303, 233, 6767, 2046, 3238, 3353, 508, 2513, 233, 459, 6767, 1107, 7088, 679, 352, 2808, 3288, 4964, 2222, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
holographical quantum undertaking input output area quantum task quantum computation input output occurring specified spacetime localisation considering task context adscft head novel constraint relating bulk geometry boundary entanglement clause consider task input output encode protracted spacetime region rather pointedness antecedently look show lead stronger restraint derived point based setting particular better connected sub theorem appearing beginning finding larger bulk realm whose existence implies big boundary correlation substantially show consider extended input end product part principal non trivial statement poincare ad setting point based connected wedge theorem always trivial
9
1,794,690
[ 2, 4595, 61, 406, 10921, 9018, 983, 1633, 1589, 406, 546, 406, 1189, 983, 1633, 6322, 4953, 3426, 9629, 2462, 546, 1115, 11512, 4184, 758, 986, 6654, 2564, 1583, 1107, 2308, 11126, 520, 546, 983, 1633, 5255, 855, 12729, 3426, 977, 2728, 8708, 691, 3449, 5506, 2128, 4146, 223, 840, 4631, 1620, 263, 36, 1712, 563, 250, 1163, 756, 1251, 2137, 389, 1396, 7389, 7877, 1545, 2076, 2564, 10362, 1857, 1666, 3503, 3315, 1107, 1138, 4389, 223, 520, 1979, 983, 904, 1568, 1229, 3893, 278, 2867, 5516, 5859, 198, 1163, 563, 250, 2137, 9539, 1396, 3176, 2867, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
detection prediction cardiac anomaly using wireless body sensor bayesian belief network intricating cardiac complexity primary factor associated healthcare cost highest cause death rate world however preventive measure like early detection cardiac anomaly prevent severe cardiovascular arrest varying complexity impose substantial impact healthcare cost encountering scenario usually electrocardiogram ecg ekg first diagnostic choice medical practitioner clinical staff measure electrical muscular fitness individual heart paper present system capable reading recorded ecg predict cardiac anomaly without intervention human expert paper purpose algorithm read perform analysis electrocardiogram datasets proposed architecture us discrete wavelet transform dwt first place perform preprocessing ecg data followed undecimated wavelet transform uwt extract nine relevant feature high interest cardiologist probabilistic mode named bayesian network classifier trained using extracted nine parameter ucl arrhythmia dataset proposed system classifies recorded heartbeat four class using bayesian network classifier tukeys box analysis four class prediction heartbeat normal beat premature ventricular contraction pvc premature atrial contraction pac myocardial infarction result experimental setup depict proposed system achieved average accuracy pac mi pvc average error rate pac mi pvc real electrocardiogram datasets including physionet european st database edb
0
86,595
[ 2, 791, 839, 8039, 2595, 291, 2827, 1577, 1972, 1920, 5090, 256, 9004, 413, 8039, 1223, 3463, 955, 1187, 5553, 1103, 4507, 3001, 5818, 687, 1258, 627, 16530, 949, 1079, 2467, 791, 8039, 2595, 4424, 5708, 12865, 19535, 2566, 1223, 7437, 4302, 1485, 5553, 1103, 4874, 70, 1296, 2755, 15484, 8277, 15421, 47, 499, 4809, 2273, 2791, 6261, 3288, 15916, 949, 4188, 3161, 15338, 66, 8093, 1570, 5737, 362, 415, 214, 3194, 6163, 5548, 8277, 1480, 8039, 2595, 973, 4511, 1047, 3245, 362, 2676, 349, 3746, 347, 494, 15484, 1037, 459, 1091, 143, 1596, 6122, 1492, 8934, 36, 499, 3249, 347, 7362, 8277, 233, 4478, 10734, 12224, 6122, 1492, 25, 13804, 1890, 7861, 1980, 571, 298, 1640, 6357, 6569, 2568, 1082, 3819, 1920, 256, 2177, 1318, 291, 3404, 7861, 481, 8337, 43, 18638, 608, 459, 214, 11656, 5548, 18285, 1249, 463, 291, 1920, 256, 2177, 6843, 10480, 32, 2768, 494, 1249, 463, 839, 18285, 1572, 8738, 7866, 292, 18416, 5692, 7448, 33, 7866, 292, 372, 3359, 5692, 7092, 16367, 796, 14159, 63, 249, 982, 3405, 13325, 459, 214, 2002, 1611, 865, 7092, 2603, 7448, 33, 1611, 857, 687, 7092, 2603, 7448, 33, 495, 15484, 1037, 995, 7580, 15407, 7234, 92, 3134, 1022, 51, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
cost information build axiomatic possibility information acquisition capture idea constant marginal price information production cost generating two sovereign signal total cost generating signal chance one half cost half original cost together blackwell monotonicity continuity condition maxim determine cost signal transmitter parameter argument clear economical rendering determine trouble tell apart state argue price function versatile modeling tool lead realistic prediction mutual information
18
1,632,634
[ 2, 1103, 545, 2655, 12827, 2851, 545, 4619, 2052, 2399, 1269, 4344, 3377, 545, 2155, 1103, 2559, 312, 1294, 126, 38, 248, 901, 1876, 1103, 2559, 901, 7255, 401, 3045, 1103, 3045, 2167, 1103, 2556, 1161, 4364, 7462, 5611, 587, 942, 1988, 1103, 901, 6574, 481, 3306, 2905, 15048, 6538, 1988, 19753, 80, 9148, 7000, 314, 3475, 3377, 327, 6774, 1490, 1242, 840, 2640, 839, 3959, 545, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
superintegrable deformation oscillator coulomb system generalization oscillator coulomb model discussed via introduction holomorphic coordinate complex euclidian analogue smorodinsky winternitz system rule introduced analyze complex projective parallel rosochatius model also discus supersymmetric extension theoretical account debate
8
665,725
[ 2, 18025, 2795, 3636, 4577, 214, 1781, 3636, 4577, 142, 2443, 864, 4585, 5331, 2972, 586, 12070, 599, 4196, 10128, 17488, 11042, 13560, 450, 3170, 214, 2046, 1847, 1849, 586, 3814, 1912, 11248, 905, 289, 183, 142, 364, 883, 5400, 1900, 1238, 1948, 8016, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
distributivity higher algebra universal property bispans structure contravariant pullback covariant pushforward functoriality satisfy base change encoded functors category span correspondence paper study complicated setup two pushforwards additive multiplicative one satisfying distributivity relation structure described term bispans polynomial diagram show exist category bispans characterized universal property corepresent functors category span pullback left adjoints certain canonical morphisms encoding base change distributivity invertible give universal way obtain functors bispans amount upgrading monoid like structure ring like one example symmetric monoidal category described product preserving functors span finite set tensor product compatible finite coproducts universal property give canonical semiring structure using coproduct tensor product interestingly encode additive multiplicative transfer equivariant spectrum functor bispans finite set extend norm finite etale map motivic spectrum functor certain bispans scheme make spectral deligne mumford stack functor bispans using multiplicative pushforward finite etale map addition usual pullback pushforward map
1
513,901
[ 2, 458, 18731, 3318, 1084, 877, 2363, 559, 10436, 5242, 497, 1950, 18471, 14687, 5938, 5456, 4553, 12732, 104, 3664, 2533, 1173, 5104, 8212, 1798, 4963, 3437, 362, 352, 4845, 3405, 312, 5456, 4553, 32, 3906, 5228, 401, 4321, 458, 18731, 3318, 893, 497, 2422, 612, 10436, 5242, 1372, 2543, 223, 991, 1798, 10436, 5242, 3046, 2363, 559, 1915, 1968, 3953, 39, 36, 8212, 1798, 4963, 14687, 3698, 5049, 32, 1452, 3173, 8865, 3577, 2533, 1173, 458, 18731, 3318, 7229, 1041, 2363, 1024, 575, 8212, 10436, 5242, 2224, 7595, 464, 9962, 1079, 497, 2277, 1079, 401, 848, 1879, 8885, 1798, 2422, 1568, 3009, 8212, 4963, 834, 376, 1540, 1568, 4023, 834, 17444, 32, 2363, 559, 1041, 3173, 14775, 497, 291, 17444, 1540, 1568, 5729, 5255, 3906, 5228, 1293, 4867, 978, 6220, 10436, 5242, 834, 376, 971, 1053, 834, 10585, 813, 9191, 978, 6220, 1452, 10436, 5242, 903, 1225, 1253, 13131, 13268, 3380, 6220, 10436, 5242, 291, 5228, 5456, 4553, 834, 10585, 813, 827, 4444, 14687, 5456, 4553, 813, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
simultaneous extraction fragmentation function alight charged hadron mass rectification achieving highest possible precision theoretical prediction present future high energy lepton hadron collider requires precise determination atomization function ffs light heavy charged hadron global qcd analysis great truth describe simultaneous finding unpolarized ffs charged pion charged kaon protonsantiprotons single inclusive hadron production electron positron annihilation sia data point next leading orderliness next next lead rescript accuracy perturbative qcd new set ffs phone tt sgks presented include data identified light accuse hadron well unknown light charged hadron show data point significant impact size uncertainty fragmentation function examine comprehension high order perturbative qcd correction finite mass core compare new tt sgks ffs recent ffs available literature find general sane agreement likewise important difference parton specie show theoretical forecasting obtained new ffs good agreement analyzed sia data especially small economic value terrestrial time sgks ff set presented work available via tt lhapdf interface
17
369,200
[ 2, 2041, 3059, 6877, 327, 8440, 2009, 3297, 3167, 669, 12171, 3451, 4507, 1117, 2235, 1238, 839, 415, 1387, 298, 470, 4607, 3167, 4296, 2007, 3235, 4267, 1369, 280, 327, 8669, 32, 1003, 2476, 3297, 3167, 1297, 3072, 494, 1931, 3992, 1734, 2041, 1545, 12742, 8669, 32, 3297, 4722, 3297, 9982, 2915, 17448, 18445, 4586, 2491, 782, 7436, 3167, 2155, 1149, 6754, 6047, 3576, 42, 233, 563, 2432, 2085, 452, 12449, 32, 2432, 2432, 840, 7566, 8140, 865, 4011, 3072, 385, 376, 8669, 32, 6522, 5752, 6687, 7481, 1588, 2373, 233, 2807, 1003, 316, 3714, 3167, 529, 2411, 1003, 3297, 3167, 223, 233, 563, 779, 1485, 918, 1451, 6877, 327, 3307, 8457, 298, 452, 4011, 3072, 2303, 834, 669, 1915, 1845, 385, 5752, 6687, 7481, 8669, 32, 644, 8669, 32, 1192, 1810, 696, 421, 9712, 38, 2626, 13459, 994, 1608, 5905, 3527, 223, 1238, 3724, 970, 385, 8669, 32, 1860, 2626, 3273, 3576, 42, 233, 2301, 762, 4252, 730, 6953, 290, 6687, 7481, 8669, 376, 1588, 431, 1192, 864, 5752, 3406, 240, 14689, 2184, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
double scaled limit super symmetric syk model compute exact density state point function super symmetric syk model large double scaled limit using combinatorial tool relate moment distribution sum oriented chord diagram particular show susy realized highly degenerate hilbert space chord calculate analytically number ground state model charge sector finite compare result double scaled limit result reduce super schwarzian action low energy short interaction length limit imply conformal ansatz point function inconsistent due large number ground state show add contribution also discus relation model completeness present overview super symmetric syk model large double scaled limit
1
543,756
[ 2, 2377, 6248, 625, 477, 1879, 10686, 142, 1893, 1487, 784, 314, 563, 327, 477, 1879, 10686, 142, 506, 2377, 6248, 625, 291, 3478, 1242, 5369, 1147, 555, 1327, 3985, 8564, 2543, 756, 223, 10741, 4276, 1752, 3920, 3266, 410, 8564, 2967, 4147, 486, 1636, 314, 142, 1682, 3364, 834, 1845, 249, 2377, 6248, 625, 249, 2068, 477, 5616, 599, 1274, 485, 470, 1491, 719, 1698, 625, 5675, 3076, 6196, 563, 327, 7785, 824, 506, 486, 1636, 314, 223, 1045, 1688, 364, 883, 893, 142, 7065, 415, 4523, 477, 1879, 10686, 142, 506, 2377, 6248, 625, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
variability mrna version random matrix theory approach rate mrna translation depends initiation elongation termination charge per unit ribosome along mrna rate depend many local factor similar abundance free ribosome trna molecule vicinity mrna molecule factor stochastic data based measure also noisy authoritative question protein yield prison cell affected considerable variability develop new theoretic framework addressing question modeling rate identically independently distributed random variable practice tool random matrix possibility analyze regular state yield rate psychoanalysis reveals principle universality average protein production rate depends set possible time value random varying may reach explains total protein production stabilized despite consuming stochasticticity underlie cellular outgrowth
5
1,059,974
[ 2, 3721, 4018, 2536, 1904, 753, 766, 476, 338, 687, 4018, 2536, 2610, 2696, 14100, 16740, 9428, 1682, 184, 1436, 8336, 12929, 1622, 4018, 2536, 687, 626, 731, 619, 955, 960, 3436, 965, 8336, 12929, 186, 2536, 2570, 6649, 4018, 2536, 2570, 955, 1119, 233, 250, 949, 364, 2817, 2953, 4976, 154, 1408, 3861, 1718, 16663, 1395, 4392, 5027, 3721, 578, 385, 3423, 609, 5668, 1408, 1490, 687, 8828, 4414, 1600, 753, 1089, 2686, 1242, 753, 766, 2851, 1849, 1101, 314, 1718, 687, 6509, 8928, 2536, 97, 9206, 3680, 1779, 5214, 1611, 3861, 2155, 687, 2696, 376, 1117, 290, 730, 753, 2566, 853, 2123, 6731, 1876, 3861, 2155, 7966, 2601, 5340, 1119, 6683, 16355, 4270, 19991, 2355, 225, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
elliptic solution toda lattice pecking order elliptic ruijsenaars schneider model deliberate solution toda lattice hierarchy elliptic function zeroth time texas known pole function move particle elliptic ruijsenaars schneider fashion model goal paper extend correspondence grade power structure show hamiltonians govern dynamic pole respect th hierarchical time tm prevention tm toda lattice hierarchy obtained expanding upon spectral curve lax ground substance ruijsenaars schneider model differentiate full point
12
766,144
[ 2, 3250, 533, 11970, 1276, 5734, 945, 452, 3250, 19123, 19618, 3666, 142, 13280, 103, 533, 11970, 1276, 3865, 3250, 327, 11012, 290, 3792, 82, 886, 5243, 327, 4326, 836, 3250, 19123, 19618, 3666, 4375, 142, 1985, 362, 971, 3437, 8923, 716, 497, 223, 5317, 3847, 565, 5243, 1785, 149, 2850, 290, 5057, 10575, 5057, 11970, 1276, 3865, 970, 5794, 2761, 1253, 1684, 9211, 1636, 13687, 19123, 19618, 3666, 142, 10306, 1616, 563, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
population extinction random fitness seascape model population growth extinction increasingly popular subject study however consequence stochasticity noise shaping distribution outcome sufficiently explored consider distributed population logistic growth location subject seascape noise wherein population fitness randomly varies location time despite simplicity model actually incorporates variant directed percolation directed polymer random medium within mean field perspective probability distribution population computed self consistently extinction transition shown exhibit novel critical behavior exponent dependent ratio strength migration noise amplitude result compared contrasted conventional choice demographic noise due stochastic change reproduction
4
1,375,282
[ 2, 1719, 6790, 753, 8093, 7261, 4105, 142, 1719, 2084, 6790, 3829, 2259, 2315, 352, 627, 2736, 11484, 1068, 7297, 555, 2890, 3566, 3891, 520, 1600, 1719, 5607, 2084, 2309, 2315, 7261, 4105, 1068, 7840, 1719, 8093, 4645, 6490, 2309, 290, 2601, 6455, 142, 5815, 5622, 2688, 3940, 5894, 3940, 4314, 753, 1865, 992, 823, 381, 2452, 1158, 555, 1719, 2852, 1081, 4408, 6790, 908, 1186, 1835, 758, 1166, 1017, 3360, 1521, 1467, 2126, 5933, 1068, 2233, 249, 985, 16034, 2172, 2273, 7414, 1068, 824, 1119, 1173, 9227, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
novel way constraining attractor chaotic pomposity planck data point defining scale mode quantum fluctuation ostentation dynamical purview crossing condition go physical variable variable solve equation cosmological disturbance self consistently disorderly attractor type potency enables study behaviour space comparison result blue regime planck data put constraint economic value parameter microscopic computation model model potential humiliated economic value experiment favour model model value coherent max karl ernst ludwig planck datum plane cl relevancy study context large scale structure creation pointed
11
257,080
[ 2, 758, 1024, 6635, 5925, 4557, 10727, 16625, 351, 4100, 233, 563, 4922, 680, 1082, 406, 2160, 17755, 39, 3477, 63, 1602, 1739, 1576, 4603, 587, 902, 1347, 1089, 1089, 1925, 552, 2485, 5302, 1081, 4408, 2747, 97, 5925, 654, 707, 479, 2296, 352, 2645, 410, 1848, 249, 6252, 1526, 4100, 233, 4612, 986, 4252, 730, 481, 4058, 1189, 142, 142, 801, 1025, 3348, 180, 4252, 730, 427, 7956, 142, 142, 730, 2609, 3206, 9061, 43, 726, 2758, 36, 8582, 40, 18489, 4100, 14366, 1954, 178, 1665, 2644, 352, 1115, 506, 680, 497, 5254, 8708, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
syzygy determinantal thickening let ring polynomial function space matrix consider action group via row column operation matrix entry proven raicu weyman invariant ideal linear strand minimal free resolution translates via bgg correspondence module general linear lie superalgebra ideal generated orbit highest weight vector weight gave conjectural description class module grothendieck group prove conjecture also give algorithmic description get class module invariant ideal
1
521,654
[ 2, 18356, 10375, 17609, 2122, 2277, 1372, 327, 410, 766, 520, 1274, 657, 864, 5931, 4677, 1837, 766, 4782, 4231, 667, 72, 45, 525, 17410, 1406, 2653, 617, 11346, 2169, 965, 1378, 10042, 864, 11097, 47, 3437, 1815, 421, 617, 2098, 11712, 2653, 1472, 1430, 4507, 1152, 1134, 1152, 9514, 15057, 2045, 463, 1815, 8707, 657, 900, 2049, 364, 1041, 3930, 2045, 3195, 463, 1815, 1406, 2653, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
readout majorana bound state via landau zener transition reading majorana bound state mb essential verify non abelian property realize topological quantum computation construct protocol measure parity two mb majorana island coupled double quantum dot dqd parity information mapped charge state dqd landau zener transition operation needed sweeping bias dqd followed charge sensing case without fine tuning single run sweep detection implement weak measurement parity find general sequence ten run would completely project superposition state either parity charge detection run record state mb collapse step step remarkably readout protocol non demolition robust low frequency charge fluctuation
4
1,324,341
[ 2, 6745, 4945, 451, 314, 864, 4502, 18045, 908, 6163, 4945, 451, 314, 6891, 2691, 3590, 278, 3361, 559, 4919, 1178, 406, 1189, 1244, 2237, 949, 4258, 312, 6891, 4945, 7554, 1828, 2377, 406, 4463, 7789, 40, 4258, 545, 6840, 1682, 314, 7789, 40, 4502, 18045, 908, 1837, 3177, 15108, 1736, 7789, 40, 4478, 1682, 2835, 516, 973, 2489, 2752, 782, 1769, 9799, 791, 1795, 1207, 852, 4258, 696, 421, 1160, 4265, 1769, 2274, 3473, 2487, 6012, 314, 1896, 4258, 1682, 791, 1769, 3355, 314, 6891, 3863, 1228, 1228, 5344, 6745, 2237, 278, 13298, 2117, 63, 872, 485, 1029, 1682, 2160, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
inference random effect linear mixed effect model fixed number cluster consider linear mixed effect model clustered structure parameter estimated using maximum likelihood ml based possibly unbalanced data inference model typically done based asymptotic theory assuming number cluster tends infinity sample size however number cluster fixed classical asymptotic theory developed divergent number cluster longer valid lead erroneous conclusion paper establish asymptotic property ml estimator random effect parameter general setting applied conduct valid statistical inference fixed number cluster asymptotic theorem allow fixed effect random effect misspecified dimension effect go infinity sample size
6
1,361,097
[ 2, 1444, 753, 610, 617, 2519, 610, 142, 1650, 486, 878, 520, 617, 2519, 610, 142, 8459, 497, 481, 2923, 291, 1749, 2762, 2482, 250, 3974, 9912, 233, 1444, 142, 2593, 3870, 250, 1342, 476, 3416, 486, 878, 5800, 4192, 832, 918, 627, 486, 878, 1650, 1070, 1342, 476, 1502, 9385, 486, 878, 4381, 1308, 840, 12032, 3971, 362, 1227, 1342, 559, 2482, 1951, 753, 610, 481, 421, 1163, 1261, 2040, 1308, 1558, 1444, 1650, 486, 878, 1342, 1396, 735, 1650, 610, 753, 610, 14504, 443, 610, 902, 4192, 832, 918, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
k mace kernel mace clustering determining correct number cluster cnc important task data clustering critical effect finalizing partitioning result mean one popular method clustering requires cnc validity index method use additional optimization procedure estimate cnc mean propose alternative validity index approach denoted minimizing average central error kmace mean one popular method clustering requires cnc validity ace average error true unavailable cluster center estimated cluster center sample data kernel mace kernel mean equipped efficient cnc estimator addition kernel kmace includes first automatically tuned procedure choosing gaussian kernel parameter simulation result synthetic read data show superiority kmace kernel mace conventional clustering method cnc estimation also partitioning procedure
6
1,388,946
[ 2, 15, 2789, 38, 1858, 2789, 38, 2108, 4026, 2510, 486, 878, 5904, 33, 994, 546, 233, 2108, 1166, 610, 2811, 1007, 6449, 249, 823, 401, 2259, 210, 2108, 2007, 5904, 33, 4633, 1901, 210, 508, 1854, 868, 1898, 999, 5904, 33, 823, 537, 2262, 4633, 1901, 338, 8154, 4243, 1611, 1905, 857, 4111, 228, 823, 401, 2259, 210, 2108, 2007, 5904, 33, 4633, 12647, 1611, 857, 3021, 11069, 878, 2231, 2923, 878, 2231, 832, 233, 1858, 2789, 38, 1858, 823, 4859, 790, 5904, 33, 1951, 827, 1858, 4111, 228, 2976, 499, 3155, 4697, 1898, 6486, 1476, 1858, 481, 679, 249, 2338, 3746, 233, 223, 5758, 4111, 228, 1858, 2789, 38, 2172, 2108, 210, 5904, 33, 1083, 364, 6449, 1898, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
continuous wave second harmonic generation enabled quasi bound state continuum gallium phosphide metasurfaces resonant metasurfaces attractive platform enhancing non linear optical process second harmonic generation shg since generate large local electromagnetic field relaxing phase matching requirement take platform step closer practical application demonstrating visible range continuous wave cw shg combining attractive material property gallium phosphide engineered high quality factor photonic mode enabled bound state continuum optimum case obtain efficiency around system pumped nm wavelength cw intensity kwcm moreover measure external efficiency high w pump intensity mwcm pulsed irradiation efficiency higher value previously reported dielectric metasurfaces achieved pump intensity two order magnitude lower
2
1,530,091
[ 2, 1335, 713, 937, 2865, 1356, 4446, 2119, 451, 314, 3269, 16196, 8756, 557, 8632, 3809, 8632, 4825, 2145, 5756, 278, 617, 1195, 455, 937, 2865, 1356, 14925, 1784, 1941, 506, 619, 3068, 381, 11626, 584, 2288, 2404, 1884, 2145, 1228, 6624, 2065, 542, 4648, 4670, 889, 1335, 713, 9454, 14925, 2855, 4825, 1222, 559, 16196, 8756, 557, 7666, 298, 1320, 955, 3498, 1082, 4446, 451, 314, 3269, 5629, 516, 575, 1370, 1926, 214, 12733, 2892, 3110, 9454, 2947, 12626, 6909, 1415, 949, 2513, 1370, 298, 27, 5972, 2947, 6518, 6909, 8764, 7556, 1370, 1084, 730, 2240, 2987, 4618, 8632, 2002, 5972, 2947, 312, 452, 2227, 1262, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
empirical exploration deep recurrent connection memory cell using neuro evolution neuro evolution neural architecture search algorithm gained increasing interest due challenge involved designing optimal artificial neural network anns algorithm shown posse potential outperform best human crafted architecture le common use tool analysis ann structural component connectivity structure work focus particular use case develop rigorous examination comparison framework analyzing recurrent neural network rnns applied time series prediction using novel neuro evolutionary process known evolutionary exploration augmenting memory model examm specifically use examm based analysis investigate capability recurrent memory cell generalization ability afforded various complex recurrent connectivity pattern span one step time ie deep recurrent connection examm study used train million rnns repeated experiment varying component many modern often hand crafted rnns rely complex memory cell internal recurrent connection span single time step operating assumption sufficiently latch information handle long term dependency result show network evolved deep recurrent connection perform significantly better without importantly case best performing rnns consisted simple neuron deep time skip connection without memory cell result strongly suggest utilizing deep time skip connection rnns time series data prediction deserves dedicated study also demonstrate potential neuro evolution mean better study understand train effective rnns
0
75,372
[ 2, 2124, 3081, 562, 3222, 1960, 1581, 1395, 291, 4957, 1085, 4957, 1085, 549, 1091, 1106, 349, 6279, 1660, 1640, 824, 1136, 4242, 3918, 819, 2611, 549, 256, 10964, 349, 1186, 4914, 801, 1494, 1539, 1047, 8272, 1091, 275, 1277, 508, 1242, 494, 4665, 2287, 1071, 3839, 497, 431, 1102, 756, 508, 516, 578, 3699, 8791, 1848, 609, 3519, 3222, 549, 256, 7792, 1261, 290, 1461, 839, 291, 758, 4957, 3942, 455, 886, 3942, 3081, 9859, 1581, 142, 2230, 53, 1855, 508, 2230, 53, 250, 494, 1190, 2459, 3222, 1581, 1395, 1781, 2182, 18580, 1002, 586, 3222, 3839, 1412, 4963, 401, 1228, 290, 1273, 562, 3222, 1960, 2230, 53, 352, 522, 442, 4152, 7792, 5519, 427, 2566, 1071, 731, 2939, 1429, 1333, 8272, 7792, 3139, 586, 1581, 1395, 3060, 3222, 1960, 4963, 782, 290, 1228, 3929, 1628, 3566, 662, 138, 545, 3579, 891, 612, 3486, 249, 223, 256, 6914, 562, 3222, 1960, 347, 1411, 1251, 973, 5106, 516, 1539, 3324, 7792, 16796, 1004, 3945, 562, 290, 7847, 1960, 973, 1581, 1395, 249, 2120, 1503, 3975, 562, 290, 7847, 1960, 7792, 290, 1461, 233, 839, 313, 1942, 32, 5609, 352, 364, 717, 801, 4957, 1085, 823, 1251, 352, 1121, 442, 1013, 7792, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
measurement jet radial visibility pbpb collision tev jet radiate structure particle transverse momentum make within propel plane presented centrality exact pib pb hit tev course based jet called charged jet reconstructed resolving parametric amount midrapidity transverse momentum gev fountain hadron correlation relative az pseudorapidity space appraise study distribution associated particle around jet axis unlike range gev data pb pb hit compared reference distribution pp collision obtained using embedded pythia model number gamy associate particle gev pb pb hit found suppressed compare reference depending centrality stellate particle distribution relative bloc vertebra display moderate modification pb atomic number collision respect pythia high associate particle slightly collimated pb pb collision compared book fact crushed associate molecule tend broadened outcome presented first time gev petabit pb hit compatible previous super acid hadron touch measurement atomic number quislingism jet shape measurement alice collaboration higher add support established picture medium parton energy deprivation
16
815,361
[ 2, 852, 2580, 3303, 7918, 13578, 1881, 4210, 2580, 757, 103, 497, 836, 3415, 1772, 1225, 992, 1519, 73, 1954, 1588, 6663, 1487, 3479, 51, 3727, 6889, 4210, 5293, 250, 2580, 1357, 3297, 2580, 5536, 7421, 3105, 2224, 3683, 7432, 8414, 3415, 1772, 3598, 3748, 10779, 177, 3167, 1138, 1946, 6275, 17057, 410, 16859, 491, 352, 555, 1187, 836, 1926, 2580, 3499, 3564, 889, 3598, 233, 3727, 3727, 6889, 985, 2796, 555, 4320, 1881, 970, 291, 3141, 15427, 142, 486, 1279, 50, 7577, 836, 3598, 3727, 3727, 6889, 1088, 5811, 1845, 2796, 3054, 6663, 3546, 7270, 103, 836, 555, 1946, 604, 163, 15978, 16019, 3926, 5465, 3397, 3727, 2671, 486, 1881, 1785, 15427, 298, 7577, 836, 4988, 15383, 3727, 3727, 1881, 985, 6967, 769, 14175, 1001, 64, 7577, 2570, 3325, 16777, 2890, 1588, 499, 290, 3598, 6373, 5589, 36, 3727, 6889, 4023, 912, 477, 8578, 3167, 10034, 852, 2671, 486, 164, 86, 1233, 645, 2580, 1761, 852, 8279, 4552, 1084, 1045, 1393, 2668, 4199, 1865, 5905, 470, 511, 601, 75, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
half life measurement po river nuclear number loaded liquid scintillator exact measurement one half sprightliness history petty officer peerless fille nuclides radioactive chain pot th realize mean value liquidness scintillator based toluene doped complex atomic number trioctylphosphine oxide concentration thursday mess tight photomultiplier tube high frequency oscilloscope used evolve scintillation signal waveform algorithm developed find pair bi beta decay subsequent u post office alpha decomposition calculate time difference event distich body work bismuth beta radioactive disintegration po alpha disintegration energy department spectrum preliminary po one one half life experiment onward motion aim reducing statistical taxonomic incertitude
16
827,809
[ 2, 3045, 2434, 852, 305, 12362, 2461, 486, 11485, 2493, 11096, 1487, 852, 401, 3045, 18098, 373, 12449, 32, 3587, 6373, 351, 12256, 34, 5942, 2112, 3551, 38, 17689, 2870, 11966, 1882, 707, 149, 4919, 823, 730, 2493, 691, 11096, 250, 4600, 284, 243, 5212, 586, 2671, 486, 1495, 16845, 2591, 229, 2121, 216, 5451, 3280, 13966, 5342, 203, 3227, 3342, 14342, 6075, 298, 1029, 1699, 13749, 522, 6036, 10943, 901, 4816, 349, 1502, 696, 1140, 817, 5028, 1552, 4954, 25, 1717, 12256, 5357, 2246, 2967, 290, 1608, 1170, 343, 1754, 1577, 431, 16148, 5028, 11966, 217, 16211, 305, 5357, 217, 16211, 470, 13276, 978, 5260, 305, 401, 401, 3045, 2434, 427, 1148, 1221, 1367, 1484, 3390, 1558, 19811, 6926, 317, 4204, 7098, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
gauge symmetry fr gravitational force torsion cartan formalism foremost order general relativity attribute interior gauge symmetry high spirit dimensional generalization trey dimensional local translation reputation extension symmetry dimensional fr gravitational force tortuousness cartan formalism new symmetricalness arises verbatim application converse noether second theorem action principle fr gravity torsion display infinitesimal diffeomorphisms written linear combination modern internal caliber symmetricalness local lorentz transformation term proportional variational derivative fr action mean new inner symmetry concert local lorentz transformation use describe full gauge proportion fr gravity torsion thus diffeomorphisms become derived symmetry setting
8
600,554
[ 2, 2036, 1078, 997, 1751, 2058, 4937, 8295, 3091, 5635, 2367, 452, 421, 4260, 3233, 5014, 2036, 1078, 298, 9633, 673, 1781, 4148, 50, 673, 619, 2610, 13073, 1900, 1078, 673, 997, 1751, 2058, 2047, 36, 9838, 691, 8295, 3091, 385, 15129, 691, 4530, 13582, 289, 53, 542, 9295, 7584, 937, 1396, 1274, 1779, 997, 1870, 4937, 3926, 8681, 9687, 5056, 617, 2033, 2939, 3060, 2772, 59, 15129, 691, 619, 4288, 2081, 612, 4649, 2332, 2790, 997, 1274, 823, 385, 3386, 1078, 9713, 7937, 619, 4288, 2081, 508, 1734, 1616, 2036, 3592, 997, 1870, 4937, 1214, 9687, 2387, 1712, 1078, 1163, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
transpose projector model non zero quantize mansion conductance ungauging recently discovered lattice rotor model chern simon theory create exactly soluble path built spacetime lattice correspondence protect topologic spt phase angle dimension non zero asaph hall conductance convert route integral spacetime lattice hamiltonian lattice model show hamiltonian lie mutually commuting local projector confirm non zero antechamber conductance compute chern bit exact ground publica late hint commuting projector model server nonzero hall conductance wench exit theorem look rotor coil model countably numberless bit body politic per site
19
492,045
[ 2, 16775, 11344, 142, 278, 1362, 15979, 398, 167, 6241, 171, 4462, 2562, 70, 1305, 4352, 1276, 10003, 142, 4559, 6585, 476, 3459, 3625, 18676, 1324, 3447, 3426, 1276, 3437, 7357, 653, 12949, 10748, 584, 2228, 443, 278, 1362, 548, 240, 37, 3157, 6241, 6534, 4732, 1964, 3426, 1276, 2001, 1276, 142, 223, 2001, 2098, 8015, 8023, 619, 11344, 2353, 278, 1362, 3449, 322, 8623, 59, 6241, 1893, 4559, 2712, 1487, 1636, 2133, 42, 4482, 7971, 8023, 11344, 142, 3667, 6041, 3157, 6241, 525, 15843, 37, 8298, 1396, 4146, 10003, 9772, 142, 12730, 486, 2112, 2712, 1577, 19633, 184, 3032, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
probing black hole metric black hole shadow binary black hole inspirals general relativity spacetimes black hole three fundamental property lowest order spin metric stellar object ii independent mass expressed geometric unit iii described kerr metric paper quantify upper bound potential black hole metric deviation imposed observation black hole shadow binary black hole inspirals order explore current experimental limit possible violation last two prediction find type experiment provide correlated constraint deviation parameter primarily tt component spacetimes expressed areal coordinate conclude currently evidence deviation kerr metric across order magnitude mass order curvature spanned two type black hole moreover particular mass black hole current sample gravitational wave source correlation imposed two experiment aligned similar magnitude expressed term far field post newtonian prediction metric future coalescing black hole binary two low mass eg msun component discovered degeneracy deviation parameter broken combining inspiral constraint black hole shadow measurement
10
1,368,526
[ 2, 5328, 1161, 1196, 1093, 1161, 1196, 5500, 1446, 1161, 1196, 16514, 421, 4260, 6016, 1161, 1196, 776, 1708, 559, 5240, 452, 740, 1093, 2020, 934, 1465, 1312, 669, 4363, 1987, 1436, 3509, 2422, 5079, 1093, 362, 3658, 2054, 451, 801, 1161, 1196, 1093, 3279, 5853, 972, 1161, 1196, 5500, 1446, 1161, 1196, 16514, 452, 1989, 845, 982, 625, 1117, 4072, 2787, 312, 839, 696, 654, 427, 693, 2842, 986, 3279, 481, 5584, 5752, 1071, 6016, 4363, 19218, 2972, 3766, 3458, 2188, 3279, 5079, 1093, 1496, 452, 2227, 669, 452, 2396, 12010, 312, 654, 1161, 1196, 1415, 756, 669, 1161, 1196, 845, 832, 1751, 713, 829, 1138, 5853, 312, 427, 5277, 960, 2227, 4363, 612, 2209, 381, 1717, 5978, 839, 1093, 1387, 16011, 1161, 1196, 1446, 312, 485, 669, 1454, 8968, 1071, 4352, 5184, 3279, 481, 4956, 2855, 9723, 986, 1161, 1196, 5500, 852, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
revisiting bayesian autoencoders mcmc autoencoders gained popularity deep learning revolution given ability compress data provide dimensionality reduction although prominent deep learning method used enhance autoencoders need provide robust uncertainty quantification remains challenge addressed variational autoencoders far bayesian inference via mcmc method faced limitation recent advance parallel computing advanced proposal scheme incorporate gradient opened route le travelled paper present bayesian autoencoders powered mcmc sampling implemented using parallel computing langevin gradient proposal scheme proposed bayesian autoencoder provides similar performance accuracy compared related method literature additional feature robust uncertainty quantification compressed datasets motivates application bayesian autoencoder framework deep learning model
0
52,028
[ 2, 9869, 1920, 6316, 6243, 6316, 6279, 6215, 562, 285, 7806, 812, 2182, 6851, 233, 693, 4130, 1843, 2302, 5799, 562, 285, 210, 522, 2158, 6316, 1142, 693, 872, 1451, 5234, 2685, 1136, 4865, 2332, 6316, 2209, 1920, 1444, 864, 6243, 210, 8929, 2753, 644, 2722, 1912, 1617, 3753, 3765, 903, 4268, 1154, 11024, 4732, 275, 3984, 768, 362, 415, 1920, 6316, 7101, 6243, 1836, 2775, 291, 1912, 1617, 6439, 1154, 3765, 903, 459, 1920, 4904, 1220, 960, 473, 865, 985, 1264, 210, 1810, 1854, 571, 872, 1451, 5234, 4959, 1037, 8584, 542, 1920, 4904, 609, 562, 285, 142, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
coupled hypergraph map helter skelter cluster synchronization twin map lattice cmls prototypic dynamical system networksgraphs display complex pattern generated via interplay diffusivelaplacian coupling nonlinear reaction modelled single iterated mathematical function node map often taken unimodal eg logistic tent map letter propose class high order coupled dynamical system involve hypergraph laplacian call partner hypergraph mapping chms combining linearized stability analysis synchronized state hypergraph spectral possibility numerical method detect racy region chaotic cluster synchronization occurring argument blank space upon vary coupling strength main bifurcation parametric quantity unimodal map furthermore find primal difference laplacian hypergraph laplacian coupling detect versatile class periodic quasi periodic formula result show high complexness coupled graph map indicate might excellent ecumenical model class understand similarity difference dynamical classical graph active hypergraphs
12
741,260
[ 2, 1828, 5258, 813, 1351, 115, 4822, 43, 115, 878, 4829, 6465, 813, 1276, 2090, 5463, 3799, 72, 1602, 214, 256, 16302, 1087, 32, 3926, 586, 1412, 1472, 864, 4305, 6267, 7086, 4174, 1183, 1144, 2608, 6828, 782, 7593, 2657, 327, 1418, 813, 1429, 3356, 11247, 1454, 5607, 9965, 813, 5355, 537, 463, 298, 452, 1828, 1602, 214, 4979, 5258, 4195, 1052, 7161, 5258, 2256, 161, 3142, 2855, 6462, 1557, 494, 9361, 314, 5258, 1253, 2851, 869, 210, 2106, 9416, 50, 977, 4557, 878, 4829, 6322, 3306, 14794, 410, 2761, 2195, 1183, 2126, 925, 5420, 3105, 2797, 11247, 813, 1518, 696, 7214, 1608, 4195, 5258, 4195, 1183, 2106, 6774, 463, 2229, 2119, 2229, 1729, 249, 223, 298, 586, 691, 1828, 471, 813, 2941, 3107, 4254, 1966, 1971, 14064, 61, 142, 463, 1121, 2447, 1608, 1602, 1070, 471, 1894, 7942, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
estimation body mass index photograph using deep convolutional neural network obesity important concern public health body mass index one useful proliferant measure use convolutional neural network determine body mass index photograph study participant low data common problem medicine addressed reducing information photograph generating silhouette image result present high correlation tested unseen data
6
1,354,644
[ 2, 1083, 1577, 669, 1901, 13654, 291, 562, 1747, 549, 256, 9308, 19529, 994, 2625, 2133, 2499, 1577, 669, 1901, 401, 2094, 9214, 150, 949, 508, 1747, 549, 256, 1988, 1577, 669, 1901, 13654, 352, 4330, 485, 233, 1277, 304, 8344, 4865, 3390, 545, 13654, 2559, 17446, 488, 249, 415, 298, 1138, 3209, 4371, 233, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
improved variational bayesian phylogenetic illation renormalise flow variational bayesian phylogenetic illation vbpi provides promising general variational framework efficient estimation phyletic posterior however current diagonal lognormal branch length estimation would significantly restrain quality approximating distribution theme propose new type vbpi vbpi nf first step empower phylogenetic ulterior estimate deep learning proficiency handling non euclidian branch length space phylogenetic model carefully designed permutation equivariant transformation vbpi nf u normalizing flow provide rich family flexible branch length statistical distribution popularize across different tree topology display vbpi nf importantly improves upon vanilla vbpi benchmark challenge real data bayesian phylogenetic inference problem investigation also reveals structured parameterization replacement equivariant transformation cater additional amortisation benefit
5
1,007,945
[ 2, 2023, 2332, 1920, 10574, 3229, 75, 3431, 491, 928, 2332, 1920, 10574, 3229, 75, 13150, 9174, 1220, 2312, 421, 2332, 609, 790, 1083, 9681, 1614, 3196, 627, 845, 3958, 16962, 3461, 1698, 1083, 2274, 1411, 1620, 263, 1320, 5728, 555, 9868, 537, 385, 654, 13150, 9174, 13150, 9174, 9255, 499, 1228, 9115, 10574, 1775, 2958, 999, 562, 285, 1777, 1302, 5678, 278, 12070, 599, 3461, 1698, 410, 10574, 142, 5285, 2092, 4025, 4867, 2081, 13150, 9174, 9255, 25, 8699, 928, 693, 2659, 1644, 3322, 3461, 1698, 1558, 555, 2259, 462, 1496, 467, 1720, 2376, 3926, 13150, 9174, 9255, 5106, 2587, 2761, 9196, 13150, 9174, 1520, 1136, 495, 233, 1920, 10574, 1444, 304, 3111, 364, 3680, 3140, 6387, 8229, 4867, 2081, 15325, 1854, 12085, 10893, 2539, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
rigorous asymptotics kdv soliton throttle analytically study long meter large space asymptotics novel wide division solution kdv equation acquaint dyachenko zakharov zakharov solution characterized riemann hilbert problem show arises limit gas soliton show gas soliton boundary slowly set cnoidal flourish solution term order approaching exponentially fast launch asymptotic description gas soliton big meter valid total spatial land term karl gustav jacob jacobi elliptic use
12
752,250
[ 2, 3699, 5666, 10582, 3768, 15263, 7140, 80, 4147, 352, 891, 7838, 506, 410, 5666, 758, 1762, 6180, 533, 10582, 552, 2864, 6573, 7211, 12084, 39, 13091, 17756, 17756, 533, 3046, 4728, 3266, 304, 223, 4530, 625, 1632, 3768, 223, 1632, 3768, 1107, 6881, 376, 5904, 3802, 4345, 11939, 1001, 533, 612, 452, 8011, 4297, 1180, 7611, 1342, 2045, 1632, 3768, 3315, 7838, 1308, 1876, 1325, 2382, 612, 9061, 43, 1076, 17036, 46, 4303, 5483, 3250, 508, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
pricing without martingale measuring rod several ten arbitrage na condition martingale measure meet major office financial asset pricing theory propose fresh approach estimating crack replication cost based convex duality alternatively martingale criterion dichotomy price expressed using fenchel conjugate solution bi conjugate super hedging problem lead endogenously frail condition na call absence immediate net profit aip propose several characterisation aip study coitus classical notion arbitrage also give promising numerical example
15
1,175,191
[ 2, 5848, 973, 8225, 3835, 8035, 876, 4265, 12127, 3679, 587, 8225, 949, 5084, 1824, 12256, 4348, 5578, 5848, 476, 537, 8667, 338, 3262, 7117, 9299, 1103, 250, 1593, 3570, 9476, 8225, 2437, 10081, 3377, 4363, 291, 19522, 6453, 533, 817, 6453, 477, 12234, 304, 840, 11755, 97, 3467, 116, 587, 3679, 1052, 3864, 8111, 244, 7559, 2582, 44, 537, 876, 7711, 2582, 44, 352, 235, 76, 183, 1070, 2245, 12127, 364, 1041, 2312, 869, 848, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
gist inter organization coupling heat shipping microscopic hit model paper consider bipartite organization composed two subsystem coupled caloric environment based collision model mainly study whether approximation ie inter system interaction ignored pattern system environment coupling valid besides address job passion transport unitedly conventional energy preserving system environment interaction non energy preserving system environment interaction former fundamental interaction inter system interaction strength increment first approximation get worse expect counterintuitively obtain better yet stronger inter system coupling latter interaction imbalance bringing close together get progressively worse case realise perfect thermal rectification find unmistakable correction effect former interaction finally significantly leave display whether estimation valid tight related quantum coefficient correlation subsystem ie weaker quantum correlation justified approximation vice versa
13
1,214,599
[ 2, 11224, 79, 206, 4770, 1183, 2551, 10784, 1063, 4058, 6889, 142, 362, 520, 5002, 4770, 4187, 312, 5555, 1828, 8879, 72, 1028, 250, 1881, 142, 3601, 352, 2252, 1056, 1273, 206, 214, 719, 9437, 1412, 214, 1028, 1183, 1308, 3923, 1260, 5769, 10953, 58, 1538, 8367, 97, 2172, 470, 3009, 214, 1028, 719, 278, 470, 3009, 214, 1028, 719, 4753, 1708, 719, 206, 214, 719, 2126, 4690, 499, 1056, 3195, 8315, 2934, 17269, 97, 575, 1251, 2334, 4631, 206, 214, 1183, 2679, 719, 6146, 10595, 2247, 2556, 3195, 9150, 8315, 516, 16697, 3261, 1609, 12171, 696, 7579, 18597, 6214, 172, 2303, 610, 4753, 719, 1157, 1411, 8002, 3926, 2252, 1083, 1308, 3342, 1264, 406, 1624, 1138, 5555, 1273, 6170, 406, 1138, 10502, 1056, 9421, 9599, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
small complexity joint chief financial officer channel estimation ri aid ofdm system exact channel estimate essential achieving performance gain offer reconfigurable intelligent surface ri aided wireless communication variety tv channel estimation method acting suggest organization however none exist method take account effect synchronization error carrier frequency set cfo general chief financial officer significantly put channel estimation performance immaterial frequency section multiplexing ofdm system motivated investigate effect cfo channel estimation ri aided ofdm organisation moreover propose joint cfo channel impulse reaction cir estimation method acting system pretense outcome demonstrate potency proposed method also demonstrate use time knowledge domain rather frequency domain estimation context result advance mean squared error mse performance channel estimation comfortably significantly lower overall computational complexity
3
117,993
[ 2, 762, 1223, 1776, 9839, 3921, 4348, 12256, 34, 1062, 1083, 2429, 5547, 9168, 214, 1487, 1062, 999, 2691, 3451, 473, 2146, 2380, 7010, 3826, 854, 2429, 5487, 2827, 1313, 1683, 8919, 1062, 1083, 210, 5136, 1503, 4770, 627, 8076, 991, 210, 1884, 1948, 610, 4829, 857, 4198, 1029, 376, 5168, 35, 421, 9839, 3921, 4348, 12256, 34, 1411, 4612, 1062, 1083, 473, 3639, 6404, 1029, 2524, 8744, 9168, 214, 2808, 1190, 610, 5168, 35, 1062, 1083, 2429, 5487, 9168, 12925, 1415, 537, 1776, 5168, 35, 1062, 8959, 2608, 15374, 1083, 210, 5136, 214, 4506, 1267, 2890, 717, 707, 479, 459, 210, 364, 717, 508, 290, 1179, 749, 2728, 1029, 749, 1083, 1115, 249, 2722, 823, 5055, 857, 9479, 473, 1062, 1083, 10592, 1626, 1411, 1262, 2612, 1259, 1223, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
symmetry concentrate dynamic mode disintegration near wall turbulence data driven dimensionality reduction method right impertinent decomposition reaction pod dynamic mode decomposition dmd proven useful explore complex phenomenon within fluid dynamic beyond well known challenge technique set uninterrupted proportion eg translation rotation system retainer drift data point overshadow average elaboration without providing insight dynamic problem nowadays study address issue pressure drive flow orthogonal channel formulating continuous symmetry reduction method eliminates transformation simultaneously streamwise spanwise direction practical application think turbulence minimal stream unit reynolds number based centerline speed half channel height compute symmetry reduced dynamic mode disintegration srdmd slither data window varying duration srdmd channel flow reveals episode riotous clip evolution approximated low dimensional analogue enlargement
12
733,167
[ 2, 1078, 8844, 565, 1082, 217, 16211, 1027, 3129, 3620, 233, 1457, 4130, 1843, 210, 3179, 4635, 3841, 39, 36, 2246, 2608, 8906, 565, 1082, 2246, 11969, 4231, 2094, 1989, 586, 1981, 992, 2130, 565, 2173, 529, 886, 1136, 703, 376, 12300, 59, 8475, 64, 3592, 1454, 2610, 2575, 214, 5114, 59, 4075, 233, 563, 8467, 7352, 15933, 54, 1611, 7207, 75, 973, 2494, 2251, 565, 304, 8054, 352, 1260, 1737, 2295, 4047, 928, 3099, 1062, 9754, 1335, 1078, 1843, 210, 10153, 2081, 2581, 16621, 4963, 2558, 1562, 2065, 542, 11070, 3620, 2169, 2481, 1436, 6991, 486, 250, 2231, 1282, 1691, 3045, 1062, 4650, 1893, 1078, 2104, 565, 1082, 217, 16211, 3729, 4565, 40, 11109, 417, 233, 4029, 2566, 4509, 3729, 4565, 40, 1062, 928, 3680, 8703, 2429, 7946, 183, 7905, 1085, 5327, 485, 673, 4196, 15586, 190, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
two dimensional black hole limiting curvature hypothesis gravity paper discus modified gravity model growth curvature dynamically restricted illustrate interesting feature film model consider modification dimensional dilaton solemnity theory satisfies limit curvature condition show model describes ii dimensional black hole contain de sitter like marrow instead uniqueness original non modified theory second portion paper field study vaidya type solution mannequin limiting curvature theory gravity used analyse property black hole created flop zero fluid also enforce result subject interesting feature article black hole evaporation
9
1,686,494
[ 2, 312, 673, 1161, 1196, 3962, 2396, 2765, 1870, 362, 883, 2741, 1870, 142, 2084, 2396, 4213, 3722, 2495, 2547, 571, 2869, 142, 520, 3397, 673, 8973, 14900, 14402, 104, 476, 4259, 625, 2396, 587, 223, 142, 3705, 1465, 673, 1161, 1196, 1371, 139, 5115, 1079, 3439, 2355, 2464, 4459, 2167, 278, 2741, 476, 937, 7071, 362, 381, 352, 7608, 127, 7242, 654, 533, 17875, 1709, 60, 3962, 2396, 476, 1870, 522, 4742, 559, 1161, 1196, 4153, 9784, 1362, 2130, 364, 8164, 249, 2315, 2547, 571, 2063, 1161, 1196, 7676, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
reinforcement learning approach non equilibrium quantum thermodynamics use reinforcement learning approach reduce entropy production closed quantum system brought equilibrium strategy make use external control hamiltonian policy gradient technique approach bear dependence quantitative tool chosen characterize degree thermodynamic irreversibility induced dynamical process considered require little knowledge dynamic need tracking quantum state system evolution thus embodying experimentally non demanding approach control non equilibrium quantum thermodynamics successfully apply method case single two particle system subjected time dependent driving potential
4
1,452,989
[ 2, 1864, 285, 338, 278, 1726, 406, 4862, 508, 1864, 285, 338, 2068, 1612, 2155, 2064, 406, 214, 7919, 1726, 1168, 1225, 508, 2513, 561, 2001, 1289, 1154, 703, 338, 7393, 1991, 2847, 1242, 3966, 2636, 1402, 2788, 13693, 1627, 1602, 455, 1657, 2115, 3608, 1179, 565, 1142, 2680, 406, 314, 214, 1085, 1214, 9384, 1177, 2882, 278, 8546, 338, 561, 278, 1726, 406, 4862, 3334, 1780, 210, 516, 782, 312, 836, 214, 8420, 290, 1521, 2594, 801, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
comprehensive examination study three quadruplet neutron system low energy work present analysis three four neutron system low energy regime habituate adiabatic hyperspherical method late phys rev lett article phys revolution per minute lett low energy behavior neutron system treat adiabatic estimation pretermit aslope non adiabatic coupling thorough analysis density state multi channel treatment three four neutron spread near scattering continuum room access performed showing evidence ringing low energy detailed psychoanalysis long range behavior lowest adiabatic hyperspherical potential difference show attractive worldwide behavior dominates humbled push regime multi channel scattering tenacious range behavior lead divergent behavior concentration state could account low energy signaling mention experiment kisamori et al phys rpm lett
14
963,717
[ 2, 3100, 8791, 352, 776, 15831, 36, 2185, 214, 485, 470, 431, 415, 494, 776, 1249, 2185, 214, 485, 470, 1526, 8842, 9000, 4702, 5123, 12031, 210, 4482, 723, 2872, 9472, 2063, 723, 7806, 184, 6276, 9472, 485, 470, 1017, 2185, 214, 2174, 4702, 1083, 4506, 241, 76, 19709, 1647, 278, 4702, 1183, 5557, 494, 784, 314, 329, 1062, 2506, 776, 1249, 2185, 2853, 1027, 1661, 3269, 4273, 2083, 2183, 2705, 2188, 2277, 70, 485, 470, 2721, 6509, 8928, 2536, 97, 9206, 891, 889, 1017, 5240, 4702, 5123, 12031, 801, 1608, 223, 4825, 8169, 1017, 8442, 1025, 8405, 5456, 1526, 329, 1062, 1661, 4265, 84, 3246, 889, 1017, 840, 9385, 1017, 3280, 314, 1499, 1948, 485, 470, 8210, 8931, 427, 17733, 113, 11633, 1623, 128, 723, 8294, 53, 9472, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
problem arithmetic topology present list problem arithmetic topology posed june pimsnsf workshop arithmetic topology three problem session hosted workshop participant proposed open question audience engaged shared discussion perspective working mathematician across various field study participant explicitly asked provide problem various level difficulty goal capturing cross section exciting challenge field could help guide future activity problem together reference brief discussion appropriate collected three category topological analogue arithmetic phenomenon point count stability phenomenon grothendieck ring tool method example
1
505,050
[ 2, 304, 4803, 2376, 415, 3488, 304, 4803, 2376, 4093, 12717, 14279, 11982, 12620, 8778, 4803, 2376, 776, 304, 6913, 12516, 8778, 4330, 459, 1090, 1408, 10849, 15952, 3489, 4139, 2452, 4442, 14771, 1496, 1002, 381, 352, 4330, 2706, 9362, 693, 304, 1002, 712, 3585, 1985, 5147, 1202, 2524, 7735, 1136, 381, 1499, 1967, 4415, 1387, 2194, 304, 2556, 2796, 4471, 4139, 2955, 3362, 776, 1798, 1178, 4196, 4803, 1981, 563, 2527, 1557, 1981, 8707, 2277, 1242, 210, 848, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
noise free coeval bright subject wave soliton wave display access sufficiently flexible trapping potential could overwork generation trio dimensional atomic bright subject beckon soliton proposal provides route towards producing vivid solitonic state good fidelity direct contrast example non adiabatic sweeping applied magnetic field feshbach resonance
12
715,854
[ 2, 1068, 965, 235, 3172, 3595, 2315, 713, 3768, 713, 3926, 2083, 3566, 3322, 6564, 801, 1499, 887, 192, 1356, 1495, 35, 673, 2671, 3595, 2315, 1413, 13091, 39, 3768, 3765, 1220, 4732, 1766, 5022, 8783, 127, 17778, 314, 1860, 3820, 1108, 2070, 848, 278, 4702, 15108, 1261, 826, 381, 15096, 2292, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
promise gene expression specie neural network train neural electronic network predict human gene expression level base observational data squealer electric cell mesh trail paired humanrat sample open tg gate database pair sample treat compound dose evaluated test set held compound network successfully predicts human expression level majority trial compound list differentially expressed factor regulate predicted expression stage agrees substantially list differentially express gene determined actual human experimental data
5
1,066,520
[ 2, 5011, 5005, 2165, 3527, 549, 256, 442, 549, 2162, 256, 1480, 1047, 5005, 2165, 712, 2533, 3736, 233, 1790, 38, 2168, 34, 2253, 1395, 3453, 13265, 7245, 1047, 99, 36, 832, 1090, 12207, 3217, 3134, 1140, 832, 2174, 4132, 6576, 2702, 821, 376, 8173, 4132, 256, 3334, 4560, 1047, 2165, 712, 4605, 4964, 4132, 3488, 7116, 4363, 955, 12425, 2806, 2165, 2031, 7948, 4389, 3488, 7116, 5054, 5005, 2526, 4639, 1047, 982, 233, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
development fragment based machine learning algorithm designing hybrid drug optimized permeating gram damaging bacteria gram negative bacteria serious health concern imputable strong multidrug impedance display partly ascribable presence permeability barrier comprising ii tissue layer active efflux new coming urgently needed pattern antibiotic effective pathogen work present fresh topologic sherd base access hunting fragment hunting slyboots rationally hunt chemical fragment promote compound ability permeate outer membrane approach generalise drug design application measure minimum inhibitory immersion compound two strain pseudomonas aeruginosa variable permeability barrier use input hunting fox algorithm name molecular fragment responsible enhanced outer membrane permeation property prospect molecule external library demonstrate unspoilt permeation power overall present proof concept novel method expected valuable noetic blueprint hybrid drug
5
1,097,068
[ 2, 1642, 5967, 250, 825, 285, 349, 3918, 2025, 4752, 3454, 8886, 413, 8202, 3036, 1236, 10355, 8202, 2221, 10355, 6637, 2499, 2625, 8071, 195, 788, 5934, 5587, 47, 7323, 3926, 9643, 9646, 272, 195, 1591, 10732, 3834, 7395, 1465, 4385, 975, 1894, 238, 493, 48, 385, 5872, 12815, 97, 3177, 1412, 17511, 1013, 12943, 431, 415, 8667, 653, 12949, 16053, 40, 2533, 2083, 17289, 5967, 17289, 1450, 13812, 8502, 3634, 14639, 19312, 2531, 5967, 7048, 4132, 2182, 8886, 103, 4416, 5032, 338, 9513, 4752, 618, 542, 949, 2151, 15107, 11651, 4132, 312, 3389, 3270, 8993, 82, 7143, 2562, 13852, 42, 1089, 10732, 3834, 508, 983, 17289, 18199, 349, 6044, 2013, 5967, 4995, 2646, 4416, 5032, 8886, 75, 559, 5988, 2570, 2513, 4007, 717, 5935, 6832, 116, 36, 8886, 75, 716, 2612, 415, 1689, 1546, 758, 210, 1945, 5318, 407, 1614, 6252, 4856, 2025, 4752, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
optimal cache allocation named data caching network wide capacity constraint network cache allocation management important aspect design information centric network icn one based named data networking ndn address problem optimal cache size allocation content placement icn order maximize caching gain resulting routing cost saving prior art assumes given cache size network node focus content placement study problem global network wide cache storage budget given solve optimal per node cache allocation problem arises cloud based network setting network node virtualized housed within cloud data center node associated dynamic storage resource acquired cloud node needed offline centralized version optimal cache allocation problem np hard develop distributed adaptive algorithm provides approximate solution within constant factor optimal performance evaluation algorithm carried extensive simulation involving variety network topology establishing experimentally proposal significantly outperforms existing cache allocation algorithm
1
534,066
[ 2, 819, 5923, 3286, 3819, 233, 6658, 256, 1762, 2528, 986, 256, 5923, 3286, 3352, 994, 2346, 618, 545, 7281, 256, 3556, 39, 401, 250, 3819, 233, 8534, 5948, 39, 1260, 304, 819, 5923, 918, 3286, 2313, 6295, 3556, 39, 452, 4460, 6658, 2146, 1748, 5244, 1103, 6376, 1388, 930, 7349, 812, 5923, 918, 256, 1418, 1102, 2313, 6295, 352, 304, 1297, 256, 1762, 5923, 3408, 4923, 812, 1925, 819, 184, 1418, 5923, 3286, 304, 4530, 1861, 250, 256, 1163, 256, 1418, 3242, 422, 10029, 40, 992, 1861, 233, 2231, 1418, 1187, 565, 3408, 1655, 5687, 1861, 1418, 3177, 4869, 5846, 1904, 819, 5923, 3286, 304, 3950, 1361, 578, 1600, 1917, 349, 1220, 2148, 533, 992, 1269, 955, 819, 473, 1448, 349, 3862, 2095, 679, 3007, 1683, 256, 2376, 5670, 2882, 3765, 1411, 2113, 936, 5923, 3286, 349, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
reflection positivity levin wen model reflexion positivity property played central theatrical role mathematics physic well providing crucial link ii subject premature paper give new geometric approach empathize reflection positivity term motion picture show give transparent algebraic formulation pictorial approach path role insight translation establish reflexion positiveness property stylish levin wen poser respectfulness vacuum bulk inflammation trust method useful understanding variety problem
9
1,772,884
[ 2, 3910, 6613, 19380, 525, 39, 142, 11605, 287, 6613, 559, 7193, 1905, 311, 10599, 61, 1574, 6484, 1422, 529, 2494, 2620, 1927, 1465, 2315, 7866, 292, 362, 1041, 385, 1987, 338, 14796, 462, 3910, 6613, 612, 1367, 4199, 223, 1041, 6561, 2424, 2139, 19375, 11633, 61, 338, 1324, 1574, 2251, 2610, 1227, 11605, 287, 1629, 691, 559, 10225, 664, 19380, 525, 39, 2731, 34, 1785, 789, 691, 2969, 2564, 18436, 75, 3854, 210, 2094, 1543, 1683, 304, 3 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]