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A Numerical example of the EF problem

Neural Information Processing Systems

Only the constraints are presented here. Then, eq. 2 can be reformulated as follow: The complete optimal allocation of eq. 3 can be summarized by the following python script: """EF evaluation """ import copy import logging import os import cvxopt import numpy as np scalar = 10000 def cvxopt_solve_qp(P, q, G= None, h= None, **kwargs): P = 0.5 * (P + P.T) # make sure P is symmetric args = [cvxopt.matrix(P), The remaining two cases are additional edge cases related to the previous condition. The size and description of the dataset we used are presented in table. (see Table 6).


Fν(x) xi exp(h t) xi dt |t=0 =nX

Neural Information Processing Systems

For the synthetic regression task, it suffices to use only0.25% of the training samples to extract the symmetry as precisely as when utilizing all available training data. Symmetries are extracted from the models with the highest validation accuracyover300training epochs.


DifferentiableMultipleShootingLayers SupplementaryMaterial

Neural Information Processing Systems

Let φθ(z,s,t) be the solution of (2.1). In this paper,we propose to either use the forward sensitivity approach ofProposition 1ortorelyonthezeroth-order approximation ofparareal. Interpolation is used to obtain values ofz(t)without a full backsolve from z(T). C.5 BroaderImpact Differential equations are the language of science and engineering. We consider a parametrizationu,θ with parametersθ of the boundary controllerπ via a multi-layerperceptron.




RelationalSelf-Attention: What'sMissinginAttentionforVideoUnderstanding SupplementaryMaterial

Neural Information Processing Systems

Forthebottlenecks including RSAlayers, werandomly initializeweights using MSRA initialization [3] and set the gamma parameter of the last batch normalization layer to zero. We implement our model based on TSN in Pytorch2 under BSD 2-Clause license. All the benchmarks that we used are commonly used datasets for the academic purpose. While specified otherwise, the training and testing details are the sameasthoseinSec.5.1. Since each RSA kernel generated by each query captures a distinct motion pattern, the model can learn diverse motion features(seeFigure3). Inthisexperiment,wechooseL = 8asthedefault.