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Deep learning tools have gained tremendous attention in applied machine learning. However such tools for regression and… Expand Inspired by recent work in machine translation and object detection, we introduce an attention based model that automatically… Expand Abstract: How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous… Expand We propose a generative model for text and other collections of discrete data that generalizes or improves on several previous… Expand Many problems in information processing involve some form of dimensionality reduction. In this paper, we introduce Locality… Expand Newton Methods for Nonsmooth Equations.- Global Methods for Nonsmooth Equations.- Equation-Based Algorithms for Complementarity… Expand I. Mathematical Foundation of the Stokes Problem.- 1. Generalities on Some Elliptic Boundary Value Problems.- 1.1. Basic Concepts… Expand The time-dependent variational principle (TDVP).- Lie algebras and symplectic structures.- Symplectic structure on group… Expand It is frequently explicitly or implicitly assumed that if a variational principle is invariant under some symmetry groupG, then… Expand The variational principle states that if a differentiable functional F attains its minimum at some point zi, then F’(C) = 0; it… Expand