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  • Optimal Transport in Learning, Control, and Dynamical Systems
    Optimal transport takes dual roles as it induces a mathematically well-characterized distance measure between distributions as well as provides a geometry-based approach to realize mappings between two probability distributions In this section, we intro-duce the mathematical foundations of the static OT problem
  • Optimal Transport in Systems and Control - Annual Reviews
    These intertwined topics of optimal transport, stochastic control, and inference are the subject of this review, which aims to highlight connections, insights, and computational tools while touching on quadratic regulator theory and probabilistic flows in discrete spaces and networks
  • Deep Learning Theory Review: An Optimal Control and Dynamical Systems . . .
    In this article, we provide one possible way to align existing branches of deep learning theory through the lens of dynamical system and optimal control By viewing deep neural networks as discrete-time nonlinear dynamical systems, we can analyze how information propagates through layers using mean field theory
  • Introduction to Optimal Transport for Deep Learning
    This video tutorial on Optimal Transport in Learning, Control and Dynamical Systems, presented by Marco Cuturi and Charlotte Bunne at ICML 2023 Optimal transport is rather easily usable in Python with the help of two main libraries below
  • Optimal Transport for Applications in Control and Estimation
    These advancements have developed optimal transport into an extensive framework with a large set of theoretical and computational tools that can be used to address problems in the areas of systems, control, and estimation
  • Optimal Transport: A Comprehensive Introduction to Modeling, Analysis . . .
    In this introduction we formulate the Monge and Kantorovich optimal transport problems, survey basic questions one would like to answer, and discuss interesting examples Our examples illustrate basic phenomena and different application areas
  • Optimal Transport in Systems and Control - ResearchGate
    These intertwined topics of optimal transport, stochastic control, and inference are the subject of this review, which aims to highlight connections, insights, and computational tools while
  • changwxx Awesome-Optimal-Transport-in-Deep-Learning
    This repo is a collection of AWESOME things about 🌟 Optimal Transport in Deep Learning 🌟, including useful materials, papers, code Feel free to star and fork TODO: Open-Set Partial Universal DA Novel Class Discovery [Arxiv 2017] Wasserstein GAN [Code] [pdf] [NeurIPS 2017] Improved Training of Wasserstein GANs [Code] [pdf]
  • GitHub Pages
    This tutorial aims to introduce pivotal computational, practical aspects of OT as well as applications of OT for unsupervised learning problems In the tutorial, we will provide a selected, compact, and comprehensive background of optimal transport that is useful in machine learning research





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