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The Robust Regularized Markov Decision Process (RRMDP) is proposed to learn policies robust to dynamics shifts by adding regularization to the transition dynamics in the value function. Existing methods mostly use unstructured…

Machine Learning · Computer Science 2025-11-03 Cheng Tang , Zhishuai Liu , Pan Xu

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

The randomized singular value decomposition (RSVD) is by now a well established technique for efficiently computing an approximate singular value decomposition of a matrix. Building on the ideas that underpin the RSVD, the recently proposed…

Mathematical Software · Computer Science 2021-04-14 N. Heavner , F. D. Igual , G. Quintana-Ortí , P. G. Martinsson

Instrumental variable (IV) regression is a standard strategy for learning causal relationships between confounded treatment and outcome variables from observational data by utilizing an instrumental variable, which affects the outcome only…

Machine Learning · Computer Science 2023-06-28 Liyuan Xu , Yutian Chen , Siddarth Srinivasan , Nando de Freitas , Arnaud Doucet , Arthur Gretton

We study the policy evaluation problem in multi-agent reinforcement learning. In this problem, a group of agents works cooperatively to evaluate the value function for the global discounted accumulative reward problem, which is composed of…

Optimization and Control · Mathematics 2019-06-04 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

The goal of this paper is to study a distributed version of the gradient temporal-difference (GTD) learning algorithm for multi-agent Markov decision processes (MDPs). The temporal difference (TD) learning is a reinforcement learning (RL)…

Optimization and Control · Mathematics 2018-08-23 Donghwan Lee , Hyungjin Yoon , Naira Hovakimyan

A new algorithm to compute the restricted singular value decomposition of dense matrices is presented. Like Zha's method \cite{Zha92}, the new algorithm uses an implicit Kogbetliantz iteration, but with four major innovations. The first…

Numerical Analysis · Mathematics 2020-02-13 Ian N. Zwaan

Imitation learning, followed by reinforcement learning algorithms, is a promising paradigm to solve complex control tasks sample-efficiently. However, learning from demonstrations often suffers from the covariate shift problem, which…

Machine Learning · Computer Science 2019-10-14 Yuping Luo , Huazhe Xu , Tengyu Ma

Dynamic Programming (DP) provides standard algorithms to solve Markov Decision Processes. However, these algorithms generally do not optimize a scalar objective function. In this paper, we draw connections between DP and (constrained)…

Machine Learning · Computer Science 2019-10-30 Nino Vieillard , Olivier Pietquin , Matthieu Geist

Traditional numerical techniques for solving time-dependent partial-differential-equation (PDE) initial-value problems (IVPs) store a truncated representation of the function values and some number of their time derivatives at each time…

Numerical Analysis · Mathematics 2011-09-08 Hal Finkel

We study off-dynamics Reinforcement Learning (RL), where the policy is trained on a source domain and deployed to a distinct target domain. We aim to solve this problem via online distributionally robust Markov decision processes (DRMDPs),…

Machine Learning · Computer Science 2024-02-26 Zhishuai Liu , Pan Xu

We present a novel acceleration technique for improving the convergence of source iteration for discrete ordinates transport calculations. Our approach uses the idea of the dynamic mode decomposition (DMD) to estimate the slowly decaying…

Computational Physics · Physics 2018-12-14 Ryan G. McClarren , Terry S. Haut

We propose an algorithm for computing Stratonovich's value of information (VoI) that can be regarded as an analogue of the distortion-rate function. We construct an alternating optimization algorithm for VoI under a general information…

Information Theory · Computer Science 2022-05-10 Akira Kamatsuka , Takahiro Yoshida , Koki Kazama , Toshiyasu Matsushima

Value decomposition (VD) methods have achieved remarkable success in cooperative multi-agent reinforcement learning (MARL). However, their reliance on the max operator for temporal-difference (TD) target calculation leads to systematic…

Multiagent Systems · Computer Science 2026-02-27 Yuanjun Li , Bin Zhang , Hao Chen , Zhouyang Jiang , Dapeng Li , Zhiwei Xu

Modified policy iteration (MPI) is a dynamic programming (DP) algorithm that contains the two celebrated policy and value iteration methods. Despite its generality, MPI has not been thoroughly studied, especially its approximation form…

Artificial Intelligence · Computer Science 2012-05-21 Bruno Scherrer , Victor Gabillon , Mohammad Ghavamzadeh , Matthieu Geist

Markov Decision Processes are classically solved using Value Iteration and Policy Iteration algorithms. Recent interest in Reinforcement Learning has motivated the study of methods inspired by optimization, such as gradient ascent. Among…

Machine Learning · Computer Science 2021-05-05 Sajad Khodadadian , Prakirt Raj Jhunjhunwala , Sushil Mahavir Varma , Siva Theja Maguluri

Various Neural Networks employ time-consuming matrix operations like matrix inversion. Many such matrix operations are faster to compute given the Singular Value Decomposition (SVD). Previous work allows using the SVD in Neural Networks…

Machine Learning · Computer Science 2020-09-30 Alexander Mathiasen , Frederik Hvilshøj , Jakob Rødsgaard Jørgensen , Anshul Nasery , Davide Mottin

Singular Value Decomposition (SVD) is one of the most useful techniques for analyzing data in linear algebra. SVD decomposes a rectangular real or complex matrix into two orthogonal matrices and one diagonal matrix. In this work we…

Quantum Physics · Physics 2012-07-31 Laszlo Gyongyosi , Sandor Imre

While value iteration (VI) is a standard solution approach to simple stochastic games (SSGs), it suffered from the lack of a stopping criterion. Recently, several solutions have appeared, among them also "optimistic" VI (OVI). However, OVI…

Computer Science and Game Theory · Computer Science 2022-08-01 Muqsit Azeem , Alexandros Evangelidis , Jan Křetínský , Alexander Slivinskiy , Maximilian Weininger

Partially Observable Markov Decision Processes (POMDPs) are fundamental to decision-making under uncertainty. We introduce a novel scalable approach to accelerate upper bound estimation in Point-Based Value Iteration (PBVI) algorithms, the…

Optimization and Control · Mathematics 2025-03-13 Siqiong Zhou , Ashif S. Iquebal , Esma S. Gel
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