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We propose decentralized primal-dual methods for cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the…

最优化与控制 · 数学 2022-02-23 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

By time discretization of a second-order primal-dual dynamical system with damping $\alpha/t$ where an inertial construction in the sense of Nesterov is needed only for the primal variable, we propose a fast primal-dual algorithm for a…

最优化与控制 · 数学 2022-06-06 Xin He , Rong Hu , Ya-Ping Fang

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

人工智能 · 计算机科学 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

机器学习 · 计算机科学 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

We study stochastic planning problems in Markov Decision Processes (MDPs) with goals specified in Linear Temporal Logic (LTL). The state-of-the-art approach transforms LTL formulas into good-for-MDP (GFM) automata, which feature a…

形式语言与自动机理论 · 计算机科学 2025-11-18 Christoph Weinhuber , Giuseppe De Giacomo , Yong Li , Sven Schewe , Qiyi Tang

In this paper, we propose a novel framework for approximating the explicit MPC policy for linear parameter-varying systems using supervised learning. Our learning scheme guarantees feasibility and near-optimality of the approximated MPC…

系统与控制 · 电气工程与系统科学 2019-12-11 Xiaojing Zhang , Monimoy Bujarbaruah , Francesco Borrelli

We consider a broad class of dynamic programming (DP) problems that involve a partially linear structure and some positivity properties in their system equation and cost function. We address deterministic and stochastic problems, possibly…

最优化与控制 · 数学 2026-04-21 Yuchao Li , Dimitri Bertsekas

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

最优化与控制 · 数学 2022-05-02 Johannes Müller , Guido Montúfar

Policy evaluation is a crucial step in many reinforcement-learning procedures, which estimates a value function that predicts states' long-term value under a given policy. In this paper, we focus on policy evaluation with linear function…

机器学习 · 计算机科学 2017-06-12 Simon S. Du , Jianshu Chen , Lihong Li , Lin Xiao , Dengyong Zhou

Partially Observable Markov Decision Processes (POMDPs) are a natural and general model in reinforcement learning that take into account the agent's uncertainty about its current state. In the literature on POMDPs, it is customary to assume…

机器学习 · 计算机科学 2022-03-24 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

We propose a new framework for generative modeling based on a discrete-time stochastic control formulation of measure transport. Adapting classic results from control theory, we formulate our problem as a linear program whose dual variables…

机器学习 · 计算机科学 2026-05-22 Pablo Moreno-Muñoz , Adrian Müller , Gergely Neu

We consider large-scale Markov decision processes (MDPs) with parameter uncertainty, under the robust MDP paradigm. Previous studies showed that robust MDPs, based on a minimax approach to handle uncertainty, can be solved using dynamic…

机器学习 · 计算机科学 2013-06-27 Aviv Tamar , Huan Xu , Shie Mannor

The proximal policy optimization (PPO) algorithm stands as one of the most prosperous methods in the field of reinforcement learning (RL). Despite its success, the theoretical understanding of PPO remains deficient. Specifically, it is…

机器学习 · 计算机科学 2023-06-09 Han Zhong , Tong Zhang

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

机器人学 · 计算机科学 2015-07-14 Jingjin Yu , Daniela Rus

The present work extends the randomized shortest-paths framework (RSP), interpolating between shortest-path and random-walk routing in a network, in three directions. First, it shows how to deal with equality constraints on a subset of…

机器学习 · 计算机科学 2018-07-13 Bertrand Lebichot , Guillaume Guex , Ilkka Kivimäki , Marco Saerens

Partially-Observable Markov Decision Processes (POMDPs) are typically solved by finding an approximate global solution to a corresponding belief-MDP. In this paper, we offer a new planning algorithm for POMDPs with continuous state, action…

人工智能 · 计算机科学 2012-03-19 Tom Erez , William D. Smart

World models simulate environment dynamics from raw sensory inputs like video. However, using them for planning can be challenging due to the vast and unstructured search space. We propose a robust and highly parallelizable planner that…

机器学习 · 计算机科学 2026-02-03 Michael Psenka , Michael Rabbat , Aditi Krishnapriyan , Yann LeCun , Amir Bar

Planning plays an important role in the broad class of decision theory. Planning has drawn much attention in recent work in the robotics and sequential decision making areas. Recently, Reinforcement Learning (RL), as an agent-environment…

人工智能 · 计算机科学 2016-08-18 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

In contrast with many other convex optimization classes, state-of-the-art semidefinite programming solvers are yet unable to efficiently solve large scale instances. This work aims to reduce this scalability gap by proposing a novel…

最优化与控制 · 数学 2018-12-20 Mario Souto , Joaquim D. Garcia , Alvaro Veiga
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