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We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors trajectories in the tail of the distribution of displacements,…

统计力学 · 物理学 2018-05-25 Diego Tapias , David P. Sanders , Eduardo G. Altmann

The recently-introduced self-learning Monte Carlo method is a general-purpose numerical method that speeds up Monte Carlo simulations by training an effective model to propose uncorrelated configurations in the Markov chain. We implement…

强关联电子 · 物理学 2017-10-11 Yuki Nagai , Huitao Shen , Yang Qi , Junwei Liu , Liang Fu

We develop a Monte-Carlo based numerical method for solving discrete-time stochastic optimal control problems with inventory. These are optimal control problems in which the control affects only a deterministically evolving inventory…

最优化与控制 · 数学 2018-02-05 Alessandro Balata , Jan Palczewski

Today's automated vehicles lack the ability to cooperate implicitly with others. This work presents a Monte Carlo Tree Search (MCTS) based approach for decentralized cooperative planning using macro-actions for automated vehicles in…

人工智能 · 计算机科学 2020-02-04 Karl Kurzer , Chenyang Zhou , J. Marius Zöllner

Monte-Carlo tree search (MCTS) has driven many recent breakthroughs in deep reinforcement learning (RL). However, scaling MCTS to parallel compute has proven challenging in practice which has motivated alternative planners like sequential…

机器学习 · 计算机科学 2025-07-09 Joery A. de Vries , Jinke He , Yaniv Oren , Matthijs T. J. Spaan

This paper presents an algorithmic study and complexity analysis for solving distributionally robust multistage convex optimization (DR-MCO). We generalize the usual consecutive dual dynamic programming (DDP) algorithm to DR-MCO and propose…

最优化与控制 · 数学 2024-01-05 Shixuan Zhang , Xu Andy Sun

Interpretable reinforcement learning policies are essential for high-stakes decision-making, yet optimizing decision tree policies in Markov Decision Processes (MDPs) remains challenging. We propose SPOT, a novel method for computing…

机器学习 · 计算机科学 2025-10-23 Xuyuan Xiong , Pedro Chumpitaz-Flores , Kaixun Hua , Cheng Hua

We extend the Longstaff-Schwartz algorithm for approximately solving optimal stopping problems on high-dimensional state spaces. We reformulate the optimal stopping problem for Markov processes in discrete time as a generalized statistical…

概率论 · 数学 2007-05-23 Daniel Egloff

In this article we consider computing expectations w.r.t.~probability laws associated to a certain class of stochastic systems. In order to achieve such a task, one must not only resort to numerical approximation of the expectation, but…

统计计算 · 统计学 2017-10-30 Ajay Jasra , Kengo Kamatani , Kody Law , Yan Zhou

Real-world distributed systems and networks are often unreliable and subject to random failures of its components. Such a stochastic behavior affects adversely the complexity of optimization tasks performed routinely upon such systems, in…

人工智能 · 计算机科学 2012-12-12 Milos Hauskrecht , Tomas Singliar

Currently, large partially observable Markov decision processes (POMDPs) are often solved by sampling-based online methods which interleave planning and execution phases. However, a pre-computed offline policy is more desirable in POMDP…

人工智能 · 计算机科学 2025-07-29 Yang You , Vincent Thomas , Alex Schutz , Robert Skilton , Nick Hawes , Olivier Buffet

The combination of exponentially large action spaces, stochastic dynamics, and long-horizon decision-making under limited resources makes Sequential Stochastic Combinatorial Optimization (SSCO) particularly challenging for reinforcement…

机器学习 · 计算机科学 2026-05-19 Vivienne Huiling Wang , Tinghuai Wang , Joni Pajarinen

The key assumption underlying linear Markov Decision Processes (MDPs) is that the learner has access to a known feature map $\phi(x, a)$ that maps state-action pairs to $d$-dimensional vectors, and that the rewards and transitions are…

机器学习 · 计算机科学 2023-09-20 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

Gradient-based methods are often used for policy optimization in deep reinforcement learning, despite being vulnerable to local optima and saddle points. Although gradient-free methods (e.g., genetic algorithms or evolution strategies) help…

机器学习 · 计算机科学 2019-12-24 Xiaobai Ma , Katherine Driggs-Campbell , Zongzhang Zhang , Mykel J. Kochenderfer

Piecewise deterministic Markov processes (PDMPs) are a type of continuous-time Markov process that combine deterministic flows with jumps. Recently, PDMPs have garnered attention within the Monte Carlo community as a potential alternative…

统计方法学 · 统计学 2024-10-23 Joris Bierkens , Kengo Kamatani , Gareth O. Roberts

The ability of a robot to plan complex behaviors with real-time computation, rather than adhering to predesigned or offline-learned routines, alleviates the need for specialized algorithms or training for each problem instance. Monte Carlo…

机器人学 · 计算机科学 2024-12-17 Benjamin Riviere , John Lathrop , Soon-Jo Chung

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by…

统计计算 · 统计学 2020-08-10 Vasyl Hafych , Philipp Eller , Oliver Schulz , Allen Caldwell

In this article, we discuss how to solve information-gathering problems expressed as rho-POMDPs, an extension of Partially Observable Markov Decision Processes (POMDPs) whose reward rho depends on the belief state. Point-based approaches…

人工智能 · 计算机科学 2021-03-23 Vincent Thomas , Gérémy Hutin , Olivier Buffet

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

机器学习 · 统计学 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

In this work, we study discrete-time Markov decision processes (MDPs) under constraints with Borel state and action spaces and where all the performance functions have the same form of the expected total reward (ETR) criterion over the…

概率论 · 数学 2019-05-10 F. Dufour , Alexandre Genadot