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We study the performance of a stochastic algorithm based on the power method that adaptively learns the large deviation functions characterizing the fluctuations of additive functionals of Markov processes, used in physics to model…

统计力学 · 物理学 2023-03-30 Francesco Coghi , Hugo Touchette

We consider a preferential attachment random graph with self-reinforcement. Each time a new vertex comes in, it attaches itself to an old vertex with a probability that is proportional to the sum of the degrees of that old vertex at all…

概率论 · 数学 2025-07-29 Yogesh Dahiya , Frank den Hollander

In this paper, we present a robotic model-based reinforcement learning method that combines ideas from model identification and model predictive control. We use a feature-based representation of the dynamics that allows the dynamics model…

机器学习 · 计算机科学 2016-03-16 Christopher Xie , Sachin Patil , Teodor Moldovan , Sergey Levine , Pieter Abbeel

Learning from demonstration has proven effective in robotics for acquiring natural behaviors, such as stylistic motions and lifelike agility, particularly when explicitly defining style-oriented reward functions is challenging. Synthesizing…

机器人学 · 计算机科学 2025-09-24 Kehan Wen , Chenhao Li , Junzhe He , Marco Hutter

AI methods are used in societally important settings, ranging from credit to employment to housing, and it is crucial to provide fairness in regard to algorithmic decision making. Moreover, many settings are dynamic, with populations…

机器学习 · 计算机科学 2022-11-09 Zhun Deng , He Sun , Zhiwei Steven Wu , Linjun Zhang , David C. Parkes

A version of ``preferential attachment'' random graphs, corresponding to linear ``weights'' with random ``edge additions,'' which generalizes some previously considered models, is studied. This graph model is embedded in a continuous-time…

概率论 · 数学 2007-05-23 K. B. Athreya , A. P. Ghosh , S. Sethuraman

Diffusion models generate samples through an iterative denoising process, guided by a neural network. While training the denoiser on real-world data is computationally demanding, the sampling procedure itself is more flexible. This…

机器学习 · 计算机科学 2026-02-10 Constant Bourdrez , Alexandre Vérine , Olivier Cappé

Minimizing empirical risk subject to a set of constraints can be a useful strategy for learning restricted classes of functions, such as monotonic functions, submodular functions, classifiers that guarantee a certain class label for some…

机器学习 · 计算机科学 2016-10-26 Andrew Cotter , Maya Gupta , Jan Pfeifer

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

系统与控制 · 电气工程与系统科学 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

Stochastic optimal control problems have a long tradition in applied probability, with the questions addressed being of high relevance in a multitude of fields. Even though theoretical solutions are well understood in many scenarios, their…

统计理论 · 数学 2024-05-28 Sören Christensen , Claudia Strauch , Lukas Trottner

Reinforcement learning (RL) commonly relies on scalar rewards with limited ability to express temporal, conditional, or safety-critical goals, and can lead to reward hacking. Temporal logic expressible via the more general class of…

人工智能 · 计算机科学 2025-11-26 Dominik Wagner , Leon Witzman , Luke Ong

In this paper, we consider a class of stochastic optimal control problems with risk constraints that are expressed as bounded probabilities of failure for particular initial states. We present here a martingale approach that diffuses a risk…

系统与控制 · 计算机科学 2015-07-09 Vu Anh Huynh , Leonid Kogan , Emilio Frazzoli

How do humans and animals perform trial-and-error learning when the space of possibilities is infinite? In a previous study, we used an interval timing production task and discovered an updating strategy in which the agent adjusted the…

神经元与认知 · 定量生物学 2022-05-10 Jing Wang , Yousuf El-Jayyousi , Ilker Ozden

In many sequential decision-making problems one is interested in minimizing an expected cumulative cost while taking into account \emph{risk}, i.e., increased awareness of events of small probability and high consequences. Accordingly, the…

人工智能 · 计算机科学 2017-04-07 Yinlam Chow , Mohammad Ghavamzadeh , Lucas Janson , Marco Pavone

Reinforcement learning (RL) problems are fundamental in online decision-making and have been instrumental in finding an optimal policy for Markov decision processes (MDPs). Function approximations are usually deployed to handle large or…

机器学习 · 计算机科学 2025-05-20 Jiashuo Jiang , Yiming Zong , Yinyu Ye

Inverse reinforcement learning attempts to reconstruct the reward function in a Markov decision problem, using observations of agent actions. As already observed in Russell [1998] the problem is ill-posed, and the reward function is not…

机器学习 · 计算机科学 2021-11-09 Haoyang Cao , Samuel N. Cohen , Lukasz Szpruch

We describe a new class of self-similar symmetric $\alpha$-stable processes with stationary increments arising as a large time scale limit in a situation where many users are earning random rewards or incurring random costs. The resulting…

概率论 · 数学 2007-05-23 Serge Cohen , Gennady Samorodnitsky

We study stochastic effects on the lagging anchor dynamics, a reinforcement learning algorithm used to learn successful strategies in iterated games, which is known to converge to Nash points in the absence of noise. The dynamics is…

适应与自组织系统 · 物理学 2012-04-20 James B. T. Sanders , Tobias Galla , Jonathan Shapiro

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

最优化与控制 · 数学 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

We propose a general framework for entropy-regularized average-reward reinforcement learning in Markov decision processes (MDPs). Our approach is based on extending the linear-programming formulation of policy optimization in MDPs to…

机器学习 · 计算机科学 2017-05-23 Gergely Neu , Anders Jonsson , Vicenç Gómez