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As data-driven methods are deployed in real-world settings, the processes that generate the observed data will often react to the decisions of the learner. For example, a data source may have some incentive for the algorithm to provide a…

机器学习 · 计算机科学 2023-04-26 Roy Dong , Heling Zhang , Lillian J. Ratliff

We are interested in risk constraints for infinite horizon discrete time Markov decision processes (MDPs). Starting with average reward MDPs, we show that increasing concave stochastic dominance constraints on the empirical distribution of…

最优化与控制 · 数学 2012-06-21 William B. Haskell , Rahul Jain

We consider multi-armed bandit problems in social groups wherein each individual has bounded memory and shares the common goal of learning the best arm/option. We say an individual learns the best option if eventually (as $t \to \infty$) it…

机器学习 · 计算机科学 2018-11-13 Lili Su , Martin Zubeldia , Nancy Lynch

We study sample complexity of optimizing "hill-climbing friendly" functions defined on a graph under noisy observations. We define a notion of convexity, and we show that a variant of best-arm identification can find a near-optimal solution…

机器学习 · 计算机科学 2020-06-05 Tan Nguyen , Ali Shameli , Yasin Abbasi-Yadkori , Anup Rao , Branislav Kveton

In this paper, we consider reinforcement learning of Markov Decision Processes (MDP) with peak constraints, where an agent chooses a policy to optimize an objective and at the same time satisfy additional constraints. The agent has to take…

最优化与控制 · 数学 2019-12-09 Ather Gattami

This paper aims to establish an entropy-regularized value-based reinforcement learning method that can ensure the monotonic improvement of policies at each policy update. Unlike previously proposed lower-bounds on policy improvement in…

机器学习 · 计算机科学 2020-08-26 Lingwei Zhu , Takamitsu Matsubara

In this paper, we investigate dynamic feature selection within multivariate time-series scenario, a common occurrence in clinical prediction monitoring where each feature corresponds to a bio-test result. Many existing feature selection…

机器学习 · 计算机科学 2024-05-31 Yutong Chen , Jiandong Gao , Ji Wu

In this paper, we study the distributionally robust joint chance constrained Markov decision process. {Utilizing the logarithmic transformation technique,} we derive its deterministic reformulation with bi-convex terms under the…

最优化与控制 · 数学 2024-01-03 Tian Xia , Jia Liu , Zhiping Chen

A step-reinforced random walk is a discrete-time non-Markovian process with long range memory. At each step, with a fixed probability p, the positively step-reinforced random walk repeats one of its preceding steps chosen uniformly at…

概率论 · 数学 2023-11-28 Zhishui Hu , Yiting Zhang

We analyze a stochastic approximation algorithm for decision-dependent problems, wherein the data distribution used by the algorithm evolves along the iterate sequence. The primary examples of such problems appear in performative prediction…

最优化与控制 · 数学 2024-05-15 Joshua Cutler , Mateo Díaz , Dmitriy Drusvyatskiy

Stochastic resetting, where a dynamical process is intermittently returned to a fixed reference state, has emerged as a powerful mechanism for optimizing first-passage properties. Existing theory largely treats static, non-learning…

机器学习 · 计算机科学 2026-03-18 Jello Zhou , Vudtiwat Ngampruetikorn , David J. Schwab

Stochastic approximation is a powerful class of algorithms with celebrated success. However, a large body of previous analysis focuses on stochastic approximations driven by contractive operators, which is not applicable in some important…

机器学习 · 计算机科学 2025-11-21 Ethan Blaser , Shangtong Zhang

Reinforcement-based learning has attracted considerable attention both in modeling human behavior as well as in engineering, for designing measurement- or payoff-based optimization schemes. Such learning schemes exhibit several advantages,…

机器学习 · 计算机科学 2025-11-26 Georgios C. Chasparis

We consider multi-armed bandit problems in social groups wherein each individual has bounded memory and shares the common goal of learning the best arm/option. We say an individual learns the best option if eventually (as $t\to \infty$) it…

分布式、并行与集群计算 · 计算机科学 2018-12-27 Lili Su , Martin Zubeldia , Nancy Lynch

We study a discrete-time consensus model in which agents iteratively update their states through interactions on a dynamic social network. At each step, a single agent is selected asynchronously and averages the values of its current…

系统与控制 · 计算机科学 2025-12-29 Hsin-Lun Li

This paper considers a class of reinforcement-learning that belongs to the family of Learning Automata and provides a stochastic-stability analysis in strategic-form games. For this class of dynamics, convergence to pure Nash equilibria has…

计算机科学与博弈论 · 计算机科学 2017-02-28 Georgios C. Chasparis

We prove that the restriction of the vertex-reinforced jump process to a subset of the vertex set is a mixture of vertex-reinforced jump processes. A similar statement holds for the non-linear hyperbolic supersymmetric sigma model. This is…

概率论 · 数学 2024-11-12 Margherita Disertori , Franz Merkl , Silke W. W. Rolles

A dynamical system may be defined by a simple transition law - such as a map or a vector field. The objective of most learning techniques is to reconstruct this dynamic transition law. This is a major shortcoming, as most dynamic properties…

动力系统 · 数学 2024-09-10 Suddhasattwa Das

This article introduces a model for interacting vertex-reinforced random walks, each taking values on a complete sub-graph of a locally finite undirected graph. The transition probability for a walk to a given vertex depends on the…

概率论 · 数学 2025-08-25 Fernando P. A. Prado , Rafael A. Rosales

We address the problem of reinforcement learning in which observations may exhibit an arbitrary form of stochastic dependence on past observations and actions, i.e. environments more general than (PO)MDPs. The task for an agent is to attain…

机器学习 · 计算机科学 2009-12-30 Daniil Ryabko , Marcus Hutter