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We study replicable algorithms for stochastic multi-armed bandits (MAB) and linear bandits with UCB (Upper Confidence Bound) based exploration. A bandit algorithm is $\rho$-replicable if two executions using shared internal randomness but…

Machine Learning · Computer Science 2026-04-23 Rohan Deb , Udaya Ghai , Karan Singh , Arindam Banerjee

Reduced Order Models (ROMs) are of considerable importance in many areas of engineering in which computational time presents difficulties. Established approaches employ projection-based reduction such as Proper Orthogonal Decomposition,…

Numerical Analysis · Mathematics 2023-04-26 Thomas Simpson , Konstantinos Vlachas , Anthony Garland , Nikolaos Dervilis , Eleni Chatzi

In this paper, we propose a novel perturbation-based exploration method in bandit algorithms with bounded or unbounded rewards, called residual bootstrap exploration (\texttt{ReBoot}). The \texttt{ReBoot} enforces exploration by injecting…

Machine Learning · Statistics 2020-02-21 Chi-Hua Wang , Yang Yu , Botao Hao , Guang Cheng

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Computers continue to diversify with respect to system designs, emerging memory technologies, and application memory demands. Unfortunately, continually adapting the conventional virtual memory framework to each possible system…

Developing simple, sample-efficient learning algorithms for robust classification is a pressing issue in today's tech-dominated world, and current theoretical techniques requiring exponential sample complexity and complicated improper…

Machine Learning · Computer Science 2023-02-07 Robi Bhattacharjee , Max Hopkins , Akash Kumar , Hantao Yu , Kamalika Chaudhuri

Reward-biased maximum likelihood estimation (RBMLE) is a classic principle in the adaptive control literature for tackling explore-exploit trade-offs. This paper studies the stochastic contextual bandit problem with general bounded reward…

Machine Learning · Computer Science 2022-05-31 Yu-Heng Hung , Ping-Chun Hsieh

We initiate the study of multi-stage episodic reinforcement learning under adversarial corruptions in both the rewards and the transition probabilities of the underlying system extending recent results for the special case of stochastic…

Machine Learning · Computer Science 2023-11-02 Thodoris Lykouris , Max Simchowitz , Aleksandrs Slivkins , Wen Sun

Reinforcement Learning with Verifiable Rewards(RLVR) has demonstrated great potential in enhancing the reasoning capabilities of large language models (LLMs). However, its success has thus far been largely confined to the mathematical and…

Artificial Intelligence · Computer Science 2026-02-05 Mengyu Zhang , Siyu Ding , Weichong Yin , Yu Sun , Hua Wu

We present efficient algorithms for the problem of contextual bandits with i.i.d. covariates, an arbitrary sequence of rewards, and an arbitrary class of policies. Our algorithm BISTRO requires d calls to the empirical risk minimization…

Machine Learning · Computer Science 2016-02-09 Alexander Rakhlin , Karthik Sridharan

Operating under real world conditions is challenging due to the possibility of a wide range of failures induced by execution errors and state uncertainty. In relatively benign settings, such failures can be overcome by retrying or executing…

Robotics · Computer Science 2023-03-10 Shivam Vats , Maxim Likhachev , Oliver Kroemer

Variational Bayes (VB) is a popular estimation method for Bayesian inference. However, most existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes their use in many important situations. Tran et…

Methodology · Statistics 2017-05-19 David Gunawan , Minh-Ngoc Tran , Robert Kohn

Non-Volatile Random Access Memory (NVRAM) is a novel type of hardware that combines the benefits of traditional persistent memory (persistency of data over hardware failures) and DRAM (fast random access). In this work, we describe an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-26 Vitaly Aksenov , Ohad Ben-Baruch , Danny Hendler , Ilya Kokorin , Matan Rusanovsky

Optimistic value estimates provide one mechanism for directed exploration in reinforcement learning (RL). The agent acts greedily with respect to an estimate of the value plus what can be seen as a value bonus. The value bonus can be…

Machine Learning · Computer Science 2026-02-16 Abdul Wahab , Raksha Kumaraswamy , Martha White

As machine learning models are increasingly being employed to make consequential decisions in real-world settings, it becomes critical to ensure that individuals who are adversely impacted (e.g., loan denied) by the predictions of these…

Machine Learning · Computer Science 2023-10-12 Martin Pawelczyk , Teresa Datta , Johannes van-den-Heuvel , Gjergji Kasneci , Himabindu Lakkaraju

Iterative code generation with Large Language Models (LLMs) can be viewed as an optimization process guided by textual feedback. However, existing LLM self-correction methods predominantly operate in a stateless, trial-and-error manner akin…

Machine Learning · Computer Science 2026-03-31 Zizheng Zhang , Yuyang Liao , Chen Chen , Jian He , Dun Wu , Qianjin Yu , Yanqin Gao , Jin Yang , Kailai Zhang , Eng Siong Chng , Xionghu Zhong

Offline reinforcement learning (RL) shows promise of applying RL to real-world problems by effectively utilizing previously collected data. Most existing offline RL algorithms use regularization or constraints to suppress extrapolation…

Machine Learning · Computer Science 2021-10-20 Xiaoteng Ma , Yiqin Yang , Hao Hu , Qihan Liu , Jun Yang , Chongjie Zhang , Qianchuan Zhao , Bin Liang

Existing key-value (KV) cache compression methods typically rely on heuristics, such as uniform cache allocation across layers or static eviction policies, however, they ignore the critical interplays among layer-specific feature patterns…

Machine Learning · Computer Science 2025-09-11 Bohan Yu , Yekun Chai

We introduce a unified framework that seamlessly integrates algorithmic recourse, contextual bandits, and large language models (LLMs) to support sequential decision-making in high-stakes settings such as personalized medicine. We first…

Artificial Intelligence · Computer Science 2026-01-21 Junyu Cao , Ruijiang Gao , Esmaeil Keyvanshokooh , Jianhao Ma

Scalable and effective exploration remains a key challenge in reinforcement learning (RL). While there are methods with optimality guarantees in the setting of discrete state and action spaces, these methods cannot be applied in…

Machine Learning · Computer Science 2017-01-30 Rein Houthooft , Xi Chen , Yan Duan , John Schulman , Filip De Turck , Pieter Abbeel