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As Large Language Models (LLMs) scale in size and complexity, the consequences of failures during training become increasingly severe. A major challenge arises from Silent Data Corruption (SDC): hardware-induced faults that bypass…

机器学习 · 计算机科学 2026-04-02 Anton Altenbernd , Philipp Wiesner , Odej Kao

We study an online linear regression setting in which the observed feature vectors are corrupted by noise and the learner can pay to reduce the noise level. In practice, this may happen for several reasons: for example, because features can…

机器学习 · 计算机科学 2025-11-12 Nadav Merlis , Kyoungseok Jang , Nicolò Cesa-Bianchi

Robot decision-making increasingly relies on data-driven human prediction models when operating around people. While these models are known to mispredict in out-of-distribution interactions, only a subset of prediction errors impact…

机器人学 · 计算机科学 2024-11-12 Kensuke Nakamura , Ran Tian , Andrea Bajcsy

We address online combinatorial optimization when the player has a prior over the adversary's sequence of losses. In this framework, Russo and Van Roy proposed an information-theoretic analysis of Thompson Sampling based on the information…

机器学习 · 计算机科学 2022-04-05 Sébastien Bubeck , Mark Sellke

We study the problem of learning the optimal policy in a discounted, infinite-horizon reinforcement learning (RL) setting in the presence of adversarially corrupted rewards. To address this problem, we develop a novel robust variant of the…

机器学习 · 计算机科学 2026-05-22 Sreejeet Maity , Aritra Mitra

We present the first regret bound for classical online Q-learning in infinite-horizon discounted Markov decision processes (MDPs), without relying on optimism or bonus terms. We first analyze Boltzmann Q-learning with decaying temperature…

机器学习 · 计算机科学 2026-05-18 Rahul Singh , Siddharth Chandak , Eric Moulines , Vivek S. Borkar , Nicholas Bambos

We introduce a novel \textit{k}-nearest neighbor (\textit{k}-NN) regression method for joint estimation of the conditional mean and variance. The proposed algorithm preserves the computational efficiency and manifold-learning capabilities…

统计方法学 · 统计学 2025-10-28 Marcos Matabuena , Juan C. Vidal , Oscar Hernan Madrid Padilla , Jukka-Pekka Onnela

When data is of an extraordinarily large size or physically stored in different locations, the distributed nearest neighbor (NN) classifier is an attractive tool for classification. We propose a novel distributed adaptive NN classifier for…

机器学习 · 统计学 2023-06-06 Ruiqi Liu , Ganggang Xu , Zuofeng Shang

Intrinsic noise in objective function and derivatives evaluations may cause premature termination of optimization algorithms. Evaluation complexity bounds taking this situation into account are presented in the framework of a deterministic…

最优化与控制 · 数学 2021-04-07 Stefania Bellavia , Gianmarco Gurioli , Benedetta Morini , Philippe L. Toint

This study considers the partial monitoring problem with $k$-actions and $d$-outcomes and provides the first best-of-both-worlds algorithms, whose regrets are favorably bounded both in the stochastic and adversarial regimes. In particular,…

机器学习 · 计算机科学 2022-10-11 Taira Tsuchiya , Shinji Ito , Junya Honda

We address the problem of sequential prediction with expert advice in a non-stationary environment with long-term memory guarantees in the sense of Bousquet and Warmuth [4]. We give a linear-time algorithm that improves on the best known…

机器学习 · 计算机科学 2021-06-25 James Robinson , Mark Herbster

We introduce a transformation framework that can be utilized to develop online algorithms with low $\epsilon$-approximate regret in the random-order model from offline approximation algorithms. We first give a general reduction theorem that…

机器学习 · 计算机科学 2023-10-27 Jing Dong , Yuichi Yoshida

Derivative Free Optimization is known to be an efficient and robust method to tackle the black-box optimization problem. When it comes to noisy functions, classical comparison-based algorithms are slower than gradient-based algorithms. For…

最优化与控制 · 数学 2016-04-29 Marie-Liesse Cauwet , Olivier Teytaud

The empirically successful Thompson Sampling algorithm for stochastic bandits has drawn much interest in understanding its theoretical properties. One important benefit of the algorithm is that it allows domain knowledge to be conveniently…

机器学习 · 计算机科学 2016-07-22 Che-Yu Liu , Lihong Li

We consider the problem of asynchronous online combinatorial optimization on a network of communicating agents. At each time step, some of the agents are stochastically activated, requested to make a prediction, and the system pays the…

机器学习 · 计算机科学 2021-02-10 Riccardo Della Vecchia , Tommaso Cesari

The hope of the quantum computing field is that quantum architectures are able to scale up and realize fault-tolerant quantum computing. Due to engineering challenges, such ''cheap'' error correction may be decades away. In the meantime, we…

量子物理 · 物理学 2025-02-17 Rutuja Kshirsagar , Amara Katabarwa , Peter D. Johnson

Sequential change-point detection when the distribution parameters are unknown is a fundamental problem in statistics and machine learning. When the post-change parameters are unknown, we consider a set of detection procedures based on…

统计理论 · 数学 2017-12-06 Yang Cao , Liyan Xie , Yao Xie , Huan Xu

Many works have developed no-regret algorithms for contextual bandits with function approximation, where the mean reward function over context-action pairs belongs to a function class. Although there are many approaches to this problem, one…

机器学习 · 计算机科学 2025-03-18 Aldo Pacchiano

In this paper, we propose a general framework for the asymptotic analysis of node-based verification-based algorithms. In our analysis we tend the signal length $n$ to infinity. We also let the number of non-zero elements of the signal $k$…

信息论 · 计算机科学 2010-01-14 Yaser Eftekhari , Amir H. Banihashemi , Ioannis Lambadaris

A key challenge in online learning is that classical algorithms can be slow to adapt to changing environments. Recent studies have proposed "meta" algorithms that convert any online learning algorithm to one that is adaptive to changing…

机器学习 · 统计学 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett