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We study algorithms for online linear optimization in Hilbert spaces, focusing on the case where the player is unconstrained. We develop a novel characterization of a large class of minimax algorithms, recovering, and even improving,…

机器学习 · 计算机科学 2014-05-22 H. Brendan McMahan , Francesco Orabona

We consider regret minimization in repeated games with non-convex loss functions. Minimizing the standard notion of regret is computationally intractable. Thus, we define a natural notion of regret which permits efficient optimization and…

机器学习 · 计算机科学 2017-11-06 Elad Hazan , Karan Singh , Cyril Zhang

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

Offline learning of strategies takes data efficiency to its extreme by restricting algorithms to a fixed dataset of state-action trajectories. We consider the problem in a mixed-motive multiagent setting, where the goal is to solve a game…

人工智能 · 计算机科学 2026-03-03 Austin A. Nguyen , Michael P. Wellman

Although parallelism has been extensively used in reinforcement learning (RL), the quantitative effects of parallel exploration are not well understood theoretically. We study the benefits of simple parallel exploration for reward-free RL…

机器学习 · 计算机科学 2023-03-03 Pedro Cisneros-Velarde , Boxiang Lyu , Sanmi Koyejo , Mladen Kolar

No-regret learners seek to minimize the difference between the loss they cumulated through the actions they played, and the loss they would have cumulated in hindsight had they consistently modified their behavior according to some strategy…

计算机科学与博弈论 · 计算机科学 2023-11-09 Gabriele Farina , Charilaos Pipis

We investigate the strategic surplus obtainable against a Follow-the-Regularized-Leader (FTRL) learner with constant step size $\eta$ in $n\times m$ two-player zero-sum games played over $T$ rounds against a clairvoyant optimizer. In…

计算机科学与博弈论 · 计算机科学 2026-05-25 Yiheng Su , Emmanouil-Vasileios Vlatakis-Gkaragkounis

We revisit the problem of solving two-player zero-sum games in the decentralized setting. We propose a simple algorithmic framework that simultaneously achieves the best rates for honest regret as well as adversarial regret, and in addition…

计算机科学与博弈论 · 计算机科学 2018-06-07 Ehsan Asadi Kangarshahi , Ya-Ping Hsieh , Mehmet Fatih Sahin , Volkan Cevher

We consider the problem of minimizing different notions of swap regret in online optimization. These forms of regret are tightly connected to correlated equilibrium concepts in games, and have been more recently shown to guarantee…

机器学习 · 计算机科学 2026-05-22 Ioannis Anagnostides , Gabriele Farina , Maxwell Fishelson , Haipeng Luo , Jon Schneider

Efficient scheduling of parallel computation resources across multiple jobs is a fundamental problem in modern cloud/edge computing systems for many AI-based applications. Allocating more resources to a job accelerates its completion, but…

分布式、并行与集群计算 · 计算机科学 2025-09-03 Chengzhang Li , Peizhong Ju , Atilla Eryilmaz , Ness Shroff

Tree-form sequential decision making (TFSDM) extends classical one-shot decision making by modeling tree-form interactions between an agent and a potentially adversarial environment. It captures the online decision-making problems that each…

计算机科学与博弈论 · 计算机科学 2021-03-09 Gabriele Farina , Robin Schmucker , Tuomas Sandholm

A conceptually appealing approach for learning Extensive-Form Games (EFGs) is to convert them to Normal-Form Games (NFGs). This approach enables us to directly translate state-of-the-art techniques and analyses in NFGs to learning EFGs, but…

机器学习 · 计算机科学 2022-10-28 Yu Bai , Chi Jin , Song Mei , Ziang Song , Tiancheng Yu

Learning to play zero-sum games is a fundamental problem in game theory and machine learning. While significant progress has been made in minimizing external regret in the self-play settings or with full-information feedback, real-world…

机器学习 · 计算机科学 2026-02-09 Shinji Ito , Haipeng Luo , Arnab Maiti , Taira Tsuchiya , Yue Wu

This paper introduces a new paradigm for minimax game-tree search algo- rithms. MT is a memory-enhanced version of Pearls Test procedure. By changing the way MT is called, a number of best-first game-tree search algorithms can be simply and…

人工智能 · 计算机科学 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

Matrix factorization (MF) is employed by many popular algorithms, e.g., collaborative filtering. The emerging GPU technology, with massively multicore and high intra-chip memory bandwidth but limited memory capacity, presents an opportunity…

分布式、并行与集群计算 · 计算机科学 2016-10-25 Wei Tan , Liangliang Cao , Liana Fong

Online learning in arbitrary, and possibly adversarial, environments has been extensively studied in sequential decision-making, and it is closely connected to equilibrium computation in game theory. Most existing online learning algorithms…

机器学习 · 计算机科学 2026-03-20 Mingyang Liu , Yongshan Chen , Zhiyuan Fan , Gabriele Farina , Asuman Ozdaglar , Kaiqing Zhang

For some well-known games, such as the Traveler's Dilemma or the Centipede Game, traditional game-theoretic solution concepts--and most notably Nash equilibrium--predict outcomes that are not consistent with empirical observations. In this…

计算机科学与博弈论 · 计算机科学 2008-10-20 Joseph Y. Halpern , Rafael Pass

The notion of \emph{policy regret} in online learning is a well defined? performance measure for the common scenario of adaptive adversaries, which more traditional quantities such as external regret do not take into account. We revisit the…

机器学习 · 计算机科学 2020-03-24 Raman Arora , Michael Dinitz , Teodor V. Marinov , Mehryar Mohri

We extend the classic regret minimization framework for approximating equilibria in normal-form games by greedily weighing iterates based on regrets observed at runtime. Theoretically, our method retains all previous convergence rate…

计算机科学与博弈论 · 计算机科学 2022-04-12 Hugh Zhang , Adam Lerer , Noam Brown

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

计算工程、金融与科学 · 计算机科学 2019-01-23 Richard Barnes