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Tools from control and dynamical systems have proven valuable for analyzing and developing optimization methods. In this paper, we establish rigorous theoretical foundations for using feedback linearization (FL) -- a well-established…

最优化与控制 · 数学 2026-01-29 Runyu Zhang , Arvind Raghunathan , Jeff Shamma , Na Li

We introduce a new solution concept for bounded rational agents in finite normal-form general-sum games called Generalized Quantal Response Equilibrium (GQRE) which generalizes Quantal Response Equilibrium~\citep{mckelvey1995quantal}. In…

计算机科学与博弈论 · 计算机科学 2025-07-15 Apurv Shukla , Vijay Subramanian , Andy Zhao , Rahul Jain

We study a setting in which two players play a (possibly approximate) Nash equilibrium of a bimatrix game, while a learner observes only their actions and has no knowledge of the equilibrium or the underlying game. A natural question is…

计算机科学与博弈论 · 计算机科学 2026-05-27 Annalisa Barbara , Riccardo Poiani , Martino Bernasconi , Andrea Celli

Although existing Quantization-Aware Training (QAT) methods intensively depend on knowledge distillation to guarantee performance, QAT still suffers from severe performance drop. The experiments have shown that vanilla quantization is…

计算机视觉与模式识别 · 计算机科学 2025-01-14 Junbiao Pang , Tianyang Cai , Baochang Zhang , Jiaqi Wu

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Many neural network quantization techniques have been developed to decrease the computational and memory footprint of deep learning. However, these methods are evaluated subject to confounding tradeoffs that may affect inference…

机器学习 · 计算机科学 2021-02-15 Sahaj Garg , Anirudh Jain , Joe Lou , Mitchell Nahmias

Communication of model updates between client nodes and the central aggregating server is a major bottleneck in federated learning, especially in bandwidth-limited settings and high-dimensional models. Gradient quantization is an effective…

机器学习 · 计算机科学 2021-02-10 Divyansh Jhunjhunwala , Advait Gadhikar , Gauri Joshi , Yonina C. Eldar

There is an increasing need to enforce multiple, often competing, measures of fairness within automated decision systems. The appropriate weighting of these fairness objectives is typically unknown a priori, may change over time and, in our…

机器学习 · 计算机科学 2026-05-25 Quan Zhou , Jakub Marecek , Robert Shorten

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

机器学习 · 计算机科学 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

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

The quantization of large language models (LLMs) has been a prominent research area aimed at enabling their lightweight deployment in practice. Existing research about LLM's quantization has mainly explored the interplay between weights and…

计算与语言 · 计算机科学 2025-05-16 Yifei Gao , Jie Ou , Lei Wang , Jun Cheng , Mengchu Zhou

Despite the considerable success enjoyed by machine learning techniques in practice, numerous studies demonstrated that many approaches are vulnerable to attacks. An important class of such attacks involves adversaries changing features at…

机器学习 · 计算机科学 2018-06-07 Liang Tong , Sixie Yu , Scott Alfeld , Yevgeniy Vorobeychik

This paper studies the optimistic variant of Fictitious Play for learning in two-player zero-sum games. While it is known that Optimistic FTRL -- a regularized algorithm with a bounded stepsize parameter -- obtains constant regret in this…

机器学习 · 计算机科学 2026-01-15 John Lazarsfeld , Georgios Piliouras , Ryann Sim , Stratis Skoulakis

Multi-agent settings in the real world often involve tasks with varying types and quantities of agents and non-agent entities; however, common patterns of behavior often emerge among these agents/entities. Our method aims to leverage these…

机器学习 · 计算机科学 2021-06-15 Shariq Iqbal , Christian A. Schroeder de Witt , Bei Peng , Wendelin Böhmer , Shimon Whiteson , Fei Sha

Recent studies have shown that reinforcement learning (RL) models are vulnerable in various noisy scenarios. For instance, the observed reward channel is often subject to noise in practice (e.g., when rewards are collected through sensors),…

机器学习 · 计算机科学 2020-02-04 Jingkang Wang , Yang Liu , Bo Li

As quantum processors advance, the emergence of large-scale decentralized systems involving interacting quantum-enabled agents is on the horizon. Recent research efforts have explored quantum versions of Nash and correlated equilibria as…

计算机科学与博弈论 · 计算机科学 2024-12-18 Wayne Lin , Georgios Piliouras , Ryann Sim , Antonios Varvitsiotis

Blackwell's approachability is a framework where two players, the Decision Maker and the Environment, play a repeated game with vector-valued payoffs. The goal of the Decision Maker is to make the average payoff converge to a given set…

机器学习 · 计算机科学 2021-09-08 Joon Kwon

We investigate the convergence of symmetric stochastic differential games with interactions via control, where the volatility terms of both idiosyncratic and common noises are controlled. We apply the stochastic maximum principle, following…

概率论 · 数学 2026-02-19 Erhan Bayraktar , Hiroaki Horikawa

Nash Learning from Human Feedback is a game-theoretic framework for aligning large language models (LLMs) with human preferences by modeling learning as a two-player zero-sum game. However, using raw preference as the payoff in the game…

计算机科学与博弈论 · 计算机科学 2025-05-28 Zhekun Shi , Kaizhao Liu , Qi Long , Weijie J. Su , Jiancong Xiao

Post-training quantization reduces the computational demand of Large Language Models (LLMs) but can weaken some of their capabilities. Since LLM abilities emerge with scale, smaller LLMs are more sensitive to quantization. In this paper, we…

计算与语言 · 计算机科学 2024-08-02 Mert Yazan , Suzan Verberne , Frederik Situmeang