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The topic of learning to solve optimization problems has received interest from both the operations research and machine learning communities. In this work, we combine techniques from both fields to address the problem of learning to…

机器学习 · 计算机科学 2022-04-25 Aaron Babier , Timothy C. Y. Chan , Adam Diamant , Rafid Mahmood

An abundance of recent impossibility results establish that regret minimization in Markov games with adversarial opponents is both statistically and computationally intractable. Nevertheless, none of these results preclude the possibility…

机器学习 · 计算机科学 2025-06-17 Liad Erez , Tal Lancewicki , Uri Sherman , Tomer Koren , Yishay Mansour

We study the problem of computing the value function from a discretely-observed trajectory of a continuous-time diffusion process. We develop a new class of algorithms based on easily implementable numerical schemes that are compatible with…

机器学习 · 计算机科学 2024-07-09 Wenlong Mou , Yuhua Zhu

When a game involves many agents or when communication between agents is not possible, it is useful to resort to distributed learning where each agent acts in complete autonomy without any information on the other agents' situations.…

最优化与控制 · 数学 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

Resource allocation is the process of optimizing the rare resources. In the area of security, how to allocate limited resources to protect a massive number of targets is especially challenging. This paper addresses this resource allocation…

计算机科学与博弈论 · 计算机科学 2019-02-26 Xu Liu , Xiaoqiang Di , Jinqing Li , Huan Wang , Jianping Zhao , Huamin Yang , Ligang Cong

Theory of Mind benchmarks for large language models typically produce aggregate scores without theoretical grounding, making it unclear whether high performance reflects strategic reasoning or surface-level heuristics. We introduce a…

计算机科学与博弈论 · 计算机科学 2026-03-12 Mateo Pechon-Elkins , Jon Chun

This paper proposes a method to automatically construct or estimate Neyman-orthogonal moments in general models defined by a finite number of conditional moment restrictions (CMRs), with possibly different conditioning variables and…

计量经济学 · 经济学 2025-12-10 Facundo Argañaraz

No-regret learning has emerged as a powerful tool for solving extensive-form games. This was facilitated by the counterfactual-regret minimization (CFR) framework, which relies on the instantiation of regret minimizers for simplexes at each…

计算机科学与博弈论 · 计算机科学 2017-11-10 Gabriele Farina , Christian Kroer , Tuomas Sandholm

This paper has two central aims: first, to provide simple conditions under which the generalized games in choice form and, consequently, the abstract economies, admit equilibrium; second, to study the solvability of several types of systems…

最优化与控制 · 数学 2016-05-17 Monica Patriche

The aim of this paper is to study the optimal investment problem by using coherent acceptability indices (CAIs) as a tool to measure the portfolio performance. We call this problem the acceptability maximization. First, we study the…

数理金融 · 定量金融 2020-12-23 Gabriela Kováčová , Birgit Rudloff , Igor Cialenco

Finding optimal policies which maximize long term rewards of Markov Decision Processes requires the use of dynamic programming and backward induction to solve the Bellman optimality equation. However, many real-world problems require…

机器学习 · 计算机科学 2023-01-10 Mridul Agarwal , Vaneet Aggarwal

This paper focuses on managing the cost of deliberation before action. In many problems, the overall quality of the solution reflects costs incurred and resources consumed in deliberation as well as the cost and benefit of execution, when…

人工智能 · 计算机科学 2013-04-05 David Einav , Michael R. Fehling

We study N-player finite games with costs perturbed due to time-varying disturbances in the underlying system and to that end, we propose the concept of Robust Correlated Equilibrium that generalizes the definition of Correlated…

系统与控制 · 电气工程与系统科学 2025-07-02 Rahul Misra , Rafał Wisniewski , Carsten Skovmose Kallesøe , Manuela L. Bujorianu

Video Moment Retrieval (VMR) aims to localize temporal segments in videos that correspond to a natural language query, but typically assumes only a single matching moment for each query. This assumption does not always hold in real-world…

计算机视觉与模式识别 · 计算机科学 2026-05-05 Yiming Ding , Siyu Cao , Luyuan Jiao , Yixuan Li , Zitong Wang , Zhiyong Liu , Lu Zhang

The goal of the paper is to introduce a set of problems which we call mean field games of timing. We motivate the formulation by a dynamic model of bank run in a continuous-time setting. We briefly review the economic and game theoretic…

概率论 · 数学 2017-01-24 Rene Carmona , Francois Delarue , Daniel Lacker

This paper investigates the discrete-time asynchronous games in which noncooperative agents seek to minimize their individual cost functions. Building on the assumption of partial asynchronism, i.e., each agent updates at least once within…

最优化与控制 · 数学 2025-08-13 Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson

We propose policy gradient algorithms for solving a risk-sensitive reinforcement learning (RL) problem in on-policy as well as off-policy settings. We consider episodic Markov decision processes, and model the risk using the broad class of…

机器学习 · 计算机科学 2024-06-25 Nithia Vijayan , Prashanth L. A

These lecture notes attempt a mathematical treatment of game theory akin to mathematical physics. A game instance is defined as a sequence of states of an underlying system. This viewpoint unifies classical mathematical models for 2-person…

理论经济学 · 经济学 2023-04-27 Ulrich Faigle

The optimal allocation of resources for maximizing influence, spread of information or coverage, has gained attention in the past years, in particular in machine learning and data mining. But in applications, the parameters of the problem…

机器学习 · 计算机科学 2017-06-14 Matthew Staib , Stefanie Jegelka

Solving feedback Stackelberg games with nonlinear dynamics and coupled constraints, a common scenario in practice, presents significant challenges. This work introduces an efficient method for computing approximate local feedback…

最优化与控制 · 数学 2025-04-03 Jingqi Li , Somayeh Sojoudi , Claire Tomlin , David Fridovich-Keil