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We consider the problem of designing minimax estimators for estimating the parameters of a probability distribution. Unlike classical approaches such as the MLE and minimum distance estimators, we consider an algorithmic approach for…

Machine Learning · Statistics 2020-06-23 Kartik Gupta , Arun Sai Suggala , Adarsh Prasad , Praneeth Netrapalli , Pradeep Ravikumar

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

Computer Science and Game Theory · Computer Science 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

Extracting actionable intelligence from distributed, heterogeneous, correlated and high-dimensional data sources requires run-time processing and learning both locally and globally. In the last decade, a large number of meta-learning…

Machine Learning · Computer Science 2016-11-01 Cem Tekin , Jinsung Yoon , Mihaela van der Schaar

Adversarial Training is proved to be an efficient method to defend against adversarial examples, being one of the few defenses that withstand strong attacks. However, traditional defense mechanisms assume a uniform attack over the examples…

Machine Learning · Computer Science 2020-10-27 Huimin Zeng , Chen Zhu , Tom Goldstein , Furong Huang

Compared with the widely investigated homogeneous multi-robot collaboration, heterogeneous robots with different capabilities can provide a more efficient and flexible collaboration for more complex tasks. In this paper, we consider a more…

Robotics · Computer Science 2024-06-19 Xinzhu Liu , Peiyan Li , Wenju Yang , Di Guo , Huaping Liu

Here we propose a general theoretical method for analyzing the risk bound in the presence of adversaries. Specifically, we try to fit the adversarial learning problem into the minimax framework. We first show that the original adversarial…

Machine Learning · Statistics 2019-01-25 Zhuozhuo Tu , Jingwei Zhang , Dacheng Tao

We consider the minimax setup for Gaussian one-armed bandit problem, i.e. the two-armed bandit problem with Gaussian distributions of incomes and known distribution corresponding to the first arm. This setup naturally arises when the…

Statistics Theory · Mathematics 2019-01-28 Alexander Kolnogorov

Reinforcement learning (RL) has achieved remarkable performance in numerous sequential decision making and control tasks. However, a common problem is that learned nearly optimal policy always overfits to the training environment and may…

Machine Learning · Computer Science 2020-10-01 Yangang Ren , Jingliang Duan , Shengbo Eben Li , Yang Guan , Qi Sun

We provide a decision theoretic analysis of bandit experiments under local asymptotics. Working within the framework of diffusion processes, we define suitable notions of asymptotic Bayes and minimax risk for these experiments. For normally…

Econometrics · Economics 2025-05-06 Karun Adusumilli

We introduce a simple but general online learning framework in which a learner plays against an adversary in a vector-valued game that changes every round. Even though the learner's objective is not convex-concave (and so the minimax…

Machine Learning · Computer Science 2022-10-14 Daniel Lee , Georgy Noarov , Mallesh Pai , Aaron Roth

Whether in groups of humans or groups of computer agents, collaboration is most effective between individuals who have the ability to coordinate on a joint strategy for collective action. However, in general a rational actor will only…

Artificial Intelligence · Computer Science 2016-02-15 Peter M. Krafft , Chris L. Baker , Alex Pentland , Joshua B. Tenenbaum

We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-criteria problems of rating alternatives from pairwise…

Optimization and Control · Mathematics 2022-07-11 Nikolai Krivulin , Sergei Sergeev

We extend the Approximate-Proximal Point (aProx) family of model-based methods for solving stochastic convex optimization problems, including stochastic subgradient, proximal point, and bundle methods, to the minibatch and accelerated…

Optimization and Control · Mathematics 2021-01-08 Karan Chadha , Gary Cheng , John C. Duchi

This paper presents a dual method of closed-form analysis and lightweight simulation that enables an evaluation of the performance of mobile ad hoc networks that is more realistic, efficient, and accurate than those found in existing…

Information Theory · Computer Science 2016-11-17 Don Torrieri , Salvatore Talarico , Matthew C. Valenti

We propose minimum empirical divergence (MED) policy for the multiarmed bandit problem. We prove asymptotic optimality of the proposed policy for the case of finite support models. In our setting, Burnetas and Katehakis has already proposed…

Statistics Theory · Mathematics 2011-11-21 Junya Honda , Akimichi Takemura

Recently, accelerated algorithms using the anchoring mechanism for minimax optimization and fixed-point problems have been proposed, and matching complexity lower bounds establish their optimality. In this work, we present the surprising…

Optimization and Control · Mathematics 2024-04-25 TaeHo Yoon , Jaeyeon Kim , Jaewook J. Suh , Ernest K. Ryu

A key challenge in multi-robot and multi-agent systems is generating solutions that are robust to other self-interested or even adversarial parties who actively try to prevent the agents from achieving their goals. The practicality of…

Artificial Intelligence · Computer Science 2017-10-19 Trong Nghia Hoang , Yuchen Xiao , Kavinayan Sivakumar , Christopher Amato , Jonathan How

Researchers have demonstrated that neural networks are vulnerable to adversarial examples and subtle environment changes, both of which one can view as a form of distribution shift. To humans, the resulting errors can look like blunders,…

Adversarial patch is one of the important forms of performing adversarial attacks in the physical world. To improve the naturalness and aggressiveness of existing adversarial patches, location-aware patches are proposed, where the patch's…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Xingxing Wei , Shouwei Ruan , Yinpeng Dong , Hang Su

Existing approaches to coalition formation often assume that requirements associated with tasks are precisely specified by the human operator. However, prior work has demonstrated that humans, while extremely adept at solving complex…

Multiagent Systems · Computer Science 2022-01-26 Anusha Srikanthan , Harish Ravichandar