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We study fast rates of convergence in the setting of nonparametric online regression, namely where regret is defined with respect to an arbitrary function class which has bounded complexity. Our contributions are two-fold: - In the…

Machine Learning · Computer Science 2022-04-13 Constantinos Daskalakis , Noah Golowich

This paper studies the optimization of strategies in the context of possibly randomized two players zero-sum games with incomplete information. We compare 5 algorithms for tuning the parameters of strategies over a benchmark of 12 games. A…

Computer Science and Game Theory · Computer Science 2018-07-06 Marie-Liesse Cauwet , Olivier Teytaud

Defining and measuring decision-making styles, also known as playstyles, is crucial in gaming, where these styles reflect a broad spectrum of individuality and diversity. However, finding a universally applicable measure for these styles…

Artificial Intelligence · Computer Science 2024-09-02 Chiu-Chou Lin , Wei-Chen Chiu , I-Chen Wu

We primarily consider bilevel programs where the lower level is a convex quadratic minimization problem under integer constraints. We show that it is $\Sigma_2^p$-hard to decide if the optimal objective for the leader is lesser than a given…

Optimization and Control · Mathematics 2024-12-23 Sriram Sankaranarayanan , V. Shubha Vatsalya

We consider a stochastic bandit problem with infinitely many arms. In this setting, the learner has no chance of trying all the arms even once and has to dedicate its limited number of samples only to a certain number of arms. All previous…

Machine Learning · Computer Science 2015-05-19 Alexandra Carpentier , Michal Valko

In a nonlocal game, two noncommunicating players cooperate to convince a referee that they possess a strategy that does not violate the rules of the game. Quantum strategies allow players to optimally win some games by performing joint…

Quantum Physics · Physics 2025-07-01 Jim Furches , Sarah Chehade , Kathleen Hamilton , Nathan Wiebe , Carlos Ortiz Marrero

In modern resource-sharing systems, multiple agents access limited resources with unknown stochastic conditions to perform tasks. When multiple agents access the same resource (arm) simultaneously, they compete for successful usage, leading…

Computer Science and Game Theory · Computer Science 2025-03-28 Hongbo Li , Lingjie Duan

This paper introduces alignment games, a new class of zero-sum games modeling strategic interventions where effectiveness depends on alignment with an underlying hidden state. Motivated by operational problems in medical diagnostics,…

Optimization and Control · Mathematics 2025-09-08 Pedro Cesar Lopes Gerum , Thomas Lidbetter

Imagine a patient in critical condition. What and when should be measured to forecast detrimental events, especially under the budget constraints? We answer this question by deep reinforcement learning (RL) that jointly minimizes the…

Machine Learning · Computer Science 2019-06-11 Chun-Hao Chang , Mingjie Mai , Anna Goldenberg

We introduce a bandit framework for stochastic matching under the multinomial logit (MNL) choice model. In our setting, $N$ agents on one side are assigned to $K$ arms on the other side, where each arm stochastically selects an agent from…

Machine Learning · Statistics 2026-01-30 Jung-hun Kim , Min-hwan Oh

Non-stationary multi-armed bandits enable agents to adapt to changing environments by incorporating mechanisms to detect and respond to shifts in reward distributions, making them well-suited for dynamic settings. However, existing…

Machine Learning · Computer Science 2025-09-19 Shaoang Li , Jian Li

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

Machine Learning · Computer Science 2021-05-11 Aadirupa Saha , Aditya Gopalan

We consider the cooperative multi-player version of the stochastic multi-armed bandit problem. We study the regime where the players cannot communicate but have access to shared randomness. In prior work by the first two authors, a strategy…

Machine Learning · Computer Science 2020-11-10 Sébastien Bubeck , Thomas Budzinski , Mark Sellke

In this letter, we study dynamic game optimal control with imperfect state observations and introduce an iterative method to find a local Nash equilibrium. The algorithm consists of an iterative procedure combining a backward recursion…

Optimization and Control · Mathematics 2022-06-24 Armand Jordana , Bilal Hammoud , Justin Carpentier , Ludovic Righetti

Deducing whodunit proves challenging for LLM agents. In this paper, we implement a text-based multi-agent version of the classic board game Clue as a rule-based testbed for evaluating multi-step deductive reasoning, with six agents drawn…

Artificial Intelligence · Computer Science 2026-03-19 Rebecca Ansell , Autumn Toney-Wails

We propose a quantum algorithm based on ridge regression model, which get the optimal fitting parameters w and a regularization hyperparameter {\alpha} by analysing the training dataset. The algorithm consists of two subalgorithms. One is…

Quantum Physics · Physics 2021-04-28 Menghan Chen , Chaohua Yu , Gongde Guo , Song Lin

Reinforcement learning algorithms for mean-field games offer a scalable framework for optimizing policies in large populations of interacting agents. Existing methods often depend on online interactions or access to system dynamics,…

Machine Learning · Computer Science 2024-10-24 Axel Brunnbauer , Julian Lemmel , Zahra Babaiee , Sophie Neubauer , Radu Grosu

The vulnerability of deep neural network models to adversarial example attacks is a practical challenge in many artificial intelligence applications. A recent line of work shows that the use of randomization in adversarial training is the…

Machine Learning · Computer Science 2023-06-30 Jiahao Xie , Chao Zhang , Weijie Liu , Wensong Bai , Hui Qian

Imitation learning has enabled robots to perform complex, long-horizon tasks in challenging dexterous manipulation settings. As new methods are developed, they must be rigorously evaluated and compared against corresponding baselines…

We introduce a new model of stochastic bandits with adversarial corruptions which aims to capture settings where most of the input follows a stochastic pattern but some fraction of it can be adversarially changed to trick the algorithm,…

Machine Learning · Computer Science 2018-03-28 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme
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