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We initiate an investigation of learning tasks in a setting where the learner is given access to two competing provers, only one of which is honest. Specifically, we consider the power of such learners in assessing purported properties of…

Machine Learning · Statistics 2026-03-13 Ran Canetti , Ephraim Linder , Connor Wagaman

In this paper we provide three new results axiomatizing the core of games in characteristic function form (not necessarily having transferable utility) obeying an innocuous condition (that the set of individually rational pay-off vectors is…

Theoretical Economics · Economics 2024-10-01 Anindya Bhattacharya

When the inverse of an algorithm is well-defined -- that is, when its output can be deterministically transformed into the input producing it -- we say that the algorithm is invertible. While one can describe an invertible algorithm using a…

Programming Languages · Computer Science 2022-12-07 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

In applied game theory the motivation of players is a key element. It is encoded in the payoffs of the game form and often based on utility functions. But there are cases were formal descriptions in the form of a utility function do not…

Computer Science and Game Theory · Computer Science 2015-06-04 Jules Hedges , Paulo Oliva , Evguenia Sprits , Viktor Winschel , Philipp Zahn

We present a general framework for solving a large class of learning problems with non-linear functions of classification rates. This includes problems where one wishes to optimize a non-decomposable performance metric such as the F-measure…

Machine Learning · Computer Science 2019-09-09 Harikrishna Narasimhan , Andrew Cotter , Maya Gupta

In this overview article we will consider the deliberate restarting of algorithms, a meta technique, in order to improve the algorithm's performance, e.g., convergence rates or approximation guarantees. One of the major advantages is that…

Optimization and Control · Mathematics 2020-06-29 Sebastian Pokutta

We study the termination problem for nondeterministic recursive probabilistic programs. First, we show that a ranking-supermartingales-based approach is both sound and complete for bounded terminiation (i.e., bounded expected termination…

Programming Languages · Computer Science 2017-01-12 Krishnendu Chatterjee , Hongfei Fu

What makes a good Large Language Model (LLM)? That it performs well on the relevant benchmarks -- which hopefully measure, with some validity, the presence of capabilities that are also challenged in real application. But what makes the…

Computation and Language · Computer Science 2024-06-21 Nidhir Bhavsar , Jonathan Jordan , Sherzod Hakimov , David Schlangen

In recent years, Evolutionary Algorithms (EAs) have frequently been adopted to evolve instances for optimization problems that pose difficulties for one algorithm while being rather easy for a competitor and vice versa. Typically, this is…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Jakob Bossek , Markus Wagner

Predictive models are being increasingly used to support consequential decision making at the individual level in contexts such as pretrial bail and loan approval. As a result, there is increasing social and legal pressure to provide…

Machine Learning · Computer Science 2020-03-02 Amir-Hossein Karimi , Gilles Barthe , Borja Balle , Isabel Valera

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.…

Optimization and Control · Mathematics 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

We study the greedy (exploitation-only) algorithm in bandit problems with a known reward structure. We allow arbitrary finite reward structures, while prior work focused on a few specific ones. We fully characterize when the greedy…

Machine Learning · Computer Science 2025-11-10 Aleksandrs Slivkins , Yunzong Xu , Shiliang Zuo

The gold standard in human-AI collaboration is complementarity -- when combined performance exceeds both the human and algorithm alone. We investigate this challenge in binary classification settings where the goal is to maximize 0-1…

Artificial Intelligence · Computer Science 2024-11-26 Kenny Peng , Nikhil Garg , Jon Kleinberg

A frequently studied performance measure in online optimization is competitive analysis. It corresponds to the worst-case ratio, over all possible inputs of an algorithm, between the performance of the algorithm and the optimal offline…

Optimization and Control · Mathematics 2024-05-30 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

We study stochastic optimization problems with objective function given by the expectation of the maximum of two linear functions defined on the component random variables of a multivariate Gaussian distribution. We consider random…

Optimization and Control · Mathematics 2021-12-15 David Bergman , Carlos Cardonha , Jason Imbrogno , Leonardo Lozano

We study how standard auction objectives in sponsored search markets change with refinements in the prediction of the relevance (click-through rates) of ads. We study mechanisms that optimize for a convex combination of efficiency and…

Computer Science and Game Theory · Computer Science 2013-02-28 Mukund Sundararajan , Inbal Talgam-Cohen

In this work, a new multiobjective optimization algorithm called multiobjective learner performance-based behavior algorithm is proposed. The proposed algorithm is based on the process of transferring students from high school to college.…

Neural and Evolutionary Computing · Computer Science 2022-01-31 Chnoor M. Rahman , Tarik A. Rashid , Aram Mahmood Ahmed , Seyedali Mirjalili

A substantial amount of research has been carried out in developing machine learning algorithms that account for term dependence in text classification. These algorithms offer acceptable performance in most cases but they are associated…

Information Retrieval · Computer Science 2017-10-26 Sounak Banerjee , Prasenjit Majumder , Mandar Mitra

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

Computer Science and Game Theory · Computer Science 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

In this work, we consider the problem of autonomously discovering behavioral abstractions, or options, for reinforcement learning agents. We propose an algorithm that focuses on the termination condition, as opposed to -- as is common --…

Artificial Intelligence · Computer Science 2019-02-27 Anna Harutyunyan , Will Dabney , Diana Borsa , Nicolas Heess , Remi Munos , Doina Precup
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