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Equilibrium computation in markets usually considers settings where player valuation functions are known. We consider the setting where player valuations are unknown; using a PAC learning-theoretic framework, we analyze some classes of…

Computer Science and Game Theory · Computer Science 2021-09-10 Vignesh Viswanathan , Omer Lev , Neel Patel , Yair Zick

This paper explores a PAC (probably approximately correct) learning model in cooperative games. Specifically, we are given $m$ random samples of coalitions and their values, taken from some unknown cooperative game; can we predict the…

Computer Science and Game Theory · Computer Science 2016-10-11 Maria-Florina Balcan , Ariel D. Procaccia , Yair Zick

This paper presents an extension of the classical agnostic PAC learning model in which learning problems are modelled not only by a Hypothesis Space $\mathcal{H}$, but also by a Learning Space $\mathbb{L}(\mathcal{H})$, which is a cover of…

Machine Learning · Statistics 2021-09-13 Diego Marcondes , Adilson Simonis , Junior Barrera

While game theory is widely used to model strategic interactions, a natural question is where do the game representations come from? One answer is to learn the representations from data. If one wants to learn both the payoffs and the…

Computer Science and Game Theory · Computer Science 2012-03-19 Xi Alice Gao , Avi Pfeffer

How quickly can a given class of concepts be learned from examples? It is common to measure the performance of a supervised machine learning algorithm by plotting its "learning curve", that is, the decay of the error rate as a function of…

Machine Learning · Computer Science 2020-11-10 Olivier Bousquet , Steve Hanneke , Shay Moran , Ramon van Handel , Amir Yehudayoff

In this paper we study the problem of multiclass classification with a bounded number of different labels $k$, in the realizable setting. We extend the traditional PAC model to a) distribution-dependent learning rates, and b) learning rates…

Machine Learning · Computer Science 2023-02-16 Alkis Kalavasis , Grigoris Velegkas , Amin Karbasi

Learning is a process wherein a learning agent enhances its performance through exposure of experience or data. Throughout this journey, the agent may encounter diverse learning environments. For example, data may be presented to the leaner…

The Fundamental Theorem of PAC Learning asserts that learnability of a concept class $H$ is equivalent to the $\textit{uniform convergence}$ of empirical error in $H$ to its mean, or equivalently, to the problem of $\textit{density…

Machine Learning · Computer Science 2025-03-04 Max Hopkins , Daniel M. Kane , Shachar Lovett , Gaurav Mahajan

We extend the theory of PAC learning in a way which allows to model a rich variety of learning tasks where the data satisfy special properties that ease the learning process. For example, tasks where the distance of the data from the…

Machine Learning · Computer Science 2021-07-22 Noga Alon , Steve Hanneke , Ron Holzman , Shay Moran

One of the main challenges in distributed learning arises from the difficulty of handling heterogeneous local models and data. In light of the recent success of generative models, we propose to meet this challenge by building on the idea of…

Machine Learning · Computer Science 2025-11-04 Dmitrij Schlesinger , Boris Flach

This paper seeks to establish a framework for directing a society of simple, specialized, self-interested agents to solve what traditionally are posed as monolithic single-agent sequential decision problems. What makes it challenging to use…

Machine Learning · Computer Science 2020-08-17 Michael Chang , Sidhant Kaushik , S. Matthew Weinberg , Thomas L. Griffiths , Sergey Levine

We introduce the problem of learning conditional averages in the PAC framework. The learner receives a sample labeled by an unknown target concept from a known concept class, as in standard PAC learning. However, instead of learning the…

This paper introduces a systematic methodological framework to design and analyze distributed algorithms for optimization and games over networks. Starting from a centralized method, we identify an aggregation function involving all the…

Optimization and Control · Mathematics 2025-05-26 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

Monotone learning describes learning processes in which expected performance consistently improves as the amount of training data increases. However, recent studies challenge this conventional wisdom, revealing significant gaps in the…

Machine Learning · Computer Science 2025-05-22 Ming Li , Chenyi Zhang , Qin Li

We study the collaborative PAC learning problem recently proposed in Blum et al.~\cite{BHPQ17}, in which we have $k$ players and they want to learn a target function collaboratively, such that the learned function approximates the target…

Machine Learning · Computer Science 2018-10-15 Jiecao Chen , Qin Zhang , Yuan Zhou

Statistical performance bounds for reinforcement learning (RL) algorithms can be critical for high-stakes applications like healthcare. This paper introduces a new framework for theoretically measuring the performance of such algorithms…

Machine Learning · Computer Science 2018-01-03 Christoph Dann , Tor Lattimore , Emma Brunskill

Proper learning refers to the setting in which learners must emit predictors in the underlying hypothesis class $H$, and often leads to learners with simple algorithmic forms (e.g. empirical risk minimization (ERM), structural risk…

Machine Learning · Computer Science 2025-12-10 Julian Asilis , Siddartha Devic , Shaddin Dughmi , Vatsal Sharan , Shang-Hua Teng

This paper focuses on the relation between computational learning theory and resource-bounded dimension. We intend to establish close connections between the learnability/nonlearnability of a concept class and its corresponding size in…

Computational Complexity · Computer Science 2015-03-17 Ricard Gavalda , Maria Lopez-Valdes , Elvira Mayordomo , N. V. Vinodchandran

High performance machine learning models have become highly dependent on the availability of large quantity and quality of training data. To achieve this, various central agencies such as the government have suggested for different data…

Machine Learning · Computer Science 2019-11-27 Zhiliang Chen

Exchangeable random variables form an important and well-studied generalization of i.i.d. variables, however simple examples show that no nontrivial concept or function classes are PAC learnable under general exchangeable data inputs…

Machine Learning · Computer Science 2016-11-18 Vladimir Pestov
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