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This paper demonstrates the undecidability of a number of logics with quantification over public announcements: arbitrary public announcement logic (APAL), group announcement logic (GAL), and coalition announcement logic (CAL). In APAL we…

Logic in Computer Science · Computer Science 2024-06-07 Thomas Ågotnes , Hans van Ditmarsch , Tim French

Strategic classification studies learning settings in which individuals can modify their features, at a cost, in order to influence the classifier's decision. A central question is how the sample complexity of the induced (strategic)…

Machine Learning · Computer Science 2026-05-15 Yuval Filmus , Shay Moran , Elizaveta Nesterova , Nir Rosenfeld , Alexander Shlimovich

We propose a rigorous decomposition of predictive error, highlighting that not all 'irreducible' error is genuinely immutable. Many domains stand to benefit from iterative enhancements in measurement, construct validity, and modeling. Our…

Machine Learning · Computer Science 2025-02-12 Jiani Yan , Charles Rahal

We formally study the problem of classification under adversarial perturbations from a learner's perspective as well as a third-party who aims at certifying the robustness of a given black-box classifier. We analyze a PAC-type framework of…

Machine Learning · Statistics 2022-02-23 Hassan Ashtiani , Vinayak Pathak , Ruth Urner

In this paper, we address the critical need for interpretable and uncertainty-aware machine learning models in the context of online learning for high-risk industries, particularly cyber-security. While deep learning and other complex…

Machine Learning · Computer Science 2024-11-15 Benjamin Kolicic , Alberto Caron , Chris Hicks , Vasilios Mavroudis

A classical result in learning theory shows the equivalence of PAC learnability of binary hypothesis classes and the finiteness of VC dimension. Extending this to the multiclass setting was an open problem, which was settled in a recent…

Machine Learning · Statistics 2023-03-28 Moses Charikar , Chirag Pabbaraju

In many learning theory problems, a central role is played by a hypothesis class: we might assume that the data is labeled according to a hypothesis in the class (usually referred to as the realizable setting), or we might evaluate the…

Machine Learning · Computer Science 2022-11-17 Lunjia Hu , Charlotte Peale

Abductive Learning (ABL) integrates machine learning with logical reasoning in a loop: a learning model predicts symbolic concept labels from raw inputs, which are revised through abduction using domain knowledge and then fed back for…

Machine Learning · Computer Science 2025-10-31 Wen-Chao Hu , Qi-Jie Li , Lin-Han Jia , Cunjing Ge , Yu-Feng Li , Yuan Jiang , Zhi-Hua Zhou

We study the task of bandit learning, also known as best-arm identification, under the assumption that the true reward function f belongs to a known, but arbitrary, function class F. We seek a general theory of bandit learnability, akin to…

Machine Learning · Computer Science 2025-06-18 Nataly Brukhim , Aldo Pacchiano , Miroslav Dudik , Robert Schapire

It has been quite a long time since AI researchers in the field of computer science stop talking about simulating human intelligence or trying to explain how brain works. Recently, represented by deep learning techniques, the field of…

Artificial Intelligence · Computer Science 2015-09-30 Hao Wu

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

Like many problems in AI in their general form, supervised learning is computationally intractable. We hypothesize that an important reason humans can learn highly complex and varied concepts, in spite of the computational difficulty, is…

Machine Learning · Computer Science 2019-03-18 Carl Trimbach , Michael Littman

We study PAC learnability and PAC stabilizability of Hedonic Games (HGs), i.e., efficiently inferring preferences or core-stable partitions from samples. We first expand the known learnability/stabilizability landscape for some of the most…

Computer Science and Game Theory · Computer Science 2023-02-01 Simone Fioravanti , Michele Flammini , Bojana Kodric , Giovanna Varricchio

In previous work, we have combined computable structure theory and algorithmic learning theory to study which families of algebraic structures are learnable in the limit (up to isomorphism). In this paper, we measure the computational power…

Logic · Mathematics 2021-06-29 Nikolay Bazhenov , Luca San Mauro

We explore questions dealing with the learnability of models of choice over time. We present a large class of preference models defined by a structural criterion for which we are able to obtain an exponential improvement over previously…

Computer Science and Game Theory · Computer Science 2018-09-11 Zachary Chase , Siddharth Prasad

In this paper, we study PAC learnability and certification of predictions under instance-targeted poisoning attacks, where the adversary who knows the test instance may change a fraction of the training set with the goal of fooling the…

Machine Learning · Computer Science 2021-08-10 Ji Gao , Amin Karbasi , Mohammad Mahmoody

Counterfactual explanation generation is a powerful method for Explainable Artificial Intelligence. It can help users understand why machine learning models make specific decisions, and how to change those decisions. Evaluating the…

Machine Learning · Computer Science 2024-06-03 Ao Xu , Tieru Wu

AI deployed in many real-world use cases should be capable of adapting to novelties encountered after deployment. Here, we consider a challenging, under-explored and realistic continual adaptation problem: a deployed AI agent is…

Machine Learning · Computer Science 2024-12-16 Amanda Rios , Ibrahima Ndiour , Parual Datta , Jerry Sydir , Omesh Tickoo , Nilesh Ahuja

A seminal result in learning theory characterizes the PAC learnability of binary classes through the Vapnik-Chervonenkis dimension. Extending this characterization to the general multiclass setting has been open since the pioneering works…

Machine Learning · Computer Science 2022-03-04 Nataly Brukhim , Daniel Carmon , Irit Dinur , Shay Moran , Amir Yehudayoff

We consider learning a predictor which is non-discriminatory with respect to a "protected attribute" according to the notion of "equalized odds" proposed by Hardt et al. [2016]. We study the problem of learning such a non-discriminatory…

Machine Learning · Computer Science 2017-11-03 Blake Woodworth , Suriya Gunasekar , Mesrob I. Ohannessian , Nathan Srebro
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