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We study the problem of learning from multiple untrusted data sources, a scenario of increasing practical relevance given the recent emergence of crowdsourcing and collaborative learning paradigms. Specifically, we analyze the situation in…

Machine Learning · Computer Science 2020-07-01 Nikola Konstantinov , Elias Frantar , Dan Alistarh , Christoph H. Lampert

We study the problem of PAC learning a linear combination of $k$ ReLU activations under the standard Gaussian distribution on $\mathbb{R}^d$ with respect to the square loss. Our main result is an efficient algorithm for this learning task…

Machine Learning · Computer Science 2023-07-26 Ilias Diakonikolas , Daniel M. Kane

In collaborative goal-oriented settings, the participants are not only interested in achieving a successful outcome, but do also implicitly negotiate the effort they put into the interaction (by adapting to each other). In this work, we…

Computation and Language · Computer Science 2024-03-27 Philipp Sadler , Sherzod Hakimov , David Schlangen

We provide new results concerning label efficient, polynomial time, passive and active learning of linear separators. We prove that active learning provides an exponential improvement over PAC (passive) learning of homogeneous linear…

Machine Learning · Computer Science 2013-04-29 Maria Florina Balcan , Philip M. Long

We consider a cooperative learning scenario where a collection of networked agents with individually owned classifiers dynamically update their predictions, for the same classification task, through communication or observations of each…

Data Structures and Algorithms · Computer Science 2024-06-03 Shahrzad Haddadan , Cheng Xin , Jie Gao

We consider the classic problem of $(\epsilon,\delta)$-PAC learning a best arm where the goal is to identify with confidence $1-\delta$ an arm whose mean is an $\epsilon$-approximation to that of the highest mean arm in a multi-armed bandit…

Machine Learning · Computer Science 2020-06-23 Avinatan Hassidim , Ron Kupfer , Yaron Singer

We consider the following problem in this paper: given a set of $n$ distributions, find the top-$m$ ones with the largest means. This problem is also called {\em top-$m$ arm identifications} in the literature of reinforcement learning, and…

Data Structures and Algorithms · Computer Science 2020-09-10 Nikolai Karpov , Qin Zhang , Yuan Zhou

As learning solutions reach critical applications in social, industrial, and medical domains, the need to curtail their behavior has become paramount. There is now ample evidence that without explicit tailoring, learning can lead to biased,…

Machine Learning · Computer Science 2021-02-19 Luiz F. O. Chamon , Alejandro Ribeiro

We continue the study of the computational complexity of differentially private PAC learning and how it is situated within the foundations of machine learning. A recent line of work uncovered a qualitative equivalence between the private…

Machine Learning · Computer Science 2024-02-20 Mark Bun , Aloni Cohen , Rathin Desai

We consider the problem of black-box function optimization over the boolean hypercube. Despite the vast literature on black-box function optimization over continuous domains, not much attention has been paid to learning models for…

Online learning algorithms are widely used in strategic multi-agent settings, including repeated auctions, contract design, and pricing competitions, where agents adapt their strategies over time. A key question in such environments is how…

Computer Science and Game Theory · Computer Science 2025-03-07 Angelos Assos , Yuval Dagan , Nived Rajaraman

This work establishes a new upper bound on the number of samples sufficient for PAC learning in the realizable case. The bound matches known lower bounds up to numerical constant factors. This solves a long-standing open problem on the…

Machine Learning · Computer Science 2016-09-13 Steve Hanneke

Most models of machine teaching and learning assume the learner makes no errors in its internal deductive inference. However, humans and large language models in few-shot learning regimes are two important examples of learners where this…

Machine Learning · Computer Science 2026-05-14 Jan Arne Telle , Brigt Håvardstun , Jose Hernandez-Orallo

Considering a probability distribution over parameters is known as an efficient strategy to learn a neural network with non-differentiable activation functions. We study the expectation of a probabilistic neural network as a predictor by…

Machine Learning · Computer Science 2023-04-17 Louis Fortier-Dubois , Gaël Letarte , Benjamin Leblanc , François Laviolette , Pascal Germain

Since the Fourth Industrial Revolution, AI technology has been widely used in many fields, but there are several limitations that need to be overcome, including overfitting/underfitting, class imbalance, and the limitations of…

Machine Learning · Computer Science 2025-08-18 DongSeong-Yoon

Determining the optimal sample complexity of PAC learning in the realizable setting was a central open problem in learning theory for decades. Finally, the seminal work by Hanneke (2016) gave an algorithm with a provably optimal sample…

Machine Learning · Computer Science 2023-06-19 Kasper Green Larsen

We study the efficient learnability of low-degree polynomial threshold functions (PTFs) in the presence of a constant fraction of adversarial corruptions. Our main algorithmic result is a polynomial-time PAC learning algorithm for this…

Data Structures and Algorithms · Computer Science 2024-04-02 Ilias Diakonikolas , Daniel M. Kane , Vasilis Kontonis , Sihan Liu , Nikos Zarifis

In statistical learning theory, determining the sample complexity of realizable binary classification for VC classes was a long-standing open problem. The results of Simon and Hanneke established sharp upper bounds in this setting. However,…

Machine Learning · Computer Science 2023-04-19 Ishaq Aden-Ali , Yeshwanth Cherapanamjeri , Abhishek Shetty , Nikita Zhivotovskiy

We study the problem of learning to partition users into groups, where one must learn the compatibilities between the users to achieve optimal groupings. We define four natural objectives that optimize for average and worst case…

Machine Learning · Computer Science 2017-03-24 Arun Rajkumar , Koyel Mukherjee , Theja Tulabandhula

We consider the problem of probably approximately correct (PAC) ranking $n$ items by adaptively eliciting subset-wise preference feedback. At each round, the learner chooses a subset of $k$ items and observes stochastic feedback indicating…

Machine Learning · Computer Science 2019-03-06 Aadirupa Saha , Aditya Gopalan
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