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In contextual linear bandits, the reward function is assumed to be a linear combination of an unknown reward vector and a given embedding of context-arm pairs. In practice, the embedding is often learned at the same time as the reward…

Machine Learning · Computer Science 2022-12-20 Andrea Tirinzoni , Matteo Pirotta , Alessandro Lazaric

We study the complexity of learning real-valued Multi-Index Models (MIMs) under the Gaussian distribution. A $K$-MIM is a function $f:\mathbb{R}^d\to \mathbb{R}$ that depends only on the projection of its input onto a $K$-dimensional…

Machine Learning · Computer Science 2025-05-28 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Lisheng Ren

The problem of stochastic convex optimization with bandit feedback (in the learning community) or without knowledge of gradients (in the optimization community) has received much attention in recent years, in the form of algorithms and…

Machine Learning · Computer Science 2013-04-30 Ohad Shamir

Deep multi-view clustering methods have achieved remarkable performance. However, all of them failed to consider the difficulty labels (uncertainty of ground-truth for training samples) over multi-view samples, which may result into a…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Renhao Sun

In this paper, we consider the problem of replicable realizable PAC learning. We construct a particularly hard learning problem and show a sample complexity lower bound with a close to $(\log|H|)^{3/2}$ dependence on the size of the…

Machine Learning · Computer Science 2026-02-24 Kasper Green Larsen , Markus Engelund Mathiasen , Chirag Pabbaraju , Clement Svendsen

This paper contributes to the study of CPAC learnability -- a computable version of PAC learning -- by solving three open questions from recent papers. Firstly, we prove that every improperly CPAC learnable class is contained in a class…

Computational Complexity · Computer Science 2023-02-24 Valentino Delle Rose , Alexander Kozachinskiy , Cristobal Rojas , Tomasz Steifer

An active learner is given a class of models, a large set of unlabeled examples, and the ability to interactively query labels of a subset of these examples; the goal of the learner is to learn a model in the class that fits the data well.…

Machine Learning · Computer Science 2015-06-09 Kamalika Chaudhuri , Sham Kakade , Praneeth Netrapalli , Sujay Sanghavi

Stochastic structured prediction under bandit feedback follows a learning protocol where on each of a sequence of iterations, the learner receives an input, predicts an output structure, and receives partial feedback in form of a task loss…

Computation and Language · Computer Science 2017-04-24 Artem Sokolov , Julia Kreutzer , Christopher Lo , Stefan Riezler

We generalize the PAC (probably approximately correct) learning model to the quantum world by generalizing the concepts from classical functions to quantum processes, defining the problem of \emph{PAC learning quantum process}, and study…

Quantum Physics · Physics 2021-05-20 Kai-Min Chung , Han-Hsuan Lin

We consider PAC learning of probability distributions (a.k.a. density estimation), where we are given an i.i.d. sample generated from an unknown target distribution, and want to output a distribution that is close to the target in total…

Machine Learning · Computer Science 2018-06-05 Hassan Ashtiani , Shai Ben-David , Abbas Mehrabian

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 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

Contextual bandit learning is a reinforcement learning problem where the learner repeatedly receives a set of features (context), takes an action and receives a reward based on the action and context. We consider this problem under a…

Machine Learning · Computer Science 2012-03-05 Alekh Agarwal , Miroslav Dudík , Satyen Kale , John Langford , Robert E. Schapire

Contextual multi-armed bandits are a popular choice to model sequential decision-making. E.g., in a healthcare application we may perform various tests to asses a patient condition (exploration) and then decide on the best treatment to give…

Machine Learning · Computer Science 2025-04-08 Mirco Mutti , Jeongyeol Kwon , Shie Mannor , Aviv Tamar

List learning is a variant of supervised classification where the learner outputs multiple plausible labels for each instance rather than just one. We investigate classical principles related to generalization within the context of list…

Machine Learning · Computer Science 2026-03-24 Steve Hanneke , Shay Moran , Tom Waknine

Multi-distribution learning is a natural generalization of PAC learning to settings with multiple data distributions. There remains a significant gap between the known upper and lower bounds for PAC-learnable classes. In particular, though…

Machine Learning · Computer Science 2023-07-25 Pranjal Awasthi , Nika Haghtalab , Eric Zhao

We introduce a stochastic contextual bandit model where at each time step the environment chooses a distribution over a context set and samples the context from this distribution. The learner observes only the context distribution while the…

Machine Learning · Statistics 2019-11-15 Johannes Kirschner , Andreas Krause

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

We investigate a novel cluster-of-bandit algorithm CAB for collaborative recommendation tasks that implements the underlying feedback sharing mechanism by estimating the neighborhood of users in a context-dependent manner. CAB makes sharp…

Machine Learning · Computer Science 2017-02-28 Claudio Gentile , Shuai Li , Purushottam Kar , Alexandros Karatzoglou , Evans Etrue , Giovanni Zappella

One method for obtaining generalizable solutions to machine learning tasks when presented with diverse training environments is to find \textit{invariant representations} of the data. These are representations of the covariates such that…

Machine Learning · Computer Science 2022-08-16 Advait Parulekar , Karthikeyan Shanmugam , Sanjay Shakkottai
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