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We study the problem of agnostic PAC reinforcement learning (RL): given a policy class $\Pi$, how many rounds of interaction with an unknown MDP (with a potentially large state and action space) are required to learn an…

Machine Learning · Computer Science 2023-10-11 Zeyu Jia , Gene Li , Alexander Rakhlin , Ayush Sekhari , Nathan Srebro

Linear temporal logic (LTL) and omega-regular objectives -- a superset of LTL -- have seen recent use as a way to express non-Markovian objectives in reinforcement learning. We introduce a model-based probably approximately correct (PAC)…

Machine Learning · Computer Science 2024-02-22 Mateo Perez , Fabio Somenzi , Ashutosh Trivedi

Sequential prediction problems such as imitation learning, where future observations depend on previous predictions (actions), violate the common i.i.d. assumptions made in statistical learning. This leads to poor performance in theory and…

Machine Learning · Computer Science 2015-03-17 Stephane Ross , Geoffrey J. Gordon , J. Andrew Bagnell

This paper studies the robustness of reinforcement learning algorithms to errors in the learning process. Specifically, we revisit the benchmark problem of discrete-time linear quadratic regulation (LQR) and study the long-standing open…

Optimization and Control · Mathematics 2021-03-16 Bo Pang , Zhong-Ping Jiang

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

Machine Learning · Computer Science 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra

A continual learning (CL) algorithm learns from a non-stationary data stream. The non-stationarity is modeled by some schedule that determines how data is presented over time. Most current methods make strong assumptions on the schedule and…

Machine Learning · Computer Science 2022-10-17 Ruohan Wang , Marco Ciccone , Giulia Luise , Andrew Yapp , Massimiliano Pontil , Carlo Ciliberto

The performance of reproducing kernel Hilbert space-based methods is known to be sensitive to the choice of the reproducing kernel. Choosing an adequate reproducing kernel can be challenging and computationally demanding, especially in…

Machine Learning · Computer Science 2023-11-07 Emilio Ruiz-Moreno , Baltasar Beferull-Lozano

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Imitation learning (IL) from a state-based reinforcement learning (RL) policy is a common approach to overcome the curse of dimensionality in complex and high-dimensional observation spaces prevalent in robotics. This paper addresses the…

Machine Learning · Computer Science 2026-05-28 Meraj Mammadov , Pedro Zuidberg Dos Martires , Johannes Andreas Stork

Certified robustness is a critical property for deploying neural networks (NN) in safety-critical applications. A principle approach to achieving such guarantees is to constrain the global Lipschitz constant of the network. However,…

Machine Learning · Computer Science 2025-07-01 Zain ul Abdeen , Vassilis Kekatos , Ming Jin

We prove that every concept class with finite Littlestone dimension can be learned by an (approximate) differentially-private algorithm. This answers an open question of Alon et al. (STOC 2019) who proved the converse statement (this…

Machine Learning · Computer Science 2021-06-23 Mark Bun , Roi Livni , Shay Moran

Autonomous agents powered by LLMs and Retrieval-Augmented Generation (RAG) are proficient consumers of digital content but remain unidirectional, a limitation we term epistemic asymmetry. This isolation leads to redundant reasoning and…

Artificial Intelligence · Computer Science 2025-12-25 Zan-Kai Chong , Hiroyuki Ohsaki , Bryan Ng

In this paper, we leverage the rapid advances in imitation learning, a topic of intense recent focus in the Reinforcement Learning (RL) literature, to develop new sample complexity results and performance guarantees for data-driven Model…

Optimization and Control · Mathematics 2022-10-18 Kwangjun Ahn , Zakaria Mhammedi , Horia Mania , Zhang-Wei Hong , Ali Jadbabaie

Learning problems form an important category of computational tasks that generalizes many of the computations researchers apply to large real-life data sets. We ask: what concept classes can be learned privately, namely, by an algorithm…

Machine Learning · Computer Science 2012-10-10 Shiva Prasad Kasiviswanathan , Homin K. Lee , Kobbi Nissim , Sofya Raskhodnikova , Adam Smith

In this paper, we introduce Traversal Learning (TL), a novel approach designed to address the problem of decreased quality encountered in popular distributed learning (DL) paradigms such as Federated Learning (FL), Split Learning (SL), and…

Machine Learning · Computer Science 2025-09-11 Erdenebileg Batbaatar , Jeonggeol Kim , Yongcheol Kim , Young Yoon

Active learning aims to reduce the number of labeled data points required by machine learning algorithms by selectively querying labels from initially unlabeled data. Ensuring replicability, where an algorithm produces consistent outcomes…

Machine Learning · Computer Science 2026-03-24 Rupkatha Hira , Dominik Kau , Jessica Sorrell

Uniformity testing is arguably one of the most fundamental distribution testing problems. Given sample access to an unknown distribution $\mathbf{p}$ on $[n]$, one must decide if $\mathbf{p}$ is uniform or $\varepsilon$-far from uniform (in…

Machine Learning · Statistics 2024-10-16 Sihan Liu , Christopher Ye

There has been growing progress on theoretical analyses for provably efficient learning in MDPs with linear function approximation, but much of the existing work has made strong assumptions to enable exploration by conventional exploration…

Machine Learning · Computer Science 2020-10-23 Andrea Zanette , Alessandro Lazaric , Mykel J. Kochenderfer , Emma Brunskill

Understanding minimal assumptions that enable learning and generalization is perhaps the central question of learning theory. Several celebrated results in statistical learning theory, such as the VC theorem and Littlestone's…

Machine Learning · Statistics 2026-02-25 Moïse Blanchard , Abhishek Shetty , Alexander Rakhlin

In the problem of learning with label proportions, which we call LLP learning, the training data is unlabeled, and only the proportions of examples receiving each label are given. The goal is to learn a hypothesis that predicts the…

Machine Learning · Computer Science 2020-04-08 Benjamin Fish , Lev Reyzin
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