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We study the generalization performance of online learning algorithms trained on samples coming from a dependent source of data. We show that the generalization error of any stable online algorithm concentrates around its regret--an easily…

Machine Learning · Statistics 2012-06-08 Alekh Agarwal , John C. Duchi

Uniform stability of a learning algorithm is a classical notion of algorithmic stability introduced to derive high-probability bounds on the generalization error (Bousquet and Elisseeff, 2002). Specifically, for a loss function with range…

Machine Learning · Computer Science 2019-03-19 Vitaly Feldman , Jan Vondrak

Score-based generative models (SGMs) have emerged as one of the most popular classes of generative models. A substantial body of work now exists on the analysis of SGMs, focusing either on discretization aspects or on their statistical…

Machine Learning · Statistics 2026-02-10 Benjamin Dupuis , Dario Shariatian , Maxime Haddouche , Alain Durmus , Umut Simsekli

Classifiers can be trained with data-dependent constraints to satisfy fairness goals, reduce churn, achieve a targeted false positive rate, or other policy goals. We study the generalization performance for such constrained optimization…

Machine Learning · Computer Science 2018-10-02 Andrew Cotter , Maya Gupta , Heinrich Jiang , Nathan Srebro , Karthik Sridharan , Serena Wang , Blake Woodworth , Seungil You

A key component of automated algorithm selection and configuration, which in most cases are performed using supervised machine learning (ML) methods is a good-performing predictive model. The predictive model uses the feature representation…

This research delves deeply into Meta Reinforcement Learning (Meta RL) through a exploration focusing on defining generalization limits and ensuring convergence. By employing a approach this article introduces an innovative theoretical…

Machine Learning · Computer Science 2024-05-24 Cangqing Wang , Mingxiu Sui , Dan Sun , Zecheng Zhang , Yan Zhou

Modern supervised machine learning algorithms involve hyperparameters that have to be set before running them. Options for setting hyperparameters are default values from the software package, manual configuration by the user or configuring…

Machine Learning · Statistics 2018-10-23 Philipp Probst , Bernd Bischl , Anne-Laure Boulesteix

We demonstrate that, for a range of state-of-the-art machine learning algorithms, the differences in generalisation performance obtained using default parameter settings and using parameters tuned via cross-validation can be similar in…

Machine Learning · Computer Science 2017-03-21 Anthony Bagnall , Gavin C. Cawley

We explore in some detail the notion of algorithmic stability as a viable framework for analyzing the generalization error of learning algorithms. We introduce the new notion of training stability of a learning algorithm and show that, in a…

Machine Learning · Computer Science 2013-01-07 Samuel Kutin , Partha Niyogi

It is by now well-established that modern over-parameterized models seem to elude the bias-variance tradeoff and generalize well despite overfitting noise. Many recent works attempt to analyze this phenomenon in the relatively tractable…

Machine Learning · Computer Science 2024-02-21 Daniel Barzilai , Ohad Shamir

The primary objective of learning methods is generalization. Classic uniform generalization bounds, which rely on VC-dimension or Rademacher complexity, fail to explain the significant attribute that over-parameterized models in deep…

Machine Learning · Computer Science 2025-03-07 Lijia Yu , Yibo Miao , Yifan Zhu , Xiao-Shan Gao , Lijun Zhang

We derive information-theoretic generalization bounds for supervised learning algorithms based on the information contained in predictions rather than in the output of the training algorithm. These bounds improve over the existing…

Machine Learning · Computer Science 2021-10-06 Hrayr Harutyunyan , Maxim Raginsky , Greg Ver Steeg , Aram Galstyan

Meta-learning, or "learning to learn", refers to techniques that infer an inductive bias from data corresponding to multiple related tasks with the goal of improving the sample efficiency for new, previously unobserved, tasks. A key…

Machine Learning · Computer Science 2021-02-24 Sharu Theresa Jose , Osvaldo Simeone

Statistical machine learning theory often tries to give generalization guarantees of machine learning models. Those models naturally underlie some fluctuation, as they are based on a data sample. If we were unlucky, and gathered a sample…

Machine Learning · Computer Science 2022-11-21 Alexander Mey

Our work revisits the design of mechanisms via the learning-augmented framework. In this model, the algorithm is enhanced with imperfect (machine-learned) information concerning the input, usually referred to as prediction. The goal is to…

Computer Science and Game Theory · Computer Science 2024-10-29 George Christodoulou , Alkmini Sgouritsa , Ioannis Vlachos

This article provides an original understanding of the behavior of a class of graph-oriented semi-supervised learning algorithms in the limit of large and numerous data. It is demonstrated that the intuition at the root of these methods…

Machine Learning · Computer Science 2017-11-10 Xiaoyi Mai , Romain Couillet

Stochastic dominance serves as a general framework for modeling a broad spectrum of decision preferences under uncertainty, with risk aversion as one notable example, as it naturally captures the intrinsic structure of the underlying…

Machine Learning · Computer Science 2026-01-06 Shicong Cen , Jincheng Mei , Hanjun Dai , Dale Schuurmans , Yuejie Chi , Bo Dai

Exponential generalization bounds with near-tight rates have recently been established for uniformly stable learning algorithms. The notion of uniform stability, however, is stringent in the sense that it is invariant to the data-generating…

Machine Learning · Statistics 2022-06-09 Xiao-Tong Yuan , Ping Li

Algorithms for learning programmatic representations for sequential decision-making problems are often evaluated on out-of-distribution (OOD) problems, with the common conclusion that programmatic policies generalize better than neural…

Machine Learning · Computer Science 2025-06-18 Amirhossein Rajabpour , Kiarash Aghakasiri , Sandra Zilles , Levi H. S. Lelis

A large body of recent work has begun to explore the potential of parametrized quantum circuits (PQCs) as machine learning models, within the framework of hybrid quantum-classical optimization. In particular, theoretical guarantees on the…

Quantum Physics · Physics 2023-05-09 Matthias C. Caro , Elies Gil-Fuster , Johannes Jakob Meyer , Jens Eisert , Ryan Sweke
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