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Modern applications in sensitive domains such as biometrics and medicine frequently require the use of non-decomposable loss functions such as precision@k, F-measure etc. Compared to point loss functions such as hinge-loss, these offer much…

Machine Learning · Computer Science 2014-10-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

We study continuous-time online learning where data are generated by a diffusion process with unknown coefficients. The learner employs a two-layer neural network, continuously updating its parameters in a non-anticipative manner. The…

Machine Learning · Computer Science 2026-04-14 Erhan Bayraktar , Bingyan Han , Ziqing Zhang

This paper mainly addresses the distributed online optimization problem where the local objective functions are assumed to be convex or non-convex. First, the distributed algorithms are proposed for the convex and non-convex situations,…

Optimization and Control · Mathematics 2025-03-24 Yaowen Wang , Lipo Mo , Min Zuo , Yuanshi Zheng

Meta-learning of shared initialization parameters has shown to be highly effective in solving few-shot learning tasks. However, extending the framework to many-shot scenarios, which may further enhance its practicality, has been relatively…

Machine Learning · Computer Science 2022-02-17 Jaewoong Shin , Hae Beom Lee , Boqing Gong , Sung Ju Hwang

We present an adaptive step-size method, which does not include line-search techniques, for solving a wide class of nonconvex multiobjective programming problems on an unbounded constraint set. We also prove convergence of a general…

Optimization and Control · Mathematics 2024-02-12 Nguyen Anh Minh , Le Dung Muu , Tran Ngoc Thang

We investigate contextual online learning with nonparametric (Lipschitz) comparison classes under different assumptions on losses and feedback information. For full information feedback and Lipschitz losses, we design the first explicit…

Machine Learning · Statistics 2017-07-03 Nicolò Cesa-Bianchi , Pierre Gaillard , Claudio Gentile , Sébastien Gerchinovitz

Meta-learning seeks to learn a well-generalized model initialization from training tasks to solve unseen tasks. From the "learning to learn" perspective, the quality of the initialization is modeled with one-step gradient decent in the…

Machine Learning · Computer Science 2025-05-07 Jingyao Wang , Wenwen Qiang , Changwen Zheng , Hui Xiong , Gang Hua

We propose a novel approach for analyzing dynamic regret of first-order constrained online convex optimization algorithms for strongly convex and Lipschitz-smooth objectives. Crucially, we provide a general analysis that is applicable to a…

Optimization and Control · Mathematics 2025-08-22 Fabian Jakob , Andrea Iannelli

We aim to design adaptive online learning algorithms that take advantage of any special structure that might be present in the learning task at hand, with as little manual tuning by the user as possible. A fundamental obstacle that comes up…

Machine Learning · Computer Science 2019-05-31 Zakaria Mhammedi , Wouter M. Koolen , Tim van Erven

Multitask learning is a powerful framework that enables one to simultaneously learn multiple related tasks by sharing information between them. Quantifying uncertainty in the estimated tasks is of pivotal importance for many downstream…

Machine Learning · Computer Science 2023-08-04 Pier Giuseppe Sessa , Pierre Laforgue , Nicolò Cesa-Bianchi , Andreas Krause

We study the problem of online learning with non-convex losses, where the learner has access to an offline optimization oracle. We show that the classical Follow the Perturbed Leader (FTPL) algorithm achieves optimal regret rate of…

Machine Learning · Computer Science 2019-09-24 Arun Sai Suggala , Praneeth Netrapalli

We develop a meta-learning framework for simple regret minimization in bandits. In this framework, a learning agent interacts with a sequence of bandit tasks, which are sampled i.i.d.\ from an unknown prior distribution, and learns its…

Machine Learning · Computer Science 2023-07-06 Mohammadjavad Azizi , Branislav Kveton , Mohammad Ghavamzadeh , Sumeet Katariya

Deep learning has non-convex loss landscape and its optimization dynamics is hard to analyze or control. Nevertheless, the dynamics can be empirically convex-like across various tasks, models, optimizers, hyperparameters, etc. In this work,…

Machine Learning · Computer Science 2026-02-10 Zhiqi Bu , Shiyun Xu , Jialin Mao

We consider online learning in episodic loop-free Markov decision processes (MDPs), where the loss function can change arbitrarily between episodes, and the transition function is not known to the learner. We show…

Machine Learning · Computer Science 2019-05-21 Aviv Rosenberg , Yishay Mansour

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

Meta-learning seeks to build algorithms that rapidly learn how to solve new learning problems based on previous experience. In this paper we investigate meta-learning in the setting of stochastic linear bandit tasks. We assume that the…

Machine Learning · Computer Science 2022-05-31 Leonardo Cella , Karim Lounici , Massimiliano Pontil

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

Machine Learning · Computer Science 2025-10-06 Martino Bernasconi , Andrea Celli , Riccardo Colini-Baldeschi , Federico Fusco , Stefano Leonardi , Matteo Russo

Deep reinforcement learning has achieved impressive successes yet often requires a very large amount of interaction data. This result is perhaps unsurprising, as using complicated function approximation often requires more data to fit, and…

Machine Learning · Computer Science 2020-11-20 Jonathan N. Lee , Aldo Pacchiano , Vidya Muthukumar , Weihao Kong , Emma Brunskill

We provide an online learning algorithm that obtains regret $G\|w_\star\|\sqrt{T\log(\|w_\star\|G\sqrt{T})} + \|w_\star\|^2 + G^2$ on $G$-Lipschitz convex losses for any comparison point $w_\star$ without knowing either $G$ or…

Machine Learning · Computer Science 2024-06-03 Ashok Cutkosky , Zakaria Mhammedi

We develop a novel family of algorithms for the online learning setting with regret against any data sequence bounded by the empirical Rademacher complexity of that sequence. To develop a general theory of when this type of adaptive regret…

Machine Learning · Computer Science 2017-04-14 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan