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Robust optimization is a common framework in optimization under uncertainty when the problem parameters are not known, but it is rather known that the parameters belong to some given uncertainty set. In the robust optimization framework the…

Optimization and Control · Mathematics 2014-02-27 Aharon Ben-Tal , Elad Hazan , Tomer Koren , Shie Mannor

Online learning is a model of machine learning where the learner is trained on sequential feedback. We investigate worst-case error for the online learning of real functions that have certain smoothness constraints. Suppose that…

Machine Learning · Computer Science 2025-02-25 Weian Xie

We consider the problem of estimating piecewise regular functions in an online setting, i.e., the data arrive sequentially and at any round our task is to predict the value of the true function at the next revealed point using the available…

Statistics Theory · Mathematics 2022-04-01 Sabyasachi Chatterjee , Subhajit Goswami

We revisit the common practice of evaluating adaptation of Online Continual Learning (OCL) algorithms through the metric of online accuracy, which measures the accuracy of the model on the immediate next few samples. However, we show that…

Machine Learning · Computer Science 2023-05-17 Hasan Abed Al Kader Hammoud , Ameya Prabhu , Ser-Nam Lim , Philip H. S. Torr , Adel Bibi , Bernard Ghanem

We initiate the study of sublinear-time algorithms that access their input via an online adversarial erasure oracle. After answering each input query, such an oracle can erase $t$ input values. Our goal is to understand the complexity of…

Data Structures and Algorithms · Computer Science 2025-01-03 Iden Kalemaj , Sofya Raskhodnikova , Nithin Varma

In autonomous driving, even a meticulously trained model can encounter failures when facing unfamiliar scenarios. One of these scenarios can be formulated as an online continual learning (OCL) problem. That is, data come in an online…

Machine Learning · Computer Science 2024-11-06 Huiping Zhuang , Di Fang , Kai Tong , Yuchen Liu , Ziqian Zeng , Xu Zhou , Cen Chen

As application demands for online convex optimization accelerate, the need for designing new methods that simultaneously cover a large class of convex functions and impose the lowest possible regret is highly rising. Known online…

Machine Learning · Computer Science 2019-06-04 Saeed Masoudian , Ali Arabzadeh , Mahdi Jafari Siavoshani , Milad Jalal , Alireza Amouzad

In recent years, functional linear models have attracted growing attention in statistics and machine learning, with the aim of recovering the slope function or its functional predictor. This paper considers online regularized learning…

Machine Learning · Statistics 2022-11-28 Yuan Mao , Zheng-Chu Guo

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

In this paper, we demonstrate how to learn the objective function of a decision-maker while only observing the problem input data and the decision-maker's corresponding decisions over multiple rounds. We present exact algorithms for this…

Optimization and Control · Mathematics 2020-03-31 Andreas Bärmann , Alexander Martin , Sebastian Pokutta , Oskar Schneider

Online bidding is a classical problem in online decision-making, with applications in resource allocation, hierarchical clustering, and the analysis of approximation algorithms. We study its randomized learning-augmented variant, where an…

Data Structures and Algorithms · Computer Science 2026-05-15 Mathis Degryse , Imrane Saakour , Christoph Dürr , Spyros Angelopoulos

A central capability of intelligent systems is the ability to continuously build upon previous experiences to speed up and enhance learning of new tasks. Two distinct research paradigms have studied this question. Meta-learning views this…

Machine Learning · Computer Science 2019-07-05 Chelsea Finn , Aravind Rajeswaran , Sham Kakade , Sergey Levine

In this paper, we study the online Euclidean spanners problem for points in $\mathbb{R}^d$. Suppose we are given a sequence of $n$ points $(s_1,s_2,\ldots, s_n)$ in $\mathbb{R}^d$, where point $s_i$ is presented in step~$i$ for $i=1,\ldots,…

Computational Geometry · Computer Science 2021-07-05 Sujoy Bhore , Csaba D. Tóth

Algorithms for reinforcement learning (RL) in large state spaces crucially rely on supervised learning subroutines to estimate objects such as value functions or transition probabilities. Since only the simplest supervised learning problems…

Machine Learning · Computer Science 2025-02-13 Dhruv Rohatgi , Dylan J. Foster

Pairwise learning usually refers to a learning task which involves a loss function depending on pairs of examples, among which most notable ones include ranking, metric learning and AUC maximization. In this paper, we study an online…

Machine Learning · Statistics 2015-02-26 Yiming Ying , Ding-Xuan Zhou

Online learning algorithms are fast, memory-efficient, easy to implement, and applicable to many prediction problems, including classification, regression, and ranking. Several online algorithms were proposed in the past few decades, some…

Machine Learning · Computer Science 2015-07-03 Francesco Orabona , Koby Crammer , Nicolò Cesa-Bianchi

Continual Learning (CL) aims to incrementally acquire new knowledge while mitigating catastrophic forgetting. Within this setting, Online Continual Learning (OCL) focuses on updating models promptly and incrementally from single or small…

Machine Learning · Computer Science 2025-12-19 Giovanni Donghi , Luca Pasa , Daniele Zambon , Cesare Alippi , Nicolò Navarin

Online Continual Learning (OCL) aims to learn from endless non\text{-}stationary data streams, yet most existing methods assume a flat label space and overlook the hierarchical organization of real\text{-}world concepts that evolves both…

Machine Learning · Computer Science 2026-05-13 Xinrui Wang , Shao-Yuan Li , Bartłomiej Twardowski , Alexandra Gomez-Villa , Songcan Chen

We study online alignment of large language models under misspecified preference feedback, where the observed preference oracle deviates from an ideal but unknown ground-truth oracle. The online LLM alignment problem is a bi-level…

Machine Learning · Computer Science 2026-02-25 Zimeng Li , Mudit Gaur , Vaneet Aggarwal

Large Language Models (LLMs) have a natural role in answering complex queries about data streams, but the high computational cost of LLM inference makes them infeasible in many such tasks. We propose online cascade learning, the first…

Machine Learning · Computer Science 2024-06-19 Lunyiu Nie , Zhimin Ding , Erdong Hu , Christopher Jermaine , Swarat Chaudhuri
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