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Active learning (AL) algorithms may achieve better performance with fewer data because the model guides the data selection process. While many algorithms have been proposed, there is little study on what the optimal AL algorithm looks like,…

Machine Learning · Computer Science 2021-02-23 Yilun Zhou , Adithya Renduchintala , Xian Li , Sida Wang , Yashar Mehdad , Asish Ghoshal

Continual Learning (CL) aims to develop agents emulating the human ability to sequentially learn new tasks while being able to retain knowledge obtained from past experiences. In this paper, we introduce the novel problem of…

Computer Vision and Pattern Recognition · Computer Science 2022-01-13 Enrico Fini , Stéphane Lathuilière , Enver Sangineto , Moin Nabi , Elisa Ricci

We study a new class of online learning problems where each of the online algorithm's actions is assigned an adversarial value, and the loss of the algorithm at each step is a known and deterministic function of the values assigned to its…

Machine Learning · Computer Science 2014-05-20 Ofer Dekel , Jian Ding , Tomer Koren , Yuval Peres

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

Machine Learning · Computer Science 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

This paper considers a variant of the classical online learning problem with expert predictions. Our model's differences and challenges are due to lacking any direct feedback on the loss each expert incurs at each time step $t$. We propose…

Machine Learning · Computer Science 2020-01-07 Yang Liu , David P. Helmbold

Anomaly detection is an important task in many real world applications such as fraud detection, suspicious activity detection, health care monitoring etc. In this paper, we tackle this problem from supervised learning perspective in online…

Machine Learning · Computer Science 2015-08-28 Chandresh Kumar Maurya , Durga Toshniwal , Gopalan Vijendran Venkoparao

We study the problem of online multi-group learning, a learning model in which an online learner must simultaneously achieve small prediction regret on a large collection of (possibly overlapping) subsequences corresponding to a family of…

Machine Learning · Computer Science 2025-07-16 Samuel Deng , Daniel Hsu , Jingwen Liu

Online learning algorithms have impressive convergence properties when it comes to risk minimization and convex games on very large problems. However, they are inherently sequential in their design which prevents them from taking advantage…

Optimization and Control · Mathematics 2009-11-04 John Langford , Alexander Smola , Martin Zinkevich

We investigate the concept of algorithmic replicability introduced by Impagliazzo et al. 2022, Ghazi et al. 2021, Ahn et al. 2024 in an online setting. In our model, the input sequence received by the online learner is generated from…

Machine Learning · Computer Science 2024-11-22 Saba Ahmadi , Siddharth Bhandari , Avrim Blum

We consider prediction with expert advice when the loss vectors are assumed to lie in a set described by the sum of atomic norm balls. We derive a regret bound for a general version of the online mirror descent (OMD) algorithm that uses a…

Machine Learning · Computer Science 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

We present a new perspective on online learning that we refer to as gradient equilibrium: a sequence of iterates achieves gradient equilibrium if the average of gradients of losses along the sequence converges to zero. In general, this…

Machine Learning · Computer Science 2025-02-19 Anastasios N. Angelopoulos , Michael I. Jordan , Ryan J. Tibshirani

We consider ordinal online problems, i.e., tasks that only require pairwise comparisons between elements of the input. A classic example is the secretary problem and the game of googol, as well as its multiple combinatorial extensions such…

Data Structures and Algorithms · Computer Science 2023-10-13 Nick Gravin , Enze Sun , Zhihao Gavin Tang

We study learning control in an online reset-free lifelong learning scenario, where mistakes can compound catastrophically into the future and the underlying dynamics of the environment may change. Traditional model-free policy learning…

Machine Learning · Computer Science 2020-06-30 Kevin Lu , Igor Mordatch , Pieter Abbeel

We study online learning in adversarial nonstationary environments. Since the future can be very different from the past, a critical challenge is to gracefully forget the history while new data comes in. To formalize this intuition, we…

Machine Learning · Computer Science 2024-06-21 Zhiyu Zhang , David Bombara , Heng Yang

In this paper we consider online mirror descent (OMD) algorithms, a class of scalable online learning algorithms exploiting data geometric structures through mirror maps. Necessary and sufficient conditions are presented in terms of the…

Machine Learning · Computer Science 2019-12-16 Yunwen Lei , Ding-Xuan Zhou

On-line learning of a hierarchical learning model is studied by a method from statistical mechanics. In our model a student of a simple perceptron learns from not a true teacher directly, but ensemble teachers who learn from the true…

Disordered Systems and Neural Networks · Physics 2009-11-13 Takeshi Hirama , Koji Hukushima

Frequently, when dealing with many machine learning models, optimization problems appear to be challenging due to a limited understanding of the constructions and characterizations of the objective functions in these problems. Therefore,…

Optimization and Control · Mathematics 2024-11-27 A. V. Gasnikov , M. S. Alkousa , A. V. Lobanov , Y. V. Dorn , F. S. Stonyakin , I. A. Kuruzov , S. R. Singh

This paper introduces a family of learning-augmented algorithms for online knapsack problems that achieve near Pareto-optimal consistency-robustness trade-offs through a simple combination of trusted learning-augmented and worst-case…

Machine Learning · Computer Science 2025-07-10 Mohammadreza Daneshvaramoli , Helia Karisani , Adam Lechowicz , Bo Sun , Cameron Musco , Mohammad Hajiesmaili

Continual learning requires incremental compatibility with a sequence of tasks. However, the design of model architecture remains an open question: In general, learning all tasks with a shared set of parameters suffers from severe…

Machine Learning · Computer Science 2022-07-15 Liyuan Wang , Xingxing Zhang , Qian Li , Jun Zhu , Yi Zhong

We consider a statistical version of curriculum learning (CL) in a parametric prediction setting. The learner is required to estimate a target parameter vector, and can adaptively collect samples from either the target model, or other…

Machine Learning · Computer Science 2024-02-22 Omer Cohen , Ron Meir , Nir Weinberger