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Practical online learning tasks are often naturally defined on unconstrained domains, where optimal algorithms for general convex losses are characterized by the notion of comparator adaptivity. In this paper, we design such algorithms in…

机器学习 · 计算机科学 2022-10-13 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

We address the problem of aggregating an ensemble of predictors with known loss bounds in a semi-supervised binary classification setting, to minimize prediction loss incurred on the unlabeled data. We find the minimax optimal predictions…

机器学习 · 计算机科学 2016-11-08 Akshay Balsubramani , Yoav Freund

The logistic loss function is often advocated in machine learning and statistics as a smooth and strictly convex surrogate for the 0-1 loss. In this paper we investigate the question of whether these smoothness and convexity properties make…

机器学习 · 计算机科学 2014-05-16 Elad Hazan , Tomer Koren , Kfir Y. Levy

We define an online learning and optimization problem with discrete and irreversible decisions contributing toward a coverage target. In each period, a decision-maker selects facilities to open, receives information on the success of each…

机器学习 · 计算机科学 2026-03-06 Alexandre Jacquillat , Michael Lingzhi Li

This paper describes a purely data-driven solution to a class of sequential decision-making problems with a large number of concurrent online decisions, with applications to computing systems and operations research. We assume that while…

人工智能 · 计算机科学 2019-10-02 Hardik Meisheri , Vinita Baniwal , Nazneen N Sultana , Balaraman Ravindran , Harshad Khadilkar

This paper investigates the impact of the loss function in value-based methods for reinforcement learning through an analysis of underlying prediction objectives. We theoretically show that mean absolute error is a better prediction…

机器学习 · 计算机科学 2025-11-11 Alex Ayoub , David Szepesvári , Alireza Bakhtiari , Csaba Szepesvári , Dale Schuurmans

We introduce a simple but general online learning framework in which a learner plays against an adversary in a vector-valued game that changes every round. Even though the learner's objective is not convex-concave (and so the minimax…

机器学习 · 计算机科学 2022-10-14 Daniel Lee , Georgy Noarov , Mallesh Pai , Aaron Roth

We consider the problem of transfer learning in an online setting. Different tasks are presented sequentially and processed by a within-task algorithm. We propose a lifelong learning strategy which refines the underlying data representation…

机器学习 · 统计学 2019-10-14 Pierre Alquier , The Tien Mai , Massimiliano Pontil

We consider distributed online learning protocols that control the exchange of information between local learners in a round-based learning scenario. The learning performance of such a protocol is intuitively optimal if approximately the…

分布式、并行与集群计算 · 计算机科学 2019-12-02 Michael Kamp , Mario Boley , Michael Mock , Daniel Keren , Assaf Schuster , Izchak Sharfman

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

机器学习 · 计算机科学 2013-02-12 H. Brendan McMahan

We present a generalization of the adversarial linear bandits framework, where the underlying losses are kernel functions (with an associated reproducing kernel Hilbert space) rather than linear functions. We study a version of the…

机器学习 · 统计学 2018-02-28 Aldo Pacchiano , Niladri S. Chatterji , Peter L. Bartlett

We consider sequential maximization of performance metrics that are general functions of a confusion matrix of a classifier (such as precision, F-measure, or G-mean). Such metrics are, in general, non-decomposable over individual instances,…

机器学习 · 计算机科学 2024-06-24 Wojciech Kotłowski , Marek Wydmuch , Erik Schultheis , Rohit Babbar , Krzysztof Dembczyński

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

机器学习 · 计算机科学 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We provide the first sub-linear space and sub-linear regret algorithm for online learning with expert advice (against an oblivious adversary), addressing an open question raised recently by Srinivas, Woodruff, Xu and Zhou (STOC 2022). We…

数据结构与算法 · 计算机科学 2022-11-09 Binghui Peng , Fred Zhang

We consider on-line density estimation with a parameterized density from the exponential family. The on-line algorithm receives one example at a time and maintains a parameter that is essentially an average of the past examples. After…

机器学习 · 计算机科学 2013-01-30 Katy S. Azoury , Manfred K. Warmuth

We explore the striking mathematical connections that exist between market scoring rules, cost function based prediction markets, and no-regret learning. We show that any cost function based prediction market can be interpreted as an…

人工智能 · 计算机科学 2010-03-02 Yiling Chen , Jennifer Wortman Vaughan

In online classification, a learner is presented with a sequence of examples and aims to predict their labels in an online fashion so as to minimize the total number of mistakes. In the self-directed variant, the learner knows in advance…

机器学习 · 计算机科学 2023-08-08 Ilias Diakonikolas , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

Though competitive analysis is often a very good tool for the analysis of online algorithms, sometimes it does not give any insight and sometimes it gives counter-intuitive results. Much work has gone into exploring other performance…

数据结构与算法 · 计算机科学 2017-06-14 Joan Boyar , Leah Epstein , Lene M. Favrholdt , Kim S. Larsen , Asaf Levin

Statistical decision problems lie at the heart of statistical machine learning. The simplest problems are binary and multiclass classification and class probability estimation. Central to their definition is the choice of loss function,…

机器学习 · 计算机科学 2023-08-21 Robert C. Williamson , Zac Cranko

We give an algorithmic framework for minimizing general convex objectives (that are differentiable and monotone non-decreasing) over a set of covering constraints that arrive online. This substantially extends previous work on online…

数据结构与算法 · 计算机科学 2014-12-12 Yossi Azar , Ilan Reuven Cohen , Debmalya Panigrahi