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We present surrogate regret bounds for arbitrary surrogate losses in the context of binary classification with label-dependent costs. Such bounds relate a classifier's risk, assessed with respect to a surrogate loss, to its cost-sensitive…

机器学习 · 统计学 2010-09-15 Clayton Scott

Surrogate risk minimization is an ubiquitous paradigm in supervised machine learning, wherein a target problem is solved by minimizing a surrogate loss on a dataset. Surrogate regret bounds, also called excess risk bounds, are a common tool…

机器学习 · 计算机科学 2021-10-28 Rafael Frongillo , Bo Waggoner

We consider optimization of generalized performance metrics for binary classification by means of surrogate losses. We focus on a class of metrics, which are linear-fractional functions of the false positive and false negative rates…

机器学习 · 计算机科学 2016-10-10 Wojciech Kotłowski , Krzysztof Dembczyński

A fundamental challenge in machine learning is the choice of a loss as it characterizes our learning task, is minimized in the training phase, and serves as an evaluation criterion for estimators. Proper losses are commonly chosen, ensuring…

机器学习 · 统计学 2026-03-04 Han Bao , Asuka Takatsu

We consider the problem of rank loss minimization in the setting of multilabel classification, which is usually tackled by means of convex surrogate losses defined on pairs of labels. Very recently, this approach was put into question by a…

机器学习 · 计算机科学 2012-07-03 Krzysztof Dembczynski , Wojciech Kotlowski , Eyke Huellermeier

Area under ROC (AUC) is an important metric for binary classification and bipartite ranking problems. However, it is difficult to directly optimizing AUC as a learning objective, so most existing algorithms are based on optimizing a…

机器学习 · 计算机科学 2018-05-28 Siwei Lyu , Yiming Ying

Optimization models used to make discrete decisions often contain uncertain parameters that are context-dependent and estimated through prediction. To account for the quality of the decision made based on the prediction, decision-focused…

机器学习 · 计算机科学 2024-07-30 Noah Schutte , Krzysztof Postek , Neil Yorke-Smith

This paper describes an efficient reduction of the learning problem of ranking to binary classification. The reduction guarantees an average pairwise misranking regret of at most that of the binary classifier regret, improving a recent…

机器学习 · 计算机科学 2007-12-07 Nir Ailon , Mehryar Mohri

Recent research has introduced a key notion of $H$-consistency bounds for surrogate losses. These bounds offer finite-sample guarantees, quantifying the relationship between the zero-one estimation error (or other target loss) and the…

机器学习 · 计算机科学 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

We consider the setting of online logistic regression and consider the regret with respect to the 2-ball of radius B. It is known (see [Hazan et al., 2014]) that any proper algorithm which has logarithmic regret in the number of samples…

机器学习 · 计算机科学 2020-11-04 Rémi Jézéquel , Pierre Gaillard , Alessandro Rudi

Bipartite ranking is a fundamental supervised learning problem, with the goal of learning a ranking over instances with maximal Area Under the ROC Curve (AUC) against a single binary target label. However, one may often observe multiple…

This work studies external regret in sequential prediction games with both positive and negative payoffs. External regret measures the difference between the payoff obtained by the forecasting strategy and the payoff of the best action. In…

统计理论 · 数学 2007-06-13 Nicolo Cesa-Bianchi , Yishay Mansour , Gilles Stoltz

Listwise ranking losses have been widely studied in recommender systems. However, new paradigms of content consumption present new challenges for ranking methods. In this work we contribute an analysis of learning to rank for personalized…

信息检索 · 计算机科学 2022-01-20 Yuguang Yue , Yuanpu Xie , Huasen Wu , Haofeng Jia , Shaodan Zhai , Wenzhe Shi , Jonathan J Hunt

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

机器学习 · 计算机科学 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

Online structured prediction, including online classification as a special case, is the task of sequentially predicting labels from input features. In this setting, the surrogate regret -- the cumulative excess of the actual target loss…

机器学习 · 计算机科学 2026-05-15 Shinsaku Sakaue , Han Bao , Yuzhou Cao

Recent work on policy learning from observational data has highlighted the importance of efficient policy evaluation and has proposed reductions to weighted (cost-sensitive) classification. But, efficient policy evaluation need not yield…

机器学习 · 计算机科学 2020-02-13 Andrew Bennett , Nathan Kallus

We use surrogate losses to obtain several new regret bounds and new algorithms for contextual bandit learning. Using the ramp loss, we derive new margin-based regret bounds in terms of standard sequential complexity measures of a benchmark…

机器学习 · 计算机科学 2018-11-06 Dylan J. Foster , Akshay Krishnamurthy

Bilateral trade is a central problem in algorithmic economics, and recent work has explored how to design trading mechanisms using no-regret learning algorithms. However, no-regret learning is impossible when budget balance has to be…

计算机科学与博弈论 · 计算机科学 2025-07-16 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

(Partial) ranking loss is a commonly used evaluation measure for multi-label classification, which is usually optimized with convex surrogates for computational efficiency. Prior theoretical work on multi-label ranking mainly focuses on…

机器学习 · 计算机科学 2021-05-12 Guoqiang Wu , Chongxuan Li , Kun Xu , Jun Zhu

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

机器学习 · 统计学 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven
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