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We develop new approaches in multi-class settings for constructing proper scoring rules and hinge-like losses and establishing corresponding regret bounds with respect to the zero-one or cost-weighted classification loss. Our construction…

Statistics Theory · Mathematics 2021-05-18 Zhiqiang Tan , Xinwei Zhang

We revisit online binary classification by shifting the focus from competing with the best-in-class binary loss to competing against relaxed benchmarks that capture smoothed notions of optimality. Instead of measuring regret relative to the…

Machine Learning · Statistics 2025-04-16 Omar Montasser , Abhishek Shetty , Nikita Zhivotovskiy

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…

Machine Learning · Statistics 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

This paper studies online structured prediction with full-information feedback. For online multiclass classification, Van der Hoeven (2020) established \emph{finite} surrogate regret bounds, which are independent of the time horizon, by…

Machine Learning · Computer Science 2024-10-23 Shinsaku Sakaue , Han Bao , Taira Tsuchiya , Taihei Oki

This paper initiates the study of data-dependent regret bounds in constrained MAB settings. These bounds depend on the sequence of losses that characterize the problem instance. Thus, they can be much smaller than classical…

Machine Learning · Computer Science 2025-06-24 Gianmarco Genalti , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Generative models frequently suffer miscalibration, wherein statistics of the sampling distribution, such as the fraction of generations in a given class, deviate from desired values. We frame calibration as a constrained optimization…

Machine Learning · Statistics 2026-05-29 Henry D. Smith , Nathaniel L. Diamant , Brian L. Trippe

We present a comprehensive study of surrogate loss functions for learning to defer. We introduce a broad family of surrogate losses, parameterized by a non-increasing function $\Psi$, and establish their realizable $H$-consistency under…

Machine Learning · Computer Science 2024-07-19 Anqi Mao , Mehryar Mohri , Yutao Zhong

In this paper, we study a classification problem in which sample labels are randomly corrupted. In this scenario, there is an unobservable sample with noise-free labels. However, before being observed, the true labels are independently…

Machine Learning · Statistics 2015-07-21 Tongliang Liu , Dacheng Tao

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…

Machine Learning · Computer Science 2018-05-28 Siwei Lyu , Yiming Ying

The cost-sensitive classification problem plays a crucial role in mission-critical machine learning applications, and differs with traditional classification by taking the misclassification costs into consideration. Although being studied…

Machine Learning · Computer Science 2018-05-22 Parameswaran Kamalaruban , Robert C. Williamson

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

Numerical Analysis · Mathematics 2018-07-04 Steven Mattis , Barbara Wohlmuth

Commonly used classification algorithms in machine learning, such as support vector machines, minimize a convex surrogate loss on training examples. In practice, these algorithms are surprisingly robust to errors in the training data. In…

Machine Learning · Computer Science 2020-12-03 Kunal Talwar

We consider the problem of adaptation to the margin in binary classification. We suggest a penalized empirical risk minimization classifier that adaptively attains, up to a logarithmic factor, fast optimal rates of convergence for the…

Statistics Theory · Mathematics 2007-06-13 A. B. Tsybakov , S. A. van de Geer

In this paper, we study the problem of consistency in the context of adversarial examples. Specifically, we tackle the following question: can surrogate losses still be used as a proxy for minimizing the $0/1$ loss in the presence of an…

Machine Learning · Computer Science 2022-05-23 Laurent Meunier , Raphaël Ettedgui , Rafael Pinot , Yann Chevaleyre , Jamal Atif

We establish a formal connection between the decades-old surrogate outcome model in biostatistics and economics and the emerging field of prediction-powered inference (PPI). The connection treats predictions from pre-trained models,…

Machine Learning · Statistics 2025-01-17 Wenlong Ji , Lihua Lei , Tijana Zrnic

We present a study of surrogate losses and algorithms for the general problem of learning to defer with multiple experts. We first introduce a new family of surrogate losses specifically tailored for the multiple-expert setting, where the…

Machine Learning · Computer Science 2024-04-02 Anqi Mao , Mehryar Mohri , Yutao Zhong

For classification models based on neural networks, the maximum predicted class probability is often used as a confidence score. This score rarely predicts well the probability of making a correct prediction and requires a post-processing…

Machine Learning · Computer Science 2024-11-07 Adrien LeCoz , Stéphane Herbin , Faouzi Adjed

This paper investigates the regret associated with the Distributionally Robust Control (DRC) strategies used to address multistage optimization problems where the involved probability distributions are not known exactly, but rather are…

Optimization and Control · Mathematics 2022-12-02 Venkatraman Renganathan , Dongjun Wu

The statistical consistency of surrogate losses for discrete prediction tasks is often checked via the condition of calibration. However, directly verifying calibration can be arduous. Recent work shows that for polyhedral surrogates, a…

Machine Learning · Computer Science 2025-05-21 Drona Khurana , Anish Thilagar , Dhamma Kimpara , Rafael Frongillo

We study consistency properties of machine learning methods based on minimizing convex surrogates. We extend the recent framework of Osokin et al. (2017) for the quantitative analysis of consistency properties to the case of inconsistent…

Machine Learning · Computer Science 2019-01-10 Kirill Struminsky , Simon Lacoste-Julien , Anton Osokin