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We consider the problem of online multiclass classification with partial feedback, where an algorithm predicts a class for a new instance in each round and only receives its correctness. Although several methods have been developed for this…

Machine Learning · Computer Science 2019-02-05 Takuo Kaneko , Issei Sato , Masashi Sugiyama

Class imbalance remains a major challenge in machine learning, especially in multi-class problems with long-tailed distributions. Existing methods, such as data resampling, cost-sensitive techniques, and logistic loss modifications, though…

Machine Learning · Computer Science 2025-12-30 Corinna Cortes , Anqi Mao , Mehryar Mohri , Yutao Zhong

Margin-based classifiers have been popular in both machine learning and statistics for classification problems. Since a large number of classifiers are available, one natural question is which type of classifiers should be used given a…

Machine Learning · Statistics 2021-10-19 Hanwen Huang , Qinglong Yang

We prove bounds on the population risk of the maximum margin algorithm for two-class linear classification. For linearly separable training data, the maximum margin algorithm has been shown in previous work to be equivalent to a limit of…

Machine Learning · Statistics 2021-06-03 Niladri S. Chatterji , Philip M. Long

We present a new perspective on the popular multi-class algorithmic techniques of one-vs-all and error correcting output codes. Rather than studying the behavior of these techniques for supervised learning, we establish a connection between…

Machine Learning · Computer Science 2016-11-28 Maria Florina Balcan , Travis Dick , Yishay Mansour

The key issue of few-shot learning is learning to generalize. This paper proposes a large margin principle to improve the generalization capacity of metric based methods for few-shot learning. To realize it, we develop a unified framework…

Machine Learning · Computer Science 2018-09-24 Yong Wang , Xiao-Ming Wu , Qimai Li , Jiatao Gu , Wangmeng Xiang , Lei Zhang , Victor O. K. Li

In this work we study the semi-supervised framework of confidence set classification with controlled expected size in minimax settings. We obtain semi-supervised minimax rates of convergence under the margin assumption and a H{\"o}lder…

Statistics Theory · Mathematics 2019-04-30 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri

We consider a standard binary classification problem. The performance of any binary classifier based on the training data is characterized by the excess risk. We study Bahadur's type exponential bounds on the minimax accuracy confidence…

Machine Learning · Statistics 2011-11-29 N. I. Pentacaput

Classification is an important statistical learning tool. In real application, besides high prediction accuracy, it is often desirable to estimate class conditional probabilities for new observations. For traditional problems where the…

Statistics Theory · Mathematics 2025-03-18 Guo Xian Yau , Chong Zhang

We study linear regressions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often…

Econometrics · Economics 2025-11-18 Xavier D'Haultfoeuille , Christophe Gaillac , Arnaud Maurel

We study the behavior of linear discriminant functions for binary classification in the infinite-imbalance limit, where the sample size of one class grows without bound while the sample size of the other remains fixed. The coefficients of…

Machine Learning · Statistics 2023-05-15 Paul Glasserman , Mike Li

In this paper we discuss a novel framework for multiclass learning, defined by a suitable coding/decoding strategy, namely the simplex coding, that allows to generalize to multiple classes a relaxation approach commonly used in binary…

Machine Learning · Statistics 2015-03-20 Youssef Mroueh , Tomaso Poggio , Lorenzo Rosasco , Jean-Jacques Slotine

Binary classification involves predicting the label of an instance based on whether the model score for the positive class exceeds a threshold chosen based on the application requirements (e.g., maximizing recall for a precision bound).…

Machine Learning · Computer Science 2023-11-21 Gundeep Arora , Srujana Merugu , Anoop Saladi , Rajeev Rastogi

We develop a rigorous mathematical analysis of zero-shot learning with attributes. In this setting, the goal is to label novel classes with no training data, only detectors for attributes and a description of how those attributes are…

Machine Learning · Computer Science 2022-11-29 Alessio Mazzetto , Cristina Menghini , Andrew Yuan , Eli Upfal , Stephen H. Bach

In this work, we study the learning theory of reward modeling with pairwise comparison data using deep neural networks. We establish a novel non-asymptotic regret bound for deep reward estimators in a non-parametric setting, which depends…

Machine Learning · Statistics 2025-05-13 Yuanhang Luo , Yeheng Ge , Ruijian Han , Guohao Shen

New bounds on classification error rates for the error-correcting output code (ECOC) approach in machine learning are presented. These bounds have exponential decay complexity with respect to codeword length and theoretically validate the…

Machine Learning · Computer Science 2021-09-21 Hieu D. Nguyen , Mohammed Sarosh Khan , Nicholas Kaegi , Shen-Shyang Ho , Jonathan Moore , Logan Borys , Lucas Lavalva

We study the problem of learning classifiers with a fairness constraint, with three main contributions towards the goal of quantifying the problem's inherent tradeoffs. First, we relate two existing fairness measures to cost-sensitive…

Machine Learning · Computer Science 2017-05-26 Aditya Krishna Menon , Robert C. Williamson

Learning algorithms need bias to generalize and perform better than random guessing. We examine the flexibility (expressivity) of biased algorithms. An expressive algorithm can adapt to changing training data, altering its outcome based on…

Machine Learning · Statistics 2019-11-13 Julius Lauw , Dominique Macias , Akshay Trikha , Julia Vendemiatti , George D. Montanez

Real-world applications of machine learning tools in high-stakes domains are often regulated to be fair, in the sense that the predicted target should satisfy some quantitative notion of parity with respect to a protected attribute.…

Machine Learning · Computer Science 2022-02-07 Han Zhao , Geoffrey J. Gordon

Minimizing inconsistencies across successive versions of an AI system is as crucial as reducing the overall error. In image classification, such inconsistencies manifest as negative flips, where an updated model misclassifies test samples…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Simone Ricci , Niccolò Biondi , Federico Pernici , Alberto Del Bimbo
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