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Several useful variance-reduced stochastic gradient algorithms, such as SVRG, SAGA, Finito, and SAG, have been proposed to minimize empirical risks with linear convergence properties to the exact minimizer. The existing convergence results…

Machine Learning · Computer Science 2018-02-19 Bicheng Ying , Kun Yuan , Ali H. Sayed

Collecting large-scale medical datasets with fine-grained annotations is time-consuming and requires experts. For this reason, weakly supervised learning aims at optimising machine learning models using weaker forms of annotations, such as…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Gabriele Valvano , Andrea Leo , Sotirios A. Tsaftaris

Is it possible to perform linear regression on datasets whose labels are shuffled with respect to the inputs? We explore this question by proposing several estimators that recover the weights of a noisy linear model from labels that are…

Machine Learning · Statistics 2017-05-05 Abubakar Abid , Ada Poon , James Zou

The $F_\beta$ score is a commonly used measure of classification performance, which plays crucial roles in classification tasks with imbalanced data sets. However, the $F_\beta$ score cannot be used as a loss function by gradient-based…

Machine Learning · Computer Science 2021-04-06 Namgil Lee , Heejung Yang , Hojin Yoo

Counterfactual inference aims to estimate the counterfactual outcome at the individual level given knowledge of an observed treatment and the factual outcome, with broad applications in fields such as epidemiology, econometrics, and…

Machine Learning · Computer Science 2025-10-06 Peng Wu , Haoxuan Li , Chunyuan Zheng , Yan Zeng , Jiawei Chen , Yang Liu , Ruocheng Guo , Kun Zhang

In real-world applications, it is important for machine learning algorithms to be robust against data outliers or corruptions. In this paper, we focus on improving the robustness of a large class of learning algorithms that are formulated…

Machine Learning · Computer Science 2021-06-04 Quanming Yao , Hangsi Yang , En-Liang Hu , James Kwok

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…

Machine Learning · Computer Science 2020-11-04 Rémi Jézéquel , Pierre Gaillard , Alessandro Rudi

We analyze the performance of alternating minimization for loss functions optimized over two variables, where each variable may be restricted to lie in some potentially nonconvex constraint set. This type of setting arises naturally in…

Optimization and Control · Mathematics 2019-02-26 Wooseok Ha , Rina Foygel Barber

Despite the success of machine learning applications in science, industry, and society in general, many approaches are known to be non-robust, often relying on spurious correlations to make predictions. Spuriousness occurs when some…

Computer Vision and Pattern Recognition · Computer Science 2021-06-04 Chun-Hao Chang , George Alexandru Adam , Anna Goldenberg

Rank minimization is of interest in machine learning applications such as recommender systems and robust principal component analysis. Minimizing the convex relaxation to the rank minimization problem, the nuclear norm, is an effective…

Optimization and Control · Mathematics 2021-03-30 April Sagan , John E. Mitchell

We study the problem of estimation and testing in logistic regression with class-conditional noise in the observed labels, which has an important implication in the Positive-Unlabeled (PU) learning setting. With the key observation that the…

Methodology · Statistics 2020-08-14 Hyebin Song , Ran Dai , Garvesh Raskutti , Rina Foygel Barber

In hierarchical multi-label classification, a persistent challenge is enabling model predictions to reach deeper levels of the hierarchy for more detailed or fine-grained classifications. This difficulty partly arises from the natural…

Machine Learning · Computer Science 2026-02-10 Isaac Xu , Martin Gillis , Ayushi Sharma , Benjamin Misiuk , Craig J. Brown , Thomas Trappenberg

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 balanced loss is a widely adopted objective for multi-class classification under class imbalance. By assigning equal importance to all classes, regardless of their frequency, it promotes fairness and ensures that minority classes are…

Machine Learning · Computer Science 2026-01-01 Corinna Cortes , Mehryar Mohri , Yutao Zhong

In forming learning objectives, one oftentimes needs to aggregate a set of individual values to a single output. Such cases occur in the aggregate loss, which combines individual losses of a learning model over each training sample, and in…

Machine Learning · Computer Science 2022-04-05 Shu Hu , Yiming Ying , Xin Wang , Siwei Lyu

Labeling a training set is often expensive and susceptible to errors, making the design of robust loss functions for label noise an important problem. The symmetry condition provides theoretical guarantees for robustness to such noise. In…

Machine Learning · Computer Science 2026-05-21 Alexandre Lemire Paquin , Brahim Chaib-Draa , Philippe Giguère

Many real-world decisions are made under uncertainty by solving optimization problems using predicted quantities. This predict-then-optimize paradigm has motivated decision-focused learning, which trains models with awareness of how the…

Machine Learning · Computer Science 2025-11-10 Paula Rodriguez-Diaz , Kirk Bansak Elisabeth Paulson

This paper presents a novel solution, LEVER, designed to address the challenges posed by underperforming infrequent categories in Extreme Classification (XC) tasks. Infrequent categories, often characterized by sparse samples, suffer from…

Machine Learning · Computer Science 2025-11-13 Ashutosh Agarwal

The problem of ranking/ordering instances, instead of simply classifying them, has recently gained much attention in machine learning. In this paper we formulate the ranking problem in a rigorous statistical framework. The goal is to learn…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Gábor Lugosi , Nicolas Vayatis

Macro-AUC is the arithmetic mean of the class-wise AUCs in multi-label learning and is commonly used in practice. However, its theoretical understanding is far lacking. Toward solving it, we characterize the generalization properties of…

Machine Learning · Computer Science 2023-06-05 Guoqiang Wu , Chongxuan Li , Yilong Yin