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We present an algorithm for the statistical learning setting with a bounded exp-concave loss in $d$ dimensions that obtains excess risk $O(d \log(1/\delta)/n)$ with probability at least $1 - \delta$. The core technique is to boost the…

Machine Learning · Computer Science 2016-10-17 Nishant A. Mehta

In many classification problems unlabelled data is abundant and a subset can be chosen for labelling. This defines the context of active learning (AL), where methods systematically select that subset, to improve a classifier by retraining.…

Machine Learning · Statistics 2014-07-31 Lewis P. G. Evans , Niall M. Adams , Christoforos Anagnostopoulos

Off-policy learning (OPL) often involves minimizing a risk estimator based on importance weighting to correct bias from the logging policy used to collect data. However, this method can produce an estimator with a high variance. A common…

Machine Learning · Computer Science 2024-06-06 Imad Aouali , Victor-Emmanuel Brunel , David Rohde , Anna Korba

Learning with Noisy Labels (LNL) has attracted significant attention from the research community. Many recent LNL methods rely on the assumption that clean samples tend to have "small loss". However, this assumption always fails to…

Machine Learning · Computer Science 2022-11-17 MingCai Chen , Yu Zhao , Bing He , Zongbo Han , Bingzhe Wu , Jianhua Yao

This paper studies offline policy learning, which aims at utilizing observations collected a priori (from either fixed or adaptively evolving behavior policies) to learn an optimal individualized decision rule that achieves the best overall…

Machine Learning · Computer Science 2025-06-06 Ying Jin , Zhimei Ren , Zhuoran Yang , Zhaoran Wang

Learning curves are a fundamental primitive in supervised learning, describing how an algorithm's performance improves with more data and providing a quantitative measure of its generalization ability. Formally, a learning curve plots the…

Machine Learning · Computer Science 2026-04-30 Steve Hanneke , Alkis Kalavasis , Shay Moran , Grigoris Velegkas

To scale optimization and simulation, prior work has explored training machine-learning surrogates that map problem parameters to solutions inexpensively at inference time. Unfortunately, commonly used approaches, including supervised and…

Machine Learning · Computer Science 2026-05-12 Khai Nguyen , Petros Ellinas , Anvita Bhagavathula , Priya L. Donti

We investigate approximation guarantees provided by logistic regression for the fundamental problem of agnostic learning of homogeneous halfspaces. Previously, for a certain broad class of "well-behaved" distributions on the examples,…

Machine Learning · Computer Science 2022-02-01 Ziwei Ji , Kwangjun Ahn , Pranjal Awasthi , Satyen Kale , Stefani Karp

We study the sample complexity of the best-case Empirical Risk Minimizer in the setting of stochastic convex optimization. We show that there exists an instance in which the sample size is linear in the dimension, learning is possible, but…

Machine Learning · Computer Science 2026-02-10 Tal Burla , Roi Livni

Linear Temporal Logic (LTL) is widely used to specify high-level objectives for system policies, and it is highly desirable for autonomous systems to learn the optimal policy with respect to such specifications. However, learning the…

Machine Learning · Computer Science 2023-10-26 Daqian Shao , Marta Kwiatkowska

In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as prior knowledge. Unlike most studies in…

Machine Learning · Computer Science 2013-05-21 Mehrdad Mahdavi , Rong Jin

We develop minimax optimal risk bounds for the general learning task consisting in predicting as well as the best function in a reference set G up to the smallest possible additive term, called the convergence rate. When the reference set…

Statistics Theory · Mathematics 2008-03-04 Jean-Yves Audibert

A learning algorithm referred to as Maximum Margin (MM) is proposed for considering the class-imbalance data learning issue: the trained model tends to predict the majority of classes rather than the minority ones. That is, underfitting for…

Machine Learning · Computer Science 2023-03-30 Haeyong Kang , Thang Vu , Chang D. Yoo

We consider online prediction of a binary sequence with expert advice. For this setting, we devise label-efficient forecasting algorithms, which use a selective sampling scheme that enables collecting much fewer labels than standard…

Machine Learning · Statistics 2023-10-23 Rui M. Castro , Fredrik Hellström , Tim van Erven

Complementary-label learning (CLL) is widely used in weakly supervised classification, but it faces a significant challenge in real-world datasets when confronted with class-imbalanced training samples. In such scenarios, the number of…

Machine Learning · Computer Science 2024-03-21 Meng Wei , Yong Zhou , Zhongnian Li , Xinzheng Xu

Learning with label dependent label noise has been extensively explored in both theory and practice; however, dealing with instance (i.e., feature) and label dependent label noise continues to be a challenging task. The difficulty arises…

Machine Learning · Statistics 2023-06-07 Hyungki Im , Paul Grigas

Given a task of predicting $Y$ from $X$, a loss function $L$, and a set of probability distributions $\Gamma$ on $(X,Y)$, what is the optimal decision rule minimizing the worst-case expected loss over $\Gamma$? In this paper, we address…

Machine Learning · Statistics 2017-07-05 Farzan Farnia , David Tse

In this study, we derive Probably Approximately Correct (PAC) bounds on the asymptotic sample-complexity for RL within the infinite-horizon Markov Decision Process (MDP) setting that are sharper than those in existing literature. The…

Machine Learning · Computer Science 2025-07-17 Mohit Prashant , Arvind Easwaran

In the era of deep learning, loss functions determine the range of tasks available to models and algorithms. To support the application of deep learning in multi-label classification (MLC) tasks, we propose the ZLPR (zero-bounded…

Machine Learning · Computer Science 2022-08-08 Jianlin Su , Mingren Zhu , Ahmed Murtadha , Shengfeng Pan , Bo Wen , Yunfeng Liu

A standard approach in pattern classification is to estimate the distributions of the label classes, and then to apply the Bayes classifier to the estimates of the distributions in order to classify unlabeled examples. As one might expect,…

Machine Learning · Computer Science 2007-05-23 Nick Palmer , Paul W. Goldberg