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In this paper, we theoretically justify an approach popular among participants of the Higgs Boson Machine Learning Challenge to optimize approximate median significance (AMS). The approach is based on the following two-stage procedure.…

Machine Learning · Computer Science 2014-12-08 Wojciech Kotłowski

The problem of learning to defer with multiple experts consists of optimally assigning input instances to experts, balancing the trade-off between their accuracy and computational cost. This is a critical challenge in natural language…

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

We present a new active learning framework for multiclass classification based on surrogate risk minimization that operates beyond the standard realizability assumption. Existing surrogate-based active learning algorithms crucially rely on…

Machine Learning · Computer Science 2025-06-05 Atul Ganju , Shashaank Aiyer , Ved Sriraman , Karthik Sridharan

An important challenge in robust machine learning is when training data is provided by strategic sources who may intentionally report erroneous data for their own benefit. A line of work at the intersection of machine learning and mechanism…

Computer Science and Game Theory · Computer Science 2024-12-24 Eric Balkanski , Cherlin Zhu

Many decision-making processes involve solving a combinatorial optimization problem with uncertain input that can be estimated from historic data. Recently, problems in this class have been successfully addressed via end-to-end learning…

Machine Learning · Computer Science 2021-07-07 Maxime Mulamba , Jayanta Mandi , Michelangelo Diligenti , Michele Lombardi , Victor Bucarey , Tias Guns

When a black-box optimization objective can only be evaluated with costly or noisy measurements, most standard optimization algorithms are unsuited to find the optimal solution. Specialized algorithms that deal with exactly this situation…

Machine Learning · Computer Science 2021-06-11 Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

This paper proposes a classification framework with a rejection option to mitigate the performance deterioration caused by adversarial examples. While recent machine learning algorithms achieve high prediction performance, they are…

Machine Learning · Computer Science 2020-10-27 Masahiro Kato , Zhenghang Cui , Yoshihiro Fukuhara

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…

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

We construct and analyze active learning algorithms for the problem of binary classification with abstention. We consider three abstention settings: \emph{fixed-cost} and two variants of \emph{bounded-rate} abstention, and for each of them…

Machine Learning · Computer Science 2019-06-04 Shubhanshu Shekhar , Mohammad Ghavamzadeh , Tara Javidi

In this work, we define cost-free learning (CFL) formally in comparison with cost-sensitive learning (CSL). The main difference between them is that a CFL approach seeks optimal classification results without requiring any cost information,…

Machine Learning · Computer Science 2013-07-23 Xiaowan Zhang , Bao-Gang Hu

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

We provide a unifying view of statistical information measures, multi-way Bayesian hypothesis testing, loss functions for multi-class classification problems, and multi-distribution $f$-divergences, elaborating equivalence results between…

Statistics Theory · Mathematics 2017-09-12 John C. Duchi , Khashayar Khosravi , Feng Ruan

We present consistent algorithms for multiclass learning with complex performance metrics and constraints, where the objective and constraints are defined by arbitrary functions of the confusion matrix. This setting includes many common…

Machine learning models always make a prediction, even when it is likely to be inaccurate. This behavior should be avoided in many decision support applications, where mistakes can have severe consequences. Albeit already studied in 1970,…

Machine Learning · Computer Science 2024-02-22 Kilian Hendrickx , Lorenzo Perini , Dries Van der Plas , Wannes Meert , Jesse Davis

While machine learning models are usually assumed to always output a prediction, there also exist extensions in the form of reject options which allow the model to reject inputs where only a prediction with an unacceptably low certainty…

Machine Learning · Computer Science 2022-02-16 André Artelt , Johannes Brinkrolf , Roel Visser , Barbara Hammer

In recent years, neural network-based classification has been used to improve data analysis at collider experiments. While this strategy proves to be hugely successful, the underlying models are not commonly shared with the public and rely…

High Energy Physics - Phenomenology · Physics 2024-09-30 Sebastian Bieringer , Gregor Kasieczka , Jan Kieseler , Mathias Trabs

In [R. Andreani, G. Haeser, L. M. Mito, H. Ram\'irez C., Weak notions of nondegeneracy in nonlinear semidefinite programming, arXiv:2012.14810, 2020] the classical notion of nondegeneracy (or transversality) and Robinson's constraint…

Optimization and Control · Mathematics 2022-04-19 Roberto Andreani , Gabriel Haeser , Héctor Ramírez C. , Leonardo M. Mito , Thiago P. Silveira

Empirical risk minimization frequently employs convex surrogates to underlying discrete loss functions in order to achieve computational tractability during optimization. However, classical convex surrogates can only tightly bound modular…

Machine Learning · Statistics 2016-04-13 Jiaqian Yu , Matthew Blaschko

We formalize and study the natural approach of designing convex surrogate loss functions via embeddings, for problems such as classification, ranking, or structured prediction. In this approach, one embeds each of the finitely many…

Machine Learning · Computer Science 2022-06-30 Jessie Finocchiaro , Rafael M. Frongillo , Bo Waggoner

A central concern in classification is the vulnerability of machine learning models to adversarial attacks. Adversarial training is one of the most popular techniques for training robust classifiers, which involves minimizing an adversarial…

Machine Learning · Computer Science 2025-10-09 Natalie S. Frank
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