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This article provides a critical review of the main methods used to produce conservative estimators of probabilities of rare events, or critical failures, for reliability and certification studies in the broadest sense. These probabilities…

Statistics Theory · Mathematics 2024-03-27 Nicolas Bousquet

Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter. Given a set of potential subsets produced by a regularization algorithm, a consistent model…

Methodology · Statistics 2014-02-26 Minh-Ngoc Tran

We demonstrate the adaption of three established methods to the field of surrogate machine learning model development. These methods are data augmentation, custom loss functions and transfer learning. Each of these methods have seen…

Machine Learning · Computer Science 2022-11-04 H. Rhys Jones , Tingting Mu , Andrei C. Popescu , Yusuf Sulehman

We study the interplay between surrogate methods for structured prediction and techniques from multitask learning designed to leverage relationships between surrogate outputs. We propose an efficient algorithm based on trace norm…

Machine Learning · Computer Science 2019-03-05 Giulia Luise , Dimitris Stamos , Massimiliano Pontil , Carlo Ciliberto

Deep learning has proven to be effective in a wide variety of loss minimization problems. However, many applications of interest, like minimizing projected Bellman error and min-max optimization, cannot be modelled as minimizing a scalar…

Machine Learning · Computer Science 2025-05-27 Ryan D'Orazio , Danilo Vucetic , Zichu Liu , Junhyung Lyle Kim , Ioannis Mitliagkas , Gauthier Gidel

Classification is often the first problem described in introductory machine learning classes. Generalization guarantees of classification have historically been offered by Vapnik-Chervonenkis theory. Yet those guarantees are based on…

Machine Learning · Statistics 2023-05-24 Vivien Cabannes , Stefano Vigogna

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 presence of label noise often misleads the training of deep neural networks. Departing from the recent literature which largely assumes the label noise rate is only determined by the true label class, the errors in human-annotated…

Machine Learning · Computer Science 2021-03-31 Zhaowei Zhu , Tongliang Liu , Yang Liu

A new strategy for fair supervised machine learning is proposed. The main advantages of the proposed strategy as compared to others in the literature are as follows. (a) We introduce a new smooth nonconvex surrogate to approximate the…

Machine Learning · Computer Science 2025-10-23 Zahra Khatti , Daniel P. Robinson , Frank E. Curtis

We consider optimization of generalized performance metrics for binary classification by means of surrogate losses. We focus on a class of metrics, which are linear-fractional functions of the false positive and false negative rates…

Machine Learning · Computer Science 2016-10-10 Wojciech Kotłowski , Krzysztof Dembczyński

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

In modern classification tasks, the number of labels is getting larger and larger, as is the size of the datasets encountered in practice. As the number of classes increases, class ambiguity and class imbalance become more and more…

Machine Learning · Statistics 2022-07-19 Camille Garcin , Maximilien Servajean , Alexis Joly , Joseph Salmon

We study the problem of structured prediction under test-time budget constraints. We propose a novel approach applicable to a wide range of structured prediction problems in computer vision and natural language processing. Our approach…

Machine Learning · Statistics 2016-06-09 Tolga Bolukbasi , Kai-Wei Chang , Joseph Wang , Venkatesh Saligrama

The accuracy of information retrieval systems is often measured using complex loss functions such as the average precision (AP) or the normalized discounted cumulative gain (NDCG). Given a set of positive and negative samples, the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Pritish Mohapatra , Michal Rolinek , C. V. Jawahar , Vladimir Kolmogorov , M. Pawan Kumar

Machine unlearning seeks to remove the influence of designated training data while preserving performance on the remaining data. Approximate unlearning can be viewed as a local editing problem; in min-max unlearning, the key local object is…

Machine Learning · Computer Science 2026-05-08 Junhao Cai , Dohun Kim , Dowon Kim , Sung Il Choi , Chengjun Jin , Juhyun Park , Changhee Joo

We consider the problem of retrieving the most relevant labels for a given input when the size of the output space is very large. Retrieval methods are modeled as set-valued classifiers which output a small set of classes for each input,…

Machine Learning · Computer Science 2018-10-17 Sashank J. Reddi , Satyen Kale , Felix Yu , Dan Holtmann-Rice , Jiecao Chen , Sanjiv Kumar

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

Machine Learning · Computer Science 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

Classification with abstention has gained a lot of attention in recent years as it allows to incorporate human decision-makers in the process. Yet, abstention can potentially amplify disparities and lead to discriminatory predictions. The…

Machine Learning · Statistics 2021-02-25 Nicolas Schreuder , Evgenii Chzhen

In multiclass classification over $n$ outcomes, the outcomes must be embedded into the reals with dimension at least $n-1$ in order to design a consistent surrogate loss that leads to the "correct" classification, regardless of the data…

Machine Learning · Computer Science 2026-01-21 Enrique Nueve , Bo Waggoner , Dhamma Kimpara , Jessie Finocchiaro

The method of constrained randomisation is applied to three-dimensional simulated galaxy distributions. With this technique we generate for a given data set surrogate data sets which have the same linear properties as the original data…

Astrophysics · Physics 2009-11-07 C. Raeth , W. Bunk , M. Huber , G. Morfill , J. Retzlaff , P. Schuecker