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This paper deals with robust regression and subspace estimation and more precisely with the problem of minimizing a saturated loss function. In particular, we focus on computational complexity issues and show that an exact algorithm with…

Machine Learning · Computer Science 2019-04-22 Fabien Lauer

In computer vision, it is often observed that formulating regression problems as a classification task often yields better performance. We investigate this curious phenomenon and provide a derivation to show that classification, with the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Shihao Zhang , Linlin Yang , Michael Bi Mi , Xiaoxu Zheng , Angela Yao

This paper investigates theoretical and methodological foundations for stochastic optimal control (SOC) in discrete time. We start formulating the control problem in a general dynamic programming framework, introducing the mathematical…

Machine Learning · Statistics 2025-09-25 Andrea Della Vecchia , Damir Filipović

We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

Machine Learning · Computer Science 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

Areas under ROC (AUROC) and precision-recall curves (AUPRC) are common metrics for evaluating classification performance for imbalanced problems. Compared with AUROC, AUPRC is a more appropriate metric for highly imbalanced datasets. While…

Machine Learning · Computer Science 2023-04-14 Qi Qi , Youzhi Luo , Zhao Xu , Shuiwang Ji , Tianbao Yang

In the multiple linear regression setting, we propose a general framework, termed weighted orthogonal components regression (WOCR), which encompasses many known methods as special cases, including ridge regression and principal components…

Machine Learning · Statistics 2018-01-24 Xiaogang Su , Yaa Wonkye , Pei Wang , Xiangrong Yin

Area under the ROC curve (AUC) optimisation techniques developed for neural networks have recently demonstrated their capabilities in different audio and speech related tasks. However, due to its intrinsic nature, AUC optimisation has…

Sound · Computer Science 2021-10-28 Pablo Gimeno , Victoria Mingote , Alfonso Ortega , Antonio Miguel , Eduardo Lleida

On the basis of convolutional (Hamming) version of recent Neural Network Assembly Memory Model (NNAMM) for intact two-layer autoassociative Hopfield network optimal receiver operating characteristics (ROCs) have been derived analytically. A…

Artificial Intelligence · Computer Science 2007-05-23 Petro M. Gopych

Cost-sensitive learning relies on the availability of a known and fixed cost matrix. However, in some scenarios, the cost matrix is uncertain during training, and re-train a classifier after the cost matrix is specified would not be an…

Machine Learning · Computer Science 2012-09-11 Rui Wang , Ke Tang

Robust Optimal Control (ROC) with adjustable uncertainties has proven to be effective in addressing critical challenges within modern energy networks, especially the reserve and provision problem. However, prior research on ROC with…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yun Li , Neil Yorke-Smith , Tamas Keviczky

The aim of this paper is to present a new estimation procedure that can be applied in many statistical frameworks including density and regression and which leads to both robust and optimal (or nearly optimal) estimators. In density…

Statistics Theory · Mathematics 2017-01-23 Yannick Baraud , Lucien Birgé , Mathieu Sart

There is increasing evidence suggesting neural networks' sensitivity to distribution shifts, so that research on out-of-distribution (OOD) generalization comes into the spotlight. Nonetheless, current endeavors mostly focus on Euclidean…

Machine Learning · Computer Science 2024-08-19 Qitian Wu , Hengrui Zhang , Junchi Yan , David Wipf

We consider the minimization of submodular functions subject to ordering constraints. We show that this optimization problem can be cast as a convex optimization problem on a space of uni-dimensional measures, with ordering constraints…

Machine Learning · Computer Science 2017-07-31 Francis Bach

High dimensional covariance estimation and graphical models is a contemporary topic in statistics and machine learning having widespread applications. An important line of research in this regard is to shrink the extreme spectrum of the…

Methodology · Statistics 2016-06-28 Sang-Yun Oh , Bala Rajaratnam , Joong-Ho Won

Computing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However, obtaining accurate data-driven models can be challenging, especially if the underlying…

Mathematical Physics · Physics 2024-01-03 Alberto Padovan , Blaine Vollmer , Daniel J. Bodony

In many real-world prediction tasks, class labels contain information about the relative order between labels that are not captured by commonly used loss functions such as multicategory cross-entropy. Recently, the preference for unimodal…

Machine Learning · Computer Science 2025-03-21 Jaime S. Cardoso , Ricardo Cruz , Tomé Albuquerque

Many estimation problems in robotics, computer vision, and learning require estimating unknown quantities in the face of outliers. Outliers are typically the result of incorrect data association or feature matching, and it is common to have…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Jingnan Shi , Heng Yang , Luca Carlone

We introduce a new regression framework designed to deal with large-scale, complex data that lies around a low-dimensional manifold with noises. Our approach first constructs a graph representation, referred to as the skeleton, to capture…

Machine Learning · Computer Science 2026-03-17 Zeyu Wei , Yen-Chi Chen

In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

Offline reinforcement learning (RL) aims to optimize a policy using collected data without online interactions. Model-based approaches are particularly appealing for addressing offline RL challenges because of their capability to mitigate…

Machine Learning · Computer Science 2026-04-14 Hao Li , Xiao-Hu Zhou , Shu-Hai Li , Mei-Jiang Gui , Xiao-Liang Xie , Shi-Qi Liu , Shuang-Yi Wang , Zhen-Qiu Feng , Zeng-Guang Hou
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