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We present a novel approach to learn binary classifiers when only positive and unlabeled instances are available (PU learning). This problem is routinely cast as a supervised task with label noise in the negative set. We use an ensemble of…

Machine Learning · Statistics 2015-02-13 Marc Claesen , Frank De Smet , Johan A. K. Suykens , Bart De Moor

In support vector machine (SVM) applications with unreliable data that contains a portion of outliers, non-robustness of SVMs often causes considerable performance deterioration. Although many approaches for improving the robustness of SVMs…

Machine Learning · Statistics 2015-07-14 Shinya Suzumura , Kohei Ogawa , Masashi Sugiyama , Masayuki Karasuyama , Ichiro Takeuchi

Variable selection in linear regression settings is a much discussed problem. Best subset selection (BSS) is often considered the intuitive 'gold standard', with its use being restricted only by its NP-hard nature. Alternatives such as the…

Methodology · Statistics 2023-02-24 Moritz Hanke , Louis Dijkstra , Ronja Foraita , Vanessa Didelez

Classifiers and rating scores are prone to implicitly codifying biases, which may be present in the training data, against protected classes (i.e., age, gender, or race). So it is important to understand how to design classifiers and scores…

Machine Learning · Computer Science 2017-10-17 Matt Olfat , Anil Aswani

This paper presents a robust non-linear state estimator for autonomous surface vehicles, where the movement is restricted to the horizontal plane. It is assumed that only the vehicle position and orientation can be measured, being the…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Guillermo Bejarano , Sufiyan N-Yo , Luis Orihuela

This paper studies the addition of linear constraints to the Support Vector Regression (SVR) when the kernel is linear. Adding those constraints into the problem allows to add prior knowledge on the estimator obtained, such as finding…

Optimization and Control · Mathematics 2019-11-07 Quentin Klopfenstein , Samuel Vaiter

This paper examines the role and efficiency of the non-convex loss functions for binary classification problems. In particular, we investigate how to design a simple and effective boosting algorithm that is robust to the outliers in the…

Machine Learning · Statistics 2017-08-25 Alexander Hanbo Li , Jelena Bradic

Sparse autoencoders (SAEs) are used to disentangle the dense, polysemantic internal representations of large language models (LLMs) into interpretable, monosemantic concepts. However, standard $\ell_1$-regularized SAEs suffer from feature…

Machine Learning · Computer Science 2026-05-08 Faris Chaudhry , Keisuke Yano , Anthea Monod

Support Vector Machines (SVM), a popular machine learning technique, has been applied to a wide range of domains such as science, finance, and social networks for supervised learning. Whether it is identifying high-risk patients by…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-20 Jeyanthi Narasimhan , Abhinav Vishnu , Lawrence Holder , Adolfy Hoisie

Stochastic Neural Networks (SNNs) that inject noise into their hidden layers have recently been shown to achieve strong robustness against adversarial attacks. However, existing SNNs are usually heuristically motivated, and often rely on…

Machine Learning · Computer Science 2021-05-27 Panagiotis Eustratiadis , Henry Gouk , Da Li , Timothy Hospedales

Support Vector Machines (SVM) with $\ell_1$ penalty became a standard tool in analysis of highdimensional classification problems with sparsity constraints in many applications including bioinformatics and signal processing. Although SVM…

Information Theory · Computer Science 2015-09-29 Anton Kolleck , Jan Vybíral

A mean field variational Bayes approach to support vector machines (SVMs) using the latent variable representation on Polson & Scott (2012) is presented. This representation allows circumvention of many of the shortcomings associated with…

Methodology · Statistics 2013-05-14 Jan Luts , John T. Ormerod

This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression models with stationary errors (with short or long-memory…

Methodology · Statistics 2024-04-24 Alex Rodrigo dos S. Sousa , Mauricio Zevallos

Heteroscedastic regression is the task of supervised learning where each label is subject to noise from a different distribution. This noise can be caused by the labelling process, and impacts negatively the performance of the learning…

Machine Learning · Computer Science 2021-07-12 Vincent Mai , Waleed Khamies , Liam Paull

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

Computational Engineering, Finance, and Science · Computer Science 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

The support vector machine (SVM) algorithm is well known to the computer learning community for its very good practical results. The goal of the present paper is to study this algorithm from a statistical perspective, using tools of…

Statistics Theory · Mathematics 2008-12-18 Gilles Blanchard , Olivier Bousquet , Pascal Massart

The support vector machine (SVM) has an asymptotic behavior that parallels that of the quasi-maximum likelihood estimator (QMLE) for binary outcomes generated by a binary choice model (BCM), although it is not a QMLE. We show that, under…

Econometrics · Economics 2026-02-02 Yoosoon Chang , Joon Y. Park , Guo Yan

We describe a novel binary classification technique called Banded SVM (B-SVM). In the standard C-SVM formulation of Cortes et al. (1995), the decision rule is encouraged to lie in the interval [1, \infty]. The new B-SVM objective function…

Machine Learning · Statistics 2011-07-13 Gautam V. Pendse

Learning with a {\it convex loss} function has been a dominating paradigm for many years. It remains an interesting question how non-convex loss functions help improve the generalization of learning with broad applicability. In this paper,…

Machine Learning · Computer Science 2018-05-22 Yi Xu , Shenghuo Zhu , Sen Yang , Chi Zhang , Rong Jin , Tianbao Yang

This paper presents a novel and uniform algorithm for edge detection based on SVM (support vector machine) with Three-dimensional Gaussian radial basis function with kernel. Because of disadvantages in traditional edge detection such as…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 Safar Irandoust-Pakchin , Aydin Ayanzadeh , Siamak Beikzadeh