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We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the response variables into slices and use a modified form of support…

Statistics Theory · Mathematics 2012-03-14 Bing Li , Andreas Artemiou , Lexin Li

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

Machine Learning · Computer Science 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

Neural likelihood estimation methods for simulation-based inference can suffer from performance degradation when the modeled data is very high-dimensional or lies along a lower-dimensional manifold, which is due to the inability of the…

Machine Learning · Statistics 2025-06-12 Simon Dirmeier , Carlo Albert , Fernando Perez-Cruz

Few Bayesian methods for analyzing high-dimensional sparse survival data provide scalable variable selection, effect estimation and uncertainty quantification. Such methods often either sacrifice uncertainty quantification by computing…

Methodology · Statistics 2022-07-06 Michael Komodromos , Eric Aboagye , Marina Evangelou , Sarah Filippi , Kolyan Ray

Long-term price forecasting remains a formidable challenge due to the inherent uncertainty over the long term, despite some success in short-term predictions. Nonetheless, accurate long-term forecasts are essential for high-net-worth…

Computational Finance · Quantitative Finance 2025-12-18 Mohit Beniwal

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

Machine Learning · Computer Science 2011-11-04 Sangkyun Lee , Stephen J. Wright

Support vector machine (SVM) is a popular classifier known for accuracy, flexibility, and robustness. However, its intensive computation has hindered its application to large-scale datasets. In this paper, we propose a new optimal leverage…

Methodology · Statistics 2023-08-25 Yixin Han , Jun Yu , Nan Zhang , Cheng Meng , Ping Ma , Wenxuan Zhong , Changliang Zou

We compare two quantum approaches that use support vector machines for multi-class classification on a reduced Sloan Digital Sky Survey (SDSS) dataset: the quantum kernel-based QSVM and the Harrow-Hassidim-Lloyd least-squares SVM (HHL…

Quantum Physics · Physics 2025-09-15 Gabriela Pinheiro , Donovan Slabbert , Luis Kowada , Francesco Petruccione

In this paper, we propose a simple variant of the original stochastic variance reduction gradient (SVRG), where hereafter we refer to as the variance reduced stochastic gradient descent (VR-SGD). Different from the choices of the snapshot…

Machine Learning · Computer Science 2017-04-18 Fanhua Shang

In the recent literature, Support Vector Regression (SVR) has been cited as one of the weakest performers on the California Housing benchmark dataset, with Preethi et al. (2025)specifically ranking it last among the algorithms they tested,…

Machine Learning · Computer Science 2026-05-12 Emmanuel Adutwum

Support vector machine (SVM), is a popular kernel method for data classification that demonstrated its efficiency for a large range of practical applications. The method suffers, however, from some weaknesses including; time processing,…

Machine Learning · Computer Science 2023-08-23 Lakhdar Remaki

For their ability to capture non-linearities in the data and to scale to large training sets, local Support Vector Machines (SVMs) have received a special attention during the past decade. In this paper, we introduce a new local SVM method,…

Machine Learning · Statistics 2017-04-04 Valentina Zantedeschi , Rémi Emonet , Marc Sebban

Contrastive self-supervised learning has gained attention for its ability to create high-quality representations from large unlabelled data sets. A key reason that these powerful features enable data-efficient learning of downstream tasks…

Machine Learning · Computer Science 2024-01-29 Calum Heggan , Tim Hospedales , Sam Budgett , Mehrdad Yaghoobi

Despite progress in the rapidly developing field of geometric deep learning, performing statistical analysis on geometric data--where each observation is a shape such as a curve, graph, or surface--remains challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Emmanuel Hartman , Nicolas Charon

Support vector machines (SVMs) are powerful supervised learning tools developed to solve classification problems. However, SVMs are likely to perform poorly in the classification of imbalanced data. The rough set theory presents a…

Machine Learning · Computer Science 2021-05-25 Maysam Behmanesh , Peyman Adibi , Hossein Karshenas

Support vector machines (SVMs) rely on the inherent geometry of a data set to classify training data. Because of this, we believe SVMs are an excellent candidate to guide the development of an analytic feature selection algorithm, as…

Machine Learning · Computer Science 2013-04-23 Carly Stambaugh , Hui Yang , Felix Breuer

This paper analyzes a new regularized learning scheme for high dimensional partially linear support vector machine. The proposed approach consists of an empirical risk and the Lasso-type penalty for linear part, as well as the standard…

Statistics Theory · Mathematics 2020-06-08 Yifan Xia , Yongchao Hou , Shaogao Lv

One of the limiting factors of using support vector machines (SVMs) in large scale applications are their super-linear computational requirements in terms of the number of training samples. To address this issue, several approaches that…

Machine Learning · Statistics 2015-07-24 Mona Eberts , Ingo Steinwart

Popular Hough Transform-based object detection approaches usually construct an appearance codebook by clustering local image features. However, how to choose appropriate values for the parameters used in the clustering step remains an open…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Jianyu Tang , Hanzi Wang , Yan Yan

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

Methodology · Statistics 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu