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The purpose of this report is in examining the generalization performance of Support Vector Machines (SVM) as a tool for pattern recognition and object classification. The work is motivated by the growing popularity of the method that is…

Machine Learning · Computer Science 2014-12-16 Eugene Borovikov

We describe a fast method to eliminate features (variables) in l1 -penalized least-square regression (or LASSO) problems. The elimination of features leads to a potentially substantial reduction in running time, specially for large values…

Machine Learning · Computer Science 2011-05-19 Laurent El Ghaoui , Vivian Viallon , Tarek Rabbani

The problem of learning a sparse model is conceptually interpreted as the process of identifying active features/samples and then optimizing the model over them. Recently introduced safe screening allows us to identify a part of non-active…

Machine Learning · Statistics 2016-02-09 Atsushi Shibagaki , Masayuki Karasuyama , Kohei Hatano , Ichiro Takeuchi

Support matrix machine (SMM) is a successful supervised classification model for matrix-type samples. Unlike support vector machines, it employs low-rank regularization on the regression matrix to effectively capture the intrinsic structure…

Optimization and Control · Mathematics 2024-12-12 Can Wu , Dong-Hui Li , Defeng Sun

Sharpness-aware minimization (SAM) seeks the minima with a flat loss landscape to improve the generalization performance in machine learning tasks, including fine-tuning. However, its extra parameter perturbation step doubles the…

Machine Learning · Computer Science 2026-02-11 Yifei Cheng , Xianglin Yang , Guoxia Wang , Chao Huang , Fei Ma , Dianhai Yu , Xiaochun Cao , Li Shen

The support vector machine (SVM) and deep learning (e.g., convolutional neural networks (CNNs)) are the two most famous algorithms in small and big data, respectively. Nonetheless, smaller datasets may be very important, costly, and not…

Machine Learning · Computer Science 2020-02-19 Wei-Chang Yeh

We propose a symbolic representation for support vector machines (SVMs) by means of abstract interpretation, a well-known and successful technique for designing and implementing static program analyses. We leverage this abstraction in two…

Machine Learning · Computer Science 2022-10-25 Abhinandan Pal , Francesco Ranzato , Caterina Urban , Marco Zanella

The model interpretation is essential in many application scenarios and to build a classification model with a ease of model interpretation may provide useful information for further studies and improvement. It is common to encounter with a…

Machine Learning · Statistics 2019-01-07 Wan-Ping Nicole Chen , Yuan-chin Ivan Chang

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

Optimization and Control · Mathematics 2025-07-15 Francesca Maggioni , Andrea Spinelli

Feature selection with specific multivariate performance measures is the key to the success of many applications, such as image retrieval and text classification. The existing feature selection methods are usually designed for…

Machine Learning · Computer Science 2015-03-19 Qi Mao , Ivor W. Tsang

Matching-based methods, especially those based on space-time memory, are significantly ahead of other solutions in semi-supervised video object segmentation (VOS). However, continuously growing and redundant template features lead to an…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Zhihui Lin , Tianyu Yang , Maomao Li , Ziyu Wang , Chun Yuan , Wenhao Jiang , Wei Liu

In many applications, input data are sampled functions taking their values in infinite dimensional spaces rather than standard vectors. This fact has complex consequences on data analysis algorithms that motivate modifications of them. In…

Statistics Theory · Mathematics 2007-05-23 Fabrice Rossi , Nathalie Villa

Support vector machines (SVMs) are special kernel based methods and belong to the most successful learning methods since more than a decade. SVMs can informally be described as a kind of regularized M-estimators for functions and have…

Machine Learning · Statistics 2010-07-26 Andreas Christmann , Robert Hable

Support vector machines (SVMs) appeared in the early nineties as optimal margin classifiers in the context of Vapnik's statistical learning theory. Since then SVMs have been successfully applied to real-world data analysis problems, often…

Statistics Theory · Mathematics 2016-08-16 Javier M. Moguerza , Alberto Muñoz

We investigate the relation of two fundamental tools in machine learning and signal processing, that is the support vector machine (SVM) for classification, and the Lasso technique used in regression. We show that the resulting optimization…

Machine Learning · Computer Science 2014-04-28 Martin Jaggi

In vision-language models (VLMs), visual tokens usually bear a significant amount of computational overhead despite sparsity of information in them when compared to text tokens. To address this, most existing methods learn a network to…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Yuan Zhang , Chun-Kai Fan , Junpeng Ma , Wenzhao Zheng , Tao Huang , Kuan Cheng , Denis Gudovskiy , Tomoyuki Okuno , Yohei Nakata , Kurt Keutzer , Shanghang Zhang

We propose a new convex loss for Support Vector Machines, both for the binary classification and for the regression models. Therefore, we show the mathematical derivation of the dual problems and we experiment with them on several small…

Machine Learning · Computer Science 2026-03-02 Filippo Portera

This chapter describes componentwise Least Squares Support Vector Machines (LS-SVMs) for the estimation of additive models consisting of a sum of nonlinear components. The primal-dual derivations characterizing LS-SVMs for the estimation of…

Machine Learning · Computer Science 2007-05-23 Kristiaan Pelckmans , Ivan Goethals , Jos De Brabanter , Johan A. K. Suykens , Bart De Moor

In this thesis we discuss machine learning methods performing automated variable selection for learning sparse predictive models. There are multiple reasons for promoting sparsity in the predictive models. By relying on a limited set of…

Machine Learning · Computer Science 2019-03-27 Magda Gregorova

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso