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We propose $\ell_1$ norm regularized quadratic surface support vector machine models for binary classification in supervised learning. We establish their desired theoretical properties, including the existence and uniqueness of the optimal…

Machine Learning · Computer Science 2021-03-23 Ahmad Mousavi , Zheming Gao , Lanshan Han , Alvin Lim

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

The support vector machines (SVM) is one of the most widely used and practical optimization based classification models in machine learning because of its interpretability and flexibility to produce high quality results. However, the big…

Machine Learning · Computer Science 2020-11-06 Ehsan Sadrfaridpour , Korey Palmer , Ilya Safro

In the last few years, various types of machine learning algorithms, such as Support Vector Machine (SVM), Support Vector Regression (SVR), and Non-negative Matrix Factorization (NMF) have been introduced. The kernel approach is an…

Machine Learning · Computer Science 2022-12-16 Sajad Fathi Hafshejani , Zahra Moberfard

This paper addresses feature subset selection for Support Vector Machines (SVMs) based on the cross-validation criterion. Unlike statistical criteria such as the Akaike information criterion (AIC) and the Bayesian information criterion…

Optimization and Control · Mathematics 2026-05-11 Masaharu Mori , Shunnosuke Ikeda , Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

This paper extends the idea of Universum learning [1, 2] to single-class learning problems. We propose Single Class Universum-SVM setting that incorporates a priori knowledge (in the form of additional data samples) into the single class…

Machine Learning · Computer Science 2019-09-27 Sauptik Dhar , Vladimir Cherkassky

Support vector machines (SVM) and other kernel techniques represent a family of powerful statistical classification methods with high accuracy and broad applicability. Because they use all or a significant portion of the training data,…

Machine Learning · Statistics 2023-01-31 Peter Mills

This paper presents a novel framework for designing support vector machines (SVMs), which does not impose restriction on the SVM kernel to be positive-definite and allows the user to define memory constraint in terms of fixed template…

Neural and Evolutionary Computing · Computer Science 2020-01-07 P. Kumar , A. R. Nair , O. Chatterjee , T. Paul , A. Ghosh , S. Chakrabartty , C. S. Thakur

This paper addresses the pattern classification problem arising when available target data include some uncertainty information. Target data considered here is either qualitative (a class label) or quantitative (an estimation of the…

Machine Learning · Computer Science 2011-06-20 Emilie Niaf , Rémi Flamary , Carole Lartizien , Stéphane Canu

Automatic diagnosis of coronary heart disease helps the doctor to support in decision making a diagnosis. Coronary heart disease have some types or levels. Referring to the UCI Repository dataset, it divided into 4 types or levels that are…

Machine Learning · Computer Science 2015-11-17 Wiharto Wiharto , Hari Kusnanto , Herianto Herianto

Support vector machines (SVMs) are widely used machine learning models (e.g., in remote sensing), with formulations for both classification and regression tasks. In the last years, with the advent of working quantum annealers, hybrid SVM…

Emerging Technologies · Computer Science 2024-11-05 Enrico Zardini , Amer Delilbasic , Enrico Blanzieri , Gabriele Cavallaro , Davide Pastorello

SVMs were initially developed to perform binary classification; though, applications of binary classification are very limited. Most of the practical applications involve multiclass classification, especially in remote sensing land cover…

Neural and Evolutionary Computing · Computer Science 2008-02-19 Mahesh Pal

Given a training set with binary classification, the Support Vector Machine identifies the hyperplane maximizing the margin between the two classes of training data. This general formulation is useful in that it can be applied without…

Machine Learning · Statistics 2017-02-13 Matt Parker , Colin Parker

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

This paper proposes a frequent pattern data mining algorithm based on support vector machine (SVM), aiming to solve the performance bottleneck of traditional frequent pattern mining algorithms in high-dimensional and sparse data…

Machine Learning · Computer Science 2024-12-23 Pochun Li

We show how, using linear-algebraic tools developed to prove Tverberg's theorem in combinatorial geometry, we can design new models of multi-class support vector machines (SVMs). These supervised learning protocols require fewer conditions…

Machine Learning · Computer Science 2024-04-26 Pablo Soberón

One Class Slab Support Vector Machines (OCSSVM) have turned out to be better in terms of accuracy in certain classes of classification problems than the traditional SVMs and One Class SVMs or even other One class classifiers. This paper…

Machine Learning · Computer Science 2024-09-05 Bagesh Kumar , Ayush Sinha , Sourin Chakrabarti , O. P. Vyas

When neural circuits learn to perform a task, it is often the case that there are many sets of synaptic connections that are consistent with the task. However, only a small number of possible solutions are robust to noise in the input and…

Neurons and Cognition · Quantitative Biology 2022-05-31 Ran Rubin , Haim Sompolinsky

We propose a novel integrated formulation for multiclass and multilabel support vector machines (SVMs). A number of approaches have been proposed to extend the original binary SVM to an all-in-one multiclass SVM. However, its direct…

Machine Learning · Computer Science 2020-03-26 Hoda Shajari , Anand Rangarajan

Economic models produce moment inequalities, which can be used to form tests of the true parameters. Confidence sets (CS) of the true parameters are derived by inverting these tests. However, they often lack analytical expressions,…

Econometrics · Economics 2024-11-14 Lujie Zhou
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