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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

Let X be a data matrix of rank \rho, whose rows represent n points in d-dimensional space. The linear support vector machine constructs a hyperplane separator that maximizes the 1-norm soft margin. We develop a new oblivious dimension…

Machine Learning · Computer Science 2014-04-18 Saurabh Paul , Christos Boutsidis , Malik Magdon-Ismail , Petros Drineas

We review the concept of Support Vector Machines (SVMs) and discuss examples of their use in a number of scenarios. Several SVM implementations have been used in HEP and we exemplify this algorithm using the Toolkit for Multivariate…

Data Analysis, Statistics and Probability · Physics 2017-12-06 Adrian Bevan , Rodrigo Gamboa Goñi , Jon Hays , Tom Stevenson

We describe in a rudimentary fashion how SVM(support vector machine) plays the role of classifier in a mathematical setting. We then discuss its application in the study of multiple SNP(single nucleotide polymorphism) variations. Also…

Optimization and Control · Mathematics 2025-10-20 Seung-chan Ahn , Gene Kim , MyungHo Kim

We consider the problem of learning a classifier from observed functional data. Here, each data-point takes the form of a single time-series and contains numerous features. Assuming that each such series comes with a binary label, the…

Machine Learning · Computer Science 2020-02-25 Kristiaan Pelckmans , Hong-Li Zeng

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

Machine Learning · Computer Science 2014-05-26 Teng Zhang , Zhi-Hua Zhou

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

Support Vector Machines (SVM) have gathered significant acclaim as classifiers due to their successful implementation of Statistical Learning Theory. However, in the context of multiclass and multilabel settings, the reliance on…

Machine Learning · Computer Science 2023-07-19 Sambhav Jain Reshma Rastogi

We have made initial studies of the potential of support vector machines (SVM) for providing statistical models of nuclear systematics with demonstrable predictive power. Using SVM regression and classification procedures, we have created…

Nuclear Theory · Physics 2007-05-23 Haochen Li , J. W. Clark , E. Mavrommatis , S. Athanassopoulos , K. A. Gernoth

Support vector machine (SVM) is one of the most popular classification algorithms in the machine learning literature. We demonstrate that SVM can be used to balance covariates and estimate average causal effects under the unconfoundedness…

Methodology · Statistics 2021-07-02 Alexander Tarr , Kosuke Imai

The support vector machines (SVM) algorithm is a popular classification technique in data mining and machine learning. In this paper, we propose a distributed SVM algorithm and demonstrate its use in a number of applications. The algorithm…

Machine Learning · Computer Science 2019-05-02 Taiping He , Tao Wang , Ralph Abbey , Joshua Griffin

The support vector machines (SVM) is a powerful classifier used for binary classification to improve the prediction accuracy. However, the non-differentiability of the SVM hinge loss function can lead to computational difficulties in high…

Machine Learning · Statistics 2023-03-17 Rachid Kharoubi , Abdallah Mkhadri , Karim Oualkacha

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

We propose a novel criterion for support vector machine learning: maximizing the margin in the input space, not in the feature (Hilbert) space. This criterion is a discriminative version of the principal curve proposed by Hastie et al. The…

Artificial Intelligence · Computer Science 2007-05-23 Shotaro Akaho

Transductive SVM (TSVM) is a well known semi-supervised large margin learning method for binary text classification. In this paper we extend this method to multi-class and hierarchical classification problems. We point out that the…

Machine Learning · Computer Science 2012-11-02 Sathiya Keerthi Selvaraj , Sundararajan Sellamanickam , Shirish Shevade

The support vector machine (SVM) is a popular machine learning classification method which produces a nonlinear decision boundary in a feature space by constructing linear boundaries in a transformed Hilbert space. It is well known that…

Quantum Physics · Physics 2017-10-31 Rupak Chatterjee , Ting Yu

This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model…

Machine Learning · Computer Science 2025-03-20 Seyed Mojtaba Mohasel , Hamidreza Koosha

Considering the classification problem, we summarize the nonparallel support vector machines with the nonparallel hyperplanes to two types of frameworks. The first type constructs the hyperplanes separately. It solves a series of small…

Machine Learning · Computer Science 2021-06-28 Chun-Na Li , Yuan-Hai Shao , Huajun Wang , Yu-Ting Zhao , Ling-Wei Huang , Naihua Xiu , Nai-Yang Deng

Support vector machines (SVMs) are a standard tool for binary classification, but their classical formulations are purely data-driven and offer no direct way to encode trusted benchmark models or structured preferences on selected subsets…

Machine Learning · Statistics 2026-04-29 Mohammad Jafari Jozani , Bahram Moeinianfar

Support vector machines represent a promising development in machine learning research that is not widely used within the remote sensing community. This paper reports the results of Multispectral(Landsat-7 ETM+) and Hyperspectral DAIS)data…

Neural and Evolutionary Computing · Computer Science 2009-11-13 Mahesh Pal , Paul M. Mather