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Mathematical modelling, particularly through approaches such as structured sparse support vector machines (SS-SVM), plays a crucial role in processing data with complex feature structures, yet efficient algorithms for distributed…

Machine Learning · Computer Science 2026-01-13 Rongmei Liang , Zizheng Liu , Xiaofei Wu , Jingwen Tu

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

Support vector machines (SVMs) are a well-established classifier effectively deployed in an array of classification tasks. In this work, we consider extending classical SVMs with quantum kernels and applying them to satellite data analysis.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Artur Miroszewski , Jakub Mielczarek , Grzegorz Czelusta , Filip Szczepanek , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

Support vector machine (SVM) has attracted great attentions for the last two decades due to its extensive applications, and thus numerous optimization models have been proposed. To distinguish all of them, in this paper, we introduce a new…

Optimization and Control · Mathematics 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

With data sizes constantly expanding, and with classical machine learning algorithms that analyze such data requiring larger and larger amounts of computation time and storage space, the need to distribute computation and memory…

Machine Learning · Computer Science 2015-12-08 Aruna Govada , Shree Ranjani , Aditi Viswanathan , S. K. Sahay

Support Vector Machines (SVMs) are still one of the most popular and precise classifiers. The Radial Basis Function (RBF) kernel has been used in SVMs to separate among classes with considerable success. However, there is an intrinsic…

Machine Learning · Computer Science 2020-07-17 Karl Thurnhofer-Hemsi , Ezequiel López-Rubio , Miguel A. Molina-Cabello , Kayvan Najarian

Recent advances in the literature have demonstrated that standard supervised learning algorithms are ill-suited for problems with endogenous explanatory variables. To correct for the endogeneity bias, many variants of nonparameteric…

Econometrics · Economics 2021-01-18 Edvard Bakhitov , Amandeep Singh

A machine learning-based detection framework is proposed to detect a class of cyber-attacks that redistribute loads by modifying measurements. The detection framework consists of a multi-output support vector regression (SVR) load predictor…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Zhigang Chu , Oliver Kosut , Lalitha Sankar

Anomaly detection (AD) involves identifying observations or events that deviate in some way from the rest of the data. Machine learning techniques have shown success in automating this process by detecting hidden patterns and deviations in…

Quantum Physics · Physics 2024-01-04 Kilian Tscharke , Sebastian Issel , Pascal Debus

Support Vector Machines (SVMs) are vulnerable to targeted training data manipulations such as poisoning attacks and label flips. By carefully manipulating a subset of training samples, the attacker forces the learner to compute an incorrect…

Machine Learning · Computer Science 2020-08-24 Sandamal Weerasinghe , Tansu Alpcan , Sarah M. Erfani , Christopher Leckie

We derive improved regression and classification rates for support vector machines using Gaussian kernels under the assumption that the data has some low-dimensional intrinsic structure that is described by the box-counting dimension. Under…

Statistics Theory · Mathematics 2021-04-08 Thomas Hamm , Ingo Steinwart

This paper presents a novel kernel-based generative classifier which is defined in a distortion subspace using polynomial series expansion, named Kernel-Distortion (KD) classifier. An iterative kernel selection algorithm is developed to…

Machine Learning · Statistics 2016-06-22 Bo Tang , Paul M. Baggenstoss , Haibo He

Gradient boosting, a method of building additive ensembles from weak learners, has established itself as a practical and theoretically-motivated approach to approximate functions, especially using decision tree weak learners. Comparable…

Machine Learning · Computer Science 2026-03-26 Abhijit Chowdhary , Elizabeth Newman , Deepanshu Verma

Semi-implicit variational inference (SIVI) enhances the expressiveness of variational families through hierarchical semi-implicit distributions, but the intractability of their densities makes standard ELBO-based optimization biased. Recent…

Machine Learning · Statistics 2026-01-21 Longlin Yu , Ziheng Cheng , Shiyue Zhang , Cheng Zhang

There has been great interest recently in applying nonparametric kernel mixtures in a hierarchical manner to model multiple related data samples jointly. In such settings several data features are commonly present: (i) the related samples…

Methodology · Statistics 2017-04-18 Jacopo Soriano , Li Ma

We present a novel coreset construction algorithm for solving classification tasks using Support Vector Machines (SVMs) in a computationally efficient manner. A coreset is a weighted subset of the original data points that provably…

Data Structures and Algorithms · Computer Science 2017-11-13 Cenk Baykal , Lucas Liebenwein , Wilko Schwarting

The Support Vector Machine (SVM) method has been widely used in numerous classification tasks. The main idea of this algorithm is based on the principle of the margin maximization to find an hyperplane which separates the data into two…

Computation and Language · Computer Science 2015-07-23 Rimah Amami , Dorra Ben Ayed , Nouerddine Ellouze

A fundamental problem in supervised learning is to find a good set of features or distance measures. If the new set of features is of lower dimensionality and can be obtained by a simple transformation of the original data, they can make…

Machine Learning · Computer Science 2024-05-15 Anri Patron , Ayush Prasad , Hoang Phuc Hau Luu , Kai Puolamäki

A particularly interesting instance of supervised learning with kernels is when each training example is associated with two objects, as in pairwise classification (Brunner et al., 2012), and in supervised learning of preference relations…

Machine Learning · Computer Science 2016-10-31 Giorgio Gnecco

In the era of big data, an important weapon in a machine learning researcher's arsenal is a scalable Support Vector Machine (SVM) algorithm. SVMs are extensively used for solving classification problems. Traditional algorithms for learning…

Machine Learning · Computer Science 2018-12-07 Haimonti Dutta , Nitin Nataraj