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Objective: Brain networks have gained increasing recognition as potential biomarkers in mental health studies, but there are limited approaches that can leverage complex brain networks for accurate classification. Our goal is to develop a…

Methodology · Statistics 2022-05-25 Jin Ming , Suprateek Kundu

Stochastic gradient descent algorithms for training linear and kernel predictors are gaining more and more importance, thanks to their scalability. While various methods have been proposed to speed up their convergence, the model selection…

Machine Learning · Computer Science 2014-06-17 Francesco Orabona

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

We present a novel variation of online kernel machines in which we exploit a consensus based optimization mechanism to guide the evolution of decision functions drawn from a reproducing kernel Hilbert space, which efficiently models the…

Machine Learning · Statistics 2019-12-18 Raghu G. Raj

We introduce a similarity function on formulae of signal temporal logic (STL). It comes in the form of a kernel function, well known in machine learning as a conceptually and computationally efficient tool. The corresponding kernel trick…

Logic in Computer Science · Computer Science 2022-01-26 Luca Bortolussi , Giuseppe Maria Gallo , Jan Křetínský , Laura Nenzi

This paper presents an algorithm, Voted Kernel Regularization , that provides the flexibility of using potentially very complex kernel functions such as predictors based on much higher-degree polynomial kernels, while benefitting from…

Machine Learning · Computer Science 2015-09-16 Corinna Cortes , Prasoon Goyal , Vitaly Kuznetsov , Mehryar Mohri

We present a novel framework for kernel learning with sequential data of any kind, such as time series, sequences of graphs, or strings. Our approach is based on signature features which can be seen as an ordered variant of sample…

Machine Learning · Statistics 2016-02-01 Franz J Király , Harald Oberhauser

The sequential minimal optimization (SMO) algorithm and variants thereof are the de facto standard method for solving large quadratic programs for support vector machine (SVM) training. In this paper we propose a simple yet powerful…

Machine Learning · Computer Science 2013-08-01 Tobias Glasmachers

Kernel machines often yield superior predictive performance on various tasks; however, they suffer from severe computational challenges. In this paper, we show how to overcome the important challenge of speeding up kernel machines. In…

Machine Learning · Computer Science 2016-08-09 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon

Kernel methods provide an elegant and principled approach to nonparametric learning, but so far could hardly be used in large scale problems, since na\"ive implementations scale poorly with data size. Recent advances have shown the benefits…

Machine Learning · Computer Science 2020-11-30 Giacomo Meanti , Luigi Carratino , Lorenzo Rosasco , Alessandro Rudi

In previous works, neural sequence models have been shown to improve significantly if external prior knowledge can be provided, for instance by allowing the model to access the embeddings of explicit features during both training and…

Computation and Language · Computer Science 2018-12-31 Cong Duy Vu Hoang , Ioan Calapodescu , Marc Dymetman

Recent work has developed Bayesian methods for the automatic statistical analysis and description of single time series as well as of homogeneous sets of time series data. We extend prior work to create an interpretable kernel embedding for…

Machine Learning · Computer Science 2019-08-27 Andre T. Nguyen , Edward Raff

This paper examines the efficacy of different optimization techniques in a primal formulation of a support vector machine (SVM). Three main techniques are compared. The dataset used to compare all three techniques was the Sentiment Analysis…

Machine Learning · Computer Science 2014-07-01 Jonathan Katzman , Diane Duros

Neural support vector machines (NSVMs) allow for the incorporation of domain knowledge in the design of the model architecture. In this article we introduce a set of training algorithms for NSVMs that leverage the Pegasos algorithm and…

Machine Learning · Computer Science 2023-08-15 Lars Simon , Manuel Radons

In this article, a large dimensional performance analysis of kernel least squares support vector machines (LS-SVMs) is provided under the assumption of a two-class Gaussian mixture model for the input data. Building upon recent advances in…

Machine Learning · Statistics 2021-03-18 Zhenyu Liao , Romain Couillet

Support Vector Machines have been a popular topic for quite some time now, and as they develop, a need for new methods of feature selection arises. This work presents various approaches SVM feature selection developped using new tools such…

Machine Learning · Computer Science 2019-05-27 Tangui Aladjidi , François Pasqualini

We present an approximation scheme for support vector machine models that use an RBF kernel. A second-order Maclaurin series approximation is used for exponentials of inner products between support vectors and test instances. The…

Machine Learning · Statistics 2014-10-06 Marc Claesen , Frank De Smet , Johan A. K. Suykens , Bart De Moor

We consider the problem of metric learning for multi-view data and present a novel method for learning within-view as well as between-view metrics in vector-valued kernel spaces, as a way to capture multi-modal structure of the data. We…

Machine Learning · Computer Science 2018-03-22 Riikka Huusari , Hachem Kadri , Cécile Capponi

Although support vector machines (SVMs) are theoretically well understood, their underlying optimization problem becomes very expensive, if, for example, hundreds of thousands of samples and a non-linear kernel are considered. Several…

Machine Learning · Statistics 2018-02-09 Philipp Thomann , Ingrid Blaschzyk , Mona Meister , Ingo Steinwart

Classical machine learning has proven remarkably useful in post-processing quantum data, yet typical learning algorithms often require prior training to be effective. In this work, we employ a tensorial kernel support vector machine…