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We study Sparse Multiple Kernel Learning (SMKL), which is the problem of selecting a sparse convex combination of prespecified kernels for support vector binary classification. Unlike prevailing l1 regularized approaches that approximate a…

Machine Learning · Statistics 2025-12-03 Dimitris Bertsimas , Caio de Prospero Iglesias , Nicholas A. G. Johnson

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

Machine Learning · Computer Science 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

Multiple Kernel Learning, or MKL, extends (kernelized) SVM by attempting to learn not only a classifier/regressor but also the best kernel for the training task, usually from a combination of existing kernel functions. Most MKL methods seek…

Machine Learning · Computer Science 2016-03-07 John Moeller , Sarathkrishna Swaminathan , Suresh Venkatasubramanian

Multiple kernel learning (MKL), structured sparsity, and multi-task learning have recently received considerable attention. In this paper, we show how different MKL algorithms can be understood as applications of either regularization on…

Machine Learning · Statistics 2011-03-03 Ryota Tomioka , Taiji Suzuki

In the recent past, automatic selection or combination of kernels (or features) based on multiple kernel learning (MKL) approaches has been receiving significant attention from various research communities. Though MKL has been extensively…

Computer Vision and Pattern Recognition · Computer Science 2014-10-20 Raviteja Vemulapalli , Vinay Praneeth Boda , Rama Chellappa

In this paper, we give a new generalization error bound of Multiple Kernel Learning (MKL) for a general class of regularizations, and discuss what kind of regularization gives a favorable predictive accuracy. Our main target in this paper…

Machine Learning · Statistics 2011-11-17 Taiji Suzuki

In this paper, we give a new sharp generalization bound of lp-MKL which is a generalized framework of multiple kernel learning (MKL) and imposes lp-mixed-norm regularization instead of l1-mixed-norm regularization. We utilize localization…

Machine Learning · Statistics 2011-07-14 Taiji Suzuki

This papers introduces an algorithm for the solution of multiple kernel learning (MKL) problems with elastic-net constraints on the kernel weights. The algorithm compares very favourably in terms of time and space complexity to existing…

Machine Learning · Statistics 2019-04-08 Luca Citi

In this paper, we study the problem of sparse multiple kernel learning (MKL), where the goal is to efficiently learn a combination of a fixed small number of kernels from a large pool that could lead to a kernel classifier with a small…

Machine Learning · Computer Science 2013-02-05 Rong Jin , Tianbao Yang , Mehrdad Mahdavi

We propose a simple yet effective multiple kernel clustering algorithm, termed simple multiple kernel k-means (SimpleMKKM). It extends the widely used supervised kernel alignment criterion to multi-kernel clustering. Our criterion is given…

Machine Learning · Computer Science 2020-05-13 Xinwang Liu , En Zhu , Jiyuan Liu , Timothy Hospedales , Yang Wang , Meng Wang

Multiple Kernel Learning(MKL) on Support Vector Machines(SVMs) has been a popular front of research in recent times due to its success in application problems like Object Categorization. This success is due to the fact that MKL has the…

Machine Learning · Computer Science 2014-01-03 Dinesh Govindaraj , Raman Sankaran , Sreedal Menon , Chiranjib Bhattacharyya

We present a geometric formulation of the Multiple Kernel Learning (MKL) problem. To do so, we reinterpret the problem of learning kernel weights as searching for a kernel that maximizes the minimum (kernel) distance between two convex…

Machine Learning · Computer Science 2014-03-18 John Moeller , Parasaran Raman , Avishek Saha , Suresh Venkatasubramanian

Multiple Kernel Learning (MKL) models combine several kernels in supervised and unsupervised settings to integrate multiple data representations or sources, each represented by a different kernel. MKL seeks an optimal linear combination of…

Machine Learning · Computer Science 2025-12-15 Janaina Mourão-Miranda , Zakria Hussain , Konstantinos Tsirlis , Christophe Phillips , John Shawe-Taylor

Over the past few years, Multi-Kernel Learning (MKL) has received significant attention among data-driven feature selection techniques in the context of kernel-based learning. MKL formulations have been devised and solved for a broad…

Machine Learning · Computer Science 2014-01-22 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Kernel segmentation aims at partitioning a data sequence into several non-overlapping segments that may have nonlinear and complex structures. In general, it is formulated as a discrete optimization problem with combinatorial constraints. A…

Machine Learning · Computer Science 2022-06-23 Tung Doan , Atsuhiro Takasu

In this paper, we are interested in constructing general graph-based regularizers for multiple kernel learning (MKL) given a structure which is used to describe the way of combining basis kernels. Such structures are represented by…

Machine Learning · Statistics 2014-02-14 Ziming Zhang

Multiple Kernel Learning is a conventional way to learn the kernel function in kernel-based methods. MKL algorithms enhance the performance of kernel methods. However, these methods have a lower complexity compared to deep learning models…

Machine Learning · Computer Science 2023-05-05 Ahmad Navid Ghanizadeh , Kamaledin Ghiasi-Shirazi , Reza Monsefi , Mohammadreza Qaraei

Multiple kernel learning (MKL) method is generally believed to perform better than single kernel method. However, some empirical studies show that this is not always true: the combination of multiple kernels may even yield an even worse…

Machine Learning · Statistics 2018-06-21 Zhao Kang , Xiao Lu , Jinfeng Yi , Zenglin Xu

Advances in high-throughput technologies have originated an ever-increasing availability of omics datasets. The integration of multiple heterogeneous data sources is currently an issue for biology and bioinformatics. Multiple kernel…

Machine Learning · Statistics 2024-12-04 Mitja Briscik , Gabriele Tazza , Marie-Agnes Dillies , László Vidács , Sébastien Dejean

We investigate the learning rate of multiple kernel leaning (MKL) with elastic-net regularization, which consists of an $\ell_1$-regularizer for inducing the sparsity and an $\ell_2$-regularizer for controlling the smoothness. We focus on a…

Machine Learning · Statistics 2011-07-14 Taiji Suzuki , Ryota Tomioka , Masashi Sugiyama
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