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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

We consider a problem of learning kernels for use in SVM classification in the multi-task and lifelong scenarios and provide generalization bounds on the error of a large margin classifier. Our results show that, under mild conditions on…

Machine Learning · Statistics 2016-08-19 Anastasia Pentina , Shai Ben-David

Usually, complex-valued RKHS are presented as an straightforward application of the real-valued case. In this paper we prove that this procedure yields a limited solution for regression. We show that another kernel, here denoted as pseudo…

In domains like bioinformatics, information retrieval and social network analysis, one can find learning tasks where the goal consists of inferring a ranking of objects, conditioned on a particular target object. We present a general kernel…

Machine Learning · Computer Science 2013-06-11 Tapio Pahikkala , Antti Airola , Michiel Stock , Bernard De Baets , Willem Waegeman

Asymmetric data naturally exist in real life, such as directed graphs. Different from the common kernel methods requiring Mercer kernels, this paper tackles the asymmetric kernel-based learning problem. We describe a nonlinear extension of…

Machine Learning · Computer Science 2023-06-13 Qinghua Tao , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Human perception is routinely assessing the similarity between images, both for decision making and creative thinking. But the underlying cognitive process is not really well understood yet, hence difficult to be mimicked by computer vision…

Computer Vision and Pattern Recognition · Computer Science 2022-06-06 Olivier Risser-Maroix , Amine Marzouki , Hala Djeghim , Camille Kurtz , Nicolas Lomenie

In this paper, we present a kernel-based learning approach for the 2018 Complex Word Identification (CWI) Shared Task. Our approach is based on combining multiple low-level features, such as character n-grams, with high-level semantic…

Computation and Language · Computer Science 2018-05-23 Andrei M. Butnaru , Radu Tudor Ionescu

We provide theoretical investigation of curriculum learning in the context of stochastic gradient descent when optimizing the convex linear regression loss. We prove that the rate of convergence of an ideal curriculum learning method is…

Machine Learning · Computer Science 2023-12-29 Daphna Weinshall , Gad Cohen , Dan Amir

Deep learning's successes are often attributed to its ability to automatically discover new representations of the data, rather than relying on handcrafted features like other learning methods. We show, however, that deep networks learned…

Machine Learning · Computer Science 2020-12-02 Pedro Domingos

This paper presents a solution to the challenges faced by contrastive learning in sequential recommendation systems. In particular, it addresses the issue of false negative, which limits the effectiveness of recommendation algorithms. By…

Information Retrieval · Computer Science 2023-07-12 Jaeheyoung Jeon , Jung Hyun Ryu , Jewoong Cho , Myungjoo Kang

This paper presents SimCLR: a simple framework for contrastive learning of visual representations. We simplify recently proposed contrastive self-supervised learning algorithms without requiring specialized architectures or a memory bank.…

Machine Learning · Computer Science 2020-07-02 Ting Chen , Simon Kornblith , Mohammad Norouzi , Geoffrey Hinton

This paper examines the problem of learning with a finite and possibly large set of p base kernels. It presents a theoretical and empirical analysis of an approach addressing this problem based on ensembles of kernel predictors. This…

Machine Learning · Computer Science 2012-02-20 Corinna Cortes , Mehryar Mohri , Afshin Rostamizadeh

We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Zorah Lähner , Matthias Vestner , Amit Boyarski , Or Litany , Ron Slossberg , Tal Remez , Emanuele Rodolà , Alex Bronstein , Michael Bronstein , Ron Kimmel , Daniel Cremers

Kernel methods approximate nonlinear maps in a data-driven manner by projecting the target map onto a finite-dimensional Hilbert space called the solution space. Traditionally, this space is a subspace of a fixed ambient reproducing kernel…

Numerical Analysis · Mathematics 2026-01-30 Tamás Dózsa , Andrea Angino , Zoltán Szabó , József Bokor , Matthias Voigt

We introduce a novel kernel-based framework for learning differential equations and their solution maps that is efficient in data requirements, in terms of solution examples and amount of measurements from each example, and computational…

Machine Learning · Statistics 2025-04-07 Yasamin Jalalian , Juan Felipe Osorio Ramirez , Alexander Hsu , Bamdad Hosseini , Houman Owhadi

Learning a distance metric from the given training samples plays a crucial role in many machine learning tasks, and various models and optimization algorithms have been proposed in the past decade. In this paper, we generalize several…

Machine Learning · Computer Science 2013-09-24 Faqiang Wang , Wangmeng Zuo , Lei Zhang , Deyu Meng , David Zhang

This survey is an introduction to positive definite kernels and the set of methods they have inspired in the machine learning literature, namely kernel methods. We first discuss some properties of positive definite kernels as well as…

Machine Learning · Statistics 2009-12-04 Marco Cuturi

In this paper we propose a general framework to integrate supervised and unsupervised examples with background knowledge expressed by a collection of first-order logic clauses into kernel machines. In particular, we consider a multi-task…

Machine Learning · Computer Science 2024-02-06 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

Convolutional Neural Networks, as most artificial neural networks, are commonly viewed as methods different in essence from kernel-based methods. We provide a systematic translation of Convolutional Neural Networks (ConvNets) into their…

Machine Learning · Statistics 2019-03-20 Corinne Jones , Vincent Roulet , Zaid Harchaoui

Kernel means are frequently used to represent probability distributions in machine learning problems. In particular, the well known kernel density estimator and the kernel mean embedding both have the form of a kernel mean. Unfortunately,…

Machine Learning · Statistics 2015-03-03 E. Cruz Cortés , C. Scott
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