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A traditional and intuitively appealing Multi-Task Multiple Kernel Learning (MT-MKL) method is to optimize the sum (thus, the average) of objective functions with (partially) shared kernel function, which allows information sharing amongst…

Machine Learning · Computer Science 2014-04-14 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Recent research on multiple kernel learning has lead to a number of approaches for combining kernels in regularized risk minimization. The proposed approaches include different formulations of objectives and varying regularization…

Machine Learning · Statistics 2010-05-05 Marius Kloft , Ulrich Rückert , Peter L. Bartlett

Face Recognition (FR) has been the interest to several researchers over the past few decades due to its passive nature of biometric authentication. Despite high accuracy achieved by face recognition algorithms under controlled conditions,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-05 Samik Banerjee , Sukhendu Das

The paper addresses the multiple kernel learning (MKL) problem for one-class classification (OCC). For this purpose, based on the Fisher null-space one-class classification principle, we present a multiple kernel learning algorithm where a…

Machine Learning · Computer Science 2021-09-28 Shervin Rahimzadeh Arashloo

Modern kernel-based two-sample tests have shown great success in distinguishing complex, high-dimensional distributions with appropriate learned kernels. Previous work has demonstrated that this kernel learning procedure succeeds, assuming…

Machine Learning · Statistics 2022-01-06 Feng Liu , Wenkai Xu , Jie Lu , Danica J. Sutherland

The performance of reproducing kernel Hilbert space-based methods is known to be sensitive to the choice of the reproducing kernel. Choosing an adequate reproducing kernel can be challenging and computationally demanding, especially in…

Machine Learning · Computer Science 2023-11-07 Emilio Ruiz-Moreno , Baltasar Beferull-Lozano

Deep kernel learning provides an elegant and principled framework for combining the structural properties of deep learning algorithms with the flexibility of kernel methods. By means of a deep neural network, we learn a parametrized kernel…

Machine Learning · Computer Science 2020-12-14 Prudencio Tossou , Basile Dura , Francois Laviolette , Mario Marchand , Alexandre Lacoste

In the last few decades, significant achievements have been attained in predicting where humans look at images through different computational models. However, how to determine contributions of different visual features to overall saliency…

Computer Vision and Pattern Recognition · Computer Science 2013-07-23 Yasin Kavak , Erkut Erdem , Aykut Erdem

The paradigm of multi-task learning is that one can achieve better generalization by learning tasks jointly and thus exploiting the similarity between the tasks rather than learning them independently of each other. While previously the…

Machine Learning · Statistics 2015-11-19 Pratik Jawanpuria , Maksim Lapin , Matthias Hein , Bernt Schiele

Binary Classification plays an important role in machine learning. For linear classification, SVM is the optimal binary classification method. For nonlinear classification, the SVM algorithm needs to complete the classification task by…

Machine Learning · Computer Science 2024-06-21 Pengbo Yang , Jian Yu

This paper presents a general framework to integrate prior knowledge in the form of logic constraints among a set of task functions into kernel machines. The logic propositions provide a partial representation of the environment, in which…

Machine Learning · Computer Science 2024-02-19 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

The functional characterization of different neuronal types has been a longstanding and crucial challenge. With the advent of physical quantum computers, it has become possible to apply quantum machine learning algorithms to translate…

Quantum Physics · Physics 2025-02-11 Xavier Vasques , Hanhee Paik , Laura Cif

The accuracy and complexity of machine learning algorithms based on kernel optimization are limited by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

Machine Learning · Computer Science 2020-06-16 Brendon K. Colbert , Matthew M. Peet

Classification is a fundamental task in machine learning. While conventional methods-such as binary, multiclass, and multi-label classification-are effective for simpler problems, they may not adequately address the complexities of some…

Multi-kernel learning has been well explored in the recent past and has exhibited promising outcomes for multi-class classification and regression tasks. In this paper, we present a multiple kernel learning approach for the One-class…

Machine Learning · Computer Science 2018-07-18 Chandan Gautam , Ramesh Balaji , K Sudharsan , Aruna Tiwari , Kapil Ahuja

Anomaly detection based on one-class classification algorithms is broadly used in many applied domains like image processing (e.g. detection of whether a patient is "cancerous" or "healthy" from mammography image), network intrusion…

Machine Learning · Statistics 2017-07-14 Evgeny Burnaev , Pavel Erofeev , Dmitry Smolyakov

Many binary classification problems minimize misclassification above (or below) a threshold. We show that instances of ranking problems, accuracy at the top or hypothesis testing may be written in this form. We propose a general framework…

Machine Learning · Computer Science 2020-02-26 Lukáš Adam , Václav Mácha , Václav Šmídl , Tomáš Pevný

Kernel methods play a critical role in many machine learning algorithms. They are useful in manifold learning, classification, clustering and other data analysis tasks. Setting the kernel's scale parameter, also referred to as the kernel's…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Moshe Salhov , Arie Yeredor , Amir Averbuch

We review machine learning methods employing positive definite kernels. These methods formulate learning and estimation problems in a reproducing kernel Hilbert space (RKHS) of functions defined on the data domain, expanded in terms of a…

Statistics Theory · Mathematics 2009-09-29 Thomas Hofmann , Bernhard Schölkopf , Alexander J. Smola

In this paper, we propose a multi-kernel classifier learning algorithm to optimize a given nonlinear and nonsmoonth multivariate classifier performance measure. Moreover, to solve the problem of kernel function selection and kernel…

Machine Learning · Computer Science 2015-08-26 Jingbin Wang , Haoxiang Wang , Yihua Zhou , Nancy McDonald