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Online learning with multiple kernels has gained increasing interests in recent years and found many applications. For classification tasks, Online Multiple Kernel Classification (OMKC), which learns a kernel based classifier by seeking the…

Machine Learning · Computer Science 2015-11-19 Jing Lu , Steven C. H. Hoi , Doyen Sahoo , Peilin Zhao

In the context of deep learning with kernel machines, the deep Restricted Kernel Machine (DRKM) framework allows multiple levels of kernel PCA (KPCA) and Least-Squares Support Vector Machines (LSSVM) to be combined into a deep architecture…

Machine Learning · Computer Science 2023-08-30 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

As the size and richness of available datasets grow larger, the opportunities for solving increasingly challenging problems with algorithms learning directly from data grow at the same pace. Consequently, the capability of learning…

Machine Learning · Computer Science 2019-12-13 Raffaello Camoriano

Quantum machine learning (QML) is the spearhead of quantum computer applications. In particular, quantum neural networks (QNN) are actively studied as the method that works both in near-term quantum computers and fault-tolerant quantum…

Quantum Physics · Physics 2022-09-07 Kouhei Nakaji , Hiroyuki Tezuka , Naoki Yamamoto

Recent research on remote sensing object detection has largely focused on improving the representation of oriented bounding boxes but has overlooked the unique prior knowledge presented in remote sensing scenarios. Such prior knowledge can…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Yuxuan Li , Qibin Hou , Zhaohui Zheng , Ming-Ming Cheng , Jian Yang , Xiang Li

Accurate molecular property prediction is a critical challenge with wide-ranging applications in chemistry, materials science, and drug discovery. Molecular representation methods, including fingerprints and graph neural networks (GNNs),…

Machine Learning · Computer Science 2025-08-13 Jiaxin Ju , Yizhen Zheng , Huan Yee Koh , Can Wang , Shirui Pan

We present a general regularization-based framework for Multi-task learning (MTL), in which the similarity between tasks can be learned or refined using $\ell_p$-norm Multiple Kernel learning (MKL). Based on this very general formulation…

Machine Learning · Statistics 2015-07-01 Christian Widmer , Marius Kloft , Vipin T Sreedharan , Gunnar Rätsch

Kernel-based methods enjoy powerful generalization capabilities in handling a variety of learning tasks. When such methods are provided with sufficient training data, broadly-applicable classes of nonlinear functions can be approximated…

Machine Learning · Statistics 2017-12-29 Fatemeh Sheikholeslami , Dimitris Berberidis , Georgios B. Giannakis

The problem of multiple kernel learning based on penalized empirical risk minimization is discussed. The complexity penalty is determined jointly by the empirical $L_2$ norms and the reproducing kernel Hilbert space (RKHS) norms induced by…

Statistics Theory · Mathematics 2012-11-14 Vladimir Koltchinskii , Ming Yuan

Kernel logistic regression (KLR) is a widely used supervised learning method for binary and multi-class classification, which provides estimates of the conditional probabilities of class membership for the data points. Unlike other kernel…

Machine Learning · Computer Science 2025-12-23 Antonio Consolo , Andrea Manno , Edoardo Amaldi

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

We consider the two-group classification problem and propose a kernel classifier based on the optimal scoring framework. Unlike previous approaches, we provide theoretical guarantees on the expected risk consistency of the method. We also…

Machine Learning · Statistics 2021-04-01 Alexander F. Lapanowski , Irina Gaynanova

A multilevel kernel-based interpolation method, suitable for moderately high-dimensional function interpolation problems, is proposed. The method, termed multilevel sparse kernel-based interpolation (MLSKI, for short), uses both level-wise…

Numerical Analysis · Mathematics 2012-04-19 Emmanuil H. Georgoulis , Jeremy Levesley , Fazli Subhan

Quantum kernel methods have emerged as a promising approach for leveraging high-dimensional feature spaces in machine learning, particularly in domains where classical kernel methods face scalability limitations. In this work, we present…

Quantum Physics · Physics 2026-05-19 A. Delilbasic , A. Miroszewski , A. Wijata , J. Nalepa , J. Mielczarek , M. Riedel , G. Cavallaro

Machine learning (ML) entered the field of computational micromagnetics only recently. The main objective of these new approaches is the automatization of solutions of parameter-dependent problems in micromagnetism such as fast response…

Computational Physics · Physics 2021-07-15 Sebastian Schaffer , Norbert J. Mauser , Thomas Schrefl , Dieter Suess , Lukas Exl

The paper studies face spoofing, a.k.a. presentation attack detection (PAD) in the demanding scenarios of unknown types of attack. While earlier studies have revealed the benefits of ensemble methods, and in particular, a multiple kernel…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Shervin Rahimzadeh Arashloo

Non-negative Matrix Factorization(NMF) algorithm can only be used to find low rank approximation of original non-negative data while Concept Factorization(CF) algorithm extends matrix factorization to single non-linear kernel space,…

Machine Learning · Computer Science 2024-10-29 Fei Li , Liang Du , Chaohong Ren

In this paper, we present a new adaptive feature scaling scheme for ultrahigh-dimensional feature selection on Big Data. To solve this problem effectively, we first reformulate it as a convex semi-infinite programming (SIP) problem and then…

Machine Learning · Computer Science 2019-12-17 Mingkui Tan , Ivor W. Tsang , Li Wang

Multi-label classification (MLC) studies the problem where each instance is associated with multiple relevant labels, which leads to the exponential growth of output space. MLC encourages a popular framework named label compression (LC) for…

Machine Learning · Computer Science 2020-09-21 Jiaqi Lv , Tianran Wu , Chenglun Peng , Yunpeng Liu , Ning Xu , Xin Geng

Conventional vision algorithms adopt a single type of feature or a simple concatenation of multiple features, which is always represented in a high-dimensional space. In this paper, we propose a novel unsupervised spectral embedding…

Computer Vision and Pattern Recognition · Computer Science 2015-08-05 Mengyang Yu , Li Liu , Ling Shao
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