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Restricted kernel machines (RKMs) have demonstrated a significant impact in enhancing generalization ability in the field of machine learning. Recent studies have introduced various methods within the RKM framework, combining kernel…

Machine Learning · Computer Science 2025-02-18 A. Quadir , M. Sajid , M. Tanveer

One-class classification (OCC) is a longstanding method for anomaly detection. With the powerful representation capability of the pre-trained backbone, OCC methods have witnessed significant performance improvements. Typically, most of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Han Gao , Huiyuan Luo , Fei Shen , Zhengtao Zhang

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

Metric learning for classification has been intensively studied over the last decade. The idea is to learn a metric space induced from a normed vector space on which data from different classes are well separated. Different measures of the…

Machine Learning · Computer Science 2019-10-22 Yinan Yu , Tomas McKelvey

This paper presents an online learning with regularized kernel based one-class extreme learning machine (ELM) classifier and is referred as online RK-OC-ELM. The baseline kernel hyperplane model considers whole data in a single chunk with…

Machine Learning · Computer Science 2018-04-10 Chandan Gautam , Aruna Tiwari , Sundaram Suresh , Kapil Ahuja

One-class classification (OCC) algorithms aim to build classification models when the negative class is either absent, poorly sampled or not well defined. This unique situation constrains the learning of efficient classifiers by defining…

Machine Learning · Computer Science 2018-02-05 Shehroz S. Khan , Michael G. Madden

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

Multiple kernel methods less consider the intrinsic manifold structure of multiple kernel data and estimate the consensus kernel matrix with quadratic number of variables, which makes it vulnerable to the noise and outliers within multiple…

Machine Learning · Computer Science 2024-10-22 Liang Du , Xin Ren , Haiying Zhang , Peng Zhou

Kernel ridge regression (KRR) is widely used for nonparametric regression over reproducing kernel Hilbert spaces. It offers powerful modeling capabilities at the cost of significant computational costs, which typically require $O(n^3)$…

Methodology · Statistics 2024-03-18 Xiaowu Dai , Huiying Zhong

We provide the first mathematically complete derivation of the Nystr\"om method for low-rank approximation of indefinite kernels and propose an efficient method for finding an approximate eigendecomposition of such kernel matrices. Building…

Machine Learning · Statistics 2019-06-03 Dino Oglic , Thomas Gärtner

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

We propose a novel class of kernels to alleviate the high computational cost of large-scale nonparametric learning with kernel methods. The proposed kernel is defined based on a hierarchical partitioning of the underlying data domain, where…

Machine Learning · Computer Science 2017-08-15 Jie Chen , Haim Avron , Vikas Sindhwani

Positive definite operator-valued kernels generalize the well-known notion of reproducing kernels, and are naturally adapted to multi-output learning situations. This paper addresses the problem of learning a finite linear combination of…

Machine Learning · Statistics 2012-06-15 Hachem Kadri , Alain Rakotomamonjy , Francis Bach , Philippe Preux

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

One-Class Classification (OCC) has been prime concern for researchers and effectively employed in various disciplines. But, traditional methods based one-class classifiers are very time consuming due to its iterative process and various…

Machine Learning · Computer Science 2017-02-16 Chandan Gautam , Aruna Tiwari , Qian Leng

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

This paper presents a general vector-valued reproducing kernel Hilbert spaces (RKHS) framework for the problem of learning an unknown functional dependency between a structured input space and a structured output space. Our formulation…

Machine Learning · Statistics 2016-08-23 Ha Quang Minh , Loris Bazzani , Vittorio Murino

Although few-shot learning and one-class classification (OCC), i.e., learning a binary classifier with data from only one class, have been separately well studied, their intersection remains rather unexplored. Our work addresses the…

Machine Learning · Computer Science 2021-02-12 Ahmed Frikha , Denis Krompaß , Hans-Georg Köpken , Volker Tresp

Restricted kernel machines (RKMs) represent a versatile and powerful framework within the kernel machine family, leveraging conjugate feature duality to address a wide range of machine learning tasks, including classification, regression,…

Machine Learning · Computer Science 2025-04-17 Ritik Mishra , Mushir Akhtar , M. Tanveer

Combining information from various image features has become a standard technique in concept recognition tasks. However, the optimal way of fusing the resulting kernel functions is usually unknown in practical applications. Multiple kernel…

Computer Vision and Pattern Recognition · Computer Science 2012-11-26 Alexander Binder , Shinichi Nakajima , Marius Kloft , Christina Müller , Wojciech Samek , Ulf Brefeld , Klaus-Robert Müller , Motoaki Kawanabe