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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…

机器学习 · 计算机科学 2024-10-22 Liang Du , Xin Ren , Haiying Zhang , Peng Zhou

This paper introduces a new kernel-based classifier by viewing kernel matrices as generalized graphs and leveraging recent progress in graph embedding techniques. The proposed method facilitates fast and scalable kernel matrix embedding,…

机器学习 · 计算机科学 2024-11-12 Cencheng Shen

Multiple kernel learning (MKL) aims to find an optimal, consistent kernel function. In the hierarchical multiple kernel clustering (HMKC) algorithm, sample features are extracted layer by layer from a high-dimensional space to maximize the…

机器学习 · 计算机科学 2024-10-29 Lei Wang , Liang Du , Peng Zhou

In this thesis, we propose several modelling strategies to tackle evolving data in different contexts. In the framework of static clustering, we start by introducing a soft kernel spectral clustering (SKSC) algorithm, which can better deal…

社会与信息网络 · 计算机科学 2014-11-24 Rocco Langone

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

计算机视觉与模式识别 · 计算机科学 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

This paper considers clustered multi-task compressive sensing, a hierarchical model that solves multiple compressive sensing tasks by finding clusters of tasks that leverage shared information to mutually improve signal reconstruction. The…

信号处理 · 电气工程与系统科学 2023-10-03 Alexander Lin , Demba Ba

Bilateral filtering (BF) is one of the most classical denoising filters, however, the manually initialized filtering kernel hampers its adaptivity across images with various characteristics. To deal with image variation (i.e.,…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Feihong Liu , Jun Feng , Pew-Thian Yap , Dinggang Shen

Recently ensemble selection for consensus clustering has emerged as a research problem in Machine Intelligence. Normally consensus clustering algorithms take into account the entire ensemble of clustering, where there is a tendency of…

机器学习 · 计算机科学 2015-08-19 Shouvick Mondal , Arko Banerjee

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

Kernel methods play an important role in machine learning applications due to their conceptual simplicity and superior performance on numerous machine learning tasks. Expressivity of a machine learning model, referring to the ability of the…

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…

计算机视觉与模式识别 · 计算机科学 2012-11-26 Alexander Binder , Shinichi Nakajima , Marius Kloft , Christina Müller , Wojciech Samek , Ulf Brefeld , Klaus-Robert Müller , Motoaki Kawanabe

Kernel-based K-means clustering has gained popularity due to its simplicity and the power of its implicit non-linear representation of the data. A dominant concern is the memory requirement since memory scales as the square of the number of…

机器学习 · 统计学 2016-12-05 Farhad Pourkamali-Anaraki , Stephen Becker

The fast computation of large kernel sums is a challenging task, which arises as a subproblem in any kernel method. We approach the problem by slicing, which relies on random projections to one-dimensional subspaces and fast Fourier…

数值分析 · 数学 2025-02-25 Johannes Hertrich , Tim Jahn , Michael Quellmalz

Recent multi-view subspace clustering achieves impressive results utilizing deep networks, where the self-expressive correlation is typically modeled by a fully connected (FC) layer. However, they still suffer from two limitations. i) The…

计算机视觉与模式识别 · 计算机科学 2023-12-05 Yuxiu Lin , Hui Liu , Ren Wang , Qiang Guo , Caiming Zhang

Kernel fusion is a popular and effective approach for combining multiple features that characterize different aspects of data. Traditional approaches for Multiple Kernel Learning (MKL) attempt to learn the parameters for combining the…

We design new parallel algorithms for clustering in high-dimensional Euclidean spaces. These algorithms run in the Massively Parallel Computation (MPC) model, and are fully scalable, meaning that the local memory in each machine may be…

数据结构与算法 · 计算机科学 2024-07-09 Artur Czumaj , Guichen Gao , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Kernel methods are a highly effective and widely used collection of modern machine learning algorithms. A fundamental limitation of virtually all such methods are computations involving the kernel matrix that naively scale quadratically…

机器学习 · 计算机科学 2021-06-09 John Paul Ryan , Sebastian Ament , Carla P. Gomes , Anil Damle

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

机器学习 · 统计学 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

Kernel methods provide a principled way to perform non linear, nonparametric learning. They rely on solid functional analytic foundations and enjoy optimal statistical properties. However, at least in their basic form, they have limited…

机器学习 · 统计学 2018-02-01 Alessandro Rudi , Luigi Carratino , Lorenzo Rosasco