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To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

Machine Learning · Computer Science 2018-11-02 Yaqiang Yao , Huanhuan Chen

In this chapter we review the main literature related to kernel spectral clustering (KSC), an approach to clustering cast within a kernel-based optimization setting. KSC represents a least-squares support vector machine based formulation of…

Machine Learning · Computer Science 2015-05-05 Rocco Langone , Raghvendra Mall , Carlos Alzate , Johan A. K. Suykens

Kernel methods are extensively employed for nonlinear data clustering, yet their effectiveness heavily relies on selecting suitable kernels and associated parameters, posing challenges in advance determination. In response, Multiple Kernel…

Machine Learning · Computer Science 2024-05-28 Yan Chen , Liang Du , Lei Duan

Label noise in multi-label learning (MLL) poses significant challenges for model training, particularly in partial multi-label learning (PML) where candidate labels contain both relevant and irrelevant labels. While clustering offers a…

Machine Learning · Computer Science 2026-04-13 Yu Chen , Weijun Lv , Yue Huang , Xuhuan Zhu , Fang Li

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

Statistics Theory · Mathematics 2023-11-07 Yuchen Zhou , Yuxin Chen

Multiple clustering aims at discovering diverse ways of organizing data into clusters. Despite the progress made, it's still a challenge for users to analyze and understand the distinctive structure of each output clustering. To ease this…

Machine Learning · Computer Science 2019-07-29 Xing Wang , Jun Wang , Carlotta Domeniconi , Guoxian Yu , Guoqiang Xiao , Maozu Guo

Multi-view clustering (MVC) aims to integrate complementary information from multiple views to enhance clustering performance. Late Fusion Multi-View Clustering (LFMVC) has shown promise by synthesizing diverse clustering results into a…

Machine Learning · Computer Science 2024-12-25 Liang Du , Henghui Jiang , Xiaodong Li , Yiqing Guo , Yan Chen , Feijiang Li , Peng Zhou , Yuhua Qian

Multi-view clustering (MVC), which aims to separate the multi-view data into distinct clusters in an unsupervised manner, is a fundamental yet challenging task. To enhance its applicability in real-world scenarios, this paper addresses a…

Machine Learning · Computer Science 2025-11-18 Shihao Dong , Yue Liu , Xiaotong Zhou , Yuhui Zheng , Huiying Xu , Xinzhong Zhu

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

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.,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Feihong Liu , Jun Feng , Pew-Thian Yap , Dinggang Shen

Multi-view clustering (MVC) aims at exploring category structures among multi-view data in self-supervised manners. Multiple views provide more information than single views and thus existing MVC methods can achieve satisfactory…

Machine Learning · Computer Science 2024-03-26 Jie Xu , Yazhou Ren , Xiaolong Wang , Lei Feng , Zheng Zhang , Gang Niu , Xiaofeng Zhu

We propose a simple yet effective multiple kernel clustering algorithm, termed simple multiple kernel k-means (SimpleMKKM). It extends the widely used supervised kernel alignment criterion to multi-kernel clustering. Our criterion is given…

Machine Learning · Computer Science 2020-05-13 Xinwang Liu , En Zhu , Jiyuan Liu , Timothy Hospedales , Yang Wang , Meng Wang

Multiple kernel clustering (MKC) is committed to achieving optimal information fusion from a set of base kernels. Constructing precise and local kernel matrices is proved to be of vital significance in applications since the unreliable…

Machine Learning · Computer Science 2022-07-08 Liang Li , Siwei Wang , Xinwang Liu , En Zhu , Li Shen , Kenli Li , Keqin Li

Kernel-based clustering algorithm can identify and capture the non-linear structure in datasets, and thereby it can achieve better performance than linear clustering. However, computing and storing the entire kernel matrix occupy so large…

Machine Learning · Computer Science 2020-02-10 Li Chen , Shuisheng Zhou , Jiajun Ma

In low light or short-exposure photography the image is often corrupted by noise. While longer exposure helps reduce the noise, it can produce blurry results due to the object and camera motion. The reconstruction of a noise-less image is…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Talmaj Marinč , Vignesh Srinivasan , Serhan Gül , Cornelius Hellge , Wojciech Samek

Many measurement modalities which perform imaging by probing an object pixel-by-pixel, such as via Photoacoustic Microscopy, produce a multi-dimensional feature (typically a time-domain signal) at each pixel. In principle, the many degrees…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Nicholas Pellegrino , Paul Fieguth , Parsin Haji Reza

Deep clustering is the first method to handle general audio separation scenarios with multiple sources of the same type and an arbitrary number of sources, performing impressively in speaker-independent speech separation tasks. However,…

Machine Learning · Statistics 2017-11-30 Yi Luo , Zhuo Chen , John R. Hershey , Jonathan Le Roux , Nima Mesgarani

The main objective of the Multiple Kernel k-Means (MKKM) algorithm is to extract non-linear information and achieve optimal clustering by optimizing base kernel matrices. Current methods enhance information diversity and reduce redundancy…

Machine Learning · Computer Science 2024-03-07 Rina Su , Yu Guo , Caiying Wu , Qiyu Jin , Tieyong Zeng

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…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

Many similarity-based clustering methods work in two separate steps including similarity matrix computation and subsequent spectral clustering. However, similarity measurement is challenging because it is usually impacted by many factors,…

Machine Learning · Computer Science 2017-05-04 Zhao Kang , Chong Peng , Qiang Cheng
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