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Clustering genotypes based upon their phenotypic characteristics is used to obtain diverse sets of parents that are useful in their breeding programs. The Hierarchical Clustering (HC) algorithm is the current standard in clustering of…

机器学习 · 计算机科学 2020-09-22 Aditya A. Shastri , Kapil Ahuja , Milind B. Ratnaparkhe , Yann Busnel

We develop a Vector Quantized Spectral Clustering (VQSC) algorithm that is a combination of Spectral Clustering (SC) and Vector Quantization (VQ) sampling for grouping Soybean genomes. The inspiration here is to use SC for its accuracy and…

定量方法 · 定量生物学 2018-10-02 Aditya A. Shastri , Kapil Ahuja , Milind B. Ratnaparkhe , Aditya Shah , Aishwary Gagrani , Anant Lal

Spectral Clustering(SC) is a prominent data clustering technique of recent times which has attracted much attention from researchers. It is a highly data-driven method and makes no strict assumptions on the structure of the data to be…

机器学习 · 计算机科学 2019-09-18 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

Clustering is a difficult and widely-studied data mining task, with many varieties of clustering algorithms proposed in the literature. Nearly all algorithms use a similarity measure such as a distance metric (e.g. Euclidean distance) to…

神经与进化计算 · 计算机科学 2019-10-24 Andrew Lensen , Bing Xue , Mengjie Zhang

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. (2012) and Amini et al.(2012) proposed inspired variations on the algorithm that artificially inflate the node degrees for…

机器学习 · 统计学 2013-09-18 Tai Qin , Karl Rohe

Spectral clustering is a powerful method for finding structure in a dataset through the eigenvectors of a similarity matrix. It often outperforms traditional clustering algorithms such as $k$-means when the structure of the individual…

数值分析 · 数学 2019-04-26 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

统计理论 · 数学 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

Recent works on Hierarchical Clustering (HC), a well-studied problem in exploratory data analysis, have focused on optimizing various objective functions for this problem under arbitrary similarity measures. In this paper we take the first…

数据结构与算法 · 计算机科学 2018-12-31 Moses Charikar , Vaggos Chatziafratis , Rad Niazadeh , Grigory Yaroslavtsev

Based on a Gaussian mixture type model , we derive an eigen selection procedure that improves the usual spectral clustering in high-dimensional settings. Concretely, we derive the asymptotic expansion of the spiked eigenvalues under…

统计理论 · 数学 2020-06-09 Xiao Han , Xin Tong , Yingying Fan

Given the widespread popularity of spectral clustering (SC) for partitioning graph data, we study a version of constrained SC in which we try to incorporate the fairness notion proposed by Chierichetti et al. (2017). According to this…

机器学习 · 统计学 2019-05-14 Matthäus Kleindessner , Samira Samadi , Pranjal Awasthi , Jamie Morgenstern

In order to apply the recent successes of machine learning and automated plant phenotyping on a large scale using agricultural robotics, efficient and general algorithms must be designed to intelligently split crop fields into small, yet…

计算机视觉与模式识别 · 计算机科学 2022-02-02 Henry J. Nelson , Nikolaos Papanikolopoulos

We study the problem of applying spectral clustering to cluster multi-scale data, which is data whose clusters are of various sizes and densities. Traditional spectral clustering techniques discover clusters by processing a similarity…

机器学习 · 计算机科学 2020-06-09 Xiang Li , Ben Kao , Caihua Shan , Dawei Yin , Martin Ester

There are synergies of research interests and industrial efforts in modeling fairness and correcting algorithmic bias in machine learning. In this paper, we present a scalable algorithm for spectral clustering (SC) with group fairness…

机器学习 · 计算机科学 2023-04-18 Ji Wang , Ding Lu , Ian Davidson , Zhaojun Bai

We propose a Classification Via Clustering (CVC) algorithm which enables existing clustering methods to be efficiently employed in classification problems. In CVC, training and test data are co-clustered and class-cluster distributions are…

计算机视觉与模式识别 · 计算机科学 2014-09-29 Arif Mahmood , Ajmal S. Mian

Spectral clustering views the similarity matrix as a weighted graph, and partitions the data by minimizing a graph-cut loss. Since it minimizes the across-cluster similarity, there is no need to model the distribution within each cluster.…

统计方法学 · 统计学 2023-04-14 Leo L. Duan , Arkaprava Roy

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

统计方法学 · 统计学 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

Spectral clustering is a popular clustering method. It first maps data into the spectral embedding space and then uses Kmeans to find clusters. However, the two decoupled steps prohibit joint optimization for the optimal solution. In…

机器学习 · 计算机科学 2024-12-17 Wengang Guo , Wei Ye

We propose an efficient approach to semidefinite spectral clustering (SSC), which addresses the Frobenius normalization with the positive semidefinite (p.s.d.) constraint for spectral clustering. Compared with the original Frobenius norm…

机器学习 · 计算机科学 2014-02-25 Yan Yan , Chunhua Shen , Hanzi Wang

Spectral clustering (SC) is one of the most popular clustering methods and often outperforms traditional clustering methods. SC uses the eigenvectors of a Laplacian matrix calculated from a similarity matrix of a dataset. SC has serious…

机器学习 · 计算机科学 2021-08-27 Kazuhisa Fujita
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