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Spectral clustering information


An example connected graph, with 6 vertices.
Partitioning into two connected graphs

In multivariate statistics, spectral clustering techniques make use of the spectrum (eigenvalues) of the similarity matrix of the data to perform dimensionality reduction before clustering in fewer dimensions. The similarity matrix is provided as an input and consists of a quantitative assessment of the relative similarity of each pair of points in the dataset.

In application to image segmentation, spectral clustering is known as segmentation-based object categorization.

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Spectral clustering

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and j {\displaystyle j} . The general approach to spectral clustering is to use a standard clustering method (there are many such methods, k-means is discussed...

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DBSCAN

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Density-based spatial clustering of applications with noise (DBSCAN) is a data clustering algorithm proposed by Martin Ester, Hans-Peter Kriegel, Jörg...

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Graph partition

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example is spectral partitioning, where a partition is derived from approximate eigenvectors of the adjacency matrix, or spectral clustering that groups...

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Cluster analysis

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clustering Community detection Data stream clustering HCS clustering Sequence clustering Spectral clustering Artificial neural network (ANN) Nearest neighbor...

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Stochastic block model

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stochastic block partition is one of the challenges since 2017. Spectral clustering has demonstrated outstanding performance compared to the original...

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Eigengap

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change under perturbation. In spectral clustering, the eigengap is often referred to as the spectral gap; although the spectral gap may often be defined in...

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Spectral graph theory

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regular graph Algebraic connectivity Algebraic graph theory Spectral clustering Spectral shape analysis Estrada index Lovász theta Expander graph Collatz...

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Kernel method

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analysis (PCA), canonical correlation analysis, ridge regression, spectral clustering, linear adaptive filters and many others. Most kernel algorithms...

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Diffusion map

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Applications based on diffusion maps include face recognition, spectral clustering, low dimensional representation of images, image segmentation, 3D...

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Laplacian matrix

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by definition generally non-symmetric, while, e.g., traditional spectral clustering is primarily developed for undirected graphs with symmetric adjacency...

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Similarity measure

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Euclidean distance, which is used in many clustering techniques including K-means clustering and Hierarchical clustering. The Euclidean distance is a measure...

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List of statistics articles

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Statistical model specification Specificity (tests) Spectral clustering – (cluster analysis) Spectral density Spectral density estimation Spectrum bias Spectrum...

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Minimum cut

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case of normalized min-cut spectral clustering applied to image segmentation. It can also be used as a generic clustering method, where the nodes are...

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Consensus clustering

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Consensus clustering is a method of aggregating (potentially conflicting) results from multiple clustering algorithms. Also called cluster ensembles or...

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Eigenvalues and eigenvectors

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used to partition the graph into clusters, via spectral clustering. Other methods are also available for clustering. A Markov chain is represented by...

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Isomap

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that the generalization property naturally emerges . Kernel PCA Spectral clustering Nonlinear dimensionality reduction Tenenbaum, Joshua B.; Silva, Vin...

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LOBPCG

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segmentation via spectral clustering performs a low-dimension embedding using an affinity matrix between pixels, followed by clustering of the components...

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Community structure

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insight can be useful in improving some algorithms on graphs such as spectral clustering. Importantly, communities often have very different properties than...

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Kernel principal component analysis

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novelty detection and image de-noising. Cluster analysis Nonlinear dimensionality reduction Spectral clustering Schölkopf, Bernhard; Smola, Alex; Müller...

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Event camera

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(2021). "Moving Object Detection for Event-based Vision using Graph Spectral Clustering". 2021 IEEE/CVF International Conference on Computer Vision Workshops...

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Multispectral imaging

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(typically 3 to 15) of spectral bands. Hyperspectral imaging is a special case of spectral imaging where often hundreds of contiguous spectral bands are available...

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Medoid

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standard k-medoids algorithm Hierarchical Clustering Around Medoids (HACAM), which uses medoids in hierarchical clustering From the definition above, it is clear...

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Outline of machine learning

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Hierarchical clustering Single-linkage clustering Conceptual clustering Cluster analysis BIRCH DBSCAN Expectation-maximization (EM) Fuzzy clustering Hierarchical...

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Stellar classification

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stellar classification is the classification of stars based on their spectral characteristics. Electromagnetic radiation from the star is analyzed by...

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Ulrike von Luxburg

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(born 1975) is a German computer scientist known for her work on spectral clustering and graph Laplacians in machine learning. She is a professor of computer...

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