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Visual feature clustering is one of the cost-effective approaches to segment objects in videos. However, the assumptions made for developing the existing algorithms prevent them from being used in situations like segmenting an unknown…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 A. M. R. R. Bandara , L. Ranathunga , N. A. Abdullah

Many clustering algorithms exist that estimate a cluster centroid, such as K-means, K-medoids or mean-shift, but no algorithm seems to exist that clusters data by returning exactly K meaningful modes. We propose a natural definition of a…

Machine Learning · Computer Science 2013-04-25 Miguel Á. Carreira-Perpiñán , Weiran Wang

K-means clustering is a cornerstone of data mining, but its efficiency deteriorates when confronted with massive datasets. To address this limitation, we propose a novel heuristic algorithm that leverages the Variable Neighborhood Search…

Machine Learning · Computer Science 2024-10-21 Ravil Mussabayev , Rustam Mussabayev

We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Shukun Zhang , James M. Murphy

The use of distributions and high-level features from deep architecture has become commonplace in modern computer vision. Both of these methodologies have separately achieved a great deal of success in many computer vision tasks. However,…

Machine Learning · Statistics 2021-01-15 Junier B. Oliva , Danica J. Sutherland , Barnabás Póczos , Jeff Schneider

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

Machine Learning · Computer Science 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

We study the topic of dimensionality reduction for $k$-means clustering. Dimensionality reduction encompasses the union of two approaches: \emph{feature selection} and \emph{feature extraction}. A feature selection based algorithm for…

Data Structures and Algorithms · Computer Science 2015-03-19 Christos Boutsidis , Anastasios Zouzias , Michael W. Mahoney , Petros Drineas

We propose a novel method for multiple clustering that assumes a co-clustering structure (partitions in both rows and columns of the data matrix) in each view. The new method is applicable to high-dimensional data. It is based on a…

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Unsupervised classification called clustering is a process of organizing objects into groups whose members are similar in some way. Clustering of uncertain data objects is a challenge in spatial data bases. In this paper we use Probability…

Databases · Computer Science 2013-12-10 Ramachandra Rao Kurada

This paper investigates score-based diffusion models when the underlying target distribution is concentrated on or near low-dimensional manifolds within the higher-dimensional space in which they formally reside, a common characteristic of…

Machine Learning · Computer Science 2025-01-03 Gen Li , Yuling Yan

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

Machine Learning · Computer Science 2024-10-22 Andreas Lang , Erich Schubert

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

We study the task of clustering in directed networks. We show that using the eigenvalue/eigenvector decomposition of the adjacency matrix is simpler than all common methods which are based on a combination of data regularization and SVD…

Machine Learning · Computer Science 2021-02-08 Simon Coste , Ludovic Stephan

3D decomposition/segmentation still remains a challenge as large-scale 3D annotated data is not readily available. Contemporary approaches typically leverage 2D machine-generated segments, integrating them for 3D consistency. While the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Tianhao Wu , Chuanxia Zheng , Tat-Jen Cham , Qianyi Wu

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

Machine Learning · Computer Science 2022-06-13 Yiqun Zhang , Houbiao Li

Clustering large high-dimensional datasets with diverse variable is essential for extracting high-level latent information from these datasets. Here, we developed an unsupervised clustering algorithm, we call "Village-Net". Village-Net is…

We develop a new approach for clustering non-spherical (i.e., arbitrary component covariances) Gaussian mixture models via a subroutine, based on the sum-of-squares method, that finds a low-dimensional separation-preserving projection of…

Data Structures and Algorithms · Computer Science 2024-11-20 Prashanti Anderson , Mitali Bafna , Rares-Darius Buhai , Pravesh K. Kothari , David Steurer

We present clustering methods for multivariate data exploiting the underlying geometry of the graphical structure between variables. As opposed to standard approaches that assume known graph structures, we first estimate the edge structure…

Methodology · Statistics 2015-09-28 Sayantan Banerjee , Rehan Akbani , Veerabhadran Baladandayuthapani