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This work studies the theoretical rules of feature selection in linear discriminant analysis (LDA), and a new feature selection method is proposed for sparse linear discriminant analysis. An $l_1$ minimization method is used to select the…

Methodology · Statistics 2013-04-23 Cheng Wang , Longbing Cao , Baiqi Miao

In this work we present a clustering technique called \textit{multi-level conformal clustering (MLCC)}. The technique is hierarchical in nature because it can be performed at multiple significance levels which yields greater insight into…

Machine Learning · Statistics 2020-06-25 Ilia Nouretdinov , James Gammerman , Matteo Fontana , Daljit Rehal

Nonlinear subspace clustering based on a feed-forward neural network has been demonstrated to provide better clustering accuracy than some advanced subspace clustering algorithms. While this approach demonstrates impressive outcomes, it…

Machine Learning · Computer Science 2024-08-28 Long Shi , Lei Cao , Zhongpu Chen , Badong Chen , Yu Zhao

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

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

Several methods of triclustering of three dimensional data require the specification of the cluster size in each dimension. This introduces a certain degree of arbitrariness. To address this issue, we propose a new method, namely the…

Machine Learning · Computer Science 2021-09-23 Dina Faneva Andriantsiory , Joseph Ben Geloun , Mustapha Lebbah

We consider the problem of accurately and efficiently querying a remote server to retrieve information about images captured by a mobile device. In addition to reduced transmission overhead and computational complexity, the retrieval…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Jacob Chakareski , Immanuel Manohar , Shantanu Rane

Similarity-based clustering methods separate data into clusters according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper, we propose {\em Clustering by Discriminative…

Machine Learning · Computer Science 2022-06-24 Yingzhen Yang , Ping Li

We propose a novel method to cluster gene networks. Based on a dissimilarity built using correlation structures, we consider networks that connect all the genes based on the strength of their dissimilarity. The large number of genes require…

Statistics Theory · Mathematics 2016-07-07 A-C Brunet , J-M Azais , J-M Loubes , J Amar , R Burcelin

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

Neural and Evolutionary Computing · Computer Science 2007-10-16 Leonardo Emmendorfer , Aurora Pozo

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

Social and Information Networks · Computer Science 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni

Time series clustering is the process of grouping time series with respect to their similarity or characteristics. Previous approaches usually combine a specific distance measure for time series and a standard clustering method. However,…

There are hundreds of methods for analysis of data obtained in mRNA-sequencing. The most of them are focused on small number of genes. In this study, we propose an approach that reduces the analysis of several thousand genes to analysis of…

Computation and Language · Computer Science 2023-08-28 Vladislav Dordiuk , Ekaterina Demicheva , Fernando Polanco Espino , Konstantin Ushenin

The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

Machine Learning · Statistics 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif

We propose a new segmentation model combining common regularization energies, e.g. Markov Random Field (MRF) potentials, and standard pairwise clustering criteria like Normalized Cut (NC), average association (AA), etc. These clustering and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Meng Tang , Dmitrii Marin , Ismail Ben Ayed , Yuri Boykov

Autoencoders have been widely used as a nonlinear tool for data dimensionality reduction. While autoencoders don't utilize the label information, Centroid-Encoders (CE)\cite{ghosh2022supervised} use the class label in their learning…

Machine Learning · Computer Science 2022-06-30 Tomojit Ghosh , Michael Kirby

We propose a new procedure for clustering nucleotide sequences based on the "Laplacian Eigenmaps" and Gaussian Mixture modelling. This proposal is then applied to a set of 100 DNA sequences from the mitochondrially encoded NADH…

Quantitative Methods · Quantitative Biology 2016-10-27 Marine Bruneau , Thierry Mottet , Serge Moulin , Maël Kerbiriou , Franz Chouly , Stéphane Chretien , Christophe Guyeux

Graph clustering is an important unsupervised learning technique for partitioning graphs with attributes and detecting communities. However, current methods struggle to accurately capture true community structures and intra-cluster…

Machine Learning · Computer Science 2024-11-19 Samarth Bhatia , Yukti Makhija , Manoj Kumar , Sandeep Kumar

The conventional supervised hashing methods based on classification do not entirely meet the requirements of hashing technique, but Linear Discriminant Analysis (LDA) does. In this paper, we propose to perform a revised LDA objective over…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Di Hu , Feiping Nie , Xuelong Li

Attention-based models have been widely used in many areas, such as computer vision and natural language processing. However, relevant applications in time series classification (TSC) have not been explored deeply yet, causing a significant…

Machine Learning · Computer Science 2022-07-18 Bowen Zhao , Huanlai Xing , Xinhan Wang , Fuhong Song , Zhiwen Xiao