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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

A first step in exploring population structure in crop plants and other organisms is to define the number of subpopulations that exist for a given data set. The genetic marker data sets being generated have become increasingly large over…

Applications · Statistics 2014-01-09 Mark A. Newell , Dianne Cook , Heike Hofmann , Jean-Luc Jannink

Spectral clustering is widely used in practice due to its flexibility, computational efficiency, and well-understood theoretical performance guarantees. Recently, spectral clustering has been studied to find balanced clusters under…

Machine Learning · Statistics 2022-03-07 Shubham Gupta , Ambedkar Dukkipati

Higher-order structures of networks, namely, small subgraphs of networks (also called network motifs), are widely known to be crucial and essential to the organization of networks. There has been a few work studying the community detection…

Methodology · Statistics 2023-04-14 Xiao Guo , Hai Zhang , Xiangyu Chang

Determining subgroups that respond especially well (or poorly) to specific interventions (medical or policy) requires new supervised learning methods tailored specifically for causal inference. Bayesian Causal Forest (BCF) is a recent…

Machine Learning · Statistics 2022-09-16 Nikolay Krantsevich , Jingyu He , P. Richard Hahn

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

Methodology · Statistics 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

Clustering is a fundamental task for analyzing unlabeled data based solely on its underlying distribution. Spectral clustering is a clustering method that represents a dataset as a graph and uses the relationships between data points.…

Quantum Physics · Physics 2025-04-01 Hyeong-Gyu Kim , Siheon Park , June-Koo Kevin Rhee

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

Machine Learning · Computer Science 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

We revisit the theoretical performances of Spectral Clustering, a classical algorithm for graph partitioning that relies on the eigenvectors of a matrix representation of the graph. Informally, we show that Spectral Clustering works well as…

Machine Learning · Computer Science 2025-12-01 George Tyler , Luca Zanetti

Ashtiani et al. proposed a Semi-Supervised Active Clustering framework (SSAC), where the learner is allowed to make adaptive queries to a domain expert. The queries are of the kind "do two given points belong to the same optimal cluster?"…

Data Structures and Algorithms · Computer Science 2017-10-05 Nir Ailon , Anup Bhattacharya , Ragesh Jaiswal , Amit Kumar

We apply the concept of subset seeds proposed in [1] to similarity search in protein sequences. The main question studied is the design of efficient seed alphabets to construct seeds with optimal sensitivity/selectivity trade-offs. We…

Quantitative Methods · Quantitative Biology 2008-10-31 Mihkail Roytberg , Anna Gambin , Laurent Noé , Slawomir Lasota , Eugenia Furletova , Ewa Szczurek , Gregory Kucherov

Leaf image recognition techniques have been actively researched for plant species identification. However it remains unclear whether leaf patterns can provide sufficient information for cultivar recognition. This paper reports the first…

Computer Vision and Pattern Recognition · Computer Science 2019-10-14 Bin Wang , Yongsheng Gao , Xiaohan Yu , Xiaohui Yuan , Shengwu Xiong , Xianzhong Feng

The community detection problem on multilayer networks have drawn much interest. When the nodal covariates ar also present, few work has been done to integrate information from both sources. To leverage the multilayer networks and the…

Methodology · Statistics 2025-03-13 Da Zhao , Wanjie Wang , Jialiang Li

Sparse Subspace Clustering (SSC) has achieved state-of-the-art clustering quality by performing spectral clustering over a $\ell^{1}$-norm based similarity graph. However, SSC is a transductive method which does not handle with the data not…

Machine Learning · Computer Science 2014-09-11 Xi Peng , Lei Zhang , Zhang Yi

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

Spectral clustering is a standard approach to label nodes on a graph by studying the (largest or lowest) eigenvalues of a symmetric real matrix such as e.g. the adjacency or the Laplacian. Recently, it has been argued that using instead a…

Disordered Systems and Neural Networks · Physics 2015-04-30 Alaa Saade , Florent Krzakala , Lenka Zdeborová

We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion $\alpha$ of contaminating data to guarantee the robustness of the…

Statistics Theory · Mathematics 2008-12-18 Luis A. García-Escudero , Alfonso Gordaliza , Carlos Matrán , Agustin Mayo-Iscar

This study introduces a novel hierarchical divisive clustering approach with stochastic splitting functions (SSFs) to enhance classification performance in multi-class datasets through hierarchical classification (HC). The method has the…

Machine Learning · Computer Science 2023-09-22 Celal Alagoz

We present a technique for clustering categorical data by generating many dissimilarity matrices and averaging over them. We begin by demonstrating our technique on low dimensional categorical data and comparing it to several other…

Machine Learning · Statistics 2017-09-20 Saeid Amiri , Bertrand Clarke , Jennifer Clarke

High-throughput spectrometers are capable of producing data sets containing thousands of spectra for a single biological sample. These data sets contain a substantial amount of redundancy from peptides that may get selected multiple times…

Data Structures and Algorithms · Computer Science 2013-01-08 Fahad Saeed , Trairak Pisitkun , Mark A. Knepper , Jason D. Hoffert