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Clustering is a crucial task in various domains of knowledge, including medicine, epidemiology, genomics, environmental science, economics, and visual sciences, among others. Methodologies for inferring the number of clusters have often…

Methodology · Statistics 2025-05-26 Clara Grazian

In the field of whole slide image (WSI) classification, multiple instance learning (MIL) serves as a promising approach, commonly decoupled into feature extraction and aggregation. In this paradigm, our observation reveals that…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Xuenian Wang , Shanshan Shi , Renao Yan , Qiehe Sun , Lianghui Zhu , Tian Guan , Yonghong He

This paper focuses on scalability and robustness of spectral clustering for extremely large-scale datasets with limited resources. Two novel algorithms are proposed, namely, ultra-scalable spectral clustering (U-SPEC) and ultra-scalable…

Machine Learning · Computer Science 2019-03-06 Dong Huang , Chang-Dong Wang , Jian-Sheng Wu , Jian-Huang Lai , Chee-Keong Kwoh

Pamminger and Fruwirth-Schnatter (2010) considered a Bayesian approach to model-based clustering of categorical time series assuming a fixed number of clusters. But the popular methods for selecting the number of clusters, for example, the…

Methodology · Statistics 2013-11-12 Sabyasachi Mukhopadhyay , Sourabh Bhattacharya

Bayesian modelling enables us to accommodate complex forms of data and make a comprehensive inference, but the effect of partial misspecification of the model is a concern. One approach in this setting is to modularize the model, and…

Methodology · Statistics 2026-03-18 Yang Liu , Robert J. B. Goudie

Spectral Estimation (SpecEst) is a core area of signal processing with a history spanning two centuries and applications across various fields. With the advent of digital acquisition, SpecEst algorithms have been widely applied to tasks…

Signal Processing · Electrical Eng. & Systems 2025-05-07 Ruiming Guo , Ayush Bhandari

Spectrum sensing in a large-scale heterogeneous network is very challenging as it usually requires a large number of static secondary users (SUs) to obtain the global spectrum states. To tackle this problem, in this paper, we propose a new…

Information Theory · Computer Science 2018-11-26 Yizhen Xu , Peng Cheng , Zhuo Chen , Yonghui Li , Branka Vucetic

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

The performance of spectral clustering heavily relies on the quality of affinity matrix. A variety of affinity-matrix-construction (AMC) methods have been proposed but they have hyperparameters to determine beforehand, which requires strong…

Machine Learning · Computer Science 2023-02-07 Jicong Fan , Yiheng Tu , Zhao Zhang , Mingbo Zhao , Haijun Zhang

Spectral clustering is one of the most popular, yet still incompletely understood, methods for community detection on graphs. This article studies spectral clustering based on the Bethe-Hessian matrix $H_r = (r^2-1)I_n + D-rA$ for sparse…

Social and Information Networks · Computer Science 2019-10-10 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

This paper studies the sparse normal mean models under the empirical Bayes framework. We focus on the mixture priors with an atom at zero and a density component centered at a data driven location determined by maximizing the marginal…

Methodology · Statistics 2017-02-20 Xianyang Zhang , Anirban Bhattacharya

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

Machine Learning · Computer Science 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

In this paper we derive a second-order unbiased (or nearly unbiased) mean squared prediction error (MSPE) estimator of the empirical best linear unbiased predictor (EBLUP) of a small area mean for a semi-parametric extension to the…

Methodology · Statistics 2025-02-26 Shijie Chen , P. Lahiri , J. N. K. Rao

Minimum sum-of-squares clustering (MSSC) is a widely used clustering model, of which the popular K-means algorithm constitutes a local minimizer. It is well known that the solutions of K-means can be arbitrarily distant from the true MSSC…

Machine Learning · Computer Science 2018-12-21 Daniel Gribel , Thibaut Vidal

Although supervised deep representation learning has attracted enormous attentions across areas of pattern recognition and computer vision, little progress has been made towards unsupervised deep representation learning for image…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Jinghua Wang , Jianmin Jiang

With the rise in popularity of digital Atlases to communicate spatial variation, there is an increasing need for robust small-area estimates. However, current small-area estimation methods suffer from various modeling problems when data are…

Methodology · Statistics 2023-12-06 James Hogg , Jessica Cameron , Susanna Cramb , Peter Baade , Kerrie Mengersen

Few shot segmentation (FSS) aims to learn pixel-level classification of a target object in a query image using only a few annotated support samples. This is challenging as it requires modeling appearance variations of target objects and the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Soopil Kim , Philip Chikontwe , Sang Hyun Park

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…

Machine Learning · Computer Science 2020-09-22 Aditya A. Shastri , Kapil Ahuja , Milind B. Ratnaparkhe , Yann Busnel

Most semantic segmentation approaches of Hyperspectral images (HSIs) use and require preprocessing steps in the form of patching to accurately classify diversified land cover in remotely sensed images. These approaches use patching to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Nicholas Soucy , Salimeh Yasaei Sekeh