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"Cluster" extensions of the dynamical mean field method to include longer range correlations are discussed. It is argued that the clusters arising in these methods are naturally interpreted not as actual subunits of a physical lattice but…

Strongly Correlated Electrons · Physics 2009-11-10 S. Okamoto , A. J. Millis , H. Monien , A. Fuhrmann , .

Spectral clustering has shown a superior performance in analyzing the cluster structure. However, its computational complexity limits its application in analyzing large-scale data. To address this problem, many low-rank matrix approximating…

Machine Learning · Computer Science 2020-07-23 Djallel Bouneffouf

Observationally, the mysterious fast radio bursts (FRBs) are classified as repeating ones and apparently non-repeating ones. While repeating FRBs cannot be classified into the non-repeating group, it is unknown whether the apparently…

High Energy Astrophysical Phenomena · Physics 2022-11-30 Jia-Wei Luo , Jia-Ming Zhu-Ge , Bing Zhang

This paper is a review of the popular Benjamini Hochberg Method and other related useful methods of Multiple Hypothesis testing. This is written with the purpose of serving a short but complete easy to understand review of the main article…

Methodology · Statistics 2014-06-30 Anish Acharya

Many data-driven approaches exist to extract neural representations of functional magnetic resonance imaging (fMRI) data, but most of them lack a proper probabilistic formulation. We propose a group level scalable probabilistic sparse…

While linear registration is a critical step in MRI preprocessing pipelines, its numerical uncertainty is understudied. Using Monte-Carlo Arithmetic (MCA) simulations, we assessed the most commonly used linear registration tools within…

Quantitative Methods · Quantitative Biology 2025-09-01 Niusha Mirhakimi , Yohan Chatelain , Tristan Glatard , Jean-Baptiste Poline

We study the Personalized PageRank (PPR) algorithm, a local spectral method for clustering, which extracts clusters using locally-biased random walks around a given seed node. In contrast to previous work, we adopt a classical statistical…

Statistics Theory · Mathematics 2021-12-24 Alden Green , Sivaraman Balakrishnan , Ryan J. Tibshirani

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

Speech produced by individuals with cleft lip and palate (CLP) is often highly nasalized and breathy due to structural anomalies, causing shifts in formant structure that affect automatic speech recognition (ASR) performance and fairness.…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-07 Susmita Bhattacharjee , Jagabandhu Mishra , H. S. Shekhawat , S. R. Mahadeva Prasanna

Spectral clustering is one of the most widely used techniques for extracting the underlying global structure of a data set. Compressed sensing and matrix completion have emerged as prevailing methods for efficiently recovering sparse and…

Numerical Analysis · Mathematics 2010-11-05 Blake Hunter , Thomas Strohmer

Multiple comparison procedures that control a family-wise error rate or false discovery rate provide an achieved error rate as the adjusted p-value for each hypothesis tested. However, since such p-values are not probabilities that the null…

Methodology · Statistics 2013-09-03 David R. Bickel

Fair clustering aims to divide data into distinct clusters while preventing sensitive attributes (\textit{e.g.}, gender, race, RNA sequencing technique) from dominating the clustering. Although a number of works have been conducted and…

Machine Learning · Computer Science 2023-04-24 Pengxin Zeng , Yunfan Li , Peng Hu , Dezhong Peng , Jiancheng Lv , Xi Peng

Graph clustering problems typically aim to partition the graph nodes such that two nodes belong to the same partition set if and only if they are similar. Correlation Clustering is a graph clustering formulation which: (1) takes as input a…

Social and Information Networks · Computer Science 2021-10-19 Jimit Majmudar , Stephen Vavasis

Results on the false discovery rate (FDR) and the false nondiscovery rate (FNR) are developed for single-step multiple testing procedures. In addition to verifying desirable properties of FDR and FNR as measures of error rates, these…

Statistics Theory · Mathematics 2007-06-13 Sanat K. Sarkar

The goal of this work is to develop accurate Machine Learning (ML) models for predicting the assembly axial neutron flux profiles in the SAFARI-1 research reactor, trained by measurement data from historical cycles. The data-driven nature…

Machine Learning · Computer Science 2023-12-25 Lesego Moloko , Pavel Bokov , Xu Wu , Kostadin Ivanov

We introduce FedGVI, a probabilistic Federated Learning (FL) framework that is robust to both prior and likelihood misspecification. FedGVI addresses limitations in both frequentist and Bayesian FL by providing unbiased predictions under…

Machine Learning · Computer Science 2025-06-11 Terje Mildner , Oliver Hamelijnck , Paris Giampouras , Theodoros Damoulas

Spectral clustering is a popular and versatile clustering method based on a relaxation of the normalised graph cut objective. Despite its popularity, however, there is no single agreed upon method for tuning the important scaling parameter,…

Machine Learning · Statistics 2019-11-12 David Hofmeyr

The spectral clustering algorithm is often used as a binary clustering method for unclassified data by applying the principal component analysis. To study theoretical properties of the algorithm, the assumption of conditional…

Statistics Theory · Mathematics 2025-05-27 Kohei Kawamoto , Yuichi Goto , Koji Tsukuda

We present a procedure for handling asymmetric errors. Many results in particle physics are presented as values with different positive and negative errors, and there is no consistent procedure for handling them. We consider the difference…

Methodology · Statistics 2025-08-05 Roger Barlow , Alessandra Brazzale , Igor Volobouev

Two permutation-based methods for simultaneous inference on the proportion of active voxels in cluster-wise brain imaging analysis have recently been published: Notip (Blain et al. 2022) and pARI (Andreella et al. 2023). Both rely on the…

Applications · Statistics 2024-02-07 Angela Andreella , Anna Vesely , Weeda Wouter , Jelle Goeman