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An original graph clustering approach to efficient localization of error covariances is proposed within an ensemble-variational data assimilation framework. Here the localization term is very generic and refers to the idea of breaking up a…

Statistics Theory · Mathematics 2020-02-03 Sibo Cheng , Jean-Philippe Argaud , Bertrand Iooss , Angélique Ponçot , Didier Lucor

Monte Carlo Approaches for calculating Value-at-Risk (VaR) are powerful tools widely used by financial risk managers across the globe. However, they are time consuming and sometimes inaccurate. In this paper, a fast and accurate Monte Carlo…

General Economics · Economics 2020-11-17 Seyed Mohammad Sina Seyfi , Azin Sharifi , Hamidreza Arian

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

Methodology · Statistics 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang

In a clustered observational study, a treatment is assigned to groups and all units within the group are exposed to the treatment. We develop a new method for statistical adjustment in clustered observational studies using approximate…

Methodology · Statistics 2023-03-06 Luke Keele , Eli Ben-Michael , Lindsay Page

Covariance matrices provide a valuable source of information about complex interactions and dependencies within the data. However, from a clustering perspective, this information has often been underutilized and overlooked. Indeed, commonly…

Methodology · Statistics 2024-09-02 Andrea Cappozzo , Alessandro Casa

In this paper, we present a novel trading strategy that integrates reinforcement learning methods with clustering techniques for portfolio management in multi-period trading. Specifically, we leverage the clustering method to categorize…

Portfolio Management · Quantitative Finance 2023-10-03 Zhengyong Jiang , Jeyan Thiayagalingam , Jionglong Su , Jinjun Liang

The cluster variation method (CVM) is a hierarchy of approximate variational techniques for discrete (Ising--like) models in equilibrium statistical mechanics, improving on the mean--field approximation and the Bethe--Peierls approximation,…

Statistical Mechanics · Physics 2007-07-16 Alessandro Pelizzola

Generalized linear mixed models (GLMM) are commonly used to analyze clustered data, but when the number of clusters is small to moderate, standard statistical tests may produce elevated type I error rates. Small-sample corrections have been…

Methodology · Statistics 2023-11-07 Hongxiang Qiu , Andrea J. Cook , Jennifer F. Bobb

Machine learning (ML) methods have been successfully employed in identifying variables that can predict the equity premium of individual stocks. In this paper, we investigate if ML can also be helpful in selecting variables relevant for…

Portfolio Management · Quantitative Finance 2025-08-22 Guilherme V. Moura , André P. Santos , Hudson S. Torrent

In many applications of X-ray computed tomography, an unsupervised segmentation of the reconstructed 3D volumes forms an important step in the image processing chain for further investigation of the digitized object. Therefore, the goal is…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Thomas Lang

This survey reviews a clustering method based on solving a convex optimization problem. Despite the plethora of existing clustering methods, convex clustering has several uncommon features that distinguish it from prior art. The…

Methodology · Statistics 2025-09-19 Eric C. Chi , Aaron J. Molstad , Zheming Gao , Jocelyn T. Chi

We propose a method for estimating coefficients in multivariate regression when there is a clustering structure to the response variables. The proposed method includes a fusion penalty, to shrink the difference in fitted values from…

Machine Learning · Statistics 2018-03-28 Bradley S. Price , Ben Sherwood

Clustering can be used to extract insights from data or to verify some of the assumptions held by the domain experts, namely data segmentation. In the literature, few methods can be applied in clustering qualitative values using the context…

Machine Learning · Computer Science 2020-07-07 Diogo Seca , João Mendes-Moreira , Tiago Mendes-Neves , Ricardo Sousa

The mean-variance model remains the most prevalent investment framework, built on diversification principles. However, it consistently struggles with estimation errors in expected returns and the covariance matrix, its core parameters. To…

Portfolio Management · Quantitative Finance 2026-01-29 Rupendra Yadav , Amita Sharma , Aparna Mehra

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

Methodology · Statistics 2020-06-24 Serhat Emre Akhanli , Christian Hennig

In this short report, we discuss how coordinate-wise descent algorithms can be used to solve minimum variance portfolio (MVP) problems in which the portfolio weights are constrained by $l_{q}$ norms, where $1\leq q \leq 2$. A portfolio…

Portfolio Management · Quantitative Finance 2013-09-17 Yu-Min Yen

In empirical work it is common to estimate parameters of models and report associated standard errors that account for "clustering" of units, where clusters are defined by factors such as geography. Clustering adjustments are typically…

Statistics Theory · Mathematics 2022-09-21 Alberto Abadie , Susan Athey , Guido Imbens , Jeffrey Wooldridge

Meta-analyses frequently include trials that report multiple effect sizes based on a common set of study participants. These effect sizes will generally be correlated. Cluster-robust variance-covariance estimators are a fruitful approach…

Methodology · Statistics 2022-03-07 Thilo Welz , Wolfgang Viechtbauer , Markus Pauly

In this paper, we perform a comprehensive study of different covariance and precision matrix estimation methods in the context of minimum variance portfolio allocation. The set of models studied by us can be broadly categorized as: Gaussian…

Computational Finance · Quantitative Finance 2023-05-22 Sumanjay Dutta , Shashi Jain

Clustering algorithms are pivotal in data analysis, enabling the organization of data into meaningful groups. However, individual clustering methods often exhibit inherent limitations and biases, preventing the development of a universal…

Neural and Evolutionary Computing · Computer Science 2024-12-13 H. Jahani , F. Zamio