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Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

Quantitative Methods · Quantitative Biology 2022-08-12 Richard Tjörnhammar

The majority of standard approaches to financial portfolio optimization (PO) are based on the mean-variance (MV) framework. Given a risk aversion coefficient, the MV procedure yields a single portfolio that represents the optimal trade-off…

Portfolio Management · Quantitative Finance 2024-02-27 Bruno Gašperov , Marko Đurasević , Domagoj Jakobovic

The popularity of modern portfolio theory has decreased among practitioners because of its unfavorable out-of-sample performance. Estimation errors tend to affect the optimal weight calculation noticeably, especially when a large number of…

Portfolio Management · Quantitative Finance 2019-10-28 Sven Husmann , Antoniya Shivarova , Rick Steinert

Clustering is an essential task to unsupervised learning. It tries to automatically separate instances into coherent subsets. As one of the most well-known clustering algorithms, k-means assigns sample points at the boundary to a unique…

Machine Learning · Computer Science 2022-02-22 Sixiao Zheng , Ke Fan , Yanxi Hou , Jianfeng Feng , Yanwei Fu

Common clustering methods, such as $k$-means and convex clustering, group similar vector-valued observations into clusters. However, with the increasing prevalence of matrix-valued observations, which often exhibit low rank characteristics,…

Optimization and Control · Mathematics 2024-12-24 Meixia Lin , Yangjing Zhang

Many applications from the financial industry successfully leverage clustering algorithms to reveal meaningful patterns among a vast amount of unstructured financial data. However, these algorithms suffer from a lack of interpretability…

Applications · Statistics 2020-07-24 Enguerrand Horel , Kay Giesecke , Victor Storchan , Naren Chittar

We tackle the challenge of estimating grouping structures and factor loadings in asset pricing models, where traditional regressions struggle due to sparse data and high noise. Existing approaches, such as those using fused penalties and…

Methodology · Statistics 2025-12-30 Liyuan Cui , Guanhao Feng , Yuefeng Han , Jiayan Li

In this paper, we present an extended exploratory continuous-time mean-variance framework for portfolio management. Our strategy involves a new clustering method based on simulated annealing, which allows for more practical asset selection.…

Portfolio Management · Quantitative Finance 2023-03-07 Zhou Fang

Clustering of variables is as a way to arrange variables into homogeneous clusters, i.e., groups of variables which are strongly related to each other and thus bring the same information. These approaches can then be useful for dimension…

Computation · Statistics 2012-12-12 M. Chavent , V. Kuentz , B. Liquet , L. Saracco

We derive an efficient method to perform clustering of nodes in Gaussian graphical models directly from sample data. Nodes are clustered based on the similarity of their network neighborhoods, with edge weights defined by partial…

Machine Learning · Computer Science 2019-10-08 Keith Dillon

The idiosyncratic (microscopic) and systemic (macroscopic) components of market structure have been shown to be responsible for the departure of the optimal mean-variance allocation from the heuristic `equally-weighted' portfolio. In this…

Portfolio Management · Quantitative Finance 2024-12-24 Sebastiano Michele Zema , Giorgio Fagiolo , Tiziano Squartini , Diego Garlaschelli

Boosting techniques from the field of statistical learning have grown to be a popular tool for estimating and selecting predictor effects in various regression models and can roughly be separated in two general approaches, namely gradient…

Methodology · Statistics 2019-12-16 Colin Griesbach , Andreas Groll , Elisabeth Waldmann

A pairwise clustering approach is applied to the analysis of the Dow Jones index companies, in order to identify similar temporal behavior of the traded stock prices. To this end, the chaotic map clustering algorithm is used, where a map is…

Disordered Systems and Neural Networks · Physics 2010-01-31 N. Basalto , R. Bellotti , F. De Carlo , P. Facchi , S. Pascazio

This paper presents a novel application of a clustering algorithm developed for constructing a phylogenetic network to the correlation matrix for 126 stocks listed on the Shanghai A Stock Market. We show that by visualizing the correlation…

Statistical Finance · Quantitative Finance 2015-12-12 Hannah Cheng Juan Zhan , William Rea , Alethea Rea

One potential solution to combat the scarcity of tail observations in extreme value analysis is to integrate information from multiple datasets sharing similar tail properties, for instance, a common extreme value index. In other words, for…

Methodology · Statistics 2025-06-25 Liujun Chen , Marco Oesting , Chen Zhou

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

Machine Learning · Statistics 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

Considering the shortcomings of the traditional sample covariance matrix estimation, this paper proposes an improved global minimum variance portfolio model and named spectral corrected and regularized global minimum variance portfolio…

Applications · Statistics 2023-08-30 Hua Li , Jiafu Huang

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

Covariance matrix estimation is a fundamental statistical task in many applications, but the sample covariance matrix is sub-optimal when the sample size is comparable to or less than the number of features. Such high-dimensional settings…

Methodology · Statistics 2022-06-06 Huiqin Xin , Sihai Dave Zhao

Multi-view data analysis has gained increasing popularity because multi-view data are frequently encountered in machine learning applications. A simple but promising approach for clustering of multi-view data is multi-view clustering (MVC),…

Machine Learning · Computer Science 2020-12-01 Mitsuhiko Horie , Hiroyuki Kasai
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