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This work aims to deal with the optimal allocation instability problem of Markowitz's modern portfolio theory in high dimensionality. We propose a combined strategy that considers covariance matrix estimators from Random Matrix Theory~(RMT)…

Statistical Finance · Quantitative Finance 2025-03-10 Andrés García-Medina , Benito Rodriguéz-Camejo

We propose a new approach for sparse regression and marginal testing, for data with correlated features. Our procedure first clusters the features, and then chooses as the cluster prototype the most informative feature in that cluster. Then…

Methodology · Statistics 2015-03-16 Stephen Reid , Robert Tibshirani

With the improvement of computer performance and the development of GPU-accelerated technology, trading with machine learning algorithms has attracted the attention of many researchers and practitioners. In this research, we propose a novel…

Portfolio Management · Quantitative Finance 2021-03-23 Huanming Zhang , Zhengyong Jiang , Jionglong Su

We present a way to use Topological Data Analysis (TDA) for machine learning tasks on grayscale images. We apply persistent homology to generate a wide range of topological features using a point cloud obtained from an image, its natural…

Machine Learning · Computer Science 2019-10-23 Adélie Garin , Guillaume Tauzin

Optimal data aggregation aimed at maximizing IoT network lifetime by minimizing constrained on-board resource utilization continues to be a challenging task. The existing data aggregation methods have proven that compressed sensing is…

Signal Processing · Electrical Eng. & Systems 2018-06-14 Amarlingam M , Pradeep Kumar Mishra , P Rajalakshmi , Sumohana S. Channappayya , C. S. Sastry

Density peaks clustering has become a nova of clustering algorithm because of its simplicity and practicality. However, there is one main drawback: it is time-consuming due to its high computational complexity. Herein, a density peaks…

Machine Learning · Statistics 2022-07-21 Yunxiao Shan , Shu Li , Fuxiang Li , Yuxin Cui , Shuai Li , Ming Zhou , Xiang Li

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

This paper investigates the large sample properties of the variance, weights, and risk of high-dimensional portfolios where the inverse of the covariance matrix of excess asset returns is estimated using a technique called nodewise…

Statistics Theory · Mathematics 2019-10-16 Laurent Callot , Mehmet Caner , Esra Ulasan , A. Özlem Önder

We propose a new way of building portfolios of cryptocurrencies that provide good diversification properties to investors. First, we seek to filter these digital assets by creating some clusters based on their path signature. The goal is to…

Portfolio Management · Quantitative Finance 2024-11-01 Hugo Inzirillo

Model-based clustering integrated with variable selection is a powerful tool for uncovering latent structures within complex data. However, its effectiveness is often hindered by challenges such as identifying relevant variables that define…

This work studies the theoretical rules of feature selection in linear discriminant analysis (LDA), and a new feature selection method is proposed for sparse linear discriminant analysis. An $l_1$ minimization method is used to select the…

Methodology · Statistics 2013-04-23 Cheng Wang , Longbing Cao , Baiqi Miao

Over the last few years, traffic data has been exploding and the transportation discipline has entered the era of big data. It brings out new opportunities for doing data-driven analysis, but it also challenges traditional analytic methods.…

Machine Learning · Statistics 2019-07-18 Renjie Chen , Jingyue Zhang , Nalini Ravishanker , Karthik Konduri

Multiscale phenomena that evolve on multiple distinct timescales are prevalent throughout the sciences. It is often the case that the governing equations of the persistent and approximately periodic fast scales are prescribed, while the…

Chaotic Dynamics · Physics 2020-08-19 Jason J. Bramburger , Daniel Dylewsky , J. Nathan Kutz

This paper extends the tactical asset allocation literature by incorporating regime modeling using techniques from machine learning. We propose a novel model that classifies current regimes, forecasts the distribution of future regimes, and…

Portfolio Management · Quantitative Finance 2025-03-24 Daniel Cunha Oliveira , Dylan Sandfelder , André Fujita , Xiaowen Dong , Mihai Cucuringu

In the context of rapid urbanization, understanding the patterns of urban residents' activities and mobility is crucial for optimizing transportation systems and enhancing urban management efficiency. This study addresses the limitations of…

Applications · Statistics 2024-06-25 Nuoxian Huang , Yulin Wu

Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

Machine Learning · Computer Science 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov

Deep multi-view clustering seeks to utilize the abundant information from multiple views to improve clustering performance. However, most of the existing clustering methods often neglect to fully mine multi-view structural information and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Jinrong Cui , Xiaohuang Wu , Haitao Zhang , Chongjie Dong , Jie Wen

Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA has been widely and successfully applied across various…

Machine Learning · Computer Science 2024-07-29 Martin Uray , Barbara Giunti , Michael Kerber , Stefan Huber

Crowding is widely regarded as one of the most important risk factors in designing portfolio strategies. In this paper, we analyze stock crowding using network analysis of fund holdings, which is used to compute crowding scores for stocks.…

Portfolio Management · Quantitative Finance 2023-06-16 Vadim Zlotnikov , Jiayu Liu , Igor Halperin , Fei He , Lisa Huang

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira