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In this paper, we explore the detection of clusters of stocks that are in synergy in the Indian Stock Market and understand their behaviour in different circumstances. We have based our study on high frequency data for the year 2014. This…

Statistical Finance · Quantitative Finance 2019-03-11 Charu Sharma , Amber Habib

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

Computational Engineering, Finance, and Science · Computer Science 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

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

The stock market prediction has always been crucial for stakeholders, traders and investors. We developed an ensemble Long Short Term Memory (LSTM) model that includes two-time frequencies (annual and daily parameters) in order to predict…

Statistical Finance · Quantitative Finance 2020-01-13 Zineb Lanbouri , Saaid Achchab

This paper studies computationally efficient methods and their minimax optimality for high-dimensional clustering and signal recovery under block signal structures. We propose two sets of methods, cross-block feature aggregation PCA…

Methodology · Statistics 2025-04-14 Wu Su , Yumou Qiu

Clustering uncertain data is an essential task in data mining for the internet of things. Possible world based algorithms seem promising for clustering uncertain data. However, there are two issues in existing possible world based…

Machine Learning · Computer Science 2019-09-30 Han Liu , Xianchao Zhang , Xiaotong Zhang , Qimai Li , Xiao-Ming Wu

The stochastic block model (SBM) with two communities, or equivalently the planted bisection model, is a popular model of random graph exhibiting a cluster behaviour. In the symmetric case, the graph has two equally sized clusters and…

Social and Information Networks · Computer Science 2014-10-29 Emmanuel Abbe , Afonso S. Bandeira , Georgina Hall

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

Learning the community structure of a large-scale graph is a fundamental problem in machine learning, computer science and statistics. We study the problem of exactly recovering the communities in a graph generated from the Stochastic Block…

Data Structures and Algorithms · Computer Science 2023-08-16 Zelin Li , Pan Peng , Xianbin Zhu

Sparse subspace clustering (SSC) is one of the current state-of-the-art methods for partitioning data points into the union of subspaces, with strong theoretical guarantees. However, it is not practical for large data sets as it requires…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Maryam Abdolali , Nicolas Gillis , Mohammad Rahmati

We study the dynamic interactions and structural changes in global financial indices in the years 1998-2012. We apply a principal component analysis (PCA) to cross-correlation coefficients of the stock indices. We calculate the correlations…

Physics and Society · Physics 2016-02-17 Ashadun Nobi , Jae Woo Lee

We compare some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory…

Disordered Systems and Neural Networks · Physics 2008-12-02 C. Coronnello , M. Tumminello , F. Lillo , S. Miccichè , R. N. Mantegna

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

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

Based on further studying the low-rank subspace clustering (LRSC) and L2-graph subspace clustering algorithms, we propose a F-graph subspace clustering algorithm with a symmetric constraint (FSSC), which constructs a new objective function…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Kai Xu , Xiao-Jun Wu , Wen-Bo Hu

The stock market, as a cornerstone of the financial markets, places forecasting stock price movements at the forefront of challenges in quantitative finance. Emerging learning-based approaches have made significant progress in capturing the…

Machine Learning · Computer Science 2025-04-01 Sida Lin , Yankai Chen , Yiyan Qi , Chenhao Ma , Bokai Cao , Yifei Zhang , Xue Liu , Jian Guo

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

We implement a master-slave parallel genetic algorithm (PGA) with a bespoke log-likelihood fitness function to identify emergent clusters within price evolutions. We use graphics processing units (GPUs) to implement a PGA and visualise the…

Computational Finance · Quantitative Finance 2016-02-17 Dieter Hendricks , Diane Wilcox , Tim Gebbie

A novel decomposition scheme to solve parametric non-convex programs as they arise in Nonlinear Model Predictive Control (NMPC) is presented. It consists of a fixed number of alternating proximal gradient steps and a dual update per time…

Optimization and Control · Mathematics 2014-12-25 Jean-Hubert Hours , Colin N. Jones

Symmetric Nonnegative Matrix Factorization (SNMF) models arise naturally as simple reformulations of many standard clustering algorithms including the popular spectral clustering method. Recent work has demonstrated that an elementary…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos