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We proposed a data-driven approach to dissect multivariate time series in order to discover multiple phases underlying dynamics of complex systems. This computing approach is developed as a multiple-dimension version of Hierarchical Factor…

Methodology · Statistics 2021-03-09 Xiaodong Wang , Fushing Hsieh

In multivariate time series systems, lead-lag relationships reveal dependencies between time series when they are shifted in time relative to each other. Uncovering such relationships is valuable in downstream tasks, such as control,…

Statistical Finance · Quantitative Finance 2023-09-19 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

Despite the large research effort devoted to learning dependencies between time series, the state of the art still faces a major limitation: existing methods learn partial correlations but fail to discriminate across distinct frequency…

Machine Learning · Computer Science 2024-07-08 Gabriele D'Acunto , Paolo Di Lorenzo , Francesco Bonchi , Stefania Sardellitti , Sergio Barbarossa

Various Transformer-based models have been proposed for time series forecasting. These models leverage the self-attention mechanism to capture long-term temporal or variate dependencies in sequences. Existing methods can be divided into two…

Machine Learning · Computer Science 2025-06-04 Daichi Kimura , Tomonori Izumitani , Hisashi Kashima

Physics has been transforming our view of nature for centuries. While combining physical knowledge with computational approaches has enabled detailed modeling of physical systems' evolution, understanding the emergence of patterns and…

Computational Physics · Physics 2025-06-09 Guang-Xing Li

High-frequency trading (HFT) accounts for almost half of equity trading volume, yet it is not identified in public data. We develop novel data-driven measures of HFT activity that separate strategies that supply and demand liquidity. We…

Computational Finance · Quantitative Finance 2025-03-24 G. Ibikunle , B. Moews , D. Muravyev , K. Rzayev

This paper provides a holistic study of how stock prices vary in their response to financial disclosures across different topics. Thereby, we specifically shed light into the extensive amount of filings for which no a priori categorization…

Computation and Language · Computer Science 2018-05-10 Stefan Feuerriegel , Nicolas Pröllochs

This paper studies forward-looking stock-stock correlation forecasting for S\&P 500 constituents and evaluates whether learned correlation forecasts can improve graph-based clustering used in basket trading strategies. We cast 10-day ahead…

Computational Finance · Quantitative Finance 2026-01-09 Jack Fanshawe , Rumi Masih , Alexander Cameron

We provide a novel method for large volatility matrix prediction with high-frequency data by applying eigen-decomposition to daily realized volatility matrix estimators and capturing eigenvalue dynamics with ARMA models. Given a sequence of…

Applications · Statistics 2019-09-26 Xinyu Song

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and…

Methodology · Statistics 2025-12-02 Jeshwanth Mohan , Bharath Ramsundar , Sandya Subramanian

In multivariate time series systems, it has been observed that certain groups of variables partially lead the evolution of the system, while other variables follow this evolution with a time delay; the result is a lead-lag structure amongst…

Machine Learning · Statistics 2022-01-21 Stefanos Bennett , Mihai Cucuringu , Gesine Reinert

While deep learning has received a surge of interest in a variety of fields in recent years, major deep learning models barely use complex numbers. However, speech, signal and audio data are naturally complex-valued after Fourier Transform,…

Machine Learning · Computer Science 2021-08-10 Muqiao Yang , Martin Q. Ma , Dongyu Li , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov

Nowadays, with the availability of massive amount of trade data collected, the dynamics of the financial markets pose both a challenge and an opportunity for high frequency traders. In order to take advantage of the rapid, subtle movement…

Computational Engineering, Finance, and Science · Computer Science 2018-07-06 Dat Thanh Tran , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Several novel statistical methods have been developed to estimate large integrated volatility matrices based on high-frequency financial data. To investigate their asymptotic behaviors, they require a sub-Gaussian or finite high-order…

Statistics Theory · Mathematics 2023-08-15 Minseok Shin , Donggyu Kim , Jianqing Fan

We compare correlations and coherent structures in nuclei and financial markets. In the nuclear physics part we review giant resonances which can be interpreted as a coherent structure embedded in chaos. With similar methods we investigate…

Statistical Finance · Quantitative Finance 2015-05-14 J. Speth , S. Drozdz , F. Gruemmer

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

In this paper, we propose a new regression-based algorithm to compute Graph Fourier Transform (GFT). Our algorithm allows different regularizations to be included when computing the GFT analysis components, so that the resulting components…

Signal Processing · Electrical Eng. & Systems 2018-11-22 Seyed Hamid Safavi , Manas Khatua , Ngai-Man Cheung , Farah Torkamani-Azar

Lead-lag relationships among assets represent a useful tool for analyzing high frequency financial data. However, research on these relationships predominantly focuses on correlation analyses for the dynamics of stock prices, spots and…

Statistical Finance · Quantitative Finance 2020-01-08 Lasko Basnarkov , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev

The paper presents new machine learning methods: signal composition, which classifies time-series regardless of length, type, and quantity; and self-labeling, a supervised-learning enhancement. The paper describes further the implementation…

Machine Learning · Computer Science 2013-05-14 Uri Kartoun

Linear causal analysis is central to a wide range of important application spanning finance, the physical sciences, and engineering. Much of the existing literature in linear causal analysis operates in the time domain. Unfortunately, the…

Machine Learning · Computer Science 2016-03-11 Francois W. Belletti , Evan R. Sparks , Michael J. Franklin , Alexandre M. Bayen , Joseph E. Gonzalez