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In economic and financial applications, there is often the need for analysing multivariate time series, comprising of time series for a range of quantities. In some applications such complex systems can be associated with some underlying…

Methodology · Statistics 2023-09-27 Anastasia Mantziou , Mihai Cucuringu , Victor Meirinhos , Gesine Reinert

Pairs Trading is carried out in the financial market to earn huge profits from known equilibrium relation between pairs of stock. In financial markets, seldom it is seen that stock pairs are correlated at particular lead or lag. This…

Statistical Finance · Quantitative Finance 2020-06-24 Kartikay Gupta , Niladri Chatterjee

Clustering temporal and dynamically changing multivariate time series from real-world fields, called temporal clustering for short, has been a major challenge due to inherent complexities. Although several deep temporal clustering…

Machine Learning · Computer Science 2026-01-13 Zhi Wang , Yanni Li , Pingping Zheng , Yiyuan Jiao

Machine learning and in particular deep learning algorithms are the emerging approaches to data analysis. These techniques have transformed traditional data mining-based analysis radically into a learning-based model in which existing data…

Machine Learning · Computer Science 2020-04-17 Neda Tavakoli , Sima Siami-Namini , Mahdi Adl Khanghah , Fahimeh Mirza Soltani , Akbar Siami Namin

We define data-driven macroeconomic regimes by clustering the relative performance in time of indices belonging to different asset classes. We then investigate lead-lag relationships within the regimes identified. Our study unravels market…

Mathematical Finance · Quantitative Finance 2022-09-05 Deborah Miori , Mihai Cucuringu

Multivariate time series are routinely encountered in real-world applications, and in many cases, these time series are strongly correlated. In this paper, we present a deep learning structural time series model which can (i) handle…

Machine Learning · Statistics 2020-01-03 Changwei Hu , Yifan Hu , Sungyong Seo

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

We frequently encounter multiple series that are temporally correlated in our surroundings, such as EEG data to examine alterations in brain activity or sensors to monitor body movements. Segmentation of multivariate time series data is a…

Machine Learning · Computer Science 2024-10-23 Shima Imani , Harsh Shrivastava

Financial time-series forecasting is one of the most challenging domains in the field of time-series analysis. This is mostly due to the highly non-stationary and noisy nature of financial time-series data. With progressive efforts of the…

Machine Learning · Computer Science 2022-01-17 Mostafa Shabani , Dat Thanh Tran , Martin Magris , Juho Kanniainen , Alexandros Iosifidis

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

Time series forecasting has gained lots of attention recently; this is because many real-world phenomena can be modeled as time series. The massive volume of data and recent advancements in the processing power of the computers enable…

Machine Learning · Computer Science 2021-04-01 Manie Tadayon , Yumi Iwashita

Discovering temporal lagged and inter-dependencies in multivariate time series data is an important task. However, in many real-world applications, such as commercial cloud management, manufacturing predictive maintenance, and portfolios…

Machine Learning · Computer Science 2018-12-12 Xuan-Hong Dang , Syed Yousaf Shah , Petros Zerfos

Dynamic networks are a general language for describing time-evolving complex systems, and discrete time network models provide an emerging statistical technique for various applications. It is a fundamental research question to detect the…

Methodology · Statistics 2017-12-21 Kevin H. Lee , Lingzhou Xue , David R. Hunter

In our previous study we have presented an approach to studying lead--lag effect in financial markets using information and network theories. Methodology presented there, as well as previous studies using Pearson's correlation for the same…

Statistical Finance · Quantitative Finance 2014-07-21 Paweł Fiedor

Multivariate time series forecasting is of great importance to many scientific disciplines and industrial sectors. The evolution of a multivariate time series depends on the dynamics of its variables and the connectivity network of causal…

Machine Learning · Computer Science 2020-09-03 Christos Koutlis , Symeon Papadopoulos , Manos Schinas , Ioannis Kompatsiaris

In complex systems, events occur at irregular intervals that inherently encode the underlying dynamics of the system. Analyzing the temporal clustering of these events reveals critical insights into the non-random patterns and the temporal…

Data Analysis, Statistics and Probability · Physics 2026-03-20 Ambedkar Sanket Sukdeo , K. Shri Vignesh , Sachin S. Gunthe , T Narayan Rao , Amit Kumar Patra , R. I. Sujith

We propose a two-stage approach Spec PC-CP to identify change points in multivariate time series. In the first stage, we obtain a low-dimensional summary of the high-dimensional time series by Spectral Principal Component Analysis…

Applications · Statistics 2021-01-13 Shuhao Jiao , Tong Shen , Zhaoxia Yu , Hernando Ombao

The correlation matrix is the key element in optimal portfolio allocation and risk management. In particular, the eigenvectors of the correlation matrix corresponding to large eigenvalues can be used to identify the market mode, sectors and…

Trading and Market Microstructure · Quantitative Finance 2019-11-05 S. Valeyre , D. S. Grebenkov , S. Aboura

We investigate two recently proposed multivariate time series analysis techniques that aim at detecting phase synchronization clusters in spatially extended, nonstationary systems with regard to field applications. The starting point of…

Data Analysis, Statistics and Probability · Physics 2010-03-15 Stephan Bialonski , Klaus Lehnertz

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert