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Comparing time series is essential in various tasks such as clustering and classification. While elastic distance measures that allow warping provide a robust quantitative comparison, a qualitative comparison on top of them is missing.…

Machine Learning · Computer Science 2025-06-19 Simiao Lin , Wannes Meert , Pieter Robberechts , Hendrik Blockeel

Time series analysis is critical for emerging net- work intelligent control and management functions. However, existing statistical-based and shallow machine learning models have shown limited prediction capabilities on multivariate time…

Machine Learning · Computer Science 2026-03-13 Yufeng Xin , Ethan Fan

Multivariate time series analysis is becoming an integral part of data analysis pipelines. Understanding the individual time point connections between covariates as well as how these connections change in time is non-trivial. To this aim,…

Machine Learning · Statistics 2021-02-04 Federico Ciech , Veronica Tozzo

A dynamic factor model with a mixture distribution of the loadings is introduced and studied for multivariate, possibly high-dimensional time series. The correlation matrix of the model exhibits a block structure, reminiscent of correlation…

Methodology · Statistics 2023-07-20 Shankar Bhamidi , Dhruv Patel , Vladas Pipiras , Guorong Wu

This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by…

Methodology · Statistics 2025-08-28 Carson McKee , Maria Kalli

The last decades have not only been characterized by an explosive growth of data, but also an increasing appreciation of data as a valuable resource. Their value comes with the ability to extract meaningful patterns that are of economic,…

Machine Learning · Statistics 2020-02-27 Jonas I. Liechti , Sebastian Bonhoeffer

Causal inference in a nonlinear system of multivariate timeseries is instrumental in disentangling the intricate web of relationships among variables, enabling us to make more accurate predictions and gain deeper insights into real-world…

Machine Learning · Computer Science 2024-01-17 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

Trend change prediction in complex systems with a large number of noisy time series is a problem with many applications for real-world phenomena, with stock markets as a notoriously difficult to predict example of such systems. We approach…

Computational Finance · Quantitative Finance 2018-11-30 Ben Moews , J. Michael Herrmann , Gbenga Ibikunle

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

Two numerical methods are proposed for detection of coupling between multiple time series generated by deterministic nonlinear systems. The first detects interdependence or the existence of coupling between time series. The second…

Chaotic Dynamics · Physics 2025-05-07 Timothy Sauer , George Sugihara

In this paper, we study time-varying graphical models based on data measured over a temporal grid. Such models are motivated by the needs to describe and understand evolving interacting relationships among a set of random variables in many…

Machine Learning · Statistics 2018-04-12 Jilei Yang , Jie Peng

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

We present a new method for forecasting systems of multiple interrelated time series. The method learns the forecast models together with discovering leading indicators from within the system that serve as good predictors improving the…

Machine Learning · Statistics 2017-10-03 Magda Gregorova , Alexandros Kalousis , Stephane Marchand-Maillet

We investigate the problem of discovering and modeling regime shifts in an ecosystem comprising multiple time series known as co-evolving time series. Regime shifts refer to the changing behaviors exhibited by series at different time…

Machine Learning · Computer Science 2022-05-16 Etienne Gael Tajeuna , Mohamed Bouguessa , Shengrui Wang

Causality defines the relationship between cause and effect. In multivariate time series field, this notion allows to characterize the links between several time series considering temporal lags. These phenomena are particularly important…

Methodology · Statistics 2023-06-01 Antonin Arsac , Aurore Lomet , Jean-Philippe Poli

Many important problems can be modeled as a system of interconnected entities, where each entity is recording time-dependent observations or measurements. In order to spot trends, detect anomalies, and interpret the temporal dynamics of…

Machine Learning · Computer Science 2017-06-13 David Hallac , Youngsuk Park , Stephen Boyd , Jure Leskovec

We address the problem of modeling and prediction of a set of temporal events in the context of intelligent transportation systems. To leverage the information shared by different events, we propose a multi-task learning framework. We…

Machine Learning · Computer Science 2017-12-25 Boris Chidlovskii

Counterfactual learning has become promising for understanding and modeling causality in complex and dynamic systems. This paper presents a novel method for counterfactual learning in the context of multivariate time series analysis and…

Machine Learning · Computer Science 2026-03-03 Gianlucca Zuin , Adriano Veloso

We propose a new unsupervised learning method for clustering a large number of time series based on a latent factor structure. Each cluster is characterized by its own cluster-specific factors in addition to some common factors which impact…

Statistics Theory · Mathematics 2022-09-09 Bo Zhang , Guangming Pan , Qiwei Yao , Wang Zhou

We propose a novel framework to investigate lead-lag relationships between two financial assets. Our framework bridges a gap between continuous-time modeling based on Brownian motion and the existing wavelet methods for lead-lag analysis…

Methodology · Statistics 2018-11-13 Takaki Hayashi , Yuta Koike