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Tensor decomposition is a powerful computational tool for multiway data analysis. Many popular tensor decomposition approaches---such as the Tucker decomposition and CANDECOMP/PARAFAC (CP)---amount to multi-linear factorization. They are…

机器学习 · 计算机科学 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

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…

机器学习 · 计算机科学 2024-01-17 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

Multivariate time series modeling and prediction problems are abundant in many machine learning application domains. Accurate interpretation of such prediction outcomes from a machine learning model that explicitly captures temporal…

机器学习 · 计算机科学 2020-10-27 Tryambak Gangopadhyay , Sin Yong Tan , Zhanhong Jiang , Rui Meng , Soumik Sarkar

Data series classification is an important and challenging problem in data science. Explaining the classification decisions by finding the discriminant parts of the input that led the algorithm to some decisions is a real need in many…

机器学习 · 计算机科学 2022-07-26 Paul Boniol , Mohammed Meftah , Emmanuel Remy , Themis Palpanas

In multivariate time series analysis, understanding the underlying causal relationships among variables is often of interest for various applications. Directed acyclic graphs (DAGs) provide a powerful framework for representing causal…

统计方法学 · 统计学 2025-07-30 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

Calcium imaging has become a fundamental neural imaging technique, aiming to recover the individual activity of hundreds of neurons in a cortical region. Current methods (mostly matrix factorization) are aimed at detecting neurons in the…

应用统计 · 统计学 2019-02-11 Gal Mishne , Adam S. Charles

Spatiotemporal time series are usually collected via monitoring sensors placed at different locations, which usually contain missing values due to various failures, such as mechanical damages and Internet outages. Imputing the missing…

机器学习 · 计算机科学 2024-10-24 Baoyu Jing , Dawei Zhou , Kan Ren , Carl Yang

This paper introduces a new causal structure learning method for nonstationary time series data, a common data type found in fields such as finance, economics, healthcare, and environmental science. Our work builds upon the constraint-based…

统计金融 · 定量金融 2024-06-10 Agathe Sadeghi , Achintya Gopal , Mohammad Fesanghary

Temporal alignment of sequences is a fundamental challenge in many applications, such as computer vision and bioinformatics, where local time shifting needs to be accounted for. Misalignment can lead to poor model generalization, especially…

机器学习 · 计算机科学 2025-01-10 Afek Steinberg , Ran Eisenberg , Ofir Lindenbaum

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

物理与社会 · 物理学 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

统计方法学 · 统计学 2023-02-13 Lujia Bai , Weichi Wu

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

机器学习 · 计算机科学 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

Causal structure discovery in complex dynamical systems is an important challenge for many scientific domains. Although data from (interventional) experiments is usually limited, large amounts of observational time series data sets are…

机器学习 · 计算机科学 2021-10-19 Bart Bussmann , Jannes Nys , Steven Latré

Discovering causal relationships in complex multivariate time series is a fundamental scientific challenge. Traditional methods often falter, either by relying on restrictive linear assumptions or on conditional independence tests that…

机器学习 · 计算机科学 2025-08-05 Gian Marco Paldino , Gianluca Bontempi

Time series data is a collection of chronological observations which is generated by several domains such as medical and financial fields. Over the years, different tasks such as classification, forecasting, and clustering have been…

Understanding causal relationships in multivariate time series is essential for predicting and controlling dynamic systems in fields like economics, neuroscience, and climate science. However, existing causal discovery methods often assume…

机器学习 · 计算机科学 2025-02-20 Abdellah Rahmani , Pascal Frossard

Many multivariate time series anomaly detection frameworks have been proposed and widely applied. However, most of these frameworks do not consider intrinsic relationships between variables in multivariate time series data, thus ignoring…

机器学习 · 计算机科学 2025-08-11 Falih Gozi Febrinanto , Kristen Moore , Chandra Thapa , Mujie Liu , Vidya Saikrishna , Jiangang Ma , Feng Xia

We introduce Contrastive Multivariate Singular Spectrum Analysis, a novel unsupervised method for dimensionality reduction and signal decomposition of time series data. By utilizing an appropriate background dataset, the method transforms a…

机器学习 · 统计学 2018-11-01 Abdi-Hakin Dirie , Abubakar Abid , James Zou

This work is devoted to a comprehensive analysis of topological data analysis fortime series classification. Previous works have significant shortcomings, such aslack of large-scale benchmarking or missing state-of-the-art methods. In this…

机器学习 · 计算机科学 2020-10-13 Polina Pilyugina , Rodrigo Rivera-Castro , Eugeny Burnaev

Multivariate time series data typically comprises two distinct modalities: variable semantics and sampled numerical observations. Traditional time series models treat variables as anonymous statistical signals, overlooking the rich semantic…

机器学习 · 计算机科学 2025-08-18 Yifei Sun , Junming Liu , Yirong Chen , Xuefeng Yan , Ding Wang