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We introduce a method for automated temporal segmentation of human motion data into distinct actions and compositing motion primitives based on self-similar structures in the motion sequence. We use neighbourhood graphs for the partitioning…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Björn Krüger , Anna Vögele , Tobias Willig , Angela Yao , Reinhard Klein , Andreas Weber

Disentangling complex causal relationships is important for accurate detection of anomalies. In multivariate time series analysis, dynamic interactions among data variables over time complicate the interpretation of causal relationships.…

Machine Learning · Computer Science 2025-10-14 Wonah Kim , Jeonghyeon Park , Dongsan Jun , Jungkyu Han , Sejin Chun

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

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

Graphs are commonly used to represent objects, such as images and text, for pattern classification. In a dynamic world, an object may continuously evolve over time, and so does the graph extracted from the underlying object. These changes…

Data Structures and Algorithms · Computer Science 2017-06-14 Haishuai Wang

We propose a novel graphical model selection (GMS) scheme for high-dimensional stationary time series or discrete time process. The method is based on a natural generalization of the graphical LASSO (gLASSO), introduced originally for GMS…

Machine Learning · Statistics 2023-07-19 Alexander Jung , Gabor Hannak , Norbert Görtz

Time series are difficult to monitor, summarize and predict. Segmentation organizes time series into few intervals having uniform characteristics (flatness, linearity, modality, monotonicity and so on). For scalability, we require fast…

Databases · Computer Science 2007-05-23 Daniel Lemire

In recent years, there has been a surge in the prevalence of high- and multi-dimensional temporal data across various scientific disciplines. These datasets are characterized by their vast size and challenging potential for analysis. Such…

Social and Information Networks · Computer Science 2023-11-21 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Real-world problems, for example in climate applications, often require causal reasoning on spatially gridded time series data or data with comparable structure. While the underlying system is often believed to behave similarly at different…

Machine Learning · Computer Science 2026-02-16 Martin Rabel , Jakob Runge

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

Machine Learning · Computer Science 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

Difference-in-Differences (DiD) is a widely used research design that often relies on a conditional parallel trends (CPT) assumption. In contrast to settings with unconfoundedness, where causal graphs provide powerful frameworks for…

Econometrics · Economics 2026-04-15 Michael C. Knaus , Henri Pfleiderer

With the recent advances in technology, a wide range of systems continue to collect a large amount of data over time and thus generate time series. Time-Series Anomaly Detection (TSAD) is an important task in various time-series…

Machine Learning · Computer Science 2025-05-01 Thi Kieu Khanh Ho , Ali Karami , Narges Armanfard

Gynaecologists and obstetricians visually interpret cardiotocography (CTG) traces using the International Federation of Gynaecology and Obstetrics (FIGO) guidelines to assess the wellbeing of the foetus during antenatal care. This approach…

Machine Learning · Computer Science 2020-08-25 Paul Fergus , Carl Chalmers , Casimiro Curbelo Montanez , Denis Reilly , Paulo Lisboa , Beth Pineles

This paper introduces a new approach for Multivariate Time Series forecasting that jointly infers and leverages relations among time series. Its modularity allows it to be integrated with current univariate methods. Our approach allows to…

Machine Learning · Computer Science 2022-03-08 Victor Garcia Satorras , Syama Sundar Rangapuram , Tim Januschowski

Self-awareness is the key capability of autonomous systems, e.g., autonomous driving network, which relies on highly efficient time series forecasting algorithm to enable the system to reason about the future state of the environment, as…

Machine Learning · Computer Science 2023-05-18 Minh-Thanh Bui , Duc-Thinh Ngo , Demin Lu , Zonghua Zhang

This paper studies linear reconstruction of partially observed functional data which are recorded on a discrete grid. We propose a novel estimation approach based on approximate factor models with increasing rank taking into account…

Statistics Theory · Mathematics 2024-05-22 Maximilian Ofner , Siegfried Hörmann

Dealing with missing values and incomplete time series is a labor-intensive, tedious, inevitable task when handling data coming from real-world applications. Effective spatio-temporal representations would allow imputation methods to…

Machine Learning · Computer Science 2022-02-11 Andrea Cini , Ivan Marisca , Cesare Alippi

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

Human communication is multimodal in nature; it is through multiple modalities such as language, voice, and facial expressions, that opinions and emotions are expressed. Data in this domain exhibits complex multi-relational and temporal…

Computation and Language · Computer Science 2021-04-30 Jianing Yang , Yongxin Wang , Ruitao Yi , Yuying Zhu , Azaan Rehman , Amir Zadeh , Soujanya Poria , Louis-Philippe Morency

Complex multivariate time series arise in many fields, ranging from computer vision to robotics or medicine. Often we are interested in the independent underlying factors that give rise to the high-dimensional data we are observing. While…

Machine Learning · Statistics 2021-02-11 Simon Bing , Vincent Fortuin , Gunnar Rätsch
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