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Visualizing changes over time is fundamental to learning from the past and anticipating the future. However, temporal semantics can be complicated, and existing visualization tools often struggle to accurately represent these complexities.…

Human-Computer Interaction · Computer Science 2025-10-30 Cynthia A. Huang , Mitchell O'Hara-Wild , Rob J. Hyndman , Matthew Kay

Temporal data, obtained in the setting where it is only possible to observe one time point per experiment, is widely used in different research fields, yet remains insufficiently addressed from the statistical point of view. Such data often…

Methodology · Statistics 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

Cross-correlation analysis is a powerful tool for understanding the mutual dynamics of time series. This study introduces a new method for predicting the future state of synchronization of the dynamics of two financial time series. To this…

Statistical Finance · Quantitative Finance 2022-11-03 Mostafa Shabani , Martin Magris , George Tzagkarakis , Juho Kanniainen , Alexandros Iosifidis

What is a time-varying graph, a time-varying topological space, or, more generally, a mathematical structure that evolves over time? In this work, we lay the foundations for a general theory of temporal data by introducing categories of…

Category Theory · Mathematics 2026-04-22 Benjamin Merlin Bumpus , James Fairbanks , Martti Karvonen , Wilmer Leal , Frédéric Simard

An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

Machine Learning · Computer Science 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

Spatio-temporal forecasting is an open research field whose interest is growing exponentially. In this work we focus on creating a complex deep neural framework for spatio-temporal traffic forecasting with comparatively very good…

Machine Learning · Computer Science 2020-10-22 Rodrigo de Medrano , José L. Aznarte

Calendars are broadly used in society to display temporal information, and events. This paper describes a new R package with functionality to organize and display temporal data, collected on sub-daily resolution, into a calendar layout. The…

Applications · Statistics 2018-10-24 Earo Wang , Dianne Cook , Rob J Hyndman

The relevance and importance of contextualizing data analytics is described. Qualitative characteristics might form the context of quantitative analysis. Topics that are at issue include: contrast, baselining, secondary data sources,…

Artificial Intelligence · Computer Science 2023-06-22 Fionn Murtagh , Mohsen Farid

Reasoning about graphs evolving over time is a challenging concept in many domains, such as bioinformatics, physics, and social networks. We consider a common case in which edges can be short term interactions (e.g., messaging) or long term…

Machine Learning · Statistics 2020-06-22 Boris Knyazev , Carolyn Augusta , Graham W. Taylor

As data grows in size and complexity, finding frameworks which aid in interpretation and analysis has become critical. This is particularly true when data comes from complex systems where extensive structure is available, but must be drawn…

Machine Learning · Computer Science 2021-05-24 Henry Kvinge , Brett Jefferson , Cliff Joslyn , Emilie Purvine

Temporal networks are ubiquitous and evolve over time by the addition, deletion, and changing of links, nodes, and attributes. Although many relational datasets contain temporal information, the majority of existing techniques in relational…

Artificial Intelligence · Computer Science 2011-11-23 Ryan A. Rossi , Jennifer Neville

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

We present a new comprehensive theory for explaining, exploring, and using pattern as a visual variable in visualization. Although patterns have long been used for data encoding and continue to be valuable today, their conceptual…

Human-Computer Interaction · Computer Science 2026-01-30 Tingying He , Jason Dykes , Petra Isenberg , Tobias Isenberg

In this paper, we propose a novel Spatial Balance Attention block for spatiotemporal forecasting. To strike a balance between obeying spatial proximity and capturing global correlation, we partition the spatial graph into a set of subgraphs…

Machine Learning · Computer Science 2025-09-24 Hongyi Chen , Xiucheng Li , Xinyang Chen , Jing Li , Kehai Chen , Liqiang Nie

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Matrix-variate data of high dimensions are frequently observed in finance and economics, spanning extended time periods, such as the long-term data on international trade flows among numerous countries. To address potential structural…

Methodology · Statistics 2024-04-03 Bin Chen , Elynn Y. Chen , Stevenson Bolivar , Rong Chen

We present angle-uniform parallel coordinates, a data-independent technique that deforms the image plane of parallel coordinates so that the angles of linear relationships between two variables are linearly mapped along the horizontal axis…

Graphics · Computer Science 2023-04-12 Kaiyi Zhang , Liang Zhou , Lu Chen , Shitong He , Daniel Weiskopf , Yunhai Wang

Diffusion models have been widely used in time series and spatio-temporal data, enhancing generative, inferential, and downstream capabilities. These models are applied across diverse fields such as healthcare, recommendation, climate,…

Machine Learning · Computer Science 2025-12-09 Yiyuan Yang , Ming Jin , Haomin Wen , Chaoli Zhang , Yuxuan Liang , Lintao Ma , Yi Wang , Chenghao Liu , Bin Yang , Zenglin Xu , Shirui Pan , Qingsong Wen

The performance of machine learning models relies heavily on the quality of input data, yet real-world applications often face significant data-related challenges. A common issue arises when curating training data or deploying models: two…

Machine Learning · Computer Science 2025-09-24 Varun Babbar , Zhicheng Guo , Cynthia Rudin

Forecasting multivariate time series data, such as prediction of electricity consumption, solar power production, and polyphonic piano pieces, has numerous valuable applications. However, complex and non-linear interdependencies between…

Machine Learning · Computer Science 2019-09-20 Shun-Yao Shih , Fan-Keng Sun , Hung-yi Lee