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In a temporal graph the edge set dynamically changes over time according to a set of time-labels associated with each edge that indicates at which time-steps the edge is available. Two vertices are connected if there is a path connecting…

Data Structures and Algorithms · Computer Science 2025-04-24 Daniele Carnevale , Gianlorenzo D'Angelo , Martin Olsen

Spatial networks are useful for modeling geographic phenomena where spatial interaction plays an important role. To analyze the spatial networks and their internal structures, graph-based methods such as community detection have been widely…

Social and Information Networks · Computer Science 2024-11-26 Yunlei Liang , Jiawei Zhu , Wen Ye , Song Gao

Correspondence identifies relationships among objects via similarities among their components; it is ubiquitous in the analysis of spatial datasets, including images, weather maps, and computational simulations. This paper develops a novel…

Artificial Intelligence · Computer Science 2007-05-23 Chris Bailey-Kellogg , Naren Ramakrishnan

Many important phenomena in scientific fields like climate, neuroscience, and epidemiology are naturally represented as spatiotemporal gridded data with complex interactions. Inferring causal relationships from these data is a challenging…

Machine Learning · Computer Science 2025-06-17 Kun Wang , Sumanth Varambally , Duncan Watson-Parris , Yi-An Ma , Rose Yu

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

Neurons and Cognition · Quantitative Biology 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

While large volumes of unlabeled data are usually available, associated labels are often scarce. The unsupervised domain adaptation problem aims at exploiting labels from a source domain to classify data from a related, yet different,…

Machine Learning · Computer Science 2023-08-28 François Painblanc , Laetitia Chapel , Nicolas Courty , Chloé Friguet , Charlotte Pelletier , Romain Tavenard

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

Statistical Mechanics · Physics 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli

Linear Temporal Logic (LTL) provides a rigorous framework for specifying long-horizon robotic tasks, yet existing approaches face a trade-off: model-based synthesis relies on accurate labeled transition systems, whereas learning-based…

Robotics · Computer Science 2026-05-13 Ruijia Liu , Ancheng Hou , Xiang Yin

Understanding associations between paired high-dimensional longitudinal datasets is a fundamental yet challenging problem that arises across scientific domains, including longitudinal multi-omic studies. The difficulty stems from the…

Methodology · Statistics 2026-01-21 Jianbin Tan , Pixu Shi

Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unknown to us. To infer these interactions,…

Quantitative Methods · Quantitative Biology 2015-05-13 Mark A. Kramer , Uri T. Eden , Sydney S. Cash , Eric D. Kolaczyk

Complex networks represent system dynamics through the interactions of a set of anomalous time series. Consider the problem of computing correlations for highly correlated pairs of time series across sliding windows. Efficiently computing…

Physics and Society · Physics 2023-04-25 Yunlong Xu , Peizhen Yang , Zhengbin Tao

Graph neural networks have become an important tool for modeling structured data. In many real-world systems, intricate hidden information may exist, e.g., heterogeneity in nodes/edges, static node/edge attributes, and spatiotemporal…

Machine Learning · Computer Science 2020-10-12 Yucheng Lin , Huiting Hong , Xiaoqing Yang , Xiaodi Yang , Pinghua Gong , Jieping Ye

By extracting spatial and temporal characteristics in one network, the two-stream ConvNets can achieve the state-of-the-art performance in action recognition. However, such a framework typically suffers from the separately processing of…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Yemin Shi , Yonghong Tian , Yaowei Wang , Tiejun Huang

Measures of linear dependence (coherence) and nonlinear dependence (phase synchronization) between any number of multivariate time series are defined. The measures are expressed as the sum of lagged dependence and instantaneous dependence.…

Methodology · Statistics 2007-11-12 Roberto D. Pascual-Marqui

Domain adaptation on time series data is an important but challenging task. Most of the existing works in this area are based on the learning of the domain-invariant representation of the data with the help of restrictions like MMD.…

Machine Learning · Computer Science 2021-06-18 Ruichu Cai , Jiawei Chen , Zijian Li , Wei Chen , Keli Zhang , Junjian Ye , Zhuozhang Li , Xiaoyan Yang , Zhenjie Zhang

Small Earth data are geoscience observations with limited short-term monitoring variability, providing sparse but meaningful measurements, typically exhibiting spatiotemporal correlations. Spatiotemporal forecasting on such data is crucial…

Machine Learning · Computer Science 2025-10-13 Yuting Yang , Gang Mei , Zhengjing Ma , Nengxiong Xu , Jianbing Peng

Identifying communities from temporal networks facilitates the understanding of potential dynamic relationships among entities, which has already received extensive applications. However, existing methods primarily rely on lower-order…

Social and Information Networks · Computer Science 2024-10-22 Huihui Yang , Chunxue Zhu , Longlong Lin , Pingpeng Yuan

Latent-space interpolation is commonly used to demonstrate the generalization ability of deep latent variable models. Various algorithms have been proposed to calculate the best trajectory between two encodings in the latent space. In this…

Machine Learning · Computer Science 2021-10-14 Lu Mi , Tianxing He , Core Francisco Park , Hao Wang , Yue Wang , Nir Shavit

Spatial navigation in mammals is based on building a mental representation of their environment---a cognitive map. However, both the nature of this cognitive map and its underpinning in neural structures and activity remains vague. A key…

Neurons and Cognition · Quantitative Biology 2016-03-22 A. Babichev , S. Cheng , Yu. Dabaghian

A temporal graph can be represented by a graph with an edge labelling, such that an edge is present in the network if and only if the edge is assigned the corresponding time label. A journey is a labelled path in a temporal graph such that…

Computational Complexity · Computer Science 2023-12-13 Esteban Christiann , Eric Sanlaville , Jason Schoeters