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Classical graphical modeling of multivariate random vectors uses graphs to encode conditional independence. In graphical modeling of multivariate stochastic processes, graphs may encode so-called local independence analogously. If some…

Statistics Theory · Mathematics 2023-02-27 Søren Wengel Mogensen

Large continuous-time Markov chains with exponentially small transition rates arise in modeling complex systems in physics, chemistry and biology. We propose a constructive graph-algorithmic approach to determine the sequence of critical…

Probability · Mathematics 2017-02-01 Tingyue Gan , Maria Cameron

We derive new discrete event simulation algorithms for marked time point processes. The main idea is to couple a special structure, namely the associated local independence graph, as defined by Didelez arXiv:0710.5874, with the activity…

Computation · Statistics 2021-03-05 Cyrille Mascart , Alexandre Muzy , Patricia Reynaud-bouret

Dynamic Scene Graph Generation (DSGG) focuses on identifying visual relationships within the spatial-temporal domain of videos. Conventional approaches often employ multi-stage pipelines, which typically consist of object detection,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Guan Wang , Zhimin Li , Qingchao Chen , Yang Liu

Graph Neural Networks (GNNs) have demonstrated remarkable success in modeling complex relationships in graph-structured data. A recent innovation in this field is the family of Differential Equation-Inspired Graph Neural Networks (DE-GNNs),…

Machine Learning · Computer Science 2024-01-23 Moshe Eliasof , Eldad Haber , Eran Treister , Carola-Bibiane Schönlieb

Noninvasive brain computer interfaces (BCI), and more specifically Electroencephalography (EEG) based systems for intent detection need to compensate for the low signal to noise ratio of EEG signals. In many applications, the temporal…

Human-Computer Interaction · Computer Science 2017-03-09 Seyed Sadegh Mohseni Salehi , Mohammad Moghadamfalahi , Hooman Nezamfar , Marzieh Haghighi , Deniz Erdogmus

Graphical models are ubiquitous for summarizing conditional relations in multivariate data. In many applications involving multivariate time series, it is of interest to learn an interaction graph that treats each individual time series as…

Statistics Theory · Mathematics 2025-09-01 Anirban Bhattacharya , Jan Johannes , Suhasini Subba Rao

In the context of inferring a Bayesian network structure (directed acyclic graph, DAG for short), we devise a non-reversible continuous time Markov chain, the ``Causal Zig-Zag sampler'', that targets a probability distribution over classes…

Machine Learning · Statistics 2024-09-12 Moritz Schauer , Marcel Wienöbst

Graph coloring is one of the most famous computational problems with applications in a wide range of areas such as planning and scheduling, resource allocation, and pattern matching. So far coloring problems are mostly studied on static…

Discrete Mathematics · Computer Science 2019-06-12 George B. Mertzios , Hendrik Molter , Viktor Zamaraev

Deep graph clustering has recently received significant attention due to its ability to enhance the representation learning capabilities of models in unsupervised scenarios. Nevertheless, deep clustering for temporal graphs, which could…

Machine Learning · Computer Science 2024-04-12 Meng Liu , Yue Liu , Ke Liang , Wenxuan Tu , Siwei Wang , Sihang Zhou , Xinwang Liu

Skeleton-based action recognition has achieved remarkable results in human action recognition with the development of graph convolutional networks (GCNs). However, the recent works tend to construct complex learning mechanisms with…

Computer Vision and Pattern Recognition · Computer Science 2025-09-15 Dongjingdin Liu , Pengpeng Chen , Miao Yao , Yijing Lu , Zijie Cai , Yuxin Tian

Graph-structured data, prevalent in domains ranging from social networks to biochemical analysis, serve as the foundation for diverse real-world systems. While graph neural networks demonstrate proficiency in modeling this type of data,…

Machine Learning · Computer Science 2024-06-21 Wei Ju , Siyu Yi , Yifan Wang , Qingqing Long , Junyu Luo , Zhiping Xiao , Ming Zhang

Graphical user interfaces (GUIs), due to their event driven nature, present a potentially unbounded space of all possible ways to interact with software. During testing it becomes necessary to effectively sample this space. In this paper we…

Software Engineering · Computer Science 2012-05-23 Stephan Arlt , Ishan Banerjee , Cristiano Bertolini , Atif M. Memon , Martin Schäf

We introduce a novel method, called Dispersion Entropy for Graph Signals, $DE_G$, as a powerful tool for analysing the irregularity of signals defined on graphs. We demonstrate the effectiveness of $DE_G$ in detecting changes in the…

Combinatorics · Mathematics 2023-04-03 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

Various coarse-grained models have been proposed to study the spreading dynamics in the network. A microscopic theory is needed to connect the spreading dynamics with the individual behaviors. In this letter, we unify the description of…

Statistical Mechanics · Physics 2021-04-14 Jin-Fu Chen , Yi-Mu Du , Hui Dong , Chang-Pu Sun

Predicting events such as political protests, flu epidemics, and criminal activities is crucial to proactively taking necessary measures and implementing required responses to address emerging challenges. Capturing contextual information…

Social and Information Networks · Computer Science 2024-04-25 Muhammed Ifte Khairul Islam , Khaled Mohammed Saifuddin , Tanvir Hossain , Esra Akbas

A model of a discrete pregeometry on a microscopic scale is introduced. This model is a finite network of finite elementary processes. The mathematical description is a d-graph that is a generalization of a graph. This is the particular…

General Relativity and Quantum Cosmology · Physics 2010-04-29 Alexey L. Krugly

Deep learning-based graph generation approaches have remarkable capacities for graph data modeling, allowing them to solve a wide range of real-world problems. Making these methods able to consider different conditions during the generation…

Machine Learning · Computer Science 2023-01-11 Faezeh Faez , Negin Hashemi Dijujin , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

Process mining is an area of research that supports discovering information about business processes from their execution event logs. The increasing amount of event logs in organizations challenges current process mining techniques, which…

Databases · Computer Science 2022-02-10 Amin Jalali

Trajectory prediction in traffic scenes involves accurately forecasting the behaviour of surrounding vehicles. To achieve this objective it is crucial to consider contextual information, including the driving path of vehicles, road…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Leon Mlodzian , Zhigang Sun , Hendrik Berkemeyer , Sebastian Monka , Zixu Wang , Stefan Dietze , Lavdim Halilaj , Juergen Luettin
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