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In a temporal network, the presence and activity of nodes and links can change through time. To describe temporal networks we introduce the notion of temporal quantities. We define the addition and multiplication of temporal quantities in a…

Social and Information Networks · Computer Science 2020-02-06 Vladimir Batagelj , Selena Praprotnik

We consider a decentralized optimization problem for networks affected by communication delays. Examples of such networks include collaborative machine learning, sensor networks, and multi-agent systems. To mimic communication delays, we…

Machine Learning · Computer Science 2024-10-03 Tomas Ortega , Hamid Jafarkhani

Contracting tensor networks is often computationally demanding. Well-designed contraction sequences can dramatically reduce the contraction cost. We explore the performance of simulated annealing and genetic algorithms, two common discrete…

Neural and Evolutionary Computing · Computer Science 2021-03-10 Frank Schindler , Adam S. Jermyn

Tabular data is arguably one of the most commonly used data structures in various practical domains, including finance, healthcare and e-commerce. The inherent heterogeneity allows tabular data to store rich information. However, based on a…

Machine Learning · Computer Science 2023-06-01 Kuan-Yu Chen , Ping-Han Chiang , Hsin-Rung Chou , Ting-Wei Chen , Tien-Hao Chang

We describe a new sampling-based method to determine cuts in an undirected graph. For a graph (V, E), its cycle space is the family of all subsets of E that have even degree at each vertex. We prove that with high probability, sampling the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-22 David Pritchard , Ramakrishna Thurimella

Temporal graphs are graphs whose topology is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph is represented by assigning a set of integer time-labels to every edge $e$ of $G$, indicating the…

Discrete Mathematics · Computer Science 2020-09-30 George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Viktor Zamaraev , Philipp Zschoche

Many common graph data mining tasks take the form of identifying dense subgraphs (e.g. clustering, clique-finding, etc). In biological applications, the natural model for these dense substructures is often a complete bipartite graph…

Data Structures and Algorithms · Computer Science 2019-01-28 Kyle Kloster , Blair D. Sullivan , Andrew van der Poel

Triangle counting in a graph is a fundamental problem with wide-ranging applications. It is crucial for understanding graph structure and serves as a basis for more advanced graph analytics. One key application is truss decomposition, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Prabhat Kumar Chand , Apurba Das , Anisur Rahaman Molla

Time series analysis is critical for emerging net- work intelligent control and management functions. However, existing statistical-based and shallow machine learning models have shown limited prediction capabilities on multivariate time…

Machine Learning · Computer Science 2026-03-13 Yufeng Xin , Ethan Fan

We present a data structure that can maintain a simple planar graph under edge contractions in linear total time. The data structure supports adjacency queries and provides access to neighbor lists in $O(1)$ time. Moreover, it can report…

Data Structures and Algorithms · Computer Science 2017-07-03 Jacob Holm , Giuseppe F. Italiano , Adam Karczmarz , Jakub Łącki , Eva Rotenberg , Piotr Sankowski

We study subgraph counting over fully dynamic graphs, which undergo edge insertions and deletions. Counting subgraphs is a fundamental problem in graph theory with numerous applications across various fields, including database theory,…

Data Structures and Algorithms · Computer Science 2025-04-16 Sepehr Assadi , Vihan Shah

Temporal action recognition always depends on temporal action proposal generation to hypothesize actions and algorithms usually need to process very long video sequences and output the starting and ending times of each potential action in…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Tian Wang , Shiye Lei , Youyou Jiang , Choi Chang , Hichem Snoussi , Guangcun Shan

Graph Neural Networks (GNNs) have shown remarkable success in learning from graph-structured data. However, their application to directed graphs (digraphs) presents unique challenges, primarily due to the inherent asymmetry in node…

Machine Learning · Computer Science 2025-05-16 Wei Zhuo , Han Yu , Guang Tan , Xiaoxiao Li

We introduce the Non-commutative Subset Convolution - a convolution of functions useful when working with determinant-based algorithms. In order to compute it efficiently, we take advantage of Clifford algebras, a generalization of…

Data Structures and Algorithms · Computer Science 2018-08-13 Michał Włodarczyk

We introduce a temporal model for reasoning on disjunctive metric constraints on intervals and time points in temporal contexts. This temporal model is composed of a labeled temporal algebra and its reasoning algorithms. The labeled…

Artificial Intelligence · Computer Science 2011-06-01 F. Barber

The performance of graph algorithms is often measured in terms of the number of traversed edges per second (TEPS). However, this performance metric is inadequate for a graph operation such as exact triangle counting. In triangle counting,…

Performance · Computer Science 2021-09-30 Mark P. Blanco , Scott McMillan , Tze Meng Low

Truncated Backpropagation Through Time (truncated BPTT) is a widespread method for learning recurrent computational graphs. Truncated BPTT keeps the computational benefits of Backpropagation Through Time (BPTT) while relieving the need for…

Neural and Evolutionary Computing · Computer Science 2017-05-24 Corentin Tallec , Yann Ollivier

Modern transportation network modeling increasingly involves the integration of diverse methodologies including sensor-based forecasting, reinforcement learning, classical flow optimization, and demand modeling that have traditionally been…

Optimization and Control · Mathematics 2025-07-08 Xuesong , Zhou , Taehooie Kim , Mostafa Ameli , Henan , Zhu , Yu- dai Honma , Ram M. Pendyala

Faster pathfinding in time-dependent transport networks is an important and challenging problem in navigation systems. There are two main types of transport networks: road networks for car driving and public transport route network. The…

Data Structures and Algorithms · Computer Science 2024-10-24 Andrii Rohovyi , Peter J. Stuckey , Toby Walsh

Bipartite graphs characterize relationships between two different sets of entities, like actor-movie, user-item, and author-paper. The butterfly, a 4-vertices 4-edges (2,2)-biclique, is the simplest cohesive motif in a bipartite graph and…

Data Structures and Algorithms · Computer Science 2026-04-21 Xinwei Cai , Xiangyu Ke , Kai Wang , Lu Chen , Tianming Zhang , Qing Liu , Yunjun Gao