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In this work, we introduce a novel approach based on algebraic topology to enhance graph convolution and attention modules by incorporating local topological properties of the data. To do so, we consider the framework of sheaf neural…

Machine Learning · Computer Science 2023-11-20 Gabriele Cesa , Arash Behboodi

Exploring meaningful structural regularities embedded in networks is a key to understanding and analyzing the structure and function of a network. The node-attribute information can help improve such understanding and analysis. However,…

Social and Information Networks · Computer Science 2021-12-08 Wei Liu , Zhenhai Chang , Caiyan Jia , Yimei Zheng

A full power flow (PF) model is a complete representation of the physical power network. Traditional model-based methods rely on the full PF model to implement power flow analysis. In practice, however, some PF model parameters can be…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Yuting Hu , Jinjun Xiong

Existing graph generative models often face a critical trade-off between sample quality and generation speed. We introduce Autoregressive Noisy Filtration Modeling (ANFM), a flexible autoregressive framework that addresses both challenges.…

Machine Learning · Computer Science 2026-02-17 Markus Krimmel , Jenna Wiens , Karsten Borgwardt , Dexiong Chen

With the development of new remote sensing technology, large or even massive spatial datasets covering the globe become available. Statistical analysis of such data is challenging. This article proposes a semiparametric approach to model…

Methodology · Statistics 2019-10-24 Pulong Ma , Emily L. Kang

We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of topologically embedded graphs is non-restrictive…

Other Condensed Matter · Physics 2015-03-19 Tomaso Aste , Ruggero Gramatica , T. Di Matteo

Simulation-based testing of autonomous driving systems (ADS) must uncover realistic and diverse failures in dense, heterogeneous traffic. However, existing search-based seeding methods (e.g., genetic algorithms) struggle in high-dimensional…

Software Engineering · Computer Science 2026-04-22 Linfeng Liang , Xiao Cheng , Tsong Yueh Chen , Xi Zheng

Combinatorial and topological structures, such as graphs, simplicial complexes, and cell complexes, form the foundation of geometric and topological deep learning (GDL and TDL) architectures. These models aggregate signals over such…

Machine Learning · Computer Science 2026-05-28 Chuan-Shen Hu

In modern industrial and logistics environments, the rapid expansion of fast delivery services has heightened the demand for storage systems that combine high efficiency with increased density. Multi-deep autonomous vehicle storage and…

Machine Learning · Computer Science 2025-10-10 Funing Li , Yuan Tian , Ruben Noortwyck , Jifeng Zhou , Liming Kuang , Robert Schulz

This paper addresses the problem of online network topology inference for expanding graphs from a stream of spatiotemporal signals. Online algorithms for dynamic graph learning are crucial in delay-sensitive applications or when changes in…

Machine Learning · Computer Science 2024-09-16 Samuel Rey , Bishwadeep Das , Elvin Isufi

In this paper we analyze the effect of a non-trivial topology on the dynamics of the so-called Naming Game, a recently introduced model which addresses the issue of how shared conventions emerge spontaneously in a population of agents. We…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Andrea Baronchelli , Alain Barrat , Vittorio Loreto

Urban trajectories play a crucial role in modeling urban dynamics and supporting various smart city applications. However, privacy concerns restrict access to large-scale and high-quality trajectory datasets. Trajectory generation provides…

Artificial Intelligence · Computer Science 2026-05-29 Silin Zhou , Chenhao Wang , Yuntao Wen , Shuo Shang , Lisi Chen , Panos Kalnis

This works explores and illustrates recent results developed by the author in field of dynamical network analysis. The considered approach is blind, i.e., no a priori assumptions on the interconnected systems are available. Moreover, the…

Systems and Control · Computer Science 2015-03-19 Giacomo Innocenti

Recommender Systems (RSs) are used to provide users with personalized item recommendations and help them overcome the problem of information overload. Currently, recommendation methods based on deep learning are gaining ground over…

Information Retrieval · Computer Science 2023-01-19 Nikzad Chizari , Niloufar Shoeibi , María N. Moreno-García

Taking into account the regional characteristics of intrinsic and extrinsic properties of space is an essential issue in architectural design and urban renewal, which is often achieved step by step using image and graph-based GANs. However,…

Artificial Intelligence · Computer Science 2025-11-25 Yayan Qiu , Sean Hanna

Recent advances of generative learning models are accompanied by the growing interest in federated learning (FL) based on generative adversarial network (GAN) models. In the context of FL, GAN can capture the underlying client data…

Machine Learning · Computer Science 2023-08-25 Achintha Wijesinghe , Songyang Zhang , Zhi Ding

This study focuses on the challenge of predicting network traffic within complex topological environments. It introduces a spatiotemporal modeling approach that integrates Graph Convolutional Networks (GCN) with Gated Recurrent Units (GRU).…

Machine Learning · Computer Science 2025-05-13 Nan Jiang , Wenxuan Zhu , Xu Han , Weiqiang Huang , Yumeng Sun

Understanding the spatial networks formed by the trajectories of mobile users can be beneficial to applications ranging from epidemiology to local search. Despite the potential for impact in a number of fields, several aspects of human…

Social and Information Networks · Computer Science 2015-03-18 Anastasios Noulas , Blake Shaw , Renaud Lambiotte , Cecilia Mascolo

The topological structure of the power grid plays a key role in the reliable delivery of electricity and price settlement in the electricity market. Incorporation of new energy sources and loads into the grid over time has led to its…

Social and Information Networks · Computer Science 2015-03-02 Deepjyoti Deka , Sriram Vishwanath

Citation and coauthor networks offer an insight into the dynamics of scientific progress. We can also view them as representations of a causal structure, a logical process captured in a graph. From a causal perspective, we can ask questions…

Digital Libraries · Computer Science 2016-12-09 Peter Wittek , Sándor Darányi , Gustaf Nelhans
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