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Persistent homology is a cornerstone of topological data analysis, offering a multiscale summary of topology with robustness to nuisance transformations, such as rotations and small deformations. Persistent homology has seen broad use…

Methodology · Statistics 2025-11-19 Zitian Wu , Arkaprava Roy , Leo L. Duan

Scalable graph neural networks (GNNs) have emerged as a promising technique, which exhibits superior predictive performance and high running efficiency across numerous large-scale graph-based web applications. However, (i) Most scalable…

Machine Learning · Computer Science 2024-02-12 Xunkai Li , Jingyuan Ma , Zhengyu Wu , Daohan Su , Wentao Zhang , Rong-Hua Li , Guoren Wang

Conformal prediction (CP) provides a distribution-free approach to uncertainty quantification with finite-sample guarantees. However, applying CP to graph neural networks (GNNs) remains challenging as the combinatorial nature of graphs…

Machine Learning · Computer Science 2026-05-11 Peyman Baghershahi , Fangxin Wang , Debmalya Mandal , Sourav Medya

In the management of computer network systems, the service function chaining (SFC) modules play an important role by generating efficient paths for network traffic through physical servers with virtualized network functions (VNF). To…

Artificial Intelligence · Computer Science 2020-11-18 DongNyeong Heo , Doyoung Lee , Hee-Gon Kim , Suhyun Park , Heeyoul Choi

The scale-free (SF) structure that commonly appears in many complex networks is one of the hot topics related to social, biological, and information sciences. The self-organized generation mechanisms are expected to be useful for efficient…

Physics and Society · Physics 2007-05-23 Yukio Hayashi

In topology optimization using deep learning, load and boundary conditions represented as vectors or sparse matrices often miss the opportunity to encode a rich view of the design problem, leading to less than ideal generalization results.…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 Zhenguo Nie , Tong Lin , Haoliang Jiang , Levent Burak Kara

The topology of artificial neural networks has a significant effect on their performance. Characterizing efficient topology is a field of promising research in Artificial Intelligence. However, it is not a trivial task and it is mainly…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Fabien Furfaro , Avner Bar-Hen , Geoffroy Berthelot

Generative systems are becoming a crucial part of current design practice. There exist gaps however, between the digital processes, field data and designer's input. To solve this problem, multiple processes were developed in order to…

Graphics · Computer Science 2023-12-22 Demircan Tas , Osman Sumer

Graph neural networks (GNN) have achieved remarkable success in a wide range of tasks by encoding features combined with topology to create effective representations. However, the fundamental problem of understanding and analyzing how graph…

Machine Learning · Computer Science 2024-04-12 Kailong Wu , Yule Xie , Jiaxin Ding , Yuxiang Ren , Luoyi Fu , Xinbing Wang , Chenghu Zhou

Two main families of node feature augmentation schemes have been explored for enhancing GNNs: random features and spectral positional encoding. Surprisingly, however, there is still no clear understanding of the relation between these two…

Machine Learning · Computer Science 2023-07-20 Moshe Eliasof , Fabrizio Frasca , Beatrice Bevilacqua , Eran Treister , Gal Chechik , Haggai Maron

The efficiency of multi-agent systems driven by large language models (LLMs) largely hinges on their communication topology. However, designing an optimal topology is a non-trivial challenge, as it requires balancing competing objectives…

Computation and Language · Computer Science 2026-05-19 Eric Hanchen Jiang , Mengting Li , Guancheng Wan , Sophia Yin , Yuchen Wu , Xiao Liang , Xinfeng Li , Yizhou Sun , Wei Wang , Kai-Wei Chang , Ying Nian Wu

Machine learning assisted optimal power flow (OPF) aims to reduce the computational complexity of these non-linear and non-convex constrained optimization problems by consigning expensive (online) optimization to offline training. The…

Machine Learning · Computer Science 2022-04-28 Thomas Falconer , Letif Mones

Efficient traffic management is crucial for maintaining urban mobility, especially in densely populated areas where congestion, accidents, and delays can lead to frustrating and expensive commutes. However, existing prediction methods face…

Machine Learning · Computer Science 2023-05-25 Xuhong Wang , Ding Wang , Liang Chen , Yilun Lin

Growing graphs describe a multitude of developing processes from maturing brains to expanding vocabularies to burgeoning public transit systems. Each of these growing processes likely adheres to proliferation rules that establish an…

Quantitative Methods · Quantitative Biology 2020-05-27 Ann Sizemore Blevins , Danielle S. Bassett

Investigation of the degree of personalization in federated learning algorithms has shown that only maximizing the performance of the global model will confine the capacity of the local models to personalize. In this paper, we advocate an…

Machine Learning · Computer Science 2020-11-09 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

Link prediction, as a frontier task in complex network topology analysis, aims to infer the existence of latent links between node pairs based on observed nodes and structural information. We propose an ensemble link prediction model that…

Physics and Society · Physics 2025-12-09 Zi-Xuan Jin , Jun-Fan Yi , Ke-Ke Shang

Topological mapping offers a compact and robust representation for navigation, but progress in the field is hindered by the lack of standardized evaluation metrics, datasets, and protocols. Existing systems are assessed using different…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Jiaming Wang , Diwen Liu , Jizhuo Chen , Harold Soh

Accurately predicting road networks from satellite images requires a global understanding of the network topology. We propose to capture such high-level information by introducing a graph-based framework that simulates the addition of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Sotiris Anagnostidis , Aurelien Lucchi , Thomas Hofmann

The Internet is composed of networks, called Autonomous Systems (or, ASes), interconnected to each other, thus forming a large graph. While both the AS-graph is known and there is a multitude of data available for the ASes (i.e., node…

Networking and Internet Architecture · Computer Science 2022-10-26 Dimitrios Panteleimon Giakatos , Sofia Kostoglou , Pavlos Sermpezis , Athena Vakali

Additive manufacturing (AM) enables enormous freedom for design of complex structures. However, the process-dependent limitations that result in discrepancies between as-designed and as-manufactured shapes are not fully understood. The…

Computational Geometry · Computer Science 2019-05-30 Morad Behandish , Amir M. Mirzendehdel , Saigopal Nelaturi
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