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We consider a statistical model for the problem of finding subgraphs with specified topology in an otherwise random graph. This task plays an important role in the analysis of social and biological networks. In these types of networks,…

Statistics Theory · Mathematics 2017-10-24 Hamid Javadi , Andrea Montanari

Feature space is an environment where data points are vectorized to represent the original dataset. Reconstructing a good feature space is essential to augment the AI power of data, improve model generalization, and increase the…

Machine Learning · Computer Science 2024-11-11 Wangyang Ying , Haoyue Bai , Kunpeng Liu , Yanjie Fu

Motifs are patterns of subgraphs of complex networks. We studied the impact of such patterns of connectivity on the level of correlated, or synchronized, spiking activity among pairs of cells in a recurrent network model of integrate and…

Neurons and Cognition · Quantitative Biology 2015-06-05 Yu Hu , James Trousdale , Kresimir Josic , Eric Shea-Brown

In this study, we present a method of pattern mining based on network theory that enables the identification of protein structures or complexes from synthetic volume densities, without the knowledge of predefined templates or human biases…

Quantitative Methods · Quantitative Biology 2022-10-18 August George , Doo Nam Kim , Trevor Moser , Ian T. Gildea , James E. Evans , Margaret S. Cheung

Sequence discovery tools play a central role in several fields of computational biology. In the framework of Transcription Factor binding studies, motif finding algorithms of increasingly high performance are required to process the big…

Quantitative Methods · Quantitative Biology 2014-08-27 Nicolò Colombo , Nikos Vlassis

This paper proposes graph analysis methods to fully automate the fault location identification task in power distribution systems. The proposed methods take basic unordered data from power distribution systems as input, including branch…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Ali Shakeri Kahnamouei , Saeed Lotfifard

This paper leverages the framework of algorithms-with-predictions to design data structures for two fundamental dynamic graph problems: incremental topological ordering and cycle detection. In these problems, the input is a directed graph…

Data Structures and Algorithms · Computer Science 2024-02-20 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

Machine learning models for functional materials design require precise and informative representations of material systems. Common representations encode atomic composition and bonding but often do not include local coordination…

Materials Science · Physics 2026-03-17 Anoj Aryal , Weiyi Gong , Huta Banjade , Qimin Yan

Until two decades ago, industrial networks were deemed secure due to physical separation from public networks. An abundance of successful attacks proved that assumption wrong. Intrusion detection solutions for industrial application need to…

Cryptography and Security · Computer Science 2019-07-10 Simon D. Duque Anton , Daniel Fraunholz , Hans Dieter Schotten

Topological network motifs represent functional relationships within and between regulatory and protein-protein interaction networks. Enriched motifs often aggregate into self-contained units forming functional modules. Theoretical models…

Molecular Networks · Quantitative Biology 2011-09-12 Tom Michoel , Anagha Joshi , Bruno Nachtergaele , Yves Van de Peer

In the last decade, network science has shed new light both on the structural (anatomical) and on the functional (correlations in the activity) connectivity among the different areas of the human brain. The analysis of brain networks has…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Mario Chavez , Vito Latora

Many data-rich industries are interested in the efficient discovery and modelling of structures underlying large data sets, as it allows for the fast triage and dimension reduction of large volumes of data embedded in high dimensional…

Algebraic Topology · Mathematics 2019-09-30 Yossi Bokor , Daniel Grixti-Cheng , Markus Hegland , Stephen Roberts , Katharine Turner

A widely-used operation on graphs is local clustering, i.e., extracting a well-characterized community around a seed node without the need to process the whole graph. Recently local motif clustering has been proposed: it looks for a local…

Social and Information Networks · Computer Science 2022-05-13 Adil Chhabra , Marcelo Fonseca Faraj , Christian Schulz

Conventionally, pairwise relationships between nodes are considered to be the fundamental building blocks of complex networks. However, over the last decade the overabundance of certain sub-network patterns, so called motifs, has attracted…

Physics and Society · Physics 2015-01-28 Marco Winkler , Joerg Reichardt

The topological (or graph) structures of real-world networks are known to be predictive of multiple dynamic properties of the networks. Conventionally, a graph structure is represented using an adjacency matrix or a set of hand-crafted…

Social and Information Networks · Computer Science 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei

This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

Machine Learning · Computer Science 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon

Recently, there has been a growing concern about the overload status of the power grid networks, and the increasing possibility of cascading failures. Many researchers have studied these networks to provide design guidelines for more robust…

Physics and Society · Physics 2012-12-27 Sakshi Pahwa , Caterina Scoglio , Noel Schulz

The study of motifs in networks can help researchers uncover links between the structure and function of networks in biology, sociology, economics, and many other areas. Empirical studies of networks have identified feedback loops,…

Physics and Society · Physics 2021-05-12 Alice C. Schwarze , Mason A. Porter

Link prediction is one of the central problems in graph mining. However, recent studies highlight the importance of higher-order network analysis, where complex structures called motifs are the first-class citizens. We first show that…

Vector data is prevalent across business and scientific applications, and its popularity is growing with the proliferation of learned embeddings. Vector data collections often reach billions of vectors with thousands of dimensions, thus,…

Information Retrieval · Computer Science 2025-09-09 Ilias Azizi , Karima Echihab , Themis Palpanas , Vassilis Christophides
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