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Related papers: Structual Vulnerability of the Nematode Worm Neura…

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We investigate joint graph inference for the chemical and electrical connectomes of the \textit{Caenorhabditis elegans} roundworm. The \textit{C.elegans} connectomes consist of $253$ non-isolated neurons with known functional attributes,…

Applications · Statistics 2015-08-06 Li Chen , Joshua T. Vogelstein , Vince Lyzinski , Carey E. Priebe

Graph spectral analysis can yield meaningful embeddings of graphs by providing insight into distributed features not directly accessible in nodal domain. Recent efforts in graph signal processing have proposed new decompositions-e.g., based…

Machine Learning · Computer Science 2019-03-07 Miljan Petrović , Thomas A. W. Bolton , Maria Giulia Preti , Raphaël Liégeois , Dimitri Van De Ville

Complex networks can often be decomposed into less complex sub-networks whose structures can give hints about the functional organization of the network as a whole. However, these structural motifs can only tell one part of the functional…

Molecular Networks · Quantitative Biology 2015-05-20 Jifeng Qian , Arend Hintze , Christoph Adami

There is renewed interest in modeling and understanding the nervous system of the nematode $\textit{Caenorhabditis elegans}$ ($\textit{C. elegans}$), as this small model system provides a path to bridge the gap between nervous system…

Neurons and Cognition · Quantitative Biology 2025-05-20 Quilee Simeon , Anshul Kashyap , Konrad P Kording , Edward S Boyden

Graphs are pervasive in our everyday lives, with relevance to biology, the internet, and infrastructure, as well as numerous other applications. It is thus necessary to have an understanding as to how quickly a graph disintegrates, whether…

Social and Information Networks · Computer Science 2025-12-25 Jeremie Fish , Mahesh Banavar , Erik Bollt

Despite recent interest in reconstructing neuronal networks, complete wiring diagrams on the level of individual synapses remain scarce and the insights into function they can provide remain unclear. Even for Caenorhabditis elegans, whose…

Neurons and Cognition · Quantitative Biology 2011-02-07 Lav R. Varshney , Beth L. Chen , Eric Paniagua , David H. Hall , Dmitri B. Chklovskii

Biological networks, such as cellular metabolic pathways or networks of corticocortical connections in the brain, are intricately organized, yet remarkably robust toward structural damage. Whereas many studies have investigated specific…

Neurons and Cognition · Quantitative Biology 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

{\it Caenorhabditis elegans} nematode worms are the only animals with the known detailed neural connectivity diagram, well characterized genomics, and relatively simple quantifiable behavioral output. With this in mind, many researchers…

Neurons and Cognition · Quantitative Biology 2019-10-17 Jan Karbowski

The nervous system of the nematode soil worm Caenorhabditis elegans exhibits remarkable complexity despite the worm's small size. A general challenge is to better understand the relationship between neural organization and neural activity…

Neurons and Cognition · Quantitative Biology 2020-10-30 Alejandro Morales , Tom Froese

The brain is one of the most studied and highly complex systems in the biological world. It is the information center behind all vertebrate and most invertebrate life, and thus has become a major focus in current research. While many of…

Neurons and Cognition · Quantitative Biology 2015-03-19 Daniel J. Kelleher , Tyler M. Reese , Dylan T. Yott , Antoni Brzoska

Given the inner complexity of the human nervous system, insight into the dynamics of brain activity can be gained from understanding smaller and simpler organisms, such as the nematode C. Elegans. The behavioural and structural biology of…

Neurons and Cognition · Quantitative Biology 2021-07-15 Gonçalo Mestre , Ruxandra Barbulescu , Arlindo L. Oliveira , L. Miguel Silveira

The pivotal quality of proximity graphs is connectivity, i.e. all nodes in the graph are connected to one another either directly or via intermediate nodes. These types of graphs are robust, i.e., they are able to function well even if they…

Physics and Society · Physics 2016-12-28 Christoph Norrenbrock , Oliver Melchert , Alexander K. Hartmann

Recent studies have shown that Graph Convolutional Networks (GCNs) are vulnerable to adversarial attacks on the graph structure. Although multiple works have been proposed to improve their robustness against such structural adversarial…

Machine Learning · Computer Science 2021-09-14 Liang Chen , Jintang Li , Qibiao Peng , Yang Liu , Zibin Zheng , Carl Yang

We study the structural properties of the neural network of the C.elegans (worm) from a directed graph point of view. The Google matrix analysis is used to characterize the neuron connectivity structure and node classifications are…

Physics and Society · Physics 2014-05-07 Vivek Kandiah , Dima L. Shepelyansky

Probing the developing neural circuitry in Caenorhabditis elegans has enhanced our understanding of nervous systems. The C. elegans connectome, like those of other species, is characterized by a rich club of densely connected neurons…

Neurons and Cognition · Quantitative Biology 2021-08-26 Alec Helm , Ann S. Blevins , Danielle S. Bassett

Although a number of studies have explored deep learning in neuroscience, the application of these algorithms to neural systems on a microscopic scale, i.e. parameters relevant to lower scales of organization, remains relatively novel.…

Machine Learning · Computer Science 2020-10-20 Paul Y. Wang , Sandalika Sapra , Vivek Kurien George , Gabriel A. Silva

In the past two decades, significant advances have been made in understanding the structural and functional properties of biological networks, via graph-theoretic analysis. In general, most graph-theoretic studies are conducted in the…

Physics and Society · Physics 2013-10-21 Michelle Rudolph-Lilith , Lyle E. Muller

In this paper, we study the crucial elements of complex networks, namely nodes, and edges and their properties such as their community structure, which play an important role in dictating the robustness of the network towards structural…

Social and Information Networks · Computer Science 2021-02-04 V. Parimi , A. Pal , S. Ruj , P. Kumaraguru , T. Chakraborty

Graph Neural Networks (GNNs) have achieved promising results in tasks such as node classification and graph classification. However, recent studies reveal that GNNs are vulnerable to backdoor attacks, posing a significant threat to their…

Machine Learning · Computer Science 2025-03-13 Zhiwei Zhang , Minhua Lin , Junjie Xu , Zongyu Wu , Enyan Dai , Suhang Wang

Directed graphs are widely used in modelling of nonsymmetric relations in various sciences and engineering disciplines. We discuss invariants of strongly connected directed graphs - minimal number of vertices or edges necessary to remove to…

Discrete Mathematics · Computer Science 2016-10-21 Peteris Daugulis
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