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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

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

We look at the internal structure of neural networks which is usually treated as a black box. The easiest and the most comprehensible thing to do is to look at a binary classification and try to understand the approach a neural network…

Machine Learning · Computer Science 2023-01-25 Tushar Pandey

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

When studying a complex system it is often useful to think of the system as a network of interacting units. One can then ask if some properties of the entire network are already explained by a small part of the network - a network motif. A…

Populations and Evolution · Quantitative Biology 2025-09-03 Melanie Habermann , Ashkaan K. Fahimipour , Justin D. Yeakel , Thilo Gross

We present an approach to study functional segregation and integration in the living brain based on community structure decomposition determined by maximum modularity. We demonstrate this method with a network derived from functional…

Neurons and Cognition · Quantitative Biology 2007-05-23 Adam J. Schwarz , Alessandro Gozzi , Angelo Bifone

Deep phenotyping is an emerging conceptual paradigm and experimental approach that seeks to measure many aspects of phenotypes and link them to understand the underlying biology. Successful deep phenotyping has mostly been applied in…

Quantitative Methods · Quantitative Biology 2019-04-03 Nan Xu , Dhaval S. Patel , Hang Lu

We develop an artificial neural circuit for contour tracking and navigation inspired by the chemotaxis of the nematode Caenorhabditis elegans. In order to harness the computational advantages spiking neural networks promise over their…

Neural and Evolutionary Computing · Computer Science 2014-10-30 Shibani Santurkar , Bipin Rajendran

In the study of biological networks, one of the major challenges is to understand the relationships between network structure and dynamics. In this paper, we model in vitro cortical neuronal cultures as stochastic dynamical systems and…

Neurons and Cognition · Quantitative Biology 2022-05-04 Chumin Sun , K. C. Lin , C. Y. Yeung , Emily S. C. Ching , Yu-Ting Huang , Pik-Yin Lai , C. K. Chan

Neuronal circuits of the cerebral cortex are the structural basis of mammalian cognition. The same qualitative components and connectivity motifs are repeated across functionally specialized cortical areas and mammalian species, suggesting…

Neurons and Cognition · Quantitative Biology 2025-07-04 Arno Granier , Katharina A Wilmes , Mihai A Petrovici , Walter Senn

Although it seems counter-intuitive, categorical colours do not exist as external physical entities but are very much the product of our brains. Our cortical machinery segments the world and associate objects to specific colour terms, which…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Arash Akbarinia , C. Alejandro Parraga

A central idea in understanding brains and building artificial intelligence is that structure determines function. Yet, how the brain's complex structure arises from a limited set of genetic instructions remains a key question. The ultra…

Neurons and Cognition · Quantitative Biology 2026-01-28 Xingyu Liu , Yubin Li , Guozhang Chen

Color Appearance Models are biological networks that consist of a cascade of linear+nonlinear layers that modify the linear measurements at the retinal photo-receptors leading to an internal (nonlinear) representation of color that…

Neurons and Cognition · Quantitative Biology 2022-10-13 Jesus Malo

The network density matrix formalism allows for describing the dynamics of information on top of complex structures and it has been successfully used to analyze from system's robustness to perturbations to coarse graining multilayer…

Physics and Society · Physics 2023-05-03 Arsham Ghavasieh , Manlio De Domenico

The predictive power of neural networks often costs model interpretability. Several techniques have been developed for explaining model outputs in terms of input features; however, it is difficult to translate such interpretations into…

Machine Learning · Computer Science 2017-08-17 Benjamin J. Lengerich , Sandeep Konam , Eric P. Xing , Stephanie Rosenthal , Manuela Veloso

Gene regulatory networks arise in all living cells, allowing the control of gene expression patterns. The study of their topology has revealed that certain subgraphs of interactions or "motifs" appear at anomalously high frequencies. We ask…

Molecular Networks · Quantitative Biology 2015-03-19 Z. Burda , A. Krzywicki , O. C. Martin , M. Zagorski

The integration and transmission of information in the brain are dependent on the interplay between structural and dynamical properties. Implicit in any pursuit aimed at understanding neural dynamics from appropriate sets of mathematically…

Neurons and Cognition · Quantitative Biology 2020-06-30 Joshua M. Roldan , Sebastian Pardo G. , Vivek Kurien George , Gabriel A. Silva

The neural dynamics of the nematode C. elegans are experimentally low-dimensional and correspond to discrete behavioral states, where previous modeling work has found neural proxies for some of these states. Experimental results further…

Neurons and Cognition · Quantitative Biology 2015-09-04 James Kunert , Eli Shlizerman , Andrew Walker , J. Nathan Kutz

In the course of the growth of the Internet and due to increasing availability of data, over the last two decades, the field of network science has established itself as an own area of research. With quantitative scientists from computer…

Social and Information Networks · Computer Science 2016-06-14 Marco Winkler

From biosystem to complex system,the study of life is always an important area. Inspired by hyper-cycle theory about the evolution of non-life system, we study the metabolism, self-replication and mutation behavior in the Internet based on…

Networking and Internet Architecture · Computer Science 2016-11-07 Jinfa Wang , Hai Zhao , Xiao Liu