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To find out the role of the wiring cost in the organization of the neural network of the nematode \textit{Caenorhapditis elegans} (\textit{C. elegans}), we build the neuronal map of \textit{C. elegans} based on geometrical positions of…

Neurons and Cognition · Quantitative Biology 2009-11-11 Yong-Yeol Ahn , Beom Jun Kim , Hawoong Jeong

Network flow is a powerful mathematical framework to systematically explore the relationship between structure and function in biological, social, and technological networks. We introduce a new pipelining model of flow through networks…

Neural and Evolutionary Computing · Computer Science 2019-11-04 Lavanya Marla , Lav R. Varshney , Devavrat Shah , Nirmal A. Prakash , Michael E. Gale

The organization of the connectivity between mammalian cortical areas has become a major subject of study, because of its important role in scaffolding the macroscopic aspects of animal behavior and intelligence. In this study we present a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luciano da F Costa , Marcus Kaiser , Claus C Hilgetag

The high computational complexity and increasing parameter counts of deep neural networks pose significant challenges for deployment in resource-constrained environments, such as edge devices or real-time systems. To address this, we…

Machine Learning · Computer Science 2025-06-17 Laura Erb , Tommaso Boccato , Alexandru Vasilache , Juergen Becker , Nicola Toschi

In recent times, an increasing number of researchers have been devoted to utilizing deep neural networks for end-to-end flight navigation. This approach has gained traction due to its ability to bridge the gap between perception and…

Robotics · Computer Science 2024-10-11 Zhichao Han , Long Xu , Liuao Pei , Fei Gao

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

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

Disordered Systems and Neural Networks · Physics 2015-05-19 Markus Brede

Brain-inspired event-based neuromorphic processing systems have emerged as a promising technology in particular for bio-medical circuits and systems. However, both neuromorphic and biological implementations of neural networks have critical…

Neural and Evolutionary Computing · Computer Science 2022-08-30 Vanessa R. C. Leite , Zhe Su , Adrian M. Whatley , Giacomo Indiveri

Among the several topological properties of complex networks, the shortest path represents a particularly important characteristic because of its potential impact not only on other topological properties, but mainly for its influence on…

Social and Information Networks · Computer Science 2020-03-30 Guilherme S. Domingues , Cesar H. Comin , Luciano da F. Costa

Given a network infrastructure (e.g., data-center or on-chip-network) and a distribution on the source-destination requests, the expected path (route) length is an important measure for the performance, efficiency and power consumption of…

Networking and Internet Architecture · Computer Science 2012-07-06 Chen Avin , Michael Borokhovich , Bernhard Haeupler , Zvi Lotker

Recent advances demonstrate that irregularly wired neural networks from Neural Architecture Search (NAS) and Random Wiring can not only automate the design of deep neural networks but also emit models that outperform previous manual…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-06 Byung Hoon Ahn , Jinwon Lee , Jamie Menjay Lin , Hsin-Pai Cheng , Jilei Hou , Hadi Esmaeilzadeh

Both in electronics and biology, physical implementations of neural networks have severe energy and memory constraints. We propose a hardware-software co-design approach for minimizing the use of memory resources in multi-core neuromorphic…

Neural and Evolutionary Computing · Computer Science 2022-03-02 Vanessa R. C. Leite , Zhe Su , Adrian M. Whatley , Giacomo Indiveri

The human brain is organized in functional modules. Such an organization presents a basic conundrum: modules ought to be sufficiently independent to guarantee functional specialization and sufficiently connected to bind multiple processors…

Biological Physics · Physics 2015-05-27 Lazaros K. Gallos , Hernan A. Makse , Mariano Sigman

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

The links between optimal control of dynamical systems and neural networks have proved beneficial both from a theoretical and from a practical point of view. Several researchers have exploited these links to investigate the stability of…

Optimization and Control · Mathematics 2019-02-08 Panos Parpas , Corey Muir

One of the biggest challenges in biology is to understand how activity at the cellular level of neurons, as a result of their mutual interactions, leads to the observed behavior of an organism responding to a variety of environmental…

Neurons and Cognition · Quantitative Biology 2010-03-09 Raj Kumar Pan , Nivedita Chatterjee , Sitabhra Sinha

Neural networks are increasingly used as surrogates in optimization problems to replace computationally expensive models. However, embedding ReLU neural networks in mathematical programs introduces significant computational challenges,…

Optimization and Control · Mathematics 2026-04-03 Giacomo Lastrucci , Tanuj Karia , Victor Schulte , Dominik Bongartz , Artur M. Schweidtmann

The connectome, or the entire connectivity of a neural system represented by network, ranges various scales from synaptic connections between individual neurons to fibre tract connections between brain regions. Although the modularity they…

Neurons and Cognition · Quantitative Biology 2014-10-01 Jinseop S. Kim , Marcus Kaiser

The organization of interactions in complex systems can be described by networks connecting different units. These graphs are useful representations of the local and global complexity of the underlying systems. The origin of their…

Physics and Society · Physics 2015-09-30 Luís F Seoane , Ricard Solé

We propose a protocol optimization technique that is applicable to both weighted or unweighted graphs. Our aim is to explore by how much a small variation around the Shortest Path or Optimal Path protocols can enhance protocol performance.…

Physics and Society · Physics 2015-05-19 Jose J. Ramasco , Marta S. de la Lama , Eduardo Lopez , Stefan Boettcher
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