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This work presents the current collection of mathematical models related to neural networks and proposes a new family of such with extended structure and dynamics in order to attain a selection of cognitive capabilities. It starts by…

Neural and Evolutionary Computing · Computer Science 2023-01-10 Plamen Dimitrov

This paper has been withdrawn by the authors.

Information Theory · Computer Science 2011-03-01 M. Zeeshan Shakir , Tariq S. Durrani , Mohamed-Slim Alouini

This article is taken out.

Artificial Intelligence · Computer Science 2007-05-23 Prashant

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

Computational Complexity · Computer Science 2012-12-03 Bhaskar DasGupta , Lakshmi Kaligounder

This paper has been withdrawn by the author, since one of the key results duplicates existing work, as pointed out by a reader. I am currently revising the manuscript.

Statistical Mechanics · Physics 2007-05-23 Eric J. Friedman

This paper introduces a class of stochastic models of interacting neurons with emergent dynamics similar to those seen in local cortical populations, and compares them to very simple reduced models driven by the same mean excitatory and…

Neurons and Cognition · Quantitative Biology 2017-11-07 Yao Li , Logan Chariker , Lai-Sang Young

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high level of biological detail in terms of numbers and synapses. For…

A fundamental challenge in networked systems is detection and removal of suspected malicious nodes. In reality, detection is always imperfect, and the decision about which potentially malicious nodes to remove must trade off false positives…

Social and Information Networks · Computer Science 2022-04-05 Sixie Yu , Yevgeniy Vorobeychik

Sometimes it is not enough for a DNN to produce an outcome. For example, in applications such as healthcare, users need to understand the rationale of the decisions. Therefore, it is imperative to develop algorithms to learn models with…

Machine Learning · Computer Science 2019-01-29 Yinpeng Dong , Fan Bao , Hang Su , Jun Zhu

The paper is being withdrawn since the authors felt that the submission is a little premature after a careful reading by some of the experts in this field.

Statistical Mechanics · Physics 2010-12-21 Animesh Mukherjee , Monojit Choudhury , Niloy Ganguly

This has been withdrawn by the authors.

Symplectic Geometry · Mathematics 2008-12-23 Weiping Li , Peter Vermeire

We investigate the dynamics of two models of biological networks with purely suppressive interactions between the units; species interacting via niche competition and neurons via inhibitory synaptic coupling. In both of these cases,…

Disordered Systems and Neural Networks · Physics 2015-08-12 David A. Kessler , Herbert Levine

The emerging field at the intersection of quantitative biology, network modeling, and control theory has enjoyed significant progress in recent years. This Special Issue brings together a selection of papers on complementary approaches to…

Molecular Networks · Quantitative Biology 2018-07-10 Reka Albert , John Baillieul , Adilson E. Motter

A fundamental function of cortical circuits is the integration of information from different sources to form a reliable basis for behavior. While animals behave as if they optimally integrate information according to Bayesian probability…

Neurons and Cognition · Quantitative Biology 2023-09-22 Jakob Jordan , João Sacramento , Willem A. M. Wybo , Mihai A. Petrovici , Walter Senn

Dale's principle implies that biological neural networks are composed of neurons that are either excitatory or inhibitory. While the number of possible architectures of such Daleian networks is exponentially smaller than non-Daleian ones,…

Neurons and Cognition · Quantitative Biology 2022-10-13 Adam Haber , Elad Schneidman

Neural networks are composed of neurons and synapses, which are responsible for learning in a slow adaptive dynamical process. Here we experimentally show that neurons act like independent anisotropic multiplex hubs, which relay and mute…

Neurons and Cognition · Quantitative Biology 2017-07-21 Roni Vardi , Amir Goldental , Anton Sheinin , Shira Sardi , Ido Kanter

This paper has been withdrawn.

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrej E. Inopin , Jay R. Yablon

Despite vast research in adversarial examples, the root causes of model susceptibility are not well understood. Instead of looking at attack-specific robustness, we propose a notion that evaluates the sensitivity of individual neurons in…

Machine Learning · Computer Science 2020-06-11 Anshuman Suri , David Evans

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

Biological neural networks continue to inspire breakthroughs in neural network performance. And yet, one key area of neural computation that has been under-appreciated and under-investigated is biologically plausible, energy-efficient…

Neural and Evolutionary Computing · Computer Science 2023-03-22 Kai Malcolm , Josue Casco-Rodriguez
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