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The problem of attributing a deep network's prediction to its \emph{input/base} features is well-studied. We introduce the notion of \emph{conductance} to extend the notion of attribution to the understanding the importance of \emph{hidden}…

Machine Learning · Computer Science 2018-06-01 Kedar Dhamdhere , Mukund Sundararajan , Qiqi Yan

Suppression of electron current $ \Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction…

Strongly Correlated Electrons · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa

Neural fields (NeFs) have recently emerged as a state-of-the-art method for encoding spatio-temporal signals of various modalities. Despite the success of NeFs in reconstructing individual signals, their use as representations in downstream…

Machine Learning · Computer Science 2024-12-13 Miltiadis Kofinas , Samuele Papa , Efstratios Gavves

The interplay between excitatory and inhibitory neurons imparts rich functions of the brain. To understand the underlying synaptic mechanisms, a fundamental approach is to study the dynamics of excitatory and inhibitory conductances of each…

Neurons and Cognition · Quantitative Biology 2017-10-17 Songting Li , Nan Liu , Xiaohui Zhang , Douglas Zhou , David Cai

Blood oxygenation level-dependent (BOLD) functional magnetic resonance imaging (fMRI) is widely used to visualize brain activation regions by detecting hemodynamic responses associated with increased metabolic demand. While alternative MRI…

Quantitative Methods · Quantitative Biology 2024-09-13 Kyu-Jin Jung , Chuanjiang Cui , Soo-Hyung Lee , Chan-Hee Park , Ji-Won Chun , Dong-Hyun Kim

Neurons integrate synaptic inputs and convert them to action potential output at electrically distant locations. The computational power of a neuron is hence enhanced by subcellular compartmentalization and nonlinear synaptic integration,…

Neurons and Cognition · Quantitative Biology 2024-08-13 Jaeyoung Yoon

How neurons process their inputs crucially determines the dynamics of biological and artificial neural networks. In such neural and neural-like systems, synaptic input is typically considered to be merely transmitted linearly or sublinearly…

Biological Physics · Physics 2017-06-01 David Breuer , Marc Timme , Raoul-Martin Memmesheimer

The structure of the axon-dendrite connections of neurons of the brain creates a rich spatial structure in which provided various combinations of signals surrounding neurons. Structure of dendritic trees and shape of dendritic spines allow…

Artificial Intelligence · Computer Science 2014-07-25 Alexey Redozubov

The response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonant ones show subthreshold oscillations. We investigate how do…

Neurons and Cognition · Quantitative Biology 2009-11-10 T. Verechtchaguina , L. Schimansky-Geier , I. M. Sokolov

We present the theoretical analysis of the steady state currents and density distributions of particles moving with Langevin dynamics, under the effects of an external potential displaced at constant rate. The Dynamic Density Functional…

Soft Condensed Matter · Physics 2009-11-10 F. Penna , P. Tarazona

How can neural networks learn to efficiently represent complex and high-dimensional inputs via local plasticity mechanisms? Classical models of representation learning assume that input weights are learned via pairwise Hebbian-like…

Neurons and Cognition · Quantitative Biology 2022-10-04 Fabian Alexander Mikulasch , Lucas Rudelt , Viola Priesemann

We have studied the pinning force density Fp of YNi_2B_2C superconductors for various field orientations. We observe anisotropies both between the c-axis and the basal plane and within the plane, that cannot be explained by usual mass…

Superconductivity · Physics 2009-10-31 A. V. Silhanek , J. R. Thompson , L. Civale , D. McK. Paul , C. V. Tomy

The threshold voltage for action potential generation is a key regulator of neuronal signal transduction, yet the mechanism of its dynamic variation is still not well described. In this paper, we propose that threshold phenomena can be…

Neurons and Cognition · Quantitative Biology 2019-11-22 Longfei Wang , Hengtong Wang , Lianchun Yu , Yong Chen

Sparse random networks contain structures that can be considered as diluted feed-forward networks. Modeling of cortical circuits has shown that feed-forward structures, if strongly pronounced compared to the embedding random network, enable…

Neurons and Cognition · Quantitative Biology 2013-08-16 Sven Jahnke , Marc Timme , Raoul-Martin Memmesheimer

Superconducting electronic circuits have much to offer with regard to neuromorphic hardware. Superconducting quantum interference devices (SQUIDs) can serve as an active element to perform the thresholding operation of a neuron's soma.…

Neural and Evolutionary Computing · Computer Science 2022-01-05 Bryce A. Primavera , Jeffrey M. Shainline

Our understanding of biological neuronal networks has profoundly influenced the development of artificial neural networks (ANNs). However, neurons utilized in ANNs differ considerably from their biological counterparts, primarily due to the…

Neural and Evolutionary Computing · Computer Science 2025-04-09 Xundong Wu , Pengfei Zhao , Zilin Yu , Lei Ma , Ka-Wa Yip , Huajin Tang , Gang Pan , Poirazi Panayiota , Tiejun Huang

Cortical microcircuits are very complex networks, but they are composed of a relatively small number of stereotypical motifs. Hence one strategy for throwing light on the computational function of cortical microcircuits is to analyze…

Neurons and Cognition · Quantitative Biology 2017-05-23 Zeno Jonke , Robert Legenstein , Stefan Habenschuss , Wolfgang Maass

Much of the information processing performed by a neuron occurs in the dendritic tree. For neural systems using light for communication, it is advantageous to convert signals to the electronic domain at synaptic terminals so dendritic…

Neural and Evolutionary Computing · Computer Science 2019-04-08 Jeffrey M. Shainline

This paper develops a quantitatively accurate first-principles description for the frequency and the linewidth of collective electronic excitations in inhomogeneous weakly disordered systems. A finite linewidth in general has intrinsic and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. A. Ullrich , G. Vignale

Spike timing dependent plasticity (STDP) is believed to play an important role in shaping the structure of neural circuits. Here we show that STDP generates effective interactions between synapses of different neurons, which were neglected…

Neurons and Cognition · Quantitative Biology 2016-08-25 Neta Ravid Tannenbaum , Yoram Burak
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