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We develop a theory describing the transient transmission through noisy qubit-resonator systems with quadratic interactions as are found in superconducting and nanomechanical resonators coupled to solid-state qubits. After generalizing the…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Philipp M. Mutter , Guido Burkard

The characterization of network and biophysical properties from neural spiking activity is an important goal in neuroscience. A framework that provides unbiased inference on causal synaptic interaction and single neural properties has been…

Neurons and Cognition · Quantitative Biology 2024-05-27 Kevin S. Chen , Ying-Jen Yang

We describe a simple method to experimentally determine the frequency dependencies of the per-unit-length resistance and conductance of transmission lines. The experiment is intended as a supplement to the classic measurement of the…

Physics Education · Physics 2020-12-25 J. S. Bobowski

We present a complete mean field theory for a balanced state of a simple model of an orientation hypercolumn. The theory is complemented by a description of a numerical procedure for solving the mean-field equations quantitatively. With our…

Neurons and Cognition · Quantitative Biology 2007-05-23 A. Lerchner , G. Sterner , J. Hertz , M. Ahmadi

The noisy leaky integrate-and-fire (NLIF) model describes the voltage configurations of neuron networks with an interacting many-particles system at a microscopic level. When simulating neuron networks of large sizes, computing a…

Numerical Analysis · Mathematics 2023-05-11 Ziyu Du , Yantong Xie , Zhennan Zhou

We present a theoretical framework for a quantized memristive Leaky Integrate-and-Fire (LIF) neuron, uniting principles from neuromorphic engineering and open quantum systems. Starting from a classical memristive LIF circuit, we apply…

Quantum Physics · Physics 2026-02-09 Dean Brand , Domenica Dibenedetto , Francesco Petruccione

The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a stochastic differential equation system. When the total…

Analysis of PDEs · Mathematics 2018-06-07 María J. Cáceres , Pierre Roux , Delphine Salort , Ricarda Schneider

Neuromorphic computing offers an energy-efficient alternative to conventional deep learning accelerators for real-time time-series processing. However, many edge applications, such as wireless sensing and audio recognition, generate…

Machine Learning · Computer Science 2025-06-26 Dengyu Wu , Jiechen Chen , H. Vincent Poor , Bipin Rajendran , Osvaldo Simeone

Short-term changes in efficacy have been postulated to enhance the ability of synapses to transmit information between neurons, and within neuronal networks. Even at the level of connections between single neurons, direct confirmation of…

Neurons and Cognition · Quantitative Biology 2012-04-30 Pat Scott , Anna I. Cowan , Christian Stricker

Projects are finite terminating endeavors with distinctive outcomes, usually, occurring under transient conditions. Nevertheless, most estimation, planning, and scheduling approaches overlook the dynamics of project-based systems in…

Dynamical Systems · Mathematics 2017-11-06 Ricardo Antunes , Vicente A. González , Kenneth Walsh

Single neuron models have a long tradition in computational neuroscience. Detailed biophysical models such as the Hodgkin-Huxley model as well as simplified neuron models such as the class of integrate-and-fire models relate the input…

Neurons and Cognition · Quantitative Biology 2016-11-02 Simone Carlo Surace , Jean-Pascal Pfister

Neurons display spontaneous spiking (in the absence of stimulus signals) as well as a characteristic response to time-dependent external stimuli. In a simple but important class of stochastic neuron models, the integrate-and-fire model with…

Neurons and Cognition · Quantitative Biology 2025-03-11 Kolja Klett , Benjamin Lindner

A population of firing neurons is expected to carry not only mean firing rate but also its fluctuation and synchrony among neurons. In order to examine this possibility, we have studied responses of neuronal ensembles to three kinds of…

Disordered Systems and Neural Networks · Physics 2008-02-18 Hiode Hasegawa

Feedforward networks (FFN) are ubiquitous structures in neural systems and have been studied to understand mechanisms of reliable signal and information transmission. In many FFNs, neurons in one layer have intrinsic properties that are…

Neurons and Cognition · Quantitative Biology 2020-10-26 Dongqi Han , Erik De Schutter , Sungho Hong

We study the dynamics of networks with inhibitory and excitatory leaky-integrate-and-fire neurons with short-term synaptic plasticity in the presence of depressive and facilitating mechanisms. The dynamics is analyzed by a Heterogeneous…

Disordered Systems and Neural Networks · Physics 2016-01-20 M. di Volo , R. Burioni , M. Casartelli , R. Livi , A. Vezzani

This work focuses on the identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by unknown transfer functions according to a known topology, some nodes are subject to external…

Optimization and Control · Mathematics 2020-10-12 Antoine Legat , Julien M. Hendrickx

We examine what can and what cannot be revealed by the available DAMA dataset by computing the relevant amplitude transfer function (the ratio of the amplitude of the detected signal to that of an input signal) and the corresponding power…

High Energy Physics - Experiment · Physics 2013-08-29 Peter A. Sturrock , Jeffrey Scargle , Ephraim Fischbach , Jere H. Jenkins , Jonathan Nistor

In neuroscience, functional brain connectivity describes the connectivity between brain regions that share functional properties. Neuroscientists often characterize it by a time series of covariance matrices between functional measurements…

Methodology · Statistics 2019-07-09 Zhenhua Lin , Dehan Kong , Qiang Sun

Spiking Neural Networks (SNNs) offer a promising, biologically inspired approach for processing spatiotemporal data, particularly for time series forecasting. However, conventional neuron models like the Leaky Integrate-and-Fire (LIF)…

Machine Learning · Computer Science 2025-03-10 Shibo Feng , Wanjin Feng , Xingyu Gao , Peilin Zhao , Zhiqi Shen

Traditionally, transfer functions have been designed manually for each operation in a program, instruction by instruction. In such a setting, a transfer function describes the semantics of a single instruction, detailing how a given…

Logic in Computer Science · Computer Science 2015-07-01 Jörg Brauer , Andy King