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There is a wide range of mathematical models that describe populations of large numbers of neurons. In this article, we focus on nonlinear noisy leaky integrate-and-fire (NNLIF) models that describe neuronal activity at the level of the…

Analysis of PDEs · Mathematics 2024-12-12 María J. Cáceres , José A. Cañizo , Alejandro Ramos-Lora

We put forward a model of action-based randomization mechanisms to analyse quantitative information flow (QIF) under generic leakage functions, and under possibly adaptive adversaries. This model subsumes many of the QIF models proposed so…

Logic in Computer Science · Computer Science 2019-03-14 M. Boreale , Francesca Pampaloni

Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent…

Neurons and Cognition · Quantitative Biology 2013-06-19 Kanaka Rajan , Olivier Marre , Gašper Tkačik

The effectiveness of quantum illumination (QI) of a lossy target is investigated in a realistic setting in which the signal sequentially interacts with a noisy environment and the target. The target is considered at a temperature distinct…

Quantum Physics · Physics 2026-04-15 Shilpi Srivastava , Shubhrangshu Dasgupta

For a biological agent operating under environmental pressure, energy consumption and reaction times are of critical importance. Similarly, engineered systems are optimized for short time-to-solution and low energy-to-solution…

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

In this work, we examine fundamental elements of spiking neural networks (SNNs) as well as how to tune them. Concretely, we focus on two different foundational neuronal units utilized in SNNs -- the leaky integrate-and-fire (LIF) and the…

Neural and Evolutionary Computing · Computer Science 2025-06-11 William Gebhardt , Alexander G. Ororbia , Nathan McDonald , Clare Thiem , Jack Lombardi

This study evaluates colorectal risk factors and compares classical models against Quantum Neural Networks (QNNs) for anastomotic leak prediction. Analyzing clinical data with 14\% leak prevalence, we tested ZZFeatureMap encodings with…

Machine Learning · Computer Science 2026-04-16 Vojtěch Novák , Ivan Zelinka , Lenka Přibylová , Lubomír Martínek , Vladimír Benčurík , Martin Beseda

Recent studies of cortical neurons driven by fluctuating currents revealed cutoff frequencies for action potential encoding of several hundred Hz. Theoretical studies of biophysical neuron models have predicted a much lower cutoff frequency…

Neurons and Cognition · Quantitative Biology 2015-05-27 Wei Wei , Fred Wolf

Integrate-and-Fire (IF) is an idealized model of the spike-triggering mechanism of a biological neuron. It is used to realize the bio-inspired event-based principle of information processing in neuromorphic computing. We show that IF is…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Bernhard A. Moser , Anna Werzi , Michael Lunglmayr

Spiking Neural Networks (SNNs) hold promise for energy-efficient, biologically inspired computing. We identify substantial informatio loss during spike transmission, linked to temporal dependencies in traditional Leaky Integrate-and-Fire…

Neural and Evolutionary Computing · Computer Science 2025-02-04 Guobin Shen , Jindong Li , Tenglong Li , Dongcheng Zhao , Yi Zeng

Neural processing systems typically represent data using leaky integrate and fire (LIF) neuron models that generate spikes or pulse trains at a rate proportional to their input amplitudes. This mechanism requires high firing rates when…

Emerging Technologies · Computer Science 2019-05-07 Manu V Nair , Giacomo Indiveri

We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

Neural and Evolutionary Computing · Computer Science 2007-05-23 H. Soula , G. Beslon , O. Mazet

If NISQ-era quantum computers are to perform useful tasks, they will need to employ powerful error mitigation techniques. Quasi-probability methods can permit perfect error compensation at the cost of additional circuit executions, provided…

Quantum Physics · Physics 2022-02-14 Armands Strikis , Dayue Qin , Yanzhu Chen , Simon C. Benjamin , Ying Li

In the reinforcement learning (RL) tasks, the ability to predict receiving reward in the near or more distant future means the ability to evaluate the current state as more or less close to the target state (labelled by the reward signal).…

Neural and Evolutionary Computing · Computer Science 2023-11-10 Mikhail Kiselev

We present a method to model a discretized time evolution of probabilistic networks on gate-based quantum computers. We consider networks of nodes, where each node can be in one of two states: good or failed. In each time step,…

Quantum Physics · Physics 2023-03-30 M. C. Braun , T. Decker , N. Hegemann , S. F. Kerstan , C. Maier , J. Ulmanis

Bayesian inference offers a principled account of information processing in natural agents. However, it remains an open question how neural mechanisms perform their abstract operations. We investigate a hypothesis where a distributed form…

Neural and Evolutionary Computing · Computer Science 2025-12-12 Sepideh Adamiat , Wouter M. Kouw , Bert de Vries

What underlies intuitive human thinking? One approach to this question is to compare the cognitive dynamics of humans and large language models (LLMs). However, such a comparison requires a method to quantitatively analyze AI cognitive…

Computation and Language · Computer Science 2025-05-02 Makoto Sato

Artificial neural networks normally require precise weights to operate, despite their origins in biological systems, which can be highly variable and noisy. When implementing artificial networks which utilize analog 'synaptic' devices to…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Wilkie Olin-Ammentorp , Karsten Beckmann , Catherine D. Schuman , James S. Plank , Nathaniel C. Cady

Spiking networks that perform probabilistic inference have been proposed both as models of cortical computation and as candidates for solving problems in machine learning. However, the evidence for spike-based computation being in any way…

Neural and Evolutionary Computing · Computer Science 2017-10-12 Luziwei Leng , Roman Martel , Oliver Breitwieser , Ilja Bytschok , Walter Senn , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici