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The activity of a sparse network of leaky integrate-and-fire neurons is carefully revisited with reference to a regime of a bona-fide asynchronous dynamics. The study is preceded by a finite-size scaling analysis, carried out to identify a…

Neurons and Cognition · Quantitative Biology 2020-05-06 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

We present an approximate analytical expression for the escape rate of time-dependent driven stochastic processes with an absorbing boundary such as the driven leaky integrate-and-fire model for neural spiking. The novel approximation is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

Modern cyberattacks are increasingly complex, posing significant challenges to classical machine learning methods, particularly when labeled data is limited and feature interactions are highly non-linear. In this study we investigates the…

Cryptography and Security · Computer Science 2026-01-06 Jessica A. Sciammarelli , Waqas Ahmed

Redundant information transfer in a neural network can increase the complexity of the deep learning model, thus increasing its power consumption. We introduce in this paper a novel spiking neuron, termed Variable Spiking Neuron (VSN), which…

Neural and Evolutionary Computing · Computer Science 2023-11-17 Shailesh Garg , Souvik Chakraborty

We studied the impact of a dynamical threshold on the f-I curve-the relationship between the input and the firing rate of a neuron-in the presence of background synaptic inputs. First, we found that, while the leaky integrate-and-fire model…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ryota Kobayashi

Spiking Neural Networks (SNNs) use discrete spike sequences to transmit information, which significantly mimics the information transmission of the brain. Although this binarized form of representation dramatically enhances the energy…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Guobin Shen , Dongcheng Zhao , Yi Zeng

Although AI agents have demonstrated impressive capabilities in long-horizon reasoning, their reliability is severely hampered by the ``Spiral of Hallucination,'' where early epistemic errors propagate irreversibly. Existing methods face a…

Artificial Intelligence · Computer Science 2026-01-23 Jiaxin Zhang , Prafulla Kumar Choubey , Kung-Hsiang Huang , Caiming Xiong , Chien-Sheng Wu

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

We examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses. In such cells (models), typified by the quadratic integrate and fire model, mutual synaptic coupling…

Neurons and Cognition · Quantitative Biology 2007-07-31 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

The Network of Noisy Leaky Integrate and Fire (NNLIF) model describes the behavior of a neural network at mesoscopic level. It is one of the simplest self-contained mean-field models considered for that purpose. Even so, to study the…

Analysis of PDEs · Mathematics 2017-06-15 María J. Cáceres , Ricarda Schneider

We investigate how relative phase information, encoded by a single qubit $H\,\varphi\,H$ gate sequence, is reflected in the quantum Fisher information (QFI) under noisy dynamics. Within a collision model framework, algorithmically prepared…

Quantum Physics · Physics 2025-09-23 S. Elham Mousavigharalari , Deniz Türkpençe

We present design and implementation of a novel neural network potential (NNP) and its combination with an electrostatic embedding scheme, commonly used within the context of hybrid quantum-mechanical/molecular-mechanical (QM/MM)…

Chemical Physics · Physics 2025-08-15 Felix Pultar , Moritz Thuerlemann , Igor Gordiy , Eva Doloszeski , Sereina Riniker

Quantum-like (QL) modeling, one of the outcomes of the quantum information revolution, extends quantum theory methods beyond physics to decision theory and cognitive psychology. While effective in explaining paradoxes in decision making and…

Neurons and Cognition · Quantitative Biology 2025-11-18 Andrei Khrennikov , Atsushi Iriki , Irina Basieva

Spiking Neural Networks (SNNs) offer a biologically plausible and energy-efficient framework for temporal information processing. However, existing studies overlook a fundamental property widely observed in biological neurons-synaptic…

Neurons and Cognition · Quantitative Biology 2025-08-19 Zhichao Deng , Zhikun Liu , Junxue Wang , Shengqian Chen , Xiang Wei , Qiang Yu

Test-time compute has led to remarkable success in the large language model (LLM) community, particularly for complex tasks, where longer chains of thought (CoTs) are generated to enhance reasoning capabilities. However, growing evidence…

Artificial Intelligence · Computer Science 2025-10-23 Chenxu Yang , Qingyi Si , Mz Dai , Dingyu Yao , Mingyu Zheng , Minghui Chen , Zheng Lin , Weiping Wang

Quantum power flow (QPF) provides inspiring directions for tackling power flow's computational burdens leveraging quantum computing. However, existing QPF methods are mainly based on noise-sensitive quantum algorithms, whose practical…

Quantum Physics · Physics 2022-11-22 Fei Feng , Yifan Zhou , Peng Zhang

Spiking Neural Networks (SNNs) capture the information processing mechanism of the brain by taking advantage of spiking neurons, such as the Leaky Integrate-and-Fire (LIF) model neuron, which incorporates temporal dynamics and transmits…

Neural and Evolutionary Computing · Computer Science 2024-01-18 Zexiang Yi , Jing Lian , Yunliang Qi , Zhaofei Yu , Huajin Tang , Yide Ma , Jizhao Liu

The apparent stochasticity of in-vivo neural circuits has long been hypothesized to represent a signature of ongoing stochastic inference in the brain. More recently, a theoretical framework for neural sampling has been proposed, which…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Johannes Schemmel , Karlheinz Meier

Prior work on probing neural networks primarily relies on input-space analysis or parameter perturbation, both of which face fundamental limitations in accessing structural information encoded in intermediate representations. We introduce…

Machine Learning · Computer Science 2026-02-04 Tao Ren , Xiaoyu Luo , Qiongxiu Li

This paper presents a novel approach leveraging Spiking Neural Networks (SNNs) to construct a Variational Quantized Autoencoder (VQ-VAE) with a temporal codebook inspired by hippocampal time cells. This design captures and utilizes temporal…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Linghao Feng , Dongcheng Zhao , Sicheng Shen , Yiting Dong , Guobin Shen , Yi Zeng