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Spiking Neural Networks (SNN) exhibit higher energy efficiency compared to Artificial Neural Networks (ANN) due to their unique spike-driven mechanism. Additionally, SNN possess a crucial characteristic, namely the ability to process…

Neural and Evolutionary Computing · Computer Science 2025-04-02 Huaxu He

The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic…

Neurons and Cognition · Quantitative Biology 2017-07-20 Moritz Augustin , Josef Ladenbauer , Fabian Baumann , Klaus Obermayer

An analytical description of the response properties of simple but realistic neuron models in the presence of noise is still lacking. We determine completely up to the second order the firing statistics of a single and a pair of leaky…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ruben Moreno-Bote , Nestor Parga

The Carson and Fry (1937) introduced the concept of variable frequency as a generalization of the constant frequency. The instantaneous frequency (IF) is the time derivative of the instantaneous phase and it is well-defined only when this…

Information Theory · Computer Science 2017-12-06 Pushpendra Singh

One of the most important challenges in mathematical neuroscience is to properly illustrate the stochastic nature of neurons. Among different approaches, the noisy leaky integrate-and-fire and the escape rate models are probably the most…

Analysis of PDEs · Mathematics 2017-02-07 Grégory Dumont , Jacques Henry , Carmen Oana Tarniceriu

If interspike intervals are dependent the instantaneous firing rate does not catch important features of spike trains. In this case the conditional instantaneous rate plays the role of the instantaneous firing rate for the case of samples…

Statistics Theory · Mathematics 2015-09-21 Elisa Benedetto , Federico Polito , Laura Sacerdote

Spike correlations between neurons are ubiquitous in the cortex, but their role is at present not understood. Here we describe the firing response of a leaky integrate-and-fire neuron (LIF) when it receives a temporarily correlated input…

Neurons and Cognition · Quantitative Biology 2007-10-15 Ruben Moreno-Bote , Alfonso Renart , Nestor Parga

We use mean field theory to study the response properties of a simple randomly-connected model cortical network of leaky integrate-and-fire neurons with balanced excitation and inhibition. The formulation permits arbitrary temporal…

Disordered Systems and Neural Networks · Physics 2007-05-23 John Hertz , Barry Richmond , Kristian Nilsen

Spiking neural networks (SNNs), a brain-inspired computing paradigm, are emerging for their inference performance, particularly in terms of energy efficiency and latency attributed to the plasticity in signal processing. To deploy SNNs in…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Sizhen Bian , Elisa Donati , Michele Magno

Resolving frequencies in a time-dependent field is classically limited by the measurement bandwidth. Using tools from quantum metrology and quantum control may overcome this limit, yet the full advantage afforded by entanglement so far…

Quantum Physics · Physics 2025-09-03 Anirban Dey , Sara Mouradian , Cosmo Lupo , Zixin Huang

Spiking Neural Networks (SNNs), inspired by the brain, are characterized by minimal power consumption and swift inference capabilities on neuromorphic hardware, and have been widely applied to various visual perception tasks. Current…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Chengjun Zhang , Yuhao Zhang , Jie Yang , Mohamad Sawan

Agentic language models compose multi step reasoning chains, yet intermediate steps can be corrupted by inconsistent context, retrieval errors, or adversarial inputs, which makes post hoc evaluation too late because errors propagate before…

Machine Learning · Computer Science 2025-11-11 Valentin Noël

Sensors are embedded in security-critical applications from medical devices to nuclear power plants, but their outputs can be spoofed through electromagnetic and other types of signals transmitted by attackers at a distance. To address the…

Cryptography and Security · Computer Science 2019-11-12 Ilias Giechaskiel , Youqian Zhang , Kasper B. Rasmussen

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

Intelligent spectrum management is crucial for improving spectrum efficiency and achieving secure utilization of spectrum resources. However, existing intelligent spectrum management methods, typically based on small-scale models, suffer…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Fuhui Zhou , Chunyu Liu , Hao Zhang , Wei Wu , Qihui Wu , Tony Q. S. Quek , Chan-Byoung Chae

Millimeter-wave (mmWave) sensing enables privacy-preserving, always-on edge perception, but its measurements are often sparse, temporally irregular, and corrupted by high-frequency noise. Existing mmWave pipelines predominantly rely on…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Di Yu , Zhenyu Liao , Changze Lv , Wentao Tong , Linshan Jiang , Sijie Ji , Xin Du , Hailiang Zhao , Xiaoqing Zheng , Shuiguang Deng

A quantum system subject to an external perturbation can experience leakage between uncoupled regions of its energy spectrum separated by a gap. To quantify this phenomenon, we present two complementary results. First, we establish…

Quantum Physics · Physics 2025-09-03 Zsolt Szabó , Stefan Gehr , Paolo Facchi , Kazuya Yuasa , Daniel Burgarth , Davide Lonigro

In this paper we study the reconstruction of a bandlimited signal from samples generated by the integrate and fire model. This sampler allows us to trade complexity in the reconstruction algorithms for simple hardware implementations, and…

Data Analysis, Statistics and Probability · Physics 2015-04-27 Hans G. Feichtinger , José C. Príncipe , José Luis Romero , Alexander Singh Alvarado , Gino Angelo Velasco

In the mean field integrate-and-fire model, the dynamics of a typical neuron within a large network is modeled as a diffusion-jump stochastic process whose jump takes place once the voltage reaches a threshold. In this work, the main goal…

Probability · Mathematics 2021-02-19 Jian-Guo Liu , Ziheng Wang , Yantong Xie , Yuan Zhang , Zhennan Zhou

In the mean field integrate-and-fire model, the dynamics of a typical neuron within a large network is modeled as a diffusion-jump stochastic process whose jump takes place once the voltage reaches a threshold. In this work, the main goal…

Probability · Mathematics 2023-06-22 Jian-Guo Liu , Ziheng Wang , Yantong Xie , Yuan Zhang , Zhennan Zhou