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The principles of neural encoding and computations are inherently collective and usually involve large populations of interacting neurons with highly correlated activities. While theories of neural function have long recognized the…

Neurons and Cognition · Quantitative Biology 2019-05-14 Christophe Gardella , Olivier Marre , Thierry Mora

A neuron transforms its input into output spikes, and this transformation is the basic unit of computation in the nervous system. The spiking response of the neuron to a complex, time-varying input can be predicted from the detailed…

Neurons and Cognition · Quantitative Biology 2011-12-19 Michael Famulare , Adrienne Fairhall

We present a mathematical analysis of a networks with Integrate-and-Fire neurons and adaptive conductances. Taking into account the realistic fact that the spike time is only known within some \textit{finite} precision, we propose a model…

Biological Physics · Physics 2010-11-09 B. Cessac , T. Vieville

In recent years, spiking neural networks (SNNs) have attracted substantial interest due to their potential to replicate the energy-efficient and event-driven processing of biological neurons. Despite this, the application of SNNs in graph…

Artificial Intelligence · Computer Science 2024-07-31 Mingkun Xu , Huifeng Yin , Yujie Wu , Guoqi Li , Faqiang Liu , Jing Pei , Shuai Zhong , Lei Deng

Spiking Neural Networks (SNNs) have incorporated more biologically-plausible structures and learning principles, hence are playing critical roles in bridging the gap between artificial and natural neural networks. The spikes are the sparse…

Neural and Evolutionary Computing · Computer Science 2020-10-08 Xiang Cheng , Tielin Zhang , Shuncheng Jia , Bo Xu

We initiate the study of biological neural networks from the perspective of streaming algorithms. Like computers, human brains suffer from memory limitations which pose a significant obstacle when processing large scale and dynamically…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Yael Hitron , Cameron Musco , Merav Parter

Despite the incredible complexity of our brains' neural networks, theoretical descriptions of neural dynamics have led to profound insights into possible network states and dynamics. It remains challenging to develop theories that apply to…

Neurons and Cognition · Quantitative Biology 2022-07-06 Jonas Ranft , Benjamin Lindner

Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

Neurons and Cognition · Quantitative Biology 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

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

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

Statistics Theory · Mathematics 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

Spiking Neural Networks (SNNs), providing more realistic neuronal dynamics, have been shown to achieve performance comparable to Artificial Neural Networks (ANNs) in several machine learning tasks. Information is processed as spikes within…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Jiaqi Lin , Sen Lu , Malyaban Bal , Abhronil Sengupta

The spiking neural network, known as the third generation neural network, is an important network paradigm. Due to its mode of information propagation that follows biological rationality, the spiking neural network has strong energy…

Neural and Evolutionary Computing · Computer Science 2025-05-21 Zihan Dai , Huanfei Ma

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

Neural and Evolutionary Computing · Computer Science 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

Spiking Neural Networks (SNNs) are distinguished from Artificial Neural Networks (ANNs) for their complex neuronal dynamics and sparse binary activations (spikes) inspired by the biological neural system. Traditional neuron models use…

Neural and Evolutionary Computing · Computer Science 2025-10-31 Peng Xue , Wei Fang , Zhengyu Ma , Zihan Huang , Zhaokun Zhou , Yonghong Tian , Timothée Masquelier , Huihui Zhou

We provide rigorous and exact results characterizing the statistics of spike trains in a network of leaky integrate and fire neurons, where time is discrete and where neurons are submitted to noise, without restriction on the synaptic…

Dynamical Systems · Mathematics 2011-05-18 B. Cessac

Spiking neural networks (SNNs) communicate via discrete spikes in time rather than continuous activations. Their event-driven nature offers advantages for temporal processing and energy efficiency on resource-constrained hardware, but…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Karol C. Jurzec , Tomasz Szydlo , Maciej Wielgosz

The energy-efficient and brain-like information processing abilities of Spiking Neural Networks (SNNs) have attracted considerable attention, establishing them as a crucial element of brain-inspired computing. One prevalent challenge…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Zhigang Wang , Lu Cao , Jianfeng Feng

By exploiting discrete signal processing and simulating brain neuron communication, Spiking Neural Networks (SNNs) offer a low-energy alternative to Artificial Neural Networks (ANNs). However, existing SNN models, still face high…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Wenxuan Pan , Feifei Zhao , Bing Han , Haibo Tong , Yi Zeng

Human brain neuron activities are incredibly significant nowadays. Neuronal behavior is assessed by analyzing signal data such as electroencephalography (EEG), which can offer scientists valuable information about diseases and…

Deep spiking neural networks (SNNs) support asynchronous event-driven computation, massive parallelism and demonstrate great potential to improve the energy efficiency of its synchronous analog counterpart. However, insufficient attention…

Neural and Evolutionary Computing · Computer Science 2019-02-18 Jibin Wu , Yansong Chua , Malu Zhang , Qu Yang , Guoqi Li , Haizhou Li