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In timing-based neural codes, neurons have to emit action potentials at precise moments in time. We use a supervised learning paradigm to derive a synaptic update rule that optimizes via gradient ascent the likelihood of postsynaptic firing…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jean-Pascal Pfister , Taro Toyoizumi , David Barber , Wulfram Gerstner

Energy efficiency and low latency are crucial requirements for designing wearable AI-empowered human activity recognition systems, due to the hard constraints of battery operations and closed-loop feedback. While neural network models have…

Neural and Evolutionary Computing · Computer Science 2023-08-03 Sizhen Bian , Michele Magno

Spike Timing Dependent Plasticity is form of learning that has been demonstrated in real cortical tissue, but attempts to use it for artificial systems have not produced good results. This paper seeks to remedy this with two significant…

Neural and Evolutionary Computing · Computer Science 2020-07-01 Simon Davidson , Stephen B. Furber , Oliver Rhodes

Statistical properties of spike trains measured from a sensory neuron in-vivo are studied experimentally and theoretically. Experiments are performed on an identified neuron in the visual system of the blowfly. It is shown that the spike…

Biological Physics · Physics 2007-05-23 N. Brenner , O. Agam , W. Bialek , R. de Ruyter van Steveninck

Inference for the stochastic blockmodel is currently of burgeoning interest in the statistical community, as well as in various application domains as diverse as social networks, citation networks, brain connectivity networks…

Methodology · Statistics 2016-02-10 Shakira Suwan , Dominic S. Lee , Runze Tang , Daniel L. Sussman , Minh Tang , Carey E. Priebe

Spike Timing Dependent Plasticity (STDP) is a Hebbian like synaptic learning rule. The basis of STDP has strong experimental evidences and it depends on precise input and output spike timings. In this paper we show that under biologically…

Neurons and Cognition · Quantitative Biology 2015-04-14 Subhajit Sengupta , Karthik S. Gurumoorthy , Arunava Banerjee

Several learning rules for synaptic plasticity, that depend on either spike timing or internal state variables, have been proposed in the past imparting varying computational capabilities to Spiking Neural Networks. Due to design…

Neural and Evolutionary Computing · Computer Science 2017-01-09 Sadique Sheik , Somnath Paul , Charles Augustine , Gert Cauwenberghs

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

We present EntropyDB, an interactive data exploration system that uses a probabilistic approach to generate a small, query-able summary of a dataset. Departing from traditional summarization techniques, we use the Principle of Maximum…

Databases · Computer Science 2019-11-13 Laurel Orr , Magdalena Balazinska , Dan Suciu

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

Statistical Finance · Quantitative Finance 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

Language models (LMs) are trained on billions of tokens in an attempt to recover the true language distribution. Still, vanilla random sampling from LMs yields low quality generations. Decoding algorithms attempt to restrict the LM…

Machine Learning · Computer Science 2026-01-06 Kareem Ahmed , Sameer Singh

Spiking Neural Networks (SNN). SNNs are based on a more biologically inspired approach than usual artificial neural networks. Such models are characterized by complex dynamics between neurons and spikes. These are very sensitive to the…

Neural and Evolutionary Computing · Computer Science 2024-09-06 Thomas Firmin , Pierre Boulet , El-Ghazali Talbi

The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of sequences of networks were less developed. In this paper we focus on networks…

Disordered Systems and Neural Networks · Physics 2017-04-18 Daniel Fraiman , Nicolas Fraiman , Ricardo Fraiman

Spike-sorting techniques attempt to classify a series of noisy electrical waveforms according to the identity of the neurons that generated them. Existing techniques perform this classification ignoring several properties of actual neurons…

Quantitative Methods · Quantitative Biology 2007-05-23 Christophe Pouzat

We introduce a graph-signal generalisation of Sample Entropy, denoted SampEn$_{G}$, to quantify irregularity of graph signals on a continuous state space, complementing existing methods on symbolic dynamics. Our approach replaces the…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Mei-San Maggie Lei , John Stewart Fabila Carrasco , Javier Escudero

Spiking Neural Networks~(SNNs) are a promising research paradigm for low power edge-based computing. Recent works in SNN backpropagation has enabled training of SNNs for practical tasks. However, since spikes are binary events in time,…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Sumit Bam Shrestha , Longwei Zhu , Pengfei Sun

We give a probabilistic analysis for the randomized game tree evaluation algorithm of Snir. We first show that there exists an input such that the running time, measured as the number of external nodes read by the algorithm, on that input…

Probability · Mathematics 2007-05-23 Tämur Ali Khan , Ralph Neininger

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

The advent of large scale neural computational platforms has highlighted the lack of algorithms for synthesis of neural structures to perform predefined cognitive tasks. The Neural Engineering Framework offers one such synthesis, but it is…

Neural and Evolutionary Computing · Computer Science 2013-04-29 J. Tapson , G. Cohen , S. Afshar , K. Stiefel , Y. Buskila , R. Wang , T. J. Hamilton , A. van Schaik

The theory of random graphs is being applied in recent years to model neural interactions in the brain. While the probabilistic properties of random graphs has been extensively studied in the literature, the development of statistical…

Applications · Statistics 2015-04-27 Andressa Cerqueira , Daniel Fraiman , Claudia D. Vargas , Florencia Leonardi