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We present the mathematical basis of a new approach to the analysis of temporal coding. The foundation of the approach is the construction of several families of novel distances (metrics) between neuronal impulse trains. In contrast to most…

神经元与认知 · 定量生物学 2007-05-23 Jonathan D. Victor , Keith P. Purpura

Convolutional neural networks (CNNs) are widely used in computer vision. They can be used not only for conventional digital image material to recognize patterns, but also for feature extraction from digital imagery representing spectral and…

声音 · 计算机科学 2025-09-16 Friedrich Wolf-Monheim

This paper is an introduction to the membrane potential equation for neurons. Its properties are described, as well as sample applications. Networks of these equations can be used for modeling neuronal systems, which also process images and…

神经元与认知 · 定量生物学 2018-01-29 Matthias S. Keil

Objective: Convolutional Neural Networks (CNNs) have shown great potential in the field of Brain-Computer Interfaces (BCIs). The raw Electroencephalogram (EEG) signal is usually represented as 2-Dimensional (2-D) matrix composed of channels…

信号处理 · 电气工程与系统科学 2022-08-31 Xinbin Liang , Yaru Liu , Yang Yu , Kaixuan Liu , Yadong Liu , Zongtan Zhou

Seismic noise cross correlations are used to image crustal structure and heterogeneity. Typically, seismic networks are only anisotropically illuminated by seismic noise, a consequence of the non-uniform distribution of sources. Here, we…

地球与行星天体物理 · 物理学 2015-06-17 Shravan M. Hanasoge

Precise spatio-temporal patterns of neuronal action potentials underly e.g. sensory representations and control of muscle activities. However, it is not known how the synaptic efficacies in the neuronal networks of the brain adapt such that…

神经元与认知 · 定量生物学 2015-02-24 Christian Albers , Maren Westkott , Klaus Pawelzik

Spiking Neural Networks (SNNs) have attracted enormous research interest due to temporal information processing capability, low power consumption, and high biological plausibility. However, the formulation of efficient and high-performance…

神经与进化计算 · 计算机科学 2021-08-18 Wei Fang , Zhaofei Yu , Yanqi Chen , Timothee Masquelier , Tiejun Huang , Yonghong Tian

Metric and kernel learning are important in several machine learning applications. However, most existing metric learning algorithms are limited to learning metrics over low-dimensional data, while existing kernel learning algorithms are…

机器学习 · 计算机科学 2009-11-02 Prateek Jain , Brian Kulis , Jason V. Davis , Inderjit S. Dhillon

Behavioural metrics have been shown to be an effective mechanism for constructing representations in reinforcement learning. We present a novel perspective on behavioural metrics for Markov decision processes via the use of positive…

机器学习 · 计算机科学 2023-11-01 Pablo Samuel Castro , Tyler Kastner , Prakash Panangaden , Mark Rowland

Models like support vector machines or Gaussian process regression often require positive semi-definite kernels. These kernels may be based on distance functions. While definiteness is proven for common distances and kernels, a proof for a…

机器学习 · 计算机科学 2018-07-11 Martin Zaefferer , Thomas Bartz-Beielstein , Günter Rudolph

Spikes in the membrane electrical potentials of neurons play a major role in the functioning of nervous systems of animals. Obtaining the spikes from different neurons has been a challenging problem for decades. Several schemes have been…

定量方法 · 定量生物学 2016-02-11 Anupam Mitra , Anagh Pathak , Kaushik Majumdar

Modeling spike firing assumes that spiking statistics are Poisson, but real data violates this assumption. To capture non-Poissonian features, in order to fix the inevitable inherent irregularity, researchers rescale the time axis with…

神经与进化计算 · 计算机科学 2013-03-06 M. A. El-Dosuky , M. Z. Rashad , T. T. Hamza , A. H. EL-Bassiouny

The spiking activity of neocortical neurons exhibits a striking level of variability, even when these networks are driven by identical stimuli. The approximately Poisson firing of neurons has led to the hypothesis that these neural networks…

神经元与认知 · 定量生物学 2023-12-29 Logan A. Becker , Baowang Li , Nicholas J. Priebe , Eyal Seidemann , Thibaud Taillefumier

In-memory computing is an emerging computing paradigm that could enable deeplearning inference at significantly higher energy efficiency and reduced latency. The essential idea is to map the synaptic weights corresponding to each layer to…

Recent studies demonstrated the eligibility of convolutional neural networks (CNNs) for solving the image registration problem. CNNs enable faster transformation estimation and greater generalization capability needed for better support…

图像与视频处理 · 电气工程与系统科学 2021-02-10 Oleksii Bashkanov , Anneke Meyer , Daniel Schindele , Martin Schostak , Klaus Tönnies , Christian Hansen , Marko Rak

Learning synaptic weights of spiking neural network (SNN) models that can reproduce target spike trains from provided neural firing data is a central problem in computational neuroscience and spike-based computing. The discovery of the…

神经与进化计算 · 计算机科学 2019-10-10 Bryce Bagley , Blake Bordelon , Benjamin Moseley , Ralf Wessel

Spike sorting refers to the problem of assigning action potentials observed in extra-cellular recordings of neural activity to the neuron(s) from which they originate. We cast this problem as one of learning a convolutional dictionary from…

统计方法学 · 统计学 2018-06-07 Andrew H. Song , Francisco Flores , Demba Ba

The task of estimating the fundamental frequency of a monophonic sound recording, also known as pitch tracking, is fundamental to audio processing with multiple applications in speech processing and music information retrieval. To date, the…

音频与语音处理 · 电气工程与系统科学 2018-02-20 Jong Wook Kim , Justin Salamon , Peter Li , Juan Pablo Bello

Neurons in the central nervous system communicate with each other with the help of series of Action Potentials, or spike trains. Various studies have shown that neurons encode information in different features of spike trains, such as the…

神经元与认知 · 定量生物学 2014-10-21 Shubhanshu Shekhar , Kaushik Majumdar

The metrization of the space of neural responses is an ongoing research program seeking to find natural ways to describe, in geometrical terms, the sets of possible activities in the brain. One component of this program are the {\em spike…

神经元与认知 · 定量生物学 2009-07-21 Alexander J. Dubbs , Brad A. Seiler , Marcelo O. Magnasco