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Finding a basis/coordinate system that can efficiently represent an input data stream by viewing them as realizations of a stochastic process is of tremendous importance in many fields including data compression and computational…

Numerical Analysis · Mathematics 2025-10-20 Bertrand Benichou , Naoki Saito

Now that spike trains from many neurons can be recorded simultaneously, there is a need for methods to decode these data to learn about the networks that these neurons are part of. One approach to this problem is to adjust the parameters of…

Quantitative Methods · Quantitative Biology 2011-06-10 John Hertz , Yasser Roudi , Joanna Tyrcha

The most useful data mining primitives are distance measures. With an effective distance measure, it is possible to perform classification, clustering, anomaly detection, segmentation, etc. For single-event time series Euclidean Distance…

Machine Learning · Computer Science 2022-12-14 Audrey Der , Chin-Chia Michael Yeh , Renjie Wu , Junpeng Wang , Yan Zheng , Zhongfang Zhuang , Liang Wang , Wei Zhang , Eamonn Keogh

Advances in neuroscience have enabled researchers to measure the activities of large numbers of neurons simultaneously in behaving animals. We have access to the fluorescence of each of the neurons which provides a first-order approximation…

Neurons and Cognition · Quantitative Biology 2023-07-21 Abhisek Chakraborty

This article presents a mini-review about the progress in inferring monosynaptic connections from spike trains of multiple neurons over the past twenty years. First, we explain a variety of meanings of ``neuronal connectivity'' in different…

Neurons and Cognition · Quantitative Biology 2024-03-19 Ryota Kobayashi , Shigeru Shinomoto

A common way of studying the relationship between neural activity and behavior is through the analysis of neuronal spike trains that are recorded using one or more electrodes implanted in the brain. Each spike train typically contains…

Applications · Statistics 2011-04-15 Mengxin Li , Wei-Liem Loh

The distance standard deviation, which arises in distance correlation analysis of multivariate data, is studied as a measure of spread. The asymptotic distribution of the empirical distance standard deviation is derived under the assumption…

Statistics Theory · Mathematics 2019-12-12 Dominic Edelmann , Donald Richards , Daniel Vogel

Neuroscientists have worked on the problem of estimating synaptic properties, such as connectivity and strength, from simultaneously recorded spike trains since the 1960s. Recent years have seen renewed interest in the problem, coinciding…

Neurons and Cognition · Quantitative Biology 2024-05-07 Zach Saccomano , Sam Mckenzie , Horacio Rotstein , Asohan Amarasingham

We derive a synaptic weight update rule for learning temporally precise spike train to spike train transformations in multilayer feedforward networks of spiking neurons. The framework, aimed at seamlessly generalizing error backpropagation…

Neural and Evolutionary Computing · Computer Science 2016-01-11 Arunava Banerjee

Spatio-temporal trajectory analytics is at the core of smart mobility solutions, which offers unprecedented information for diversified applications such as urban planning, infrastructure development, and vehicular networks. Trajectory…

Data Structures and Algorithms · Computer Science 2023-03-20 Danlei Hu , Lu Chen , Hanxi Fang , Ziquan Fang , Tianyi Li , Yunjun Gao

Distance measures have been recognized as one of the fundamental building blocks in time-series analysis tasks, e.g., querying, indexing, classification, clustering, anomaly detection, and similarity search. The vast proliferation of…

Databases · Computer Science 2024-12-31 John Paparrizos , Haojun Li , Fan Yang , Kaize Wu , Jens E. d'Hondt , Odysseas Papapetrou

Sensory systems pass information about an animal's environment to higher nervous system units through sequences of action potentials. When these action potentials have essentially equivalent waveforms, all information is contained in the…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Henry D. I. Abarbanel , Sachin Talathi

Modern well-performing approaches to neural decoding are based on machine learning models such as decision tree ensembles and deep neural networks. The wide range of algorithms that can be utilized to learn from neural spike trains, which…

Neurons and Cognition · Quantitative Biology 2023-01-30 Ivan Lazarevich , Ilya Prokin , Boris Gutkin , Victor Kazantsev

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

Switched capacitor arrays (SCA) ASICs are becoming more and more popular for the readout of detector signals, since the sampling frequency of typically several gigasamples per second allows excellent pile-up rejection and time measurements.…

Instrumentation and Detectors · Physics 2014-11-24 D. Stricker-Shaver , S. Ritt , B. J. Pichler

We devised a measure based on the distributions of relative event timings of two coupled units. The measure dynamically evaluates temporal interdependencies between the two coupled units. Using this we show that even in the event of…

Chaotic Dynamics · Physics 2007-05-23 Michal Zochowski , Rhonda Dzakpasu

Animal interval timing is often studied through the peak interval (PI) procedure. In this procedure, the animal is rewarded for the first response after a fixed delay from the stimulus onset, but on some trials, the stimulus remains and no…

Neurons and Cognition · Quantitative Biology 2022-04-05 Jason Zwicker , Francois Rivest

Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. Discerning the presence…

Applications · Statistics 2019-03-21 Pietro Verzelli , Laura Sacerdote

Estimating the number of spikes in a spiked model is an important problem in many areas such as signal processing. Most of the classical approaches assume a large sample size $n$ whereas the dimension $p$ of the observations is kept small.…

Statistics Theory · Mathematics 2014-06-04 Damien Passemier , Jian-Feng Yao

Integrate-and-fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshold. We analyze the IF encoder in terms of a very general…

Functional Analysis · Mathematics 2026-01-15 Diana Carbajal , José Luis Romero