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Fitting network models to neural activity is an important tool in neuroscience. A popular approach is to model a brain area with a probabilistic recurrent spiking network whose parameters maximize the likelihood of the recorded activity.…

Machine Learning · Statistics 2021-11-16 Guillaume Bellec , Shuqi Wang , Alireza Modirshanechi , Johanni Brea , Wulfram Gerstner

This paper examines synchronization of computer clocks connected via a data network and proposes a skewless algorithm to synchronize them. Unlike existing solutions, which either estimate and compensate the frequency difference (skew) among…

Optimization and Control · Mathematics 2014-07-29 Enrique Mallada , Xiaoqiao Meng , Michel Hack , Li Zhang , Ao Tang

Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

Neurons and Cognition · Quantitative Biology 2007-09-14 Garrett T. Kenyon

The conformance testing problem for dynamical systems asks, given two dynamical models (e.g., as Simulink diagrams), whether their behaviors are "close" to each other. In the semi-formal approach to conformance testing, the two systems are…

Systems and Control · Computer Science 2015-05-22 Jyotirmoy V. Deshmukh , Rupak Majumdar , Vinayak S. Prabhu

Spiking neural networks (SNNs) have advantages in latency and energy efficiency over traditional artificial neural networks (ANNs) due to its event-driven computation mechanism and replacement of energy-consuming weight multiplications with…

Neural and Evolutionary Computing · Computer Science 2023-11-03 Zhehui Wang , Xiaozhe Gu , Rick Goh , Joey Tianyi Zhou , Tao Luo

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

Reachability analysis is a critical tool for the formal verification of dynamical systems and the synthesis of controllers for them. Due to their computational complexity, many reachability analysis methods are restricted to systems with…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Alex Devonport , Mahmoud Khaled , Murat Arcak , Majid Zamani

This paper introduces a new addition to the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) family, tailored specifically for time series and forecasting analysis. This new algorithm leverages the concept of…

Methodology · Statistics 2024-12-30 Ahmed Z Naser , MZ Naser

Statistical static timing analysis deals with the increasing variations in manufacturing processes to reduce the pessimism in the worst case timing analysis. Because of the correlation between delays of circuit components, timing model…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Manuel Schmidt , Walter Schneider , Ulf Schlichtmann

The previous decade has brought a remarkable increase of the interest in applications that deal with querying and mining of time series data. Many of the research efforts in this context have focused on introducing new representation…

Artificial Intelligence · Computer Science 2015-03-17 Xiaoyue Wang , Hui Ding , Goce Trajcevski , Peter Scheuermann , Eamonn Keogh

We study second order consensus dynamics with random additive disturbances. We investigate three different performance measures: the steady-state variance of pairwise differences between vertex states, the steady-state variance of the…

Optimization and Control · Mathematics 2017-09-26 Yuhao Yi , Bingjia Yang , Zhongzhi Zhang , Stacy Patterson

Negative serial correlations in single spike trains are an effective method to reduce the variability of spike counts. One of the factors contributing to the development of negative correlations between successive interspike intervals is…

Neurons and Cognition · Quantitative Biology 2011-10-04 Eugenio Urdapilleta

The measurement of time durations or instants of ocurrence of events has been frequently modelled ``operationally'' by coupling the system of interest to a ``clock''. According to several of these models the operational approach is limited…

Quantum Physics · Physics 2009-11-07 D. Alonso , R. Sala Mayato , J. G. Muga

While spike trains are obviously not band-limited, the theory of super-resolution tells us that perfect recovery of unknown spike locations and weights from low-pass Fourier transform measurements is possible provided that the minimum…

Information Theory · Computer Science 2017-01-24 Céline Aubel , David Stotz , Helmut Bölcskei

Does synchronization between action potentials from different neurons in the visual system play a substantial role in solving the binding problem? The binding problem can be studied quantitatively in the broader framework of the information…

Biological Physics · Physics 2007-05-23 Simon R. Schultz , Huw D. R. Golledge , Stefano Panzeri

Isochronous mass spectrometry (IMS) in storage rings is a powerful tool for mass measurements of exotic nuclei with very short half-lives down to several tens of microseconds, using a multicomponent secondary beam separated in-flight…

The distance covariance of two random vectors is a measure of their dependence. The empirical distance covariance and correlation can be used as statistical tools for testing whether two random vectors are independent. We propose an analogs…

Statistics Theory · Mathematics 2017-03-31 Muneya Matsui , Thomas Mikosch , Gennady Samorodnitsky

The Sparse Identification of Nonlinear Dynamics (SINDy) algorithm can be applied to stochastic differential equations to estimate the drift and the diffusion function using data from a realization of the SDE. The SINDy algorithm requires…

Numerical Analysis · Mathematics 2024-01-29 Mathias Wanner , Igor Mezić

Detecting abrupt changes in data distribution is one of the most significant tasks in streaming data analysis. Although many unsupervised Change-Point Detection (CPD) methods have been proposed recently to identify those changes, they still…

Machine Learning · Computer Science 2024-04-26 Yang Cao , Ye Zhu , Kai Ming Ting , Flora D. Salim , Hong Xian Li , Luxing Yang , Gang Li

We present a new space-efficient approach, (SparseDTW), to compute the Dynamic Time Warping (DTW) distance between two time series that always yields the optimal result. This is in contrast to other known approaches which typically…

Databases · Computer Science 2012-01-17 Ghazi Al-Naymat , Sanjay Chawla , Javid Taheri
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