Filters








106 Hits in 3.9 sec

Estimating the Entropy Rate of Spike Trains via Lempel-Ziv Complexity

José M. Amigó, Janusz Szczepański, Elek Wajnryb, Maria V. Sanchez-Vives
2004 Neural Computation  
Normalized Lempel-Ziv complexity, which measures the generation rate of new patterns along a digital sequence, is closely related to such important source properties as entropy and compression ratio, but  ...  estimator for binned spike trains.  ...  Michalek assisted in the numerical post-processing of the data. We very much thank also the referees for their constructive criticism.  ... 
doi:10.1162/089976604322860677 pmid:15025827 fatcat:eivmwxffnje7nj3gx75p2bpt6e

Characterizing spike trains with Lempel?Ziv complexity

J SZCZEPASKI
2004 Neurocomputing  
In particular, Lempel-Ziv complexity allows to estimate the entropy of binned spike trains in an alternative way to the usual method based on the relative frequencies of words, with the deÿnitive advantage  ...  We review several applications of Lempel-Ziv complexity to the characterization of neural responses.  ...  Apart from the estimation of entropy, Lempel-Ziv complexity allows to introduce some useful tools for analyzing spike trains, e.g. complexity curves (with several encodings) of a given spike train as well  ... 
doi:10.1016/s0925-2312(04)00021-9 fatcat:rrotork2bvh7zm5gc4totayyca

Characterizing spike trains with Lempel–Ziv complexity

J. Szczepański, J.M. Amigó, E. Wajnryb, M.V. Sanchez-Vives
2004 Neurocomputing  
In particular, Lempel-Ziv complexity allows to estimate the entropy of binned spike trains in an alternative way to the usual method based on the relative frequencies of words, with the deÿnitive advantage  ...  We review several applications of Lempel-Ziv complexity to the characterization of neural responses.  ...  Apart from the estimation of entropy, Lempel-Ziv complexity allows to introduce some useful tools for analyzing spike trains, e.g. complexity curves (with several encodings) of a given spike train as well  ... 
doi:10.1016/j.neucom.2004.01.026 fatcat:xhaxbhxgdvc3nahrpii5h6mmxq

Application of Lempel–Ziv complexity to the analysis of neural discharges

J Szczepański, J M Amigó, E Wajnryb, M V Sanchez-Vives
2003 Network  
In particular, the normalized Lempel-Ziv complexity (Lempel and Ziv 1976 IEEE Trans. Inf.  ...  Theory 22 75-88), which measures the rate of generation of new patterns along a sequence, is closely related to such important source properties as entropy and information compression ratio.  ...  Acknowledgments This work was partially supported by the Polish-Spanish Scientific Cooperation Programme  ... 
doi:10.1088/0954-898x_14_2_309 pmid:12790188 fatcat:ukrhqnicczfg3ahxx5qkwwuztm

Mutual information and redundancy in spontaneous communication between cortical neurons

J. Szczepanski, M. Arnold, E. Wajnryb, J. M. Amigó, M. V. Sanchez-Vives
2011 Biological cybernetics  
This mostly occurs via a leading neuron with higher transmission rate or, less frequently, through the information rate of the whole group being higher than the sum of the individual information rates-in  ...  The spike trains studied here were spontaneously generated in the cortical network, in the absence of visual stimulation.  ...  Open Access This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided  ... 
doi:10.1007/s00422-011-0425-y pmid:21340601 fatcat:zioj3a7khfcqnazhcxqfsjyrv4

On the number of states of the neuronal sources

J.M. Amigó, J. Szczepański, E. Wajnryb, M.V. Sanchez-Vives
2003 Biosystems (Amsterdam. Print)  
In a previous paper (Proceedings of the World Congress on Neuroinformatics (2001) ) the authors applied the socalled Lempel Á/Ziv complexity to study neural discharges (spike trains) from an information-theoretical  ...  To this aim we modeled the neurons as information sources and the spike trains as messages generated by them.  ...  The normalized complexity is closely related to the source entropy (Amigó et al., 2001) , compression ratio for information of lossless sources (Ziv and Lempel, 1978) , optimal encoding (Ziv and Lempel  ... 
doi:10.1016/s0303-2647(02)00156-9 pmid:12543522 fatcat:fwezt7r2uzanniffoz3jgblhei

Measuring spike pattern reliability with the Lempel–Ziv-distance

Markus Christen, Adam Kohn, Thomas Ott, Ruedi Stoop
2006 Journal of Neuroscience Methods  
We introduce a novel spike train distance based on the Lempel-Ziv complexity that does not require the choice of arbitrary analysis parameters, is easy to implement, and computationally cheap.  ...  We determine firing reliability in vivo by calculating the deviation of the mean distance of spike trains obtained from multiple presentations of an identical stimulus from a Poisson reference.  ...  The work was supported by the Swiss National Science Foundation grant 247076 to R. Stoop.  ... 
doi:10.1016/j.jneumeth.2006.02.023 pmid:16584787 fatcat:kktjgwesajeojkmeldsjeyt2ei

Lempel-Ziv complexity of cortical activity during sleep and waking in rats

Daniel Abásolo, Samantha Simons, Rita Morgado da Silva, Giulio Tononi, Vladyslav V. Vyazovskiy
2015 Journal of Neurophysiology  
Recent advances in 18 developing novel mathematical approaches for investigating temporal structure of brain activity 19 based on such measures, as Lempel-Ziv complexity (LZC) can provide insights that  ...  11 Understanding the dynamics of brain activity manifested in the electroencephalogram (EEG), 12 local-field potentials (LFP) and neuronal spiking is essential for explaining their underlying 13 mechanisms  ...  Estimating the entropy rate of 546 spike trains via Lempel-Ziv complexity.  ... 
doi:10.1152/jn.00575.2014 pmid:25717159 pmcid:PMC4416627 fatcat:5tb4kdwhdre7lmgoqkwafzr75m

Nonlinear dynamical analysis of carbachol induced hippocampal oscillations in mice

Metin Akay, Kui Wang, Yasemin M Akay, Andrei Dragomir, Jie Wu
2009 Acta Pharmacologica Sinica  
nonlinear dynamical model based on the Lempel-Ziv estimator.  ...  Based on Lempel-Ziv estimator, pattern (2) was significantly lower than patterns (1) and (3) in 3xTg AD mice compared to WT mice (P<0.001), and also in 10-month old WT mice compared to those in 5-month  ...  Szczepanski et al [57] present three applications of LZ complexity to the analysis of spike trains: (i) estimation of the entropy, (ii) discrimination of neural responses via complexity curves and (iii  ... 
doi:10.1038/aps.2009.66 pmid:19498425 pmcid:PMC4002378 fatcat:ttzlpbc3vbb2neqmui2jcujp24

Complexity of VTA DA neural activities in response to PFC transection in nicotine treated rats

Ting Y Chen, Die Zhang, Andrei Dragomir, Yasemin M Akay, Metin Akay
2011 Journal of NeuroEngineering and Rehabilitation  
Results: The complexity of the recorded neural firing was subsequently assessed using a method based on the Lempel-Ziv estimator.  ...  The results were compared with those obtained when computing the entropy of neural firing.  ...  and helped to write the manuscript, YMA helped with the experiments and helped to write the paper.  ... 
doi:10.1186/1743-0003-8-13 pmid:21352584 pmcid:PMC3059294 fatcat:enc6ggq7kvfvnpuymay4o2ozb4

Information processing in the LGN: a comparison of neural codes and cell types

Agnieszka Pregowska, Alex Casti, Ehud Kaplan, Eligiusz Wajnryb, Janusz Szczepanski
2019 Biological cybernetics  
A natural question is whether the spike rate alone encodes the information about a stimulus (rate code), or additional information is contained in the temporal pattern of the spikes (temporal code).  ...  We found that the behavior of these two rates can differ quantitatively. This suggests that the energy used for spiking does not translate directly into the information to be transmitted.  ...  Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecomm ons.org/licenses/by/4.0/), which permits unrestricted use, distribution  ... 
doi:10.1007/s00422-019-00801-0 pmid:31243531 pmcid:PMC6658673 fatcat:5u7ckwlwm5egfdeslix7t7oq4i

Estimating the Entropy Rate of Finite Markov Chains with Application to Behavior Studies [article]

Brian Vegetabile, Jenny Molet, Tallie Z. Baram, Hal Stern
2017 arXiv   pre-print
The third method is related to the sliding-window Lempel-Ziv (SWLZ) compression algorithm.  ...  The first two methods directly estimate the entropy rate through estimates of the transition matrix and stationary distribution of the process; the methods differ in the technique used to estimate the  ...  Acknowledgements The first author would like to thank Dr  ... 
arXiv:1711.03962v1 fatcat:brj7oegiovavlhka2kykwqhx2i

Estimating Entropy Rates with Bayesian Confidence Intervals

Matthew B. Kennel, Jonathon Shlens, Henry D. I. Abarbanel, E. J. Chichilnisky
2005 Neural Computation  
We thank Pam Reinagel for valuable discussion and support; and colleagues at the Institute for Nonlinear Science (UCSD) and the Systems Neurobiology Laboratory (Salk Institute) for tremendous feedback  ...  Acknowledgments This work was supported by NSF IGERT and La Jolla Interfaces in the Sciences (J.S.); a Sloan Research Fellowship and NIH grant EY13150 (E.J.C.).  ...  Estimating the entropy rate from observed data like spike trains can be surprisingly difficult in practice.  ... 
doi:10.1162/0899766053723050 pmid:15901407 fatcat:nxvll5oe55ccdpvxuepkxmv3a4

Estimating the Entropy Rate of Finite Markov Chains With Application to Behavior Studies

Brian G. Vegetabile, Stephanie A. Stout-Oswald, Elysia Poggi Davis, Tallie Z. Baram, Hal S. Stern
2019 Journal of educational and behavioral statistics  
The third method is related to the sliding-window Lempel-Ziv (SWLZ) compression algorithm.  ...  The first two methods directly estimate the entropy rate through estimates of the transition matrix and stationary distribution of the process; the methods differ in the technique used to estimate the  ...  Conte Centers of the National Institutes of Health under  ... 
doi:10.3102/1076998618822540 fatcat:pzaif7ifpndyvolejyct3t7jxa

Interpretation of the Lempel-Ziv Complexity Measure in the Context of Biomedical Signal Analysis

M. Aboy, R. Hornero, D. Abasolo, D. Alvarez
2006 IEEE Transactions on Biomedical Engineering  
In recent years, LZ has been widely used in biomedical applications to estimate the complexity of discrete-time signals.  ...  Lempel-Ziv complexity (LZ) and derived LZ algorithms have been extensively used to solve information theoretic problems such as coding and lossless data compression.  ...  of neural discharges (spike trains) [27] .  ... 
doi:10.1109/tbme.2006.883696 pmid:17073334 fatcat:d62ocacsbfbthabjt6mu6tg72u
« Previous Showing results 1 — 15 out of 106 results