Tyck till om SwePub Sök här!
onr:"swepub:oai:DiVA.org:su-16407"
Sökning: onr:"swepub:oai:DiVA.org:su-16407" > Testing Algorithms ...
- 1 av 1
- Föregående post
- Nästa post
- Till träfflistan
- Tyrcha, JoannaStockholms universitet,Matematiska institutionen,Matematisk statistik (författare)
Testing Algorithms for Extracting Functional Connectivity from Spike Data
- Artikel/kapitelEngelska2008
Förlag, utgivningsår, omfång ...
- 2008
- printrdacarrier
Nummerbeteckningar
- LIBRIS-ID:oai:DiVA.org:su-16407
- https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-16407URI
Kompletterande språkuppgifter
- Språk:engelska
- Sammanfattning på:engelska
Ingår i deldatabas
- SwePubSwePub
Klassifikation
Anmärkningar
- We can learn something about how large neuronal networks function from models of their spike pattern distributions constructed from data. We do this using the approach introduced by Schneidman et al [1], modeling this distribution by an Ising model: P[S] = Z-1exp(ΣJijSiSj + ΣihiSi). In the work reported here, we explore the accuracy of two algorithms for extracting the model parameters Jij and hi by testing them on data generated by networks in which these parameters are known.Both algorithms use, as input, the firing rates and mutual correlations of the neurons in the network. The first algorithm is straightforward Boltzmann learning. It will yield the parameters correctly if the input statistics are known exactly,but it may be very slow to converge. The second, very fast, algorithm [2] is based on inversion of the Thouless-Anderson-Palmer equations from spin glass theory. It is derived from a small-Jij expansion, but it is in principle correct for all Jij when the network is infinitely large and densely connected.In practice, however, the rates and correlations used as inputs to the algorithms are estimates based on a finite number of measurements. Therefore, there will be errors in the extracted model parameters. Errors will also occur if the data are incomplete, i.e., if the rates and correlations are not measured for all neurons or all pairs. This case is highly relevant to the experimental situation, since in practice it is only possible to record from a small fraction of the neurons in a network.Two particular kinds of error statistics are of special interest: variances of the differences between true and extracted parameters, and variances of the differences between parameters extracted for two independent sets of training data. We study the relation between the two, since the first is what we are interested in but only the second can be computed in the realistic situation, where we do not know the parameters a priori. We also examine the variance of the difference between the true and extracted correlations.Finally, we apply the algorithms to the data of Schneidman et al from salamander retinal ganglion neurons.References--------------------------------------------------------------------------------1. E Schneidman et al, Nature 440 1007-1012 (2006); G Tkacik et al, arXiv:q-bio.NC/0611072 (2006)2. T Tanaka, Phys Rev E 58 2302-2310 (1998); H J Kappen and F B Rodriguez, Neural Comp 10 1137-1156 (1998)
Ämnesord och genrebeteckningar
- NATURVETENSKAP Biologi Bioinformatik och systembiologi hsv//swe
- NATURAL SCIENCES Biological Sciences Bioinformatics and Systems Biology hsv//eng
- MEDICIN OCH HÄLSOVETENSKAP Medicinska och farmaceutiska grundvetenskaper Neurovetenskaper hsv//swe
- MEDICAL AND HEALTH SCIENCES Basic Medicine Neurosciences hsv//eng
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- Bioinformatics
- Bioinformatik
- Neurobiology
- Neurobiologi
- Mathematical statistics
- Matematisk statistik
Biuppslag (personer, institutioner, konferenser, titlar ...)
- Hertz, John (författare)
- Stockholms universitetMatematiska institutionen (creator_code:org_t)
Sammanhörande titlar
- Ingår i:1st INCF Congress of Neuroinformatics: Databasing and Modeling the Brain
Internetlänk
Till lärosätets databas
- 1 av 1
- Föregående post
- Nästa post
- Till träfflistan
Hitta mer i SwePub
- Av författaren/redakt...
- Tyrcha, Joanna
- Hertz, John
- Om ämnet
-
- NATURVETENSKAP
- NATURVETENSKAP
- och Biologi
- och Bioinformatik oc ...
-
- MEDICIN OCH HÄLSOVETENSKAP
- MEDICIN OCH HÄLS ...
- och Medicinska och f ...
- och Neurovetenskaper
-
- NATURVETENSKAP
- NATURVETENSKAP
- och Matematik
- och Sannolikhetsteor ...
- Artiklar i publikationen
- 1st INCF Congres ...
- Av lärosätet
- Stockholms universitet
Sök utanför SwePub
- Sök vidare i:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - Nationella bibliotekssystem
- LIBRIS.kb.se
