Codex Veronensis: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>ChrisGualtieri
m Remove stub template(s). Page is start class or higher. Also check for and do General Fixes + Checkwiki fixes using AWB
en>Monkbot
 
Line 1: Line 1:
'''Spike-triggered covariance (STC)''' analysis is a tool for characterizing a neuron's response properties using the [[covariance]] of stimuli that elicit spikes from a neuron. STC is related to the [[spike-triggered average]] (STA), and provides a complementary tool for estimating linear filters in a [[linear-nonlinear-Poisson cascade model|linear-nonlinear-Poisson (LNP)]] cascade model. Unlike STA, the STC can be used to identify a multi-dimensional feature space in which a neuron computes its response.
They're always ready to help, and they're always making changes to the site to make sure you won't have troubles in the first place. The next step is to visit your Word - Press blog dashboard. I thought about what would happen by placing a text widget in the sidebar beneath my banner ad, and so it went. If you are using videos on your site then this is the plugin to use. All this is very simple, and the best thing is that it is totally free, and you don't need a domain name or web hosting. <br><br>Most Word - Press web developers can provide quality CMS website solutions and they price their services at reasonable rates. Best of all, you can still have all the functionality that you desire when you use the Word - Press platform. This may possibly also permit it currently being seriously straightforward to modify the hues within your Ad - Sense code so the ads blend nicely with the many term broad internet word wide web web page in case you can come to your conclusion to run the adverts. By purchasing Word - Press weblogs you can acquire your very own domain title and have total command of your web site. You can also get a free keyword tool that is to determine how strong other competing sites are and number of the searches on the most popular search sites. <br><br>Here are a few reasons as to why people prefer Word - Press over other software's. The following piece of content is meant to make your choice easier and reassure you that the decision to go ahead with this conversion is requited with rich benefits:. Whether or not it's an viewers on your web page, your social media pages, or your web page, those who have a present and effective viewers of "fans" are best best for provide provides, reductions, and deals to help re-invigorate their viewers and add to their main point here. Storing write-ups in advance would have to be neccessary with the auto blogs. Article Source: Stevens works in Internet and Network Marketing. <br><br>Word - Press installation is very easy and hassle free. And, make no mistake,India's Fertility Clinics and IVF specialists are amongst the best in the world,and have been for some time. To do this, you should link your posts to other relevant posts that you've created.  If you cherished this article so you would like to be given more info concerning [http://ppir.at/wordpressdropboxbackup842124 wordpress dropbox backup] nicely visit the site. If you just want to share some picture and want to use it as a dairy, that you want to share with your friends and family members, then blogger would be an excellent choice. The popularity of Word - Press has increased the demand for Word - Press themes and these themes sells like hot cake on the internet. <br><br>As a open source platform Wordpress offers distinctive ready to use themes for free along with custom theme support and easy customization. As a website owner, you can easily manage CMS-based website in a pretty easy and convenient style. In simple words, this step can be interpreted as the planning phase of entire PSD to wordpress conversion process. This is because of the customization that works as a keystone for a SEO friendly blogging portal website. Likewise, professional publishers with a multi author and editor setup often find that Word - Press lack basic user and role management capabilities.
 
STC analysis identifies the stimulus features affecting a neuron's response via an eigenvector decomposition of the spike-triggered [[covariance matrix]].<ref name="brenner00">Brenner, N., Bialek, W., & de Ruyter van Steveninck, R.R. (2000).</ref><ref> Schwartz, O., Chichilnisky, E. J., & Simoncelli, E. P. (2002).</ref><ref name="bialek05">
Bialek, W. & de Ruyter van Steveninck, R. (2005). Arxiv preprint q-bio/0505003.</ref><ref name="schwartz06">Schwartz O., Pillow J. W., Rust N. C., & Simoncelli E. P. (2006).  Spike-triggered neural characterization.  ''Journal of Vision'' 6:484-507</ref> Eigenvectors with eigenvalues significantly larger or smaller than the eigenvalues of the raw stimulus covariance correspond to stimulus axes along which the neural response is enhanced or suppressed.
 
STC analysis is similar to [[principal components analysis]] (PCA), although it differs in that the eigenvectors corresponding to largest ''and'' smallest eigenvalues are used for identifying the feature space.  The STC matrix is also known as the 2nd-order [[Volterra Series|Volterra]] or [[Wiener series|Wiener kernel]].
 
== Mathematical Definition ==
 
===Standard STC===
 
Let <math>\mathbf{x_i}</math> denote the spatio-temporal stimulus vector preceding the <math>i</math>'th time bin, and <math>y_i</math> the spike count in that bin.  The stimuli can be assumed to have zero mean (i.e., <math>E[\mathbf{x}]=0</math>).  If not, it can be transformed to have zero-mean by subtracting the mean stimulus from each vector.  The spike-triggered covariance (STC) is given by
: <math>\mathrm{STC} = \tfrac{1}{n_{s}-1}\sum_{i=1}^T y_i (\mathbf{x_i}-STA)(\mathbf{x_i}-STA)^T,</math>
where <math>n_{s} = \sum y_i</math> is the total number of spikes, and STA is the [[spike-triggered average]].
The covariance of the stimulus is given by
: <math>\mathrm{C} = \tfrac{1}{n_p-1}\sum_{i=1}^T \mathbf{x_i}\mathbf{x_i^T},</math>
where <math>n_p</math> is the number of stimuli <math>\mathbf{x_i}</math> used during the experiment. The eigenvectors of <math>(STC-C)</math> associated to significantly positive eigenvalues correspond to excitatory vectors, whereas eigenvectors associated to significantly negative eigenvalues are inhibitory eigenvectors.<ref name="schwartz06"/>
 
==References==
{{reflist}}
 
==External links==
[http://pillowlab.cps.utexas.edu/code_STC.html Matlab code for STA/STC analysis of neural data]
 
[[Category:Neuroscience]]
[[Category:Neurophysiology]]
[[Category:Electrophysiology]]
[[Category:Computational neuroscience]]
[[Category:Time series analysis]]
 
{{neuroscience-stub}}

Latest revision as of 01:04, 7 May 2014

They're always ready to help, and they're always making changes to the site to make sure you won't have troubles in the first place. The next step is to visit your Word - Press blog dashboard. I thought about what would happen by placing a text widget in the sidebar beneath my banner ad, and so it went. If you are using videos on your site then this is the plugin to use. All this is very simple, and the best thing is that it is totally free, and you don't need a domain name or web hosting.

Most Word - Press web developers can provide quality CMS website solutions and they price their services at reasonable rates. Best of all, you can still have all the functionality that you desire when you use the Word - Press platform. This may possibly also permit it currently being seriously straightforward to modify the hues within your Ad - Sense code so the ads blend nicely with the many term broad internet word wide web web page in case you can come to your conclusion to run the adverts. By purchasing Word - Press weblogs you can acquire your very own domain title and have total command of your web site. You can also get a free keyword tool that is to determine how strong other competing sites are and number of the searches on the most popular search sites.

Here are a few reasons as to why people prefer Word - Press over other software's. The following piece of content is meant to make your choice easier and reassure you that the decision to go ahead with this conversion is requited with rich benefits:. Whether or not it's an viewers on your web page, your social media pages, or your web page, those who have a present and effective viewers of "fans" are best best for provide provides, reductions, and deals to help re-invigorate their viewers and add to their main point here. Storing write-ups in advance would have to be neccessary with the auto blogs. Article Source: Stevens works in Internet and Network Marketing.

Word - Press installation is very easy and hassle free. And, make no mistake,India's Fertility Clinics and IVF specialists are amongst the best in the world,and have been for some time. To do this, you should link your posts to other relevant posts that you've created. If you cherished this article so you would like to be given more info concerning wordpress dropbox backup nicely visit the site. If you just want to share some picture and want to use it as a dairy, that you want to share with your friends and family members, then blogger would be an excellent choice. The popularity of Word - Press has increased the demand for Word - Press themes and these themes sells like hot cake on the internet.

As a open source platform Wordpress offers distinctive ready to use themes for free along with custom theme support and easy customization. As a website owner, you can easily manage CMS-based website in a pretty easy and convenient style. In simple words, this step can be interpreted as the planning phase of entire PSD to wordpress conversion process. This is because of the customization that works as a keystone for a SEO friendly blogging portal website. Likewise, professional publishers with a multi author and editor setup often find that Word - Press lack basic user and role management capabilities.

Retrieved from "https://en.formulasearchengine.com/index.php?title=Codex_Veronensis&oldid=264097"