Download PDF by Arthur B. Markman (Ed.): Cognitive Science - A Multidisciplinary Journal, Volume 35,

By Arthur B. Markman (Ed.)

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Extra info for Cognitive Science - A Multidisciplinary Journal, Volume 35, Issue 1

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We start with a linear transformation. That is, if the first group of neurons represents x and the second group represents y, we want y = Mx, where M is an arbitrary matrix. Both x and y are vectors of arbitrary size. To achieve this, Eq. 1 dictates that the current entering the second group of neurons should be as follows, where we use the index j for the elements of the second group. ~ Á x þ Jbias Jj ¼ aj / j j ð6Þ If we substitute x^ for x using Eq. 5, we can express the current coming into the second group of neurons as a function of the current leaving the first group.

B) Description length of data from the adults’ database, comparing hypotheses from the children’s and adults’ database. (C) Performance on target pronunciations from the adults’ database, comparing hypotheses from the children’s and adults’ database. were output as the most probable regardless of whether the hypothesis was derived from the children’s or adults’ database. This suggests that grapheme-sized mappings derived from children’s text generalize well to adults’ text. , 1995; Vousden, 2008): Pronunciation is described most concisely by the onset–body hypothesis for both databases (Fig.

We can also perform the opposite operation: using the pattern of spikes to recover the original value of x. We write this as x^ to indicate that it is an estimate, and this is used above to determine the output vectors from our simulations (the right-most image in Fig. 7 and the central image in Fig. 8). The first step in calculating x^ is to determine the linearly optimal decoding vectors u for each neuron as per Eq. 4, where ai is the firing rate for neuron i. , Salinas & Abbott, 1994). / ¼ CÀ1 !

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Cognitive Science - A Multidisciplinary Journal, Volume 35, Issue 1 by Arthur B. Markman (Ed.)


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