By Dijen Ray-Chaudhuri
Those books are in line with the lawsuits of a workshop which was once an essential component of the 1987-88 IMA software on utilized Combinatorics. Coding thought and layout thought are parts of combinatorics which discovered wealthy purposes of algebraic buildings and are heavily interconnected. Coding idea has constructed right into a wealthy and lovely instance of summary refined arithmetic being utilized effectively to resolve real-life difficulties of verbal exchange.
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Extra info for Coding Theory and Design Theory: Part II: Design Theory
Where the two differ is that sparse coding does not attempt to remove total redundancy. Instead, it shifts redundancy to the response histograms of individual cells (Atick, 1992b, pp. 4). Although sparse coding is primarily directed at explaining simple cell RFs in the cortex, it has been shown that filters similar to those of ganglion cells will produce kurtotic output distributions in response to natural images, suggesting that ganglion cells too are attempting to sparsify their input (Field, 1994).
Explore the explanatory power of considering one very important constraint: the use of energy. This is conceptually very neat, since there is a universal biological unit of currency, the ATP molecule, allowing the costs of various neuronal transduction processes to be related to other important costs to an insect, such as the amount of energy required to fly. There are a wealth of ideas here and the insect is an ideal animal to explore them, given our good knowledge of physiology, and the relative simplicity of collecting the large amounts of physiological data required to estimate the statistics required for information theoretical descriptions.
In all this work, it is assumed that images have Gaussian statistics or at least cells behave as if they have. 3). Yet Field (1994) argues that only by considering the phase spectrum of natural images (that is, how Fourier components are aligned) may the local nature of ganglion cell RFs be explained. There are many possible RF profiles that may produce a given power spectrum. However, not all are localised. What is special about a local RF is that phases are aligned across a broad bandwidth. It is proposed that this is required in ganglion cells because natural images contain local structure of corresponding phase alignment (Field, 1994; Olshausen and Field, 1996a).
Coding Theory and Design Theory: Part II: Design Theory by Dijen Ray-Chaudhuri