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A Generative Theory of Shape

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A generative theory of shape / Michael Leyton - Details - Trove

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Seller Inventory VIB New Book. Shipped from UKs. Established seller since Seller Inventory LQ Delivered from our UK warehouse in 4 to 14 business days. Never used! Seller Inventory Book Description Springer. Seller Inventory ING KG, Germany, Language: English. Brand new Book. The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence - 1 maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and 2 maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets.

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We shall show that, if generativity satis? The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability.

The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically.