Product Description: Recent years have seen an explosion of new mathematical results on learning and processing in neural networks. This body of results rests on a breadth of mathematical background which even few specialists possess. In a format intermediate between a textbook and a collection of research articles, this book has been assembled to present a sample of these results, and to fill in the necessary background, in such areas as computability theory, computational complexity theory, the theory of analog computation, stochastic processes, dynamical systems, control theory, time-series analysis, Bayesian analysis, regularization theory, information theory, computational learning theory, and mathematical statistics...read more

An integrated connectionist/symbolic architecture of the mind/brain, applied to neural/genomic realisation of grammar; aequisition, processing, and typology in phonology and syntax; and foundations of cognitive explanation. Despite their apparently divergent accounts of higher cognition, cognitive theories based on neural computation and those employing symbolic computation can in fact strengthen one another. To substantiate this controversial claim, this landmark work develops in depth a cognitive architecture based in neural computation but supporting formally explicit higher-level symbolic descriptions, including new grammar formalisms. Detailed studies in both phonology and syntax provide arguments that these grammatical theories and their neural network realisations enable deeper explanations of early acquisition, processing difficulty, cross-linguistic typology, and the possibility of genomically encoding universal principles of grammar. Foundational questions concerning the explanatory status of symbols for central problems such as the unbounded productivity of higher cognition are also given proper treatment. The work is made accessible to scholars in different fields of cognitive science through tutorial chapters and numerous expository boxes providing background material from several disciplines. Examples common to different chapters facilitate the transition from more basic to more sophisticated treatments. Details of method, formalism, and foundation are presented in later chapters, offering a wealth of new results to specialists in psycholinguistics, language acquisition, theoretical linguistics, computational linguistics, computational neuroscience, connectionist modelling, and philosophy of mind.

This book is the final version of the widely-circulated 1993 Technical Report that introduces a conception of grammar in which well-formedness is defined as optimality with respect to a ranked set of universal constraints. Final version of the widely circulated 1993 Technical Report that was the seminal work in Optimality Theory, never before available in book format. Serves as an excellent introduction to the principles and practice of Optimality Theory. Offers proposals and analytic commentary that suggest many directions for further development for the professional.

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