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Switching in Boolean Circuits and Modelling Cognition through Neuroids: An in-depth analysis of switching lemmas for Boolean circuits and a critique of Valiant's neuroidal model for cognition - Softcover
Synopsis
In computational complexity theory, Håstad's switching lemma is a vital analytical tool for proving lower bounds on the size of constant-depth Boolean circuits. In essence, the switching lemma says that, given an arbitrary formula in disjunctive normal form, if we set some fraction of the variables randomly, then with high probability, the restricted function can be computed by a decision tree of small depth. The first chapter of this book begins with a discussion on Håstad's switching lemma, and its usefulness in proving that PARITY does not belong to AC0. Then, it moves on to discussing the extended switching lemma and its proof. The second chapter critiques the neuroidal model for cognition proposed by Valiant. It starts off by discussing the motivation behind Valiant's work, and then explores the physiology of the brain and some insights from cognitive psychology that led to this model. Next, the actual model is described in extensive detail, and the algorithm put forward by Valiant for implementing unsupervised memorization within his model is presented as a case study. The book concludes by stating the relevance of the neuroidal model for building cognitive computing systems.
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About the Author
Pritam Bhattacharya is a research scholar and teaching assistant in the Dept. of Computer Science & Engineering at The Indian Institute of Technology Kharagpur. He completed his MS from Tata Institute of Fundamental Research, Mumbai in 2014. Pritam is a recipient of the prestigious TCS Research Scholarship. He is also a passionate amateur musician.
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Switching in Boolean Circuits and Modelling Cognition through Neuroids
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LAP LAMBERT Academic Publishing Nov 2016, 2016
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In computational complexity theory, Håstad's switching lemma is a vital analytical tool for proving lower bounds on the size of constant-depth Boolean circuits. In essence, the switching lemma says that, given an arbitrary formula in disjunctive normal form, if we set some fraction of the variables randomly, then with high probability, the restricted function can be computed by a decision tree of small depth. The first chapter of this book begins with a discussion on Håstad's switching lemma, and its usefulness in proving that PARITY does not belong to AC0. Then, it moves on to discussing the extended switching lemma and its proof. The second chapter critiques the neuroidal model for cognition proposed by Valiant. It starts off by discussing the motivation behind Valiant's work, and then explores the physiology of the brain and some insights from cognitive psychology that led to this model. Next, the actual model is described in extensive detail, and the algorithm put forward by Valiant for implementing unsupervised memorization within his model is presented as a case study. The book concludes by stating the relevance of the neuroidal model for building cognitive computing systems. 76 pp. Englisch. Seller Inventory # 9783659968556
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Switching in Boolean Circuits and Modelling Cognition through Neuroids: An in-depth analysis of switching lemmas for Boolean circuits and a critique of Valiant's neuroidal model for cognition
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ISBN 13: 9783659968556
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Switching in Boolean Circuits and Modelling Cognition through Neuroids : An in-depth analysis of switching lemmas for Boolean circuits and a critique of Valiant's neuroidal model for cognition
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LAP LAMBERT Academic Publishing, 2016
ISBN 10: 3659968552
ISBN 13: 9783659968556
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In computational complexity theory, Håstad's switching lemma is a vital analytical tool for proving lower bounds on the size of constant-depth Boolean circuits. In essence, the switching lemma says that, given an arbitrary formula in disjunctive normal form, if we set some fraction of the variables randomly, then with high probability, the restricted function can be computed by a decision tree of small depth. The first chapter of this book begins with a discussion on Håstad's switching lemma, and its usefulness in proving that PARITY does not belong to AC0. Then, it moves on to discussing the extended switching lemma and its proof. The second chapter critiques the neuroidal model for cognition proposed by Valiant. It starts off by discussing the motivation behind Valiant's work, and then explores the physiology of the brain and some insights from cognitive psychology that led to this model. Next, the actual model is described in extensive detail, and the algorithm put forward by Valiant for implementing unsupervised memorization within his model is presented as a case study. The book concludes by stating the relevance of the neuroidal model for building cognitive computing systems. Seller Inventory # 9783659968556
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Switching in Boolean Circuits and Modelling Cognition through Neuroids
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Bhattacharya PritamPritam Bhattacharya is a research scholar and teaching assistant in the Dept. of Computer Science & Engineering at The Indian Institute of Technology Kharagpur. He completed his MS from Tata Institute of Fundamenta. Seller Inventory # 158878267
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Switching in Boolean Circuits and Modelling Cognition through Neuroids
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LAP LAMBERT Academic Publishing Nov 2016, 2016
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ISBN 13: 9783659968556
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In computational complexity theory, Håstad's switching lemma is a vital analytical tool for proving lower bounds on the size of constant-depth Boolean circuits. In essence, the switching lemma says that, given an arbitrary formula in disjunctive normal form, if we set some fraction of the variables randomly, then with high probability, the restricted function can be computed by a decision tree of small depth. The first chapter of this book begins with a discussion on Håstad's switching lemma, and its usefulness in proving that PARITY does not belong to AC0. Then, it moves on to discussing the extended switching lemma and its proof. The second chapter critiques the neuroidal model for cognition proposed by Valiant. It starts off by discussing the motivation behind Valiant's work, and then explores the physiology of the brain and some insights from cognitive psychology that led to this model. Next, the actual model is described in extensive detail, and the algorithm put forward by Valiant for implementing unsupervised memorization within his model is presented as a case study. The book concludes by stating the relevance of the neuroidal model for building cognitive computing systems.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 76 pp. Englisch. Seller Inventory # 9783659968556
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Switching in Boolean Circuits and Modelling Cognition through Neuroids | An in-depth analysis of switching lemmas for Boolean circuits and a critique of Valiant's neuroidal model for cognition
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ISBN 10: 3659968552
ISBN 13: 9783659968556
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Taschenbuch. Condition: Neu. Switching in Boolean Circuits and Modelling Cognition through Neuroids | An in-depth analysis of switching lemmas for Boolean circuits and a critique of Valiant's neuroidal model for cognition | Pritam Bhattacharya | Taschenbuch | 76 S. | Englisch | 2016 | LAP LAMBERT Academic Publishing | EAN 9783659968556 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 107864704
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