1.

Record Nr.

UNINA9910464287403321

Autore

Piazza Tommaso <1972->

Titolo

A priori knowledge [[electronic resource] ] : toward a phenomenological explanation / / Tommaso Piazza

Pubbl/distr/stampa

Frankfurt ; ; New Brunswick, : Ontos Verlag, 2007

ISBN

3-11-032564-0

Descrizione fisica

1 online resource (219 p.)

Collana

Phenomenology & Mind ; ; 10

Disciplina

121/.3

Soggetti

A priori

Phenomenology

Knowledge, Theory of

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [185]-193).

Nota di contenuto

Front matter -- Table of Contents -- Introduction -- A Priori, Analyticity, and Implicit Definition -- Realism about Logic -- Objective Knowledge -- Phenomenology and Rational Insight -- Conclusion -- References

Sommario/riassunto

The book sets out to analyze the notion of a priori justification and of a priori knowledge. The most influential explanations of the a priori within the contemporary analytic tradition are analyzed. It is shown that the theories which group around the notion of implicit definition ultimately entail that the propositions which can be known a priori are to be analyzed along conventionalist lines. It is argued that the notion of objective a priori knowledge requires a commitment to the existence of a faculty which is the source of and justifies that kind of knowledge. The existence and functioni



2.

Record Nr.

UNINA9910786777403321

Autore

Vidyasagar M (Mathukumalli), <1947->

Titolo

Hidden Markov processes : theory and applications to biology / / M. Vidyasagar

Pubbl/distr/stampa

Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2014

©2014

ISBN

1-4008-5051-7

Edizione

[Course Book]

Descrizione fisica

1 online resource (303 p.)

Collana

Princeton Series in Applied Mathematics

Classificazione

SK 820

Disciplina

570.285

Soggetti

Computational biology

Markov processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- Contents -- Preface -- PART 1. Preliminaries -- Chapter One. Introduction to Probability and Random Variables -- Chapter Two. Introduction to Information Theory -- Chapter Three. Nonnegative Matrices -- PART 2. Hidden Markov Processes -- Chapter Four. Markov Processes -- Chapter Five. Introduction to Large Deviation Theory -- Chapter Six. Hidden Markov Processes: Basic Properties -- Chapter Seven. Hidden Markov Processes: The Complete Realization Problem -- PART 3. Applications to Biology -- Chapter Eight. Some Applications to Computational Biology -- Chapter Nine. BLAST Theory -- Bibliography -- Index -- Back matter

Sommario/riassunto

This book explores important aspects of Markov and hidden Markov processes and the applications of these ideas to various problems in computational biology. The book starts from first principles, so that no previous knowledge of probability is necessary. However, the work is rigorous and mathematical, making it useful to engineers and mathematicians, even those not interested in biological applications. A range of exercises is provided, including drills to familiarize the reader with concepts and more advanced problems that require deep thinking about the theory. Biological applications are taken from post-genomic biology, especially genomics and proteomics. The topics examined include standard material such as the Perron-Frobenius theorem,



transient and recurrent states, hitting probabilities and hitting times, maximum likelihood estimation, the Viterbi algorithm, and the Baum-Welch algorithm. The book contains discussions of extremely useful topics not usually seen at the basic level, such as ergodicity of Markov processes, Markov Chain Monte Carlo (MCMC), information theory, and large deviation theory for both i.i.d and Markov processes. The book also presents state-of-the-art realization theory for hidden Markov models. Among biological applications, it offers an in-depth look at the BLAST (Basic Local Alignment Search Technique) algorithm, including a comprehensive explanation of the underlying theory. Other applications such as profile hidden Markov models are also explored.