Statistical Complexity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Complexity write by K.D. Sen. This book was released on 2011-08-27. Statistical Complexity available in PDF, EPUB and Kindle. The understanding of electron density as the carrier of all the information of a multielectronic system is implicit in the theorems of density functional theory. Information theoretical based measures giving a quantitative understanding of statistical complexity of such systems is shaping up as a new area of research in chemical physics. This book is the first monograph of its kind covering the aspects of complexity measure in atoms and molecules.
Stochastic Complexity In Statistical Inquiry
Stochastic Complexity In Statistical Inquiry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Complexity In Statistical Inquiry write by Jorma Rissanen. This book was released on 1998-10-07. Stochastic Complexity In Statistical Inquiry available in PDF, EPUB and Kindle. This book describes how model selection and statistical inference can be founded on the shortest code length for the observed data, called the stochastic complexity. This generalization of the algorithmic complexity not only offers an objective view of statistics, where no prejudiced assumptions of 'true' data generating distributions are needed, but it also in one stroke leads to calculable expressions in a range of situations of practical interest and links very closely with mainstream statistical theory. The search for the smallest stochastic complexity extends the classical maximum likelihood technique to a new global one, in which models can be compared regardless of their numbers of parameters. The result is a natural and far reaching extension of the traditional theory of estimation, where the Fisher information is replaced by the stochastic complexity and the Cramer-Rao inequality by an extension of the Shannon-Kullback inequality. Ideas are illustrated with applications from parametric and non-parametric regression, density and spectrum estimation, time series, hypothesis testing, contingency tables, and data compression.
Statistical Mechanics
Statistical Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Mechanics write by James Sethna. This book was released on 2006-04-07. Statistical Mechanics available in PDF, EPUB and Kindle. In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
Information and Complexity in Statistical Modeling
Information and Complexity in Statistical Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Information and Complexity in Statistical Modeling write by Jorma Rissanen. This book was released on 2007-12-15. Information and Complexity in Statistical Modeling available in PDF, EPUB and Kindle. No statistical model is "true" or "false," "right" or "wrong"; the models just have varying performance, which can be assessed. The main theme in this book is to teach modeling based on the principle that the objective is to extract the information from data that can be learned with suggested classes of probability models. The intuitive and fundamental concepts of complexity, learnable information, and noise are formalized, which provides a firm information theoretic foundation for statistical modeling. Although the prerequisites include only basic probability calculus and statistics, a moderate level of mathematical proficiency would be beneficial.
Computational Complexity and Statistical Physics
Computational Complexity and Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Complexity and Statistical Physics write by Allon Percus. This book was released on 2006. Computational Complexity and Statistical Physics available in PDF, EPUB and Kindle. Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.
