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Mcmc from scratch [Documento eletrónico] : a practical introduction to markov chain monte carlo / by Masanori Hanada, So Matsuura

Main Author: Hanada, Masanori, autor de citaçãoCoauthor: Matsuura, So, autor de citaçãoLanguage: eng.Country: SG - Singapura.Publication: Singapore : Springer Nature Singapore, 2022Description: IX, 194 p. : il.ISBN: 978-981-19-2715-7.Subject - Topical Name: Algorithms | Statistics  | Machine learning | Particles (Nuclear physics) | Biophysics Online Resources:Click here to access online
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Item type Current library Collection Call number Copy number Status Date due Barcode
E-Books Biblioteca NOVA FCT Online Não Ficção QA76.9.A43.SPR FCT (Browse shelf(Opens below)) 1 Available 95762

This textbook explains the fundamentals of Markov Chain Monte Carlo (MCMC) without assuming advanced knowledge of mathematics and programming. MCMC is a powerful technique that can be used to integrate complicated functions or to handle complicated probability distributions. MCMC is frequently used in diverse fields where statistical methods are important - e.g. Bayesian statistics, quantum physics, machine learning, computer science, computational biology, and mathematical economics. This book aims to equip readers with a sound understanding of MCMC and enable them to write simulation codes by themselves. The content consists of six chapters. Following Chapter 2, which introduces readers to the Monte Carlo algorithm and highlights the advantages of MCMC, Chapter 3 presents the general aspects of MCMC. Chapter 4 illustrates the essence of MCMC through the simple example of the Metropolis algorithm. In turn, Chapter 5 explains the HMC algorithm, Gibbs sampling algorithm and Metropolis-Hastings algorithm, discussing their pros, cons and pitfalls. Lastly, Chapter 6 presents several applications of MCMC. Including a wealth of examples and exercises with solutions, as well as sample codes and further math topics in the Appendix, this book offers a valuable asset for students and beginners in various fields.

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