Prior Processes And Their Applications
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Prior Processes and Their Applications
This book presents a systematic and comprehensive treatment of various prior processes that have been developed over the past four decades for dealing with Bayesian approach to solving selected nonparametric inference problems. This revised edition has been substantially expanded to reflect the current interest in this area. After an overview of different prior processes, it examines the now pre-eminent Dirichlet process and its variants including hierarchical processes, then addresses new processes such as dependent Dirichlet, local Dirichlet, time-varying and spatial processes, all of which exploit the countable mixture representation of the Dirichlet process. It subsequently discusses various neutral to right type processes, including gamma and extended gamma, beta and beta-Stacy processes, and then describes the Chinese Restaurant, Indian Buffet and infinite gamma-Poisson processes, which prove to be very useful in areas such as machine learning, information retrieval and featural modeling. Tailfree and Polya tree and their extensions form a separate chapter, while the last two chapters present the Bayesian solutions to certain estimation problems pertaining to the distribution function and its functional based on complete data as well as right censored data. Because of the conjugacy property of some of these processes, most solutions are presented in closed form. However, the current interest in modeling and treating large-scale and complex data also poses a problem – the posterior distribution, which is essential to Bayesian analysis, is invariably not in a closed form, making it necessary to resort to simulation. Accordingly, the book also introduces several computational procedures, such as the Gibbs sampler, Blocked Gibbs sampler and slice sampling, highlighting essential steps of algorithms while discussing specific models. In addition, it features crucial steps of proofs and derivations, explains the relationships between different processes and provides further clarifications to promote a deeper understanding. Lastly, it includes a comprehensive list of references, equipping readers to explore further on their own.
Information Technologies and Their Applications
Author: Gulchohra Mammadova
language: en
Publisher: Springer Nature
Release Date: 2024-10-16
The two-volume set CCIS 2225 and 2226 constitutes the proceedings of the Second International Conference on Information Technologies and Their Applications, ITTA 2024, held in Baku, Azerbaijan, during April 23-25, 2024. The 51 full papers and 9 short papers presented were carefully reviewed and selected from 200 submissions. They were organized in the following topical sections: Part I - information technology in intelligent systems; and information technology in modeling. Part II - information technology applied in construction, industry, and engineering; and information technology in decision making.
The Law and Strategy of Biotechnology Patents
Author: Kenneth D. Sibley
language: en
Publisher: Butterworth-Heinemann
Release Date: 2013-10-22
The Law and Strategy of Biotechnology Patents is a compendium of articles that sets to address and unravel the complexities of the laws and issues that apply to biotechnology inventions. The purpose of the book is to explain patent law, with special emphasis on the central role of patent claims, statutory subject matter, novelty, non-obviousness, disclosure considerations, and operation of the judicial system in relation to patents. The text also unveils the extent to which biotechnology merges established law with new requirements. Lawyers, inventors, researchers, technology development and transfer agents, venture capitalists, investment bankers, entrepreneurs, and researchers will find this book an important source of information and knowledge.