Bayesian Nonparametric Methods for Non-exchangeable Random Structures

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Bayesian Nonparametric Methods for Non-exchangeable Random Structures by : Giuseppe Di Benedetto

Download or read book Bayesian Nonparametric Methods for Non-exchangeable Random Structures written by Giuseppe Di Benedetto and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Nonparametric Methods for Non-exchangeable Data

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ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (852 download)

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Book Synopsis Bayesian Nonparametric Methods for Non-exchangeable Data by : Nicholas J. Foti

Download or read book Bayesian Nonparametric Methods for Non-exchangeable Data written by Nicholas J. Foti and published by . This book was released on 2013 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian nonparametric methods have become increasingly popular in machine learning for their ability to allow the data to determine model complexity. In particular, Bayesian nonparametric versions of common latent variable models can learn as effective dimension of the latent space. Examples include mixture models, latent feature models and topic models, where the number of components, features, or topics need not be specified a priori. A drawback of many of these models is that they assume the observations are exchangeable, that is, any dependencies between observations are ignored. This thesis contributes general methods to incorporate covariates into Bayesian nonparametric models and inference algorithms to learn with these models. First, we will present a flexible class of dependent Bayesian nonparametric priors to induce covariate-dependence into a variety of latent variable models used in machine learning. The proposed framework has nice analytic properites and admits a simple inference algorithm. We show how the framework can be used to construct a covariate-dependent latent feature model and a time-varying topic model. Second, we describe the first general purpose inference algorithm for a large family of dependent mixture models. Using the idea of slice-sampling, the algorithm is truncation-free and fast, showing that inference can de done efficiently despite the added complexity that covariate-dependence entails. Last, we construct a Bayesian nonparametric framework to couple multiple latent variable models and apply the framework to learning from multiple views of data.

Bayesian Nonparametrics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226540
Total Pages : 311 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Bayesian Nonparametrics by : J.K. Ghosh

Download or read book Bayesian Nonparametrics written by J.K. Ghosh and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of Bayesian nonparametric methods and the theory behind them. It will also appeal to statisticians in general. The book is primarily aimed at graduate students and can be used as the text for a graduate course in Bayesian non-parametrics.

Bayesian Nonparametric Data Analysis

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Publisher : Springer
ISBN 13 : 3319189689
Total Pages : 203 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Bayesian Nonparametric Data Analysis by : Peter Müller

Download or read book Bayesian Nonparametric Data Analysis written by Peter Müller and published by Springer. This book was released on 2015-06-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews nonparametric Bayesian methods and models that have proven useful in the context of data analysis. Rather than providing an encyclopedic review of probability models, the book’s structure follows a data analysis perspective. As such, the chapters are organized by traditional data analysis problems. In selecting specific nonparametric models, simpler and more traditional models are favored over specialized ones. The discussed methods are illustrated with a wealth of examples, including applications ranging from stylized examples to case studies from recent literature. The book also includes an extensive discussion of computational methods and details on their implementation. R code for many examples is included in online software pages.

Bayesian Nonparametrics

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Publisher : Cambridge University Press
ISBN 13 : 1139484605
Total Pages : 309 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Bayesian Nonparametrics by : Nils Lid Hjort

Download or read book Bayesian Nonparametrics written by Nils Lid Hjort and published by Cambridge University Press. This book was released on 2010-04-12 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian nonparametrics works - theoretically, computationally. The theory provides highly flexible models whose complexity grows appropriately with the amount of data. Computational issues, though challenging, are no longer intractable. All that is needed is an entry point: this intelligent book is the perfect guide to what can seem a forbidding landscape. Tutorial chapters by Ghosal, Lijoi and Prünster, Teh and Jordan, and Dunson advance from theory, to basic models and hierarchical modeling, to applications and implementation, particularly in computer science and biostatistics. These are complemented by companion chapters by the editors and Griffin and Quintana, providing additional models, examining computational issues, identifying future growth areas, and giving links to related topics. This coherent text gives ready access both to underlying principles and to state-of-the-art practice. Specific examples are drawn from information retrieval, NLP, machine vision, computational biology, biostatistics, and bioinformatics.

Nonparametric Bayesian Methods for Extracting Structure from Data

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Nonparametric Bayesian Methods for Extracting Structure from Data by : Edward Meeds

Download or read book Nonparametric Bayesian Methods for Extracting Structure from Data written by Edward Meeds and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Composing Deep Learning and Bayesian Nonparametric Methods

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Composing Deep Learning and Bayesian Nonparametric Methods by : Aonan Zhang

Download or read book Composing Deep Learning and Bayesian Nonparametric Methods written by Aonan Zhang and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in Bayesian methods largely focus on non-conjugate models featured with extensive use of black-box functions: continuous functions implemented with neural networks. Using deep neural networks, Bayesian models can reasonably fit big data while at the same time capturing model uncertainty. This thesis targets at a more challenging problem: how do we model general random objects, including discrete ones, using random functions? Our conclusion is: many (discrete) random objects are in nature a composition of Poisson processes and random functions}. Thus, all discreteness is handled through the Poisson process while random functions captures the rest complexities of the object. Thus the title: composing deep learning and Bayesian nonparametric methods. This conclusion is not a conjecture. In spacial cases such as latent feature models , we can prove this claim by working on infinite dimensional spaces, and that is how Bayesian nonparametric kicks in. Moreover, we will assume some regularity assumptions on random objects such as exchangeability.

Fundamentals of Nonparametric Bayesian Inference

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Publisher : Cambridge University Press
ISBN 13 : 1108210120
Total Pages : 671 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Fundamentals of Nonparametric Bayesian Inference by : Subhashis Ghosal

Download or read book Fundamentals of Nonparametric Bayesian Inference written by Subhashis Ghosal and published by Cambridge University Press. This book was released on 2017-06-26 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explosive growth in computing power has made Bayesian methods for infinite-dimensional models - Bayesian nonparametrics - a nearly universal framework for inference, finding practical use in numerous subject areas. Written by leading researchers, this authoritative text draws on theoretical advances of the past twenty years to synthesize all aspects of Bayesian nonparametrics, from prior construction to computation and large sample behavior of posteriors. Because understanding the behavior of posteriors is critical to selecting priors that work, the large sample theory is developed systematically, illustrated by various examples of model and prior combinations. Precise sufficient conditions are given, with complete proofs, that ensure desirable posterior properties and behavior. Each chapter ends with historical notes and numerous exercises to deepen and consolidate the reader's understanding, making the book valuable for both graduate students and researchers in statistics and machine learning, as well as in application areas such as econometrics and biostatistics.

Bayesian Nonparametric Methods with Applications in Longitudinal, Heterogeneous and Spatiotemporal Data

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Publisher :
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4.:/5 (935 download)

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Book Synopsis Bayesian Nonparametric Methods with Applications in Longitudinal, Heterogeneous and Spatiotemporal Data by : Li Duan

Download or read book Bayesian Nonparametric Methods with Applications in Longitudinal, Heterogeneous and Spatiotemporal Data written by Li Duan and published by . This book was released on 2015 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonparametric methods provide flexible accommodation to the different structures in the data without imposing strong assumptions. Bayesian consideration of nonparametric models, such as Gaussian process, Dirichlet process and decision tree enables straightforward computation and automatic regularization. In this dissertation, we developed three novel nonparametric methods for handling different types of data. For the longitudinal and time-to-event data, we utilized the multiple subject composition and repeated measurement, and designed a hierarchical Gaussian process that enables extrapolation for personalized forecast. For the regression of heterogeneous data, we combined the clustering properties of the Dirichlet process and the nonlinear incorporation of predictors in decision tree, and developed an efficient method for handling heterogeneity and ensemble estimation. For the spatiotemporal data, we first designed a performant algorithm for stationary Gaussian process, and then extended it to allow non-stationarity and non-Gaussianness of the complex data. We demonstrate the advantages of the Bayesian modeling in latent variable sampling, missing data handling, algorithm acceleration, accurate prediction and probabilistic interpretation.

Fundamentals of Nonparametric Bayesian Inference

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Publisher : Cambridge University Press
ISBN 13 : 0521878268
Total Pages : 671 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Fundamentals of Nonparametric Bayesian Inference by : Subhashis Ghosal

Download or read book Fundamentals of Nonparametric Bayesian Inference written by Subhashis Ghosal and published by Cambridge University Press. This book was released on 2017-06-26 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian nonparametrics comes of age with this landmark text synthesizing theory, methodology and computation.

Bayesian Methods for Nonlinear Classification and Regression

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Publisher : John Wiley & Sons
ISBN 13 : 9780471490364
Total Pages : 302 pages
Book Rating : 4.4/5 (93 download)

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Book Synopsis Bayesian Methods for Nonlinear Classification and Regression by : David G. T. Denison

Download or read book Bayesian Methods for Nonlinear Classification and Regression written by David G. T. Denison and published by John Wiley & Sons. This book was released on 2002-05-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bei der Regressionsanalyse von Datenmaterial erhält man leider selten lineare oder andere einfache Zusammenhänge (parametrische Modelle). Dieses Buch hilft Ihnen, auch komplexere, nichtparametrische Modelle zu verstehen und zu beherrschen. Stärken und Schwächen jedes einzelnen Modells werden durch die Anwendung auf Standarddatensätze demonstriert. Verbreitete nichtparametrische Modelle werden mit Hilfe von Bayes-Verfahren in einen kohärenten wahrscheinlichkeitstheoretischen Zusammenhang gebracht.

Bayesian Data Analysis, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439840954
Total Pages : 677 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Bayesian Data Analysis, Third Edition by : Andrew Gelman

Download or read book Bayesian Data Analysis, Third Edition written by Andrew Gelman and published by CRC Press. This book was released on 2013-11-01 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Bayesian Nonparametrics for Causal Inference and Missing Data

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Publisher :
ISBN 13 : 9780429324222
Total Pages : 0 pages
Book Rating : 4.3/5 (242 download)

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Book Synopsis Bayesian Nonparametrics for Causal Inference and Missing Data by : Michael Joseph Daniels

Download or read book Bayesian Nonparametrics for Causal Inference and Missing Data written by Michael Joseph Daniels and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian Nonparametrics for Causal Inference and Missing Data provides an overview of flexible Bayesian nonparametric (BNP) methods for modeling joint or conditional distributions and functional relationships, and their interplay with causal inference and missing data. This book emphasizes the importance of making untestable assumptions to identify estimands of interest, such as missing at random assumption for missing data and unconfoundedness for causal inference in observational studies. Unlike parametric methods, the BNP approach can account for possible violations of assumptions and minimize concerns about model misspecification. The overall strategy is to first specify BNP models for observed data and then to specify additional uncheckable assumptions to identify estimands of interest. The book is divided into three parts. Part I develops the key concepts in causal inference and missing data and reviews relevant concepts in Bayesian inference. Part II introduces the fundamental BNP tools required to address causal inference and missing data problems. Part III shows how the BNP approach can be applied in a variety of case studies. The datasets in the case studies come from electronic health records data, survey data, cohort studies, and randomized clinical trials. Features Thorough discussion of both BNP and its interplay with causal inference and missing data How to use BNP and g-computation for causal inference and non-ignorable missingness How to derive and calibrate sensitivity parameters to assess sensitivity to deviations from uncheckable causal and/or missingness assumptions Detailed case studies illustrating the application of BNP methods to causal inference and missing data R code and/or packages to implement BNP in causal inference and missing data problems The book is primarily aimed at researchers and graduate students from statistics and biostatistics. It will also serve as a useful practical reference for mathematically sophisticated epidemiologists and medical researchers.

Bayesian Methods

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Publisher : CRC Press
ISBN 13 : 1420010824
Total Pages : 696 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Bayesian Methods by : Jeff Gill

Download or read book Bayesian Methods written by Jeff Gill and published by CRC Press. This book was released on 2007-11-26 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Bayesian Methods: A Social and Behavioral Sciences Approach helped pave the way for Bayesian approaches to become more prominent in social science methodology. While the focus remains on practical modeling and basic theory as well as on intuitive explanations and derivations without skipping steps, this second edition incorpora

Nonlinear Mixture Models: A Bayesian Approach

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Publisher : World Scientific
ISBN 13 : 1783266279
Total Pages : 296 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Nonlinear Mixture Models: A Bayesian Approach by : Tatiana V Tatarinova

Download or read book Nonlinear Mixture Models: A Bayesian Approach written by Tatiana V Tatarinova and published by World Scientific. This book was released on 2014-12-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by two mathematicians from the University of Southern California, provides a broad introduction to the important subject of nonlinear mixture models from a Bayesian perspective. It contains background material, a brief description of Markov chain theory, as well as novel algorithms and their applications. It is self-contained and unified in presentation, which makes it ideal for use as an advanced textbook by graduate students and as a reference for independent researchers. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.In this book the authors present Bayesian methods of analysis for nonlinear, hierarchical mixture models, with a finite, but possibly unknown, number of components. These methods are then applied to various problems including population pharmacokinetics and gene expression analysis. In population pharmacokinetics, the nonlinear mixture model, based on previous clinical data, becomes the prior distribution for individual therapy. For gene expression data, one application included in the book is to determine which genes should be associated with the same component of the mixture (also known as a clustering problem). The book also contains examples of computer programs written in BUGS. This is the first book of its kind to cover many of the topics in this field.

Probabilistic Symmetries and Invariance Principles

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387251158
Total Pages : 536 pages
Book Rating : 4.2/5 (511 download)

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Book Synopsis Probabilistic Symmetries and Invariance Principles by : Olav Kallenberg

Download or read book Probabilistic Symmetries and Invariance Principles written by Olav Kallenberg and published by Springer Science & Business Media. This book was released on 2005-07-27 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of the three basic symmetries of probability theory—contractability, exchangeability, and rotatability—defined as invariance in distribution under contractions, permutations, and rotations. Originating with the pioneering work of de Finetti from the 1930's, the theory has evolved into a unique body of deep, beautiful, and often surprising results, comprising the basic representations and invariance properties in one and several dimensions, and exhibiting some unexpected links between the various symmetries as well as to many other areas of modern probability. Most chapters require only some basic, graduate level probability theory, and should be accessible to any serious researchers and graduate students in probability and statistics. Parts of the book may also be of interest to pure and applied mathematicians in other areas. The exposition is formally self-contained, with detailed references provided for any deeper facts from real analysis or probability used in the book. Olav Kallenberg received his Ph.D. in 1972 from Chalmers University in Gothenburg, Sweden. After teaching for many years at Swedish universities, he moved in 1985 to the US, where he is currently Professor of Mathematics at Auburn University. He is well known for his previous books Random Measures (4th edition, 1986) and Foundations of Modern Probability (2nd edition, 2002) and for numerous research papers in all areas of probability. In 1977, he was the second recipient ever of the prestigious Rollo Davidson Prize from Cambridge University. In 1991–94, he served as the Editor in Chief of Probability Theory and Related Fields. Professor Kallenberg is an elected fellow of the Institute of Mathematical Statistics.

Bayesian Nonparametric Methods for Missing Data and Causal Inference

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Publisher : Chapman & Hall/CRC
ISBN 13 : 9781032456942
Total Pages : 0 pages
Book Rating : 4.4/5 (569 download)

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Book Synopsis Bayesian Nonparametric Methods for Missing Data and Causal Inference by : Michael Joseph Daniels

Download or read book Bayesian Nonparametric Methods for Missing Data and Causal Inference written by Michael Joseph Daniels and published by Chapman & Hall/CRC. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Bayesian nonparametric (BNP) methods can be used to flexibly model joint or conditional distributions, as well as functional relationships. These methods, along with causal and/or missingness assumptions, can be used with the g-formula to infer causal effects"--