Advances In Probabilistic Graphical Models

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Probabilistic Graphical Models

Luis Enrique Sucar
Probabilistic Graphical Models Book PDF

Author : Luis Enrique Sucar
Publisher : Springer Nature
Page : 370 pages
File Size : 55,9 Mb
Release : 2020-12-23
Category : Computers
ISBN : 9783030619435

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Probabilistic Graphical Models by Luis Enrique Sucar Pdf

This fully updated new edition of a uniquely accessible textbook/reference provides a general introduction to probabilistic graphical models (PGMs) from an engineering perspective. It features new material on partially observable Markov decision processes, causal graphical models, causal discovery and deep learning, as well as an even greater number of exercises; it also incorporates a software library for several graphical models in Python. The book covers the fundamentals for each of the main classes of PGMs, including representation, inference and learning principles, and reviews real-world applications for each type of model. These applications are drawn from a broad range of disciplines, highlighting the many uses of Bayesian classifiers, hidden Markov models, Bayesian networks, dynamic and temporal Bayesian networks, Markov random fields, influence diagrams, and Markov decision processes. Topics and features: Presents a unified framework encompassing all of the main classes of PGMs Explores the fundamental aspects of representation, inference and learning for each technique Examines new material on partially observable Markov decision processes, and graphical models Includes a new chapter introducing deep neural networks and their relation with probabilistic graphical models Covers multidimensional Bayesian classifiers, relational graphical models, and causal models Provides substantial chapter-ending exercises, suggestions for further reading, and ideas for research or programming projects Describes classifiers such as Gaussian Naive Bayes, Circular Chain Classifiers, and Hierarchical Classifiers with Bayesian Networks Outlines the practical application of the different techniques Suggests possible course outlines for instructors This classroom-tested work is suitable as a textbook for an advanced undergraduate or a graduate course in probabilistic graphical models for students of computer science, engineering, and physics. Professionals wishing to apply probabilistic graphical models in their own field, or interested in the basis of these techniques, will also find the book to be an invaluable reference. Dr. Luis Enrique Sucar is a Senior Research Scientist at the National Institute for Astrophysics, Optics and Electronics (INAOE), Puebla, Mexico. He received the National Science Prize en 2016.

Probabilistic Graphical Models

Daphne Koller,Nir Friedman
Probabilistic Graphical Models Book PDF

Author : Daphne Koller,Nir Friedman
Publisher : MIT Press
Page : 1270 pages
File Size : 54,9 Mb
Release : 2009-07-31
Category : Computers
ISBN : 9780262258357

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Probabilistic Graphical Models by Daphne Koller,Nir Friedman Pdf

A general framework for constructing and using probabilistic models of complex systems that would enable a computer to use available information for making decisions. Most tasks require a person or an automated system to reason—to reach conclusions based on available information. The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning algorithms. These models can also be learned automatically from data, allowing the approach to be used in cases where manually constructing a model is difficult or even impossible. Because uncertainty is an inescapable aspect of most real-world applications, the book focuses on probabilistic models, which make the uncertainty explicit and provide models that are more faithful to reality. Probabilistic Graphical Models discusses a variety of models, spanning Bayesian networks, undirected Markov networks, discrete and continuous models, and extensions to deal with dynamical systems and relational data. For each class of models, the text describes the three fundamental cornerstones: representation, inference, and learning, presenting both basic concepts and advanced techniques. Finally, the book considers the use of the proposed framework for causal reasoning and decision making under uncertainty. The main text in each chapter provides the detailed technical development of the key ideas. Most chapters also include boxes with additional material: skill boxes, which describe techniques; case study boxes, which discuss empirical cases related to the approach described in the text, including applications in computer vision, robotics, natural language understanding, and computational biology; and concept boxes, which present significant concepts drawn from the material in the chapter. Instructors (and readers) can group chapters in various combinations, from core topics to more technically advanced material, to suit their particular needs.

Advances in Probabilistic Graphical Models

Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Advances in Probabilistic Graphical Models Book PDF

Author : Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Publisher : Springer
Page : 386 pages
File Size : 54,6 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540834346

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Advances in Probabilistic Graphical Models by Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan Pdf

This book brings together important topics of current research in probabilistic graphical modeling, learning from data and probabilistic inference. Coverage includes such topics as the characterization of conditional independence, the learning of graphical models with latent variables, and extensions to the influence diagram formalism as well as important application fields, such as the control of vehicles, bioinformatics and medicine.

Advances in Probabilistic Graphical Models

Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Advances in Probabilistic Graphical Models Book PDF

Author : Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Publisher : Springer
Page : 386 pages
File Size : 46,6 Mb
Release : 2007-02-05
Category : Mathematics
ISBN : 354068994X

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Advances in Probabilistic Graphical Models by Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan Pdf

This book brings together important topics of current research in probabilistic graphical modeling, learning from data and probabilistic inference. Coverage includes such topics as the characterization of conditional independence, the learning of graphical models with latent variables, and extensions to the influence diagram formalism as well as important application fields, such as the control of vehicles, bioinformatics and medicine.

Probabilistic Machine Learning

Kevin P. Murphy
Probabilistic Machine Learning Book PDF

Author : Kevin P. Murphy
Publisher : MIT Press
Page : 858 pages
File Size : 55,5 Mb
Release : 2022-03-01
Category : Computers
ISBN : 9780262369305

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Probabilistic Machine Learning by Kevin P. Murphy Pdf

A detailed and up-to-date introduction to machine learning, presented through the unifying lens of probabilistic modeling and Bayesian decision theory. This book offers a detailed and up-to-date introduction to machine learning (including deep learning) through the unifying lens of probabilistic modeling and Bayesian decision theory. The book covers mathematical background (including linear algebra and optimization), basic supervised learning (including linear and logistic regression and deep neural networks), as well as more advanced topics (including transfer learning and unsupervised learning). End-of-chapter exercises allow students to apply what they have learned, and an appendix covers notation. Probabilistic Machine Learning grew out of the author’s 2012 book, Machine Learning: A Probabilistic Perspective. More than just a simple update, this is a completely new book that reflects the dramatic developments in the field since 2012, most notably deep learning. In addition, the new book is accompanied by online Python code, using libraries such as scikit-learn, JAX, PyTorch, and Tensorflow, which can be used to reproduce nearly all the figures; this code can be run inside a web browser using cloud-based notebooks, and provides a practical complement to the theoretical topics discussed in the book. This introductory text will be followed by a sequel that covers more advanced topics, taking the same probabilistic approach.

Advances in Probabilistic Graphical Models

Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Advances in Probabilistic Graphical Models Book PDF

Author : Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Publisher : Springer
Page : 386 pages
File Size : 55,6 Mb
Release : 2007-06-12
Category : Mathematics
ISBN : 9783540689966

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Advances in Probabilistic Graphical Models by Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan Pdf

This book brings together important topics of current research in probabilistic graphical modeling, learning from data and probabilistic inference. Coverage includes such topics as the characterization of conditional independence, the learning of graphical models with latent variables, and extensions to the influence diagram formalism as well as important application fields, such as the control of vehicles, bioinformatics and medicine.

Probabilistic Graphical Models

Daphne Koller,Nir Friedman
Probabilistic Graphical Models Book PDF

Author : Daphne Koller,Nir Friedman
Publisher : MIT Press
Page : 1268 pages
File Size : 50,9 Mb
Release : 2009-07-31
Category : Computers
ISBN : 9780262013192

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Probabilistic Graphical Models by Daphne Koller,Nir Friedman Pdf

A general framework for constructing and using probabilistic models of complex systems that would enable a computer to use available information for making decisions. Most tasks require a person or an automated system to reason—to reach conclusions based on available information. The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning algorithms. These models can also be learned automatically from data, allowing the approach to be used in cases where manually constructing a model is difficult or even impossible. Because uncertainty is an inescapable aspect of most real-world applications, the book focuses on probabilistic models, which make the uncertainty explicit and provide models that are more faithful to reality. Probabilistic Graphical Models discusses a variety of models, spanning Bayesian networks, undirected Markov networks, discrete and continuous models, and extensions to deal with dynamical systems and relational data. For each class of models, the text describes the three fundamental cornerstones: representation, inference, and learning, presenting both basic concepts and advanced techniques. Finally, the book considers the use of the proposed framework for causal reasoning and decision making under uncertainty. The main text in each chapter provides the detailed technical development of the key ideas. Most chapters also include boxes with additional material: skill boxes, which describe techniques; case study boxes, which discuss empirical cases related to the approach described in the text, including applications in computer vision, robotics, natural language understanding, and computational biology; and concept boxes, which present significant concepts drawn from the material in the chapter. Instructors (and readers) can group chapters in various combinations, from core topics to more technically advanced material, to suit their particular needs.

Hybrid Random Fields

Antonino Freno,Edmondo Trentin
Hybrid Random Fields Book PDF

Author : Antonino Freno,Edmondo Trentin
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 47,7 Mb
Release : 2011-04-11
Category : Technology & Engineering
ISBN : 9783642203084

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Hybrid Random Fields by Antonino Freno,Edmondo Trentin Pdf

This book presents an exciting new synthesis of directed and undirected, discrete and continuous graphical models. Combining elements of Bayesian networks and Markov random fields, the newly introduced hybrid random fields are an interesting approach to get the best of both these worlds, with an added promise of modularity and scalability. The authors have written an enjoyable book---rigorous in the treatment of the mathematical background, but also enlivened by interesting and original historical and philosophical perspectives. -- Manfred Jaeger, Aalborg Universitet The book not only marks an effective direction of investigation with significant experimental advances, but it is also---and perhaps primarily---a guide for the reader through an original trip in the space of probabilistic modeling. While digesting the book, one is enriched with a very open view of the field, with full of stimulating connections. [...] Everyone specifically interested in Bayesian networks and Markov random fields should not miss it. -- Marco Gori, Università degli Studi di Siena Graphical models are sometimes regarded---incorrectly---as an impractical approach to machine learning, assuming that they only work well for low-dimensional applications and discrete-valued domains. While guiding the reader through the major achievements of this research area in a technically detailed yet accessible way, the book is concerned with the presentation and thorough (mathematical and experimental) investigation of a novel paradigm for probabilistic graphical modeling, the hybrid random field. This model subsumes and extends both Bayesian networks and Markov random fields. Moreover, it comes with well-defined learning algorithms, both for discrete and continuous-valued domains, which fit the needs of real-world applications involving large-scale, high-dimensional data.

Handbook of Graphical Models

Marloes Maathuis,Mathias Drton,Steffen Lauritzen,Martin Wainwright
Handbook of Graphical Models Book PDF

Author : Marloes Maathuis,Mathias Drton,Steffen Lauritzen,Martin Wainwright
Publisher : CRC Press
Page : 666 pages
File Size : 43,5 Mb
Release : 2018-11-12
Category : Mathematics
ISBN : 9780429874239

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Handbook of Graphical Models by Marloes Maathuis,Mathias Drton,Steffen Lauritzen,Martin Wainwright Pdf

A graphical model is a statistical model that is represented by a graph. The factorization properties underlying graphical models facilitate tractable computation with multivariate distributions, making the models a valuable tool with a plethora of applications. Furthermore, directed graphical models allow intuitive causal interpretations and have become a cornerstone for causal inference. While there exist a number of excellent books on graphical models, the field has grown so much that individual authors can hardly cover its entire scope. Moreover, the field is interdisciplinary by nature. Through chapters by leading researchers from different areas, this handbook provides a broad and accessible overview of the state of the art. Key features: * Contributions by leading researchers from a range of disciplines * Structured in five parts, covering foundations, computational aspects, statistical inference, causal inference, and applications * Balanced coverage of concepts, theory, methods, examples, and applications * Chapters can be read mostly independently, while cross-references highlight connections The handbook is targeted at a wide audience, including graduate students, applied researchers, and experts in graphical models.

Learning in Graphical Models

M.I. Jordan
Learning in Graphical Models Book PDF

Author : M.I. Jordan
Publisher : Springer Science & Business Media
Page : 630 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789401150149

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Learning in Graphical Models by M.I. Jordan Pdf

In the past decade, a number of different research communities within the computational sciences have studied learning in networks, starting from a number of different points of view. There has been substantial progress in these different communities and surprising convergence has developed between the formalisms. The awareness of this convergence and the growing interest of researchers in understanding the essential unity of the subject underlies the current volume. Two research communities which have used graphical or network formalisms to particular advantage are the belief network community and the neural network community. Belief networks arose within computer science and statistics and were developed with an emphasis on prior knowledge and exact probabilistic calculations. Neural networks arose within electrical engineering, physics and neuroscience and have emphasised pattern recognition and systems modelling problems. This volume draws together researchers from these two communities and presents both kinds of networks as instances of a general unified graphical formalism. The book focuses on probabilistic methods for learning and inference in graphical models, algorithm analysis and design, theory and applications. Exact methods, sampling methods and variational methods are discussed in detail. Audience: A wide cross-section of computationally oriented researchers, including computer scientists, statisticians, electrical engineers, physicists and neuroscientists.

Graphical Models with R

Søren Højsgaard,David Edwards,Steffen Lauritzen
Graphical Models with R Book PDF

Author : Søren Højsgaard,David Edwards,Steffen Lauritzen
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 49,6 Mb
Release : 2012-02-22
Category : Mathematics
ISBN : 9781461422990

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Graphical Models with R by Søren Højsgaard,David Edwards,Steffen Lauritzen Pdf

Graphical models in their modern form have been around since the late 1970s and appear today in many areas of the sciences. Along with the ongoing developments of graphical models, a number of different graphical modeling software programs have been written over the years. In recent years many of these software developments have taken place within the R community, either in the form of new packages or by providing an R interface to existing software. This book attempts to give the reader a gentle introduction to graphical modeling using R and the main features of some of these packages. In addition, the book provides examples of how more advanced aspects of graphical modeling can be represented and handled within R. Topics covered in the seven chapters include graphical models for contingency tables, Gaussian and mixed graphical models, Bayesian networks and modeling high dimensional data.

Learning Probabilistic Graphical Models in R

David Bellot
Learning Probabilistic Graphical Models in R Book PDF

Author : David Bellot
Publisher : Packt Publishing Ltd
Page : 250 pages
File Size : 46,8 Mb
Release : 2016-04-29
Category : Computers
ISBN : 9781784397418

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Learning Probabilistic Graphical Models in R by David Bellot Pdf

Familiarize yourself with probabilistic graphical models through real-world problems and illustrative code examples in R About This Book Predict and use a probabilistic graphical models (PGM) as an expert system Comprehend how your computer can learn Bayesian modeling to solve real-world problems Know how to prepare data and feed the models by using the appropriate algorithms from the appropriate R package Who This Book Is For This book is for anyone who has to deal with lots of data and draw conclusions from it, especially when the data is noisy or uncertain. Data scientists, machine learning enthusiasts, engineers, and those who curious about the latest advances in machine learning will find PGM interesting. What You Will Learn Understand the concepts of PGM and which type of PGM to use for which problem Tune the model's parameters and explore new models automatically Understand the basic principles of Bayesian models, from simple to advanced Transform the old linear regression model into a powerful probabilistic model Use standard industry models but with the power of PGM Understand the advanced models used throughout today's industry See how to compute posterior distribution with exact and approximate inference algorithms In Detail Probabilistic graphical models (PGM, also known as graphical models) are a marriage between probability theory and graph theory. Generally, PGMs use a graph-based representation. Two branches of graphical representations of distributions are commonly used, namely Bayesian networks and Markov networks. R has many packages to implement graphical models. We'll start by showing you how to transform a classical statistical model into a modern PGM and then look at how to do exact inference in graphical models. Proceeding, we'll introduce you to many modern R packages that will help you to perform inference on the models. We will then run a Bayesian linear regression and you'll see the advantage of going probabilistic when you want to do prediction. Next, you'll master using R packages and implementing its techniques. Finally, you'll be presented with machine learning applications that have a direct impact in many fields. Here, we'll cover clustering and the discovery of hidden information in big data, as well as two important methods, PCA and ICA, to reduce the size of big problems. Style and approach This book gives you a detailed and step-by-step explanation of each mathematical concept, which will help you build and analyze your own machine learning models and apply them to real-world problems. The mathematics is kept simple and each formula is explained thoroughly.

Advances in Bayesian Networks

Jose A. Gámez,Serafin Moral,Antonio Salmerón Cerdan
Advances in Bayesian Networks Book PDF

Author : Jose A. Gámez,Serafin Moral,Antonio Salmerón Cerdan
Publisher : Springer
Page : 328 pages
File Size : 48,9 Mb
Release : 2014-03-12
Category : Mathematics
ISBN : 3642535518

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Advances in Bayesian Networks by Jose A. Gámez,Serafin Moral,Antonio Salmerón Cerdan Pdf

In recent years probabilistic graphical models, especially Bayesian networks and decision graphs, have experienced significant theoretical development within areas such as artificial intelligence and statistics. This carefully edited monograph is a compendium of the most recent advances in the area of probabilistic graphical models such as decision graphs, learning from data and inference. It presents a survey of the state of the art of specific topics of recent interest of Bayesian Networks, including approximate propagation, abductive inferences, decision graphs, and applications of influence. In addition, Advances in Bayesian Networks presents a careful selection of applications of probabilistic graphical models to various fields such as speech recognition, meteorology or information retrieval.

Graphical Models, Exponential Families, and Variational Inference

Martin J. Wainwright,Michael Irwin Jordan
Graphical Models Exponential Families and Variational Inference Book PDF

Author : Martin J. Wainwright,Michael Irwin Jordan
Publisher : Now Publishers Inc
Page : 324 pages
File Size : 40,9 Mb
Release : 2008
Category : Computers
ISBN : 9781601981844

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Graphical Models, Exponential Families, and Variational Inference by Martin J. Wainwright,Michael Irwin Jordan Pdf

The core of this paper is a general set of variational principles for the problems of computing marginal probabilities and modes, applicable to multivariate statistical models in the exponential family.

Probabilistic Graphical Models

Linda C. van der Gaag,Ad J. Feelders
Probabilistic Graphical Models Book PDF

Author : Linda C. van der Gaag,Ad J. Feelders
Publisher : Springer
Page : 609 pages
File Size : 41,8 Mb
Release : 2014-09-11
Category : Computers
ISBN : 9783319114330

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Probabilistic Graphical Models by Linda C. van der Gaag,Ad J. Feelders Pdf

This book constitutes the refereed proceedings of the 7th International Workshop on Probabilistic Graphical Models, PGM 2014, held in Utrecht, The Netherlands, in September 2014. The 38 revised full papers presented in this book were carefully reviewed and selected from 44 submissions. The papers cover all aspects of graphical models for probabilistic reasoning, decision making, and learning.