Probabilistic graphical models (PGMs) are a rich framework for encoding probability distributions over complex domains: joint (multivariate) distributions over large numbers of random variables that interact with each other. These representations sit at the intersection of statistics and computer science, relying on concepts from probability theory, graph algorithms, machine learning, and more. They are the basis for the state-of-the-art methods in a wide variety of applications, such as medical diagnosis, image understanding, speech recognition, natural language processing, and many, many more. They are also a foundational tool in formulating many machine learning problems.
This course is the first in a sequence of three. It describes the two basic PGM representations: Bayesian Networks, which rely on a directed graph; and Markov networks, which use an undirected graph. The course discusses both the theoretical properties of these representations as well as their use in practice. The (highly recommended) honors track contains several hands-on assignments on how to represent some real-world problems. The course also presents some important extensions beyond the basic PGM representation, which allow more complex models to be encoded compactly.
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教学大纲 - 您将从这门课程中学到什么
周
1完成时间为 1 小时
Introduction and Overview
This module provides an overall introduction to probabilistic graphical models, and defines a few of the key concepts that will be used later in the course.
4 个视频 （总计 35 分钟）, 1 个测验
1 个练习
Basic Definitions8分钟
完成时间为 10 小时
Bayesian Network (Directed Models)
In this module, we define the Bayesian network representation and its semantics. We also analyze the relationship between the graph structure and the independence properties of a distribution represented over that graph. Finally, we give some practical tips on how to model a real-world situation as a Bayesian network.
15 个视频 （总计 190 分钟）, 6 个阅读材料, 4 个测验
15 个视频
Reasoning Patterns9分钟
Flow of Probabilistic Influence14分钟
Conditional Independence12分钟
Independencies in Bayesian Networks18分钟
Naive Bayes9分钟
Application - Medical Diagnosis9分钟
Knowledge Engineering Example - SAMIAM14分钟
Basic Operations 13分钟
Moving Data Around 16分钟
Computing On Data 13分钟
Plotting Data 9分钟
Control Statements: for, while, if statements 12分钟
Vectorization 13分钟
Working on and Submitting Programming Exercises 3分钟
6 个阅读材料
Setting Up Your Programming Assignment Environment10分钟
Installing Octave/MATLAB on Windows10分钟
Installing Octave/MATLAB on Mac OS X (10.10 Yosemite and 10.9 Mavericks)10分钟
Installing Octave/MATLAB on Mac OS X (10.8 Mountain Lion and Earlier)10分钟
Installing Octave/MATLAB on GNU/Linux10分钟
More Octave/MATLAB resources10分钟
3 个练习
Bayesian Network Fundamentals6分钟
Bayesian Network Independencies10分钟
Octave/Matlab installation2分钟
周
2完成时间为 1 小时
Template Models for Bayesian Networks
In many cases, we need to model distributions that have a recurring structure. In this module, we describe representations for two such situations. One is temporal scenarios, where we want to model a probabilistic structure that holds constant over time; here, we use Hidden Markov Models, or, more generally, Dynamic Bayesian Networks. The other is aimed at scenarios that involve multiple similar entities, each of whose properties is governed by a similar model; here, we use Plate Models.
4 个视频 （总计 66 分钟）, 1 个测验
4 个视频
Temporal Models - DBNs23分钟
Temporal Models - HMMs12分钟
Plate Models20分钟
1 个练习
Template Models20分钟
完成时间为 11 小时
Structured CPDs for Bayesian Networks
A table-based representation of a CPD in a Bayesian network has a size that grows exponentially in the number of parents. There are a variety of other form of CPD that exploit some type of structure in the dependency model to allow for a much more compact representation. Here we describe a number of the ones most commonly used in practice.
4 个视频 （总计 49 分钟）, 3 个测验
4 个视频
Tree-Structured CPDs14分钟
Independence of Causal Influence13分钟
Continuous Variables13分钟
2 个练习
Structured CPDs8分钟
BNs for Genetic Inheritance PA Quiz22分钟
周
3完成时间为 17 小时
Markov Networks (Undirected Models)
In this module, we describe Markov networks (also called Markov random fields): probabilistic graphical models based on an undirected graph representation. We discuss the representation of these models and their semantics. We also analyze the independence properties of distributions encoded by these graphs, and their relationship to the graph structure. We compare these independencies to those encoded by a Bayesian network, giving us some insight on which type of model is more suitable for which scenarios.
7 个视频 （总计 106 分钟）, 3 个测验
7 个视频
General Gibbs Distribution15分钟
Conditional Random Fields22分钟
Independencies in Markov Networks4分钟
I-maps and perfect maps20分钟
Log-Linear Models22分钟
Shared Features in Log-Linear Models8分钟
2 个练习
Markov Networks8分钟
Independencies Revisited6分钟
周
4完成时间为 21 小时
Decision Making
In this module, we discuss the task of decision making under uncertainty. We describe the framework of decision theory, including some aspects of utility functions. We then talk about how decision making scenarios can be encoded as a graphical model called an Influence Diagram, and how such models provide insight both into decision making and the value of information gathering.
3 个视频 （总计 61 分钟）, 3 个测验
2 个练习
Decision Theory8分钟
Decision Making PA Quiz18分钟
4.7
221 个审阅25%
完成这些课程后已开始新的职业生涯
26%
通过此课程获得实实在在的工作福利
13%
加薪或升职
热门审阅
Prof. Koller did a great job communicating difficult material in an accessible manner. Thanks to her for starting Coursera and offering this advanced course so that we can all learn...Kudos!!
The course was deep, and well-taught. This is not a spoon-feeding course like some others. The only downside were some "mechanical" problems (e.g. code submission didn't work for me).
讲师
Daphne Koller
ProfessorSchool of Engineering
关于 斯坦福大学
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States.
关于 概率图模型 专项课程
Probabilistic graphical models (PGMs) are a rich framework for encoding probability distributions over complex domains: joint (multivariate) distributions over large numbers of random variables that interact with each other. These representations sit at the intersection of statistics and computer science, relying on concepts from probability theory, graph algorithms, machine learning, and more. They are the basis for the state-of-the-art methods in a wide variety of applications, such as medical diagnosis, image understanding, speech recognition, natural language processing, and many, many more. They are also a foundational tool in formulating many machine learning problems.
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Learning Outcomes: By the end of this course, you will be able to
Apply the basic process of representing a scenario as a Bayesian network or a Markov network
Analyze the independence properties implied by a PGM, and determine whether they are a good match for your distribution
Decide which family of PGMs is more appropriate for your task
Utilize extra structure in the local distribution for a Bayesian network to allow for a more compact representation, including tree-structured CPDs, logistic CPDs, and linear Gaussian CPDs
Represent a Markov network in terms of features, via a log-linear model
Encode temporal models as a Hidden Markov Model (HMM) or as a Dynamic Bayesian Network (DBN)
Encode domains with repeating structure via a plate model
Represent a decision making problem as an influence diagram, and be able to use that model to compute optimal decision strategies and information gathering strategies
Honors track learners will be able to apply these ideas for complex, real-world problems
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