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## Introduction to Information Theory

*M. Vidyasagar*

### in Hidden Markov Processes: Theory and Applications to Biology

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691133157
- eISBN:
- 9781400850518
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691133157.003.0002
- Subject:
- Mathematics, Probability / Statistics

This chapter provides an introduction to some elementary aspects of information theory, including entropy in its various forms. Entropy refers to the level of uncertainty associated with a random ... More

## Integrated Objective Bayesian Estimation and Hypothesis Testing

*José M. Bernardo*

### in Bayesian Statistics 9

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199694587
- eISBN:
- 9780191731921
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199694587.003.0001
- Subject:
- Mathematics, Probability / Statistics

The complete final product of Bayesian inference is the posterior distribution of the quantity of interest. Important inference summaries include point estimation, region estimation and precise ... More

## Updating, Supposing, and MAXENT

*Brian Skyrms*

### in From Zeno to Arbitrage: Essays on Quantity, Coherence, and Induction

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199652808
- eISBN:
- 9780191745829
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199652808.003.0010
- Subject:
- Philosophy, Philosophy of Science, Metaphysics/Epistemology

Is minimizing the Kullback-Leibler divergence subject to a constraint a rule of inductive inference, as some have proposed. This chapter suggests that it is better seen as a method for counterfactual ... More

## Semi-Supervised Learning with Conditional Harmonic Mixing

*Burges Christopher J. C. and Platt John C.*

### in Semi-Supervised Learning

- Published in print:
- 2006
- Published Online:
- August 2013
- ISBN:
- 9780262033589
- eISBN:
- 9780262255899
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262033589.003.0014
- Subject:
- Computer Science, Machine Learning

This chapter introduces a general probabilistic formulation called conditional harmonic mixing (CHM), in which the links are directed, a conditional probability matrix is associated with each link, ... More

## A Probability Primer

*Kenji Doya and Shin Ishii*

### in Bayesian Brain: Probabilistic Approaches to Neural Coding

- Published in print:
- 2006
- Published Online:
- August 2013
- ISBN:
- 9780262042383
- eISBN:
- 9780262294188
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262042383.003.0001
- Subject:
- Neuroscience, Disorders of the Nervous System

This chapter introduces the Bayesian theorem of probability, highlights its importance in our understanding of how the brain processes information, and also discusses probability distribution and ... More

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