
Foundations of Probabilistic Programming
- English
- PDF
- Available on iOS & Android
Foundations of Probabilistic Programming
About this book
What does a probabilistic program actually compute? How can one formally reason about such probabilistic programs? This valuable guide covers such elementary questions and more. It provides a state-of-the-art overview of the theoretical underpinnings of modern probabilistic programming and their applications in machine learning, security, and other domains, at a level suitable for graduate students and non-experts in the field. In addition, the book treats the connection between probabilistic programs and mathematical logic, security (what is the probability that software leaks confidential information?), and presents three programming languages for different applications: Excel tables, program testing, and approximate computing. This title is also available as Open Access on Cambridge Core.
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Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright information
- Contents
- Contributors
- Preface
- 1 Semantics of Probabilistic Programming: A Gentle Introduction
- 2 Probabilistic Programs as Measures
- 3 An Application of Computable Distributions to the Semantics of Probabilistic Programs
- 4 On Probabilistic λ-Calculi
- 5 Probabilistic Couplings from Program Logics
- 6 Expected Runtime Analysis by Program Verification
- 7 Termination Analysis of Probabilistic Programs with Martingales
- 8 Quantitative Analysis of Programs with Probabilities and Concentration of Measure Inequalities
- 9 The Logical Essentials of Bayesian Reasoning
- 10 Quantitative Equational Reasoning
- 11 Probabilistic Abstract Interpretation: Sound Inference and Application to Privacy
- 12 Quantitative Information Flow with Monads in Haskell
- 13 Luck: A Probabilistic Language for Testing
- 14 Tabular: Probabilistic Inference from the Spreadsheet
- 15 Programming Unreliable Hardware