## Information Field Theory Lecture Resources

## Script:

Script## Recordings:

Overview:1. Information Theory - Overview

Apr 20, 2020 2. Information Field Theory - Over. I

Apr 20, 2020 3. Information Field Theory - Over. II

Apr 21, 2020

Information Theory:

4. Information Theory - Logic

Apr 21, 2020 5. Plausible Reasoning

Apr 27, 2020 6. Probabilities

Apr 27, 2020 7. Probabilistic Reasoning

Apr 27, 2020 8. Deductive Logic & Stat. Inference

Apr 28, 2020 9. Bayesian Inference

Apr 28, 2020 10. Coin Tossing

May 5, 2020 11. Laplace's Rule of Succession

May 5, 2020 12. Adaptive Information Retrieval

May 6, 2020 13. Decision Theory

May 6, 2020 14. Communication

May 11, 2020 15. Information Measures

May 11, 2020 16. Information Metric

May 12, 2020 17. Maximum Entropy Principle

May 12, 2020 18. Communication & MaxEnt

May 18, 2020 18+i. Why is the KL asymmetric?

May 26, 2020 19. Hard & Soft Data Constraints

May 18, 2020 20. Maximum Entropy Recipe

May 18, 2020 21. Exponential & Poisson Distrib.

May 19, 2020 22. Gaussian Distribution

May 19, 2020 23. Multivariate Gaussian

May 25, 2020 24. MaxEnt in Many Dimensions

May 25, 2020

Information Field Theory:

25. Information Field Theory - Intro

May 25, 2020 26. Wiener Filter

May 26, 2020 27. Wiener Filter in Action

May 26, 2020 28. Optimal Linear Filter

June 8, 2020 29. Linear Response Theory

June 8, 2020 30. Symmetry Filter & Response

June 9, 2020 31. Instrument Response Functions

June 9, 2020 32. Gaussian Fields

June 15, 2020 33. Statistical Homogeneity

June 15, 2020 34. Wiener-Khintchin Theorem

June 16, 2020 35. Filter Function

June 16, 2020 36. Deconvolution

June 22, 2020 37. Fidelity

June 22, 2020 38. Missing Data

June 23, 2020 39. Matrix Algebra & Gauss. Process.

June 23, 2020 40. Wiener Process

June 29, 2020 41. Stochastic Calculus

June 29, 2020 42. Linear Stochastic Systems

June 30, 2020 43. Log-Normal Poisson Model

June 30, 2020 44. Classical Solution

July 7, 2020 45. Free & Interacting Theory

July 7, 2020 46. Local Anharmonic Interaction

July 13, 2020 47. Feynman Diagrams

July 13, 2020 48. Diagrammatic Expectation Values

July 14, 2020 49. Diagrammatic Expectation Values 2

July 14, 2020 50. Log-Normal Poisson Diagrammatic

July 14, 2020 51. Uncertainty Loop Corrections

July 20, 2020 52. Thermodynamical Inference

July 20, 2020 53. Operator Calculus

July 12, 2021

Signal Reconstruction / Numerical Information Field Theory:

101. Linear Reconstruction

September 14, 2020 103. Non-linear Reconstruction

September 14, 2020 104. Metric Gaussian Variational Inference

Jakob Knollmüller, September 15, 2020 106. Sampling

September 16, 2020 107. Geometric Variational Inference

Philipp Frank, September 21, 2022

## Handouts

IT: Handout 1, Handout 2, Handout 3, Handout 4, Handout 5, Handout 6, Handout 7IFT: Handout 8, Handout 9, Handout 10, Handout 11, Handout 12, Handout 13, Handout 14, Handout 15, Handout 16

Additional Notes: Note 1, Note 2,

NIFTy: NIFTy tutorial: IFT 1+2, NIFTy tutorial: Sampling

## Exercises

IFT: Exercise 1, Exercise 2, Exercise 3, Exercise 4, Exercise 5, Exercise 6, Exercise 7, Exercise 8, Exercise 9 for June 19th, Exercise 10for June 26th, ...## Examinations

IT examinations: 2015, 2016, 2017, 2021IFT examinations: 2015, 2016, 2017, 2021