From fb1b416fc9f18200a1491e7a8860232c4e203f72 Mon Sep 17 00:00:00 2001 From: Wolfhart Feldmeier Date: Thu, 11 Jan 2024 11:45:07 +0100 Subject: [PATCH 1/2] WS 23/24 schedule --- Overview.md | 88 +++++++++++++++-------------------------------------- README.md | 2 +- 2 files changed, 26 insertions(+), 64 deletions(-) diff --git a/Overview.md b/Overview.md index 3a840e9..db9cebb 100644 --- a/Overview.md +++ b/Overview.md @@ -6,110 +6,72 @@ Wolfhart Feldmeier - Jena University Hospital - wolfhart.feldmeier@uni-jena.de ## Dates and course organization -* Six weeks, two 2-hour lectures plus one 2-hour exercises session per week +* Four weeks, two 2-hour lectures plus one 2-hour exercise session per week * Lectures on Monday and Friday, exercises on Wednesday * Timetable -| Lecture | Date | Weekday | Time | Topic | -|:---------:|:------------:|:-------:|---------------|:----------------------------------| -| 1 | Dec 16, 2022 | Fri | 10:15 - 11:45 | Introduction | -| 2 | Jan 02, 2023 | Mon | 10:15 - 11:45 | Direct Sampling Methods | -| Ex 1 | Jan 04, 2023 | Wed | 10:15 - 11:45 | Exercises for lectures 1-2 | -| 3 | Jan 06, 2023 | Fri | 10:15 - 11:45 | Rejection & Importance Sampling | -| 4 | Jan 09, 2023 | Mon | 10:15 - 11:45 | Markov chains, MCMC | -| Ex 2 | Jan 11, 2023 | Wed | 10:15 - 11:45 | Exercises for lectures 3-4 | -| 5 | Jan 13, 2023 | Fri | 10:15 - 11:45 | The Metropolis-Hastings algorithm | -| 6 | Jan 16, 2023 | Mon | 10:15 - 11:45 | Gibbs sampling | -| Ex 3 | Jan 18, 2023 | Wed | 10:15 - 11:45 | Exercises for lectures 5-6 | -| 7 | Jan 20, 2023 | Fri | 10:15 - 11:45 | Hamiltonian Monte Carlo | -| 8 | Jan 23, 2023 | Mon | 10:15 - 11:45 | Practical aspects of HMC | -| Ex 4 | Jan 25, 2023 | Wed | 10:15 - 11:45 | Exercises for lectures 7-8 | -| 9 | Jan 27, 2023 | Fri | 10:15 - 11:45 | Slice sampling | -| 10 | Jan 30, 2023 | Mon | 10:15 - 11:45 | Practical aspects, Diagnostics | -| Ex 5 | Feb 01, 2023 | Wed | 10:15 - 11:45 | Exercises for lectures 9-10 | -| 11 | Feb 03, 2023 | Fri | 10:15 - 11:45 | TBA | -| 12 | Feb 06, 2023 | Mon | 10:15 - 11:45 | TBA | -| Ex 6 | Feb 08, 2023 | Wed | 10:15 - 11:45 | Exercises for lectures 11-12 | -| 13 | Feb 10, 2023 | Fri | 10:15 - 11:45 | TBA | +| Lecture | Date | Weekday | Time | Topic | +|:---------:|:------------:|:-------:|---------------|:---------------------------------------| +| 1 | Jan 15, 2024 | Mon | 10:15 - 11:45 | Introduction / Direct Sampling Methods | +| Ex 1 | Jan 17, 2024 | Wed | 10:15 - 11:45 | Exercises for lecture 1 | +| 2 | Jan 19, 2024 | Fri | 10:15 - 11:45 | Rejection & Importance Sampling | +| 3 | Jan 22, 2024 | Mon | 10:15 - 11:45 | Markov chains, MCMC | +| Ex 2 | Jan 24, 2024 | Wed | 10:15 - 11:45 | Exercises for lectures 2-3 | +| 4 | Jan 26, 2024 | Fri | 10:15 - 11:45 | The Metropolis-Hastings algorithm | +| 5 | Jan 19, 2024 | Mon | 10:15 - 11:45 | Gibbs sampling | +| Ex 3 | Jan 31, 2024 | Wed | 10:15 - 11:45 | Exercises for lectures 4-5 | +| 6 | Feb 02, 2024 | Fri | 10:15 - 11:45 | Hamiltonian Monte Carlo | +| 7 | Feb 05, 2024 | Mon | 10:15 - 11:45 | Hamiltonian Monte Calro II | +| Ex 4 | Feb 07, 2024 | Wed | 10:15 - 11:45 | Exercises for lectures 6-7 | +| 8 | Feb 09, 2024 | Fri | 10:15 - 11:45 | Practical aspects of HMC | ## Topics -### Lecture 1: Introduction +### Lecture 1: Introduction & Direct Sampling Methods * Motivation * Monte Carlo approximation * An inefficient way of computing $\pi$ - -### Lecture 2: Direct Sampling Methods - * Can we beat the curse of dimensionality? * Random number generation * Direct sampling by variable transformation methods -### Lecture 3: Rejection and Importance Sampling +### Lecture 2: Rejection and Importance Sampling * More direct sampling methods * Rejection sampling * Importance sampling -### Lecture 4: Markov chains +### Lecture 3: Markov chains * Markov chains * Some mathematical facts about Markov chains -### Lecture 5: The Metropolis-Hastings Algorithm +### Lecture 4: The Metropolis-Hastings Algorithm * Fundamental theorem of Markov chains * Metropolis-Hastings algorithm -### Lecture 6: Gibbs sampling +### Lecture 5: Gibbs sampling -* Recap: Metropolis-Hastings algorithm * Combining Markov chains * Gibbs sampling + +### Lecture 6: Hamiltonian Monte Carlo + * Auxiliary variable methods +* Hamiltonian Monte Carlo I ### Lecture 7: Hamiltonian Monte Carlo -* Recap: MCMC + Gibbs Sampling -* More on auxiliary variable methods -* Hamiltonian Monte Carlo +* Hamiltonian Monte Carlo II ### Lecture 8: Hamiltonian Monte Carlo, Practical Issues -* Hamiltonian Monte Carlo continued * Practical Issues (convergence, diagnostic checks) -### Lecture 9: Slice sampling - -* General slice sampling -* Neal's bracketing method - -#### Lecture 10: Practical Aspects of MCMC - -* Convergence, diagnostic checks - -### Lectures 11-13: TBA - -#### Possible topics - -* Annealed Importance Sampling -* Nested Sampling -* Parallel Tempering / Replica-exchange Monte Carlo -* Sequential Monte Carlo (SMC) -* Graphical models -* Ising model -* Simulator models -* Stochastic differential equation & Langevin dynamics -* Bridge sampling, thermodynamic integration -* Partition function estimation -* Intractable models -* Exchange algorithm -* Adaptive Monte Carlo methods -* Wang-Landau -* Exact sampling: coupling from the past # Literature diff --git a/README.md b/README.md index 5e3c5aa..730d040 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ # Probabilistic Inference -This repository contains lecture materials for the Probabilistic Inference lecture (currently WS 22/23) at Uni Jena. +This repository contains lecture materials for the Probabilistic Inference lecture (currently WS 23/24) at Uni Jena. For an overview over the lecture, have a look at [Overview.md](Overview.md) From 3a0f20d4a0b1928eea6eddcdb412f47dc1ac1e1b Mon Sep 17 00:00:00 2001 From: Wolfhart Feldmeier Date: Thu, 11 Jan 2024 12:07:00 +0100 Subject: [PATCH 2/2] update dependencies --- poetry.lock | 1693 +++++++++++++++++++++++------------------------- pyproject.toml | 2 +- 2 files changed, 820 insertions(+), 875 deletions(-) diff --git a/poetry.lock b/poetry.lock index 297d2ab..86705eb 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,25 +1,26 @@ -# This file is automatically @generated by Poetry 1.6.1 and should not be changed by hand. +# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand. 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