Plans for the week of March 10-14

Dear all, welcome back to FYS4411/9411. We hope you've had a great weekend.

This week we start with one of the final ingredients for project 1, namely a proper statistical analysis of the errors (including a proper evaluation of the standard deviation of the mean value). This means that we will dive into resampling methods like the bootstrap and jackknife methods and finally the so-called blocking methods. These are all methods which are very popular in the statistical analysis. We will, for our purposes focus on the so-called blocking methods as this is very suitable for the type of Monte Carlo simulations we do in project 1.

The only missing item is then parallelization. With that included we will have a close to professional code for doing Monte Carlo simulations of quantum mechanical systems. Concerning the deadline for project (March 21), in case more time is needed, we can extend it by one week. 

The plan next week is to focus mainly on project work. 

The plan is thus

opics.

1. Reminder on optimization methods and top-down approach to what we need to add

2. Resampling Techniques and statistics: Bootstrap and Blocking

3. Discussion of codes

Teaching Material, videos and written material.

• Overview video on the Bootstrap method, see https://www.youtube.com/watch?v=O_Fj4q8lgmc&ab_channel=MarinStatsLectures-RProgramming%26Statistics

• Marius Johnson's Master thesis on the Blocking Method, see https://www.duo.uio.no/bitstream/handle/10852/68360/PhysRevE.98.043304.pdf?sequence=2&isAllowed=y

The jupyter-notebook for this week is at https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week8/ipynb/week8.ipynb

Best wishes for the week,

Morten