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Dear all, since we have more or less done with the lecture topics relevant for the projects (and I have not received specific wishes about additional topics), we will from Friday April 26 to Friday May 10, use the time for the lectures to discuss and work on the finalization of project 2. The schedule is thus
April 26: 10.15am-3pm, work (and discussions) on project 2
May 3: 10.15am-3pm, work on and discussions of project 2
May 10: 10.15am-3pm, work on and discussions of project 2 and summary of course
May 17 is a public holiday but we may (if needed) have a lab session on May 24.
Best wishes to you all,
Daniel, H?kon and Morten
p.s. Morten will be there from 10-12pm, while Daniel and H?kon will alternate in covering the time 12pm-3pm
Dear all, this week's lecture is a technical one. We will discuss how we can move from systems of bosons to a system of fermions.
This means that we will discuss our wave function ansatz again, and now how to include the anti-symmetry of the total fermion wave function.
This will be done via the introduction of a so-called Slater determinant.
Our last two lectures, that is April 26 and May 3, will be devoted to alternative topics plus discussions of the project. One alternative project is the discussion of diffusion Monte Carlo methods. Feel free to suggest other topics for the last two lectures.
The material for this week is at for example https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week13/ipynb/week13.ipynbLinks to an external site...
Hi all, here are the plans for this week
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We continue our discussion of Neural Networks and Boltzmann Machines linked with project 2. We will repeat some of the equations from last week and discuss possible implementations.
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If time, start discussion on how to implement Slater determinants, see last part of slides. This topic will be continued next week.
The slides are at (jupyter-notebook) at https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week12/ipynb/week12.ipynb
Best wishes to you all,
Daniel, H?kon and Morten
Dear all, welcome back after hopefully a nice break.
Here are our plans for this week:
Discussions of various variants of project 2
Neural Networks and Boltzmann Machines, introduction to Boltzmann machines
You find the lecture notes at https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week12/ipynb/week12.ipynb
Similarly, all four variants of project 2 are listed at https://github.com/CompPhysics/ComputationalPhysics2/tree/gh-pages/doc/Projects/2024/Project2
During our lectures we will mainly discuss the variants with Boltzmann machines and how ...
Dear all, this week the plans are
- Discussion of project 1 and possible alternatives for project 2
- Wrap up of parallelization discussions, see also slides from last week. We will go through both MPI and OpenMP for project 1 for those of you who program in C++.
- Note change of deadline for project 1 to April 1.
The lecture material for this week is at https://github.com/CompPhysics/ComputationalPhysics2/tree/gh-pages/doc/pub/week11 in various formats.
See also the slides from last week at https://github.com/CompPhysics/ComputationalPhysics2/tree/gh-pages/doc/pub/week10.
The following books can also be useful, see Using OpenMP by Chapman et al at https://mitpress.mit.edu/books/using-openmp and Using MPI by Gropp et al. at https://mitpress.mit.edu/book...
Dear all and welcome back to FYS4411/9411.
The plans this week aim at
Reminder from last week about statistical observables, the central limit theorem and bootstrapping, see notes from last week
Resampling Techniques, emphasis on Blocking and discussion of the blocking method
Discussion of one-body densities (whiteboard notes)
Start discussion on optimization and parallelization for Python and C++
Note, these notes contain additional material om optimization and parallelization. Parts of this material will be discussed this week.
We will try to wrap up the discussion of resampling methods during the first hour. Daniel will give a short presentation on how to optimize and parallelize code with python. We will use the rest of the lecture to discuss how to implement OpenMP with C++.
Else, the jupyte...
Dear all, welcome back! The plan this week is to introduce another important element to our Monte Carlo machinery, namely the inclusion of resampling techniques. These are statistical analysis tools which aim at getting better estimates of various expectation values and their corresponding errors (read standard deviations). We will focus on the Blocking method and the bootstrap method, two popular methods used in the post-analysis of our data. The plan is as follows
Topics.
Reminder from last week on optimization methods
Resampling Techniques and statistics: Bootstrap and Blocking
Teaching Material, videos and written material.
Overview video on the ...
Dear all, this week we will focus only on project work before we introduce new theoretical elements.
This means that there is no regular lecture on March 1, we start at 10.15am with lab and project work only and end at 3pm as usual.
The hope is that we are all able to have importance sampling implemented and hopefully to start with the implementation of the optimization part discussed last Friday (February 23).
Next week we will introduce our second-last theoretical element that we will need to implement. This elements deals with a proper statistical evaluation of the errors in the Monte Carlo sampling and leads to so-called resampling methods like Bootstrap, Jackknife and Blocking.
Since we will produce millions of Monte Carlo samples, the preferred method for a reliable statistical evaluation of the standard error is the so-called Blocking method. The slides for next week's lecture can be found ...
Dear all, the topic this week is a discussion of various gradient methods in order to find the optimal parameters for the large VMC runs.
We will discuss various methods and discuss the pros and cons and outline computational strategies. The topics this week deal thus with various gradient optimization methods and we will cover
a. Semi-Newton methods (Broyden's algorithm, most used for our type of problems) and plain gradient descent
b. Steepest descent and conjugate gradient descent
c. Stochastic gradient descent
d. We will wrap up (see end of the slides for this week and link below) with how we can implement the plain gradient descent approach and quasi-newton methods.
Recommended background literature if you wish to dig deeper, Convex Optimization by Boyd and Vandenberghe. Their lecture slides at https://web.stanford.edu/~boyd/cvxbook/bv_cvxslides.pdf are very...
Dear all, welcome back to FYS4411/9411.
This week we aim at, after a review of what we did last week, to start with the optimization part. That is how to find the optimal variational parameters without having to run a full scale calculation for all selected parameters.
Before we start with the optimization part, please do take a look at the slides from last week concerning the expressions for the kinetic energy and the quantum force with a given trial wave function. You find those notes at the end of the notes from last week (week 4), see for example https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week4/ipynb/week4.ipynb
The plan for the lecture this Friday is thus to
Review from last week with an emphasis on computational aspects in calculating gradients and kinetic energies for various wave functions
Reminder on Fokker-Planck equation and Langevin equations
Start optimization:...
Dear all, welcome back to FYS4411/9411.
This week we aim at, after a review of what we did last week, to start with the optimization part. That is how to find the optimal variational parameters without having to run a full scale calculation for all selected parameters.
Before we start with the optimization part, please do take a look at the slides from last week concerning the expressions for the kinetic energy and the quantum force with a given trial wave function. You find those notes at the end of the notes from last week (week 4), see for example https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week4/ipynb/week4.ipynb
The plan for the lecture this Friday is thus to
Review from last week with an emphasis on computational aspects in calculating gradients and kinetic energies for various wave functions
Reminder on Fokker-Planck equation and Langevin equations
Start optimization:...
Dear all, welcome back to FYS4411/9411.
This week we aim at, after a review of what we did last week, to start with the optimization part. That is how to find the optimal variational parameters without having to run a full scale calculation for all selected parameters.
Before we start with the optimization part, please do take a look at the slides from last week concerning the expressions for the kinetic energy and the quantum force with a given trial wave function. You find those notes at the end of the notes from last week (week 4), see for example https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week4/ipynb/week4.ipynb
The plan for the lecture this Friday is thus to
Review from last week with an emphasis on computational aspects in calculating gradients and kinetic energies for various wave functions
Reminder on Fokker-Planck equation and Langevin equations
Start optimization:...
Dear all, welcome back to FYS4411. An important note first, our lecture 1015am-12pm on Friday the 9th is via zoom only since Morten is away in the US till February 14. Friday the 16th we have a regular in-person lecture. The lab on February 9 (tomorrow) is in person as usual.
The zoom link is
https://msu.zoom.us/j/6424997467?pwd=d0xQUDZmaU00T1Job1J3RnVuL3l6UT09
Meeting ID: 642 499 7467
Passcode: FYS4411
The plans for this week are
Topics.
Short repetition from last week
Mathematical and computational details of importance sampling and Fokker-Planck and Langevin equations
- For the lab session we will continue our discussions on how to build a VMC code for project 1
The jupyter-notebook is attached and we will cove...
Dear all and welcome back to Comp Phys 2.
Our plans this week are
- Markov Chain Monte Carlo and repetition from last week
- Metropolis-Hastings sampling and introducing importance sampling
Importance sampling will allow us to sample more reliably from a transition probability that mimics the physics at play. This will lead us to a discussion of what is called the Fokker-Plank equation and the Langevin equation in actual implementations of importance sampling.
We start with a top-down approach first where we present the equations we have to implement and show how to program this. Thereafter we will discuss the mathematical foundation. In the lab session we continue on implementing the variational Monte Carlo algorithm for a system of non-interacting bosons first.
The jupyter-notebook for this week can be retrieved from ...
Dear all, welcome back to FYS4411.
The plans this week are (lecture and lab Friday Jan 26):
Topics for lecture and lab
Repetition from last week and links to code templates in python and C++
Essential ingredients: Variational Monte Carlo methods, Metropolis Algorithm, statistics and Markov Chain theory
How to structure the VMC code
Teaching Material, videos and written material.
- See the jupyter-notebook at https://github.com/CompPhysics/ComputationalPhysics2/blob/gh-pages/doc/pub/week2/ipynb/week2.ipynb
Code templates for first project (these will be discussed during the lab sessions)
The C++ template at https://github.com/mortele/variational-monte-carlo-fys4411
The python template, using JAX at https://github.com/Daniel-Haas-B/FYS4411-Template
The notes for this week are best viewed via the jupyter-notebook since there are code exam...
Hi all, here are various links of interest.
Video of lecture with subtitles at https://youtu.be/2N0KS7uJJvo
Slides for first week at http://compphysics.github.io/ComputationalPhysics2/doc/pub/week1/html/week1-reveal.html
Discord channel at https://discord.gg/pnGmStt4A2
Link to c++ template for project 1 at github.com/mortele/variational-monte-carlo-fys4411
The link to the python framework will be made accessible later.
Dear all, welcome to a new semester and FYS4411/9411.
Our first session is January 19 at 10am, room F?434 at the Department of Physics, UiO.
All lectures will be recorded and the videos will be posted asap online here. Our first lab session follows right after the first lecture.
More information will be sent to all of you during the week of January 8-12.
Best wishes to you all and welcome.
Daniel, H?kon, Morten and Ruben