CS-E5795 - Computational Methods in Stochastics D, Lecture, 14.9.2021-9.11.2021
This course space end date is set to 09.11.2021 Search Courses: CS-E5795
Topic outline
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Lecturer: Riku Linna (riku.linna@aalto.fi)
Teaching Assistants: Danh Phan (danh.phan@aalto.fi) and Thao Phung Duc (thao.phungduc@aalto.fi)
Lectures, Tuesdays 12:15
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https://aalto.zoom.us/j/66916419878
Meeting ID: 669 1641 9878
Exercise sessions, Thursdays 10:15
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https://aalto.zoom.us/j/62533774506
Meeting ID: 625 3377 4506
While you are welcome to join, attendance is not required. The course is taken by returning weekly assignments and grading two or three assignment submissions weekly, using Peergrade. Instructions for joining the course Peergrade can be found under Materials. Deadlines for submission of solutions, peer grading and feedback can be found under Assignments. 20 % of the points come from peer grading, that is, how our grading is evaluated, and the rest from the graded solutions.
Please note that since the assignments are peer-graded, unfortunately, you cannot come back next year and return possibly similar/same problems for grading.
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The purpose of this course is to provide an understanding of fundamental concepts and computational methods of stochastic simulations and models. After completing the assignments the student will have a library of (skeleton) algorithms used in stochastic simulation and an understanding of how they work.
Topics include:
1. Simulating standard probability distributions.
2. Methods of simulating 'non-standard' distributions. Logarithmic binning.
3. Markov processes and stochastic models.
4. Monte Carlo (MC) method and Metropolis sampling.
5. Markov Chain Monte Carlo (MCMC) method; Gibbs and Metropolis-Hastings sampling.
6. Hamiltonian/Hybrid Monte Carlo (HMC) method.
Literature: Parts of the books Taylor, Karlin (newer edition Pinsky, Karlin): An Introduction to Stochastic Modeling (Academic Press), and Wilkinson: Stochastic Modelling for Systems Biology (CRC Press). Lecture notes and other distributed material.
The book Hossein Pishro-Nik, Introduction to Probability and Random Processes, freely available online will be used in parts of the course: https://www.probabilitycourse.com
Prerequisites:
Basic programming skills. The programming language is Python. Jupyter notebook will be used.
For some practicalities etc., see Preliminaries in Materials.