Stochastic analysis 2020 2021
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Версия от 11:10, 6 сентября 2020; Svsamsonov (обсуждение | вклад)
Содержание
Lecturers and Seminarists
Lecturer | Naumov Alexey | [anaumov@hse.ru] | T924 |
Seminarist | Samsonov Sergey | [svsamsonov@hse.ru] | T926 |
About the course
This page contains materials for Stochastic Analysis course in 2020/2021 year, mandatory one for 1st year master students of Statistical Learning Theory program (HSE and Skoltech).
Grading formula
The final grade consists of 4 components (each is non-negative real number from 0 to 10, without any intermediate rounding) :
- OHW for the hometasks
- OMid-term for the midterm exam
- OExam for the final exam
The formula for the final grade is
- OFinal = 0.3*OHW + 0.3*OMid-term + 0.4*OExam
with the usual (arithmetical) rounding rule.
Lectures
Seminars
- To be filled
Midterm
Grades and results
Recommended literature (1st term)
- http://www.statslab.cam.ac.uk/~james/Markov/ - Cambridge lecture notes on discrete-time Markov Chains
- https://link.springer.com/book/10.1007%2F978-3-319-97704-1 - book by E. Moulines et al, you are mostly interested in chapters 1,2,7 and 9 (book is accessible for download through HSE network)
- https://link.springer.com/book/10.1007%2F978-3-319-62226-2 - Stochastic Calculus by P. Baldi, good overview of conditional probabilities and expectations (part 4, also accessible through HSE network)
- https://link.springer.com/book/10.1007%2F978-1-4419-9634-3 - Probability for Statistics and Machine Learning by A. Dasgupta, chapter 19 (MCMC), also accessible through HSE network
- https://web.math.princeton.edu/~rvan/APC550.pdf- Ramon van Handel, Probability in High Dimension, chapter 2 (but I strongly recommend this book for your future course with Q. Paris, it is amazing);
- https://www.springer.com/gp/book/9783319002262 - Gentil, Barky, Ledoux. Classical book on Markovian semigroups, not very easy to read;