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	<title>Markov Chains - История изменений</title>
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&lt;p&gt;&lt;b&gt;Новая страница&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Lecturers and Seminarists ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|| Lecturer || [https://www.hse.ru/staff/anaumov Naumov Alexey ] || [anaumov@hse.ru] || T924&lt;br /&gt;
|- &lt;br /&gt;
|| Seminarist || [https://www.hse.ru/org/persons/219484540 Samsonov Sergey] || [svsamsonov@hse.ru] || T926&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== About the course ==&lt;br /&gt;
This page contains materials for Markov Chains course in 2022/2023 year, mandatory one for 1st year Master students of the MML program (HSE and Skoltech).&lt;br /&gt;
&lt;br /&gt;
== Grading == &lt;br /&gt;
The final grade consists of 3 components (each is non-negative real number from 0 to 10, without any intermediate rounding) :&lt;br /&gt;
* O&amp;lt;sub&amp;gt;HW&amp;lt;/sub&amp;gt; for the hometasks&lt;br /&gt;
* O&amp;lt;sub&amp;gt;Mid-term&amp;lt;/sub&amp;gt; for the midterm exam&lt;br /&gt;
* O&amp;lt;sub&amp;gt;Exam&amp;lt;/sub&amp;gt; for the final exam  &lt;br /&gt;
The formula for the final grade is &lt;br /&gt;
* O&amp;lt;sub&amp;gt;Final&amp;lt;/sub&amp;gt; = 0.3*O&amp;lt;sub&amp;gt;HW&amp;lt;/sub&amp;gt; + 0.3*O&amp;lt;sub&amp;gt;Mid-term&amp;lt;/sub&amp;gt; + 0.4*O&amp;lt;sub&amp;gt;Exam&amp;lt;/sub&amp;gt; + 0.1*O&amp;lt;sub&amp;gt;Bonus&lt;br /&gt;
with the usual (arithmetical) rounding rule.&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1MPWVIkgxyotHU-P5cE7Gik4C6RTWxTnAVK8Btl7Fw3Y/edit?usp=sharing &amp;#039;&amp;#039;&amp;#039;Table with grades&amp;#039;&amp;#039;&amp;#039;]&lt;br /&gt;
&lt;br /&gt;
== Lectures and Seminars ==&lt;br /&gt;
*[https://www.overleaf.com/9489127129cmhvpvfjnkdd &amp;#039;&amp;#039;&amp;#039;Link to course materials in overleaf&amp;#039;&amp;#039;&amp;#039;]&lt;br /&gt;
&lt;br /&gt;
==Homeworks ==&lt;br /&gt;
*[https://disk.yandex.ru/i/qD_CQiDVxIqo2A Homework #1, deadline: 29.01.23, 23:59]&lt;br /&gt;
*[https://disk.yandex.ru/i/-TY-cqmLBBkkWw Homework #2, deadline: 12.03.23, 23:59]&lt;br /&gt;
*[https://disk.yandex.ru/i/2prtmHdr-KDXsA Homework #3, deadline: 30.03.23, 23:59], [https://colab.research.google.com/drive/1lB3b4Mid6rrTwjBl1BR5d4Cp6xq13ck6?usp=sharing Collab notebook]&lt;br /&gt;
&lt;br /&gt;
== Exam ==&lt;br /&gt;
Exam will take place on Saturday, 01.04.2023. Exam is organised at room TBD. Exam question will contain 1 theoretical question and 1 problem. Using any materials, electronic devices is allowed during preparation, but not during the answer. The proofs that were not given in the lectures/seminars can be omitted.&lt;br /&gt;
&lt;br /&gt;
*[https://disk.yandex.ru/i/YWdcDMA1DNm_TA List of exam questions]&lt;br /&gt;
&lt;br /&gt;
==Midterm ==&lt;br /&gt;
Midterm will take place on Saturday, 21.01.2023. Midterm is organised at T926. Please split into 2 groups: first group starts exam at 09:00, second group starts at 11:00. You can book an exam slot below. Exam question will contain 1 theoretical question and 1 problem. Using any materials, electronic devices is allowed during preparation, but not during the answer. The proofs that were not given in the lectures/seminars can be omitted.&lt;br /&gt;
&lt;br /&gt;
*[https://disk.yandex.ru/i/5Bb0GVXctY-gAw List of midterm qustions]&lt;br /&gt;
*[https://docs.google.com/spreadsheets/d/1TddbWGqyxmFc-tT8b2JVSu_JwqZsGdPAmOI0WzIhJ6I/edit?usp=sharing Link to exam slots]&lt;br /&gt;
&lt;br /&gt;
== Recommended literature (1st term) ==&lt;br /&gt;
*http://www.statslab.cam.ac.uk/~james/Markov/ - Cambridge lecture notes on discrete-time Markov Chains&lt;br /&gt;
*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)&lt;br /&gt;
*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)&lt;br /&gt;
*https://elearning.unimib.it/pluginfile.php/583708/mod_resource/content/1/1-conditional-law.pdf - Probability kernels and (regular) conditional probabilities, to the first lecture.&lt;/div&gt;</summary>
		<author><name>imported&gt;Svsamsonov</name></author>
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