Бакалавриат
2023/2024
Научно-исследовательский семинар "Анализ данных в естественных науках"
Статус:
Курс по выбору (Прикладной анализ данных)
Направление:
01.03.02. Прикладная математика и информатика
Где читается:
Факультет компьютерных наук
Когда читается:
4-й курс, 1-3 модуль
Формат изучения:
без онлайн-курса
Охват аудитории:
для своего кампуса
Язык:
английский
Кредиты:
4
Контактные часы:
48
Course Syllabus
Abstract
The research seminar offers the opportunity to study methods and methodology of mathematical modelling and machine learning in the context of natural science problems. These tasks include fast simulation of high energy physics events, change point and anomaly detection in complex systems, and optimisation of experimental setup. The purpose of the seminar is to expand the research horizons and skills of students. At the end of the course, the students are expected to be able to present their findings and engage in peer review discussions freely.
Learning Objectives
- Be able to prepare and conduct a presentation with a report on a scientific topic, as well as conduct an academic discussion on the materials of the report.
- To be able to independently choose and study modern scientific articles, find relevant literature.
- Be able to write scientific texts.
Expected Learning Outcomes
- Be able to prepare and conduct a presentation with a report on a scientific topic, as well as conduct an academic discussion on the materials of the report.
- Methods for verifying empirical results: hypothesis testing, bootstrap, randomization, etc.
- Methods of mathematical modeling based on (stochastic) differential equations, probability theory.
- Modern computational methods used in related fields, in particular, when forecasting time series and solving inverse problems (Fourier analysis, wavelets, regression, SSA, dimension reduction, moving averages, neural networks, filters, etc. - understanding the advantages and disadvantages each of the methods.
- To be able to independently choose and study modern scientific articles, find relevant literature. Be able to write scientific texts.
Course Contents
- Scientific modeling and machine learning description.
- Forward problem solution using generative modeling.
- Uncertainty estimation for machine-learning based solution.
- Diploma topic defence
- Scientific papers presentation
- Selected scientific topics context analysis
- Kolloquium
Assessment Elements
- Module 1 assignment 0.3 = Module 1 presentation * 0.2 + Module 1 colloquium * 0.1During module 1 there must be at least one presentation per each group and an obligatory colloquium will be conducted at the end of the module.
- Mod. 2 assignment 0.4 = Mod. 2 presentation*0.2 + Mod. 2 colloquium*0.1+BSc Thesis topic defence*0.1During module 2 there must be at least one presentation per each group, an obligatory colloquium will be conducted at the end of the module, and a defence of the chosen BSc thesis topic.
- Module 3 assignment 0.3 = Module 3 presentation * 0.2 + Module 3 colloquium * 0.1During module 3 there must be at least one presentation per each group and an obligatory colloquium will be conducted at the end of the module.
Interim Assessment
- 2023/2024 3rd moduleModule 1 assignment * 0.3 + Module 2 assignment * 0.4 + Module 3 assignment * 0.3
Bibliography
Recommended Core Bibliography
- Algorithmic trading : winning strategies and their rationale, Chan, E. P., 2013
- Empirical market microstructure : the institutions, economics, and econometrics of securities trading, Hasbrouck, J., 2007
Recommended Additional Bibliography
- Pattern recognition and machine learning, Bishop, C. M., 2006