Difference between revisions of "MSc: Advanced Statistics"
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# Sub-gaussian distributions |
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== Intended Learning Outcomes (ILOs) == |
== Intended Learning Outcomes (ILOs) == |
Revision as of 17:18, 22 January 2023
Advanced Statistics
- Course name: Advanced Statistics
- Code discipline: DS-03
- Subject area:
Short Description
This course in advanced statistics with a view toward applications in data sciences. It is intended for masters students who are looking to expand their knowledge of theoretical methods used in modern research in data sciences. The course presents some of the key probabilistic methods and results that may form an essential mathematical toolbox for a data scientist. This course places particular emphasis on random vectors, random matrices, and random projections. It teaches basic theoretical skills for the analysis of these objects, which include concentration inequalities, covering and packing arguments, decoupling and symmetrization tricks, chaining and comparison techniques for stochastic processes, combinatorial reasoning based on the VC dimension, and a lot more.
Prerequisites
Prerequisite subjects
- CSE329 - Empirical Methods
Prerequisite topics
Course Topics
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Concentration of sums of independent random variables |
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Concentration of sums of independent random variables |
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} Intended Learning Outcomes (ILOs)What is the main purpose of this course?The main purpose of this course is to present the fundamentals of inferential statistics to the future software engineers and data scientists, on one side providing the scientific fundamentals of the disciplines, and on the other anchoring the theoretical concepts on practices coming from the world of software development and engineering. The course covers the statistical analysis of data with limited assumptions on the distribution, with reference to testing hypotheses, measuring correlations, building samples, and performing regressions. ILOs defined at three levelsLevel 1: What concepts should a student know/remember/explain?By the end of the course, the students should be able to ...
Level 2: What basic practical skills should a student be able to perform?By the end of the course, the students should be able to ...
Level 3: What complex comprehensive skills should a student be able to apply in real-life scenarios?By the end of the course, the students should be able to ...
GradingCourse grading range
Course activities and grading breakdown
Recommendations for students on how to succeed in the course
Resources, literature and reference materialsOpen access resources
Software and tools used within the course
Teaching Methodology: Methods, techniques, & activitiesActivities and Teaching Methods
Formative Assessment and Course ActivitiesOngoing performance assessmentSection 1
Final assessmentThe final assessment is in a written form. You mast have at least 50% on the final exam to pass the course. The retake examThe retake of the exam will be in oral form. |