B6456 - STATISTICAL LEARNING

Learning outcomes

By the end of the course, students will have acquired a basic knowledge of univariate probability, descriptive statistics for data analysis, and numerical methods for estimating the parameters of simple predictive models using maximum likelihood estimation.

Course contents

• Fundamentals of probability: conditional probability

• Random variables and univariate discrete and continuous probability distributions

• Multivariate probability distributions

• Bayes' theorem

• Descriptive statistics

• Inferential statistics: the Central Limit Theorem, parameter estimation by maximum likelihood, and confidence intervals

• Linear and polynomial regression

• The least-squares problem: mathematical and computational methods for optimization in (\mathbb{R}^n)

• Introduction to Python

Readings/Bibliography

notes of the teacher

Teaching methods

lectures with examples of Python implementations.

Assessment methods

Here is a natural and formal English translation suitable for a course syllabus:

This course is part of the integrated course Data Analytics and Statistical Learning. A single final grade will be awarded, calculated as a weighted average of the grades obtained in the two courses. Specifically, the grade for Statistical Learning accounts for 40% of the final grade, while the grade for Data Analytics accounts for 60%. The final grade will be recorded only after the student has successfully completed the examinations for both courses.

The following information refers only to the examination for the Statistical Learning course. For the examination procedures of Data Analytics, please refer to the corresponding course page.

The Statistical Learning examination consists of a multiple-choice quiz with 20 questions, each having three possible answers. Each correct answer is worth 1.5 points, while incorrect or unanswered questions receive 0 points.

The examination will be taken on the student's own laptop by accessing the Virtuale platform of the University of Bologna. During the examination, only a calculator is permitted.

The examination lasts approximately 45 minutes.

Office hours

See the website of Elena Loli Piccolomini