Statistical Methods for Machine Learning

A.Y. 2021/2022
6
Max ECTS
48
Overall hours
SSD
INF/01
Language
English
Learning objectives
The course describes and analyzes, in a rigorous statistical framework, some of the most important machine learning techniques. This will provide the student with a rich set of conceptual and methodological tools for understanding the general phenomenon of learning in machines.
Expected learning outcomes
Upon completion of the course students will be able to:
1. understand the notion of overfitting and its role in controlling the statistical risk
2. describe some of the most important machine learning algorithms and explain how they avoid overfitting
3. run machine learning experiments using the correct statistical methodology
These objectives are measured via a combination of two components: the project report and the oral discussion. The final grade is formed by assessing the project report, and then using the oral discussion for fine tuning.
Course syllabus and organization

Single session

Lesson period
Second semester
More specific information on the delivery modes of the training activities for the academic year 2021-22 will be provided over the coming months, based on the evolution of the public health situation.
Course syllabus
The goal of this course is to provide the methodological foundations of machine learning. The emphasis is on the design and analysis of learning algorithms with theoretical performance guarantees.

Introduction
The Nearest Neighbour algorithm
Tree predictors
Statistical learning
Hyperparameter tuning and risk estimates
Risk analysis of Nearest Neighbour
Risk analysis of tree predictors
Consistency, surrogate functions, and nonparametric algorithms
Linear predictors
Online gradient descent
From sequential risk to statistical risk
Kernel functions
Support Vector Machines
Stability bounds and risk control for SVM
Boosting and ensemble methods
Neural networks and deep learning
Prerequisites for admission
The course requires basic knowledge in calculus, linear algebra, and statistics.

Before attending this course, students are strongly advised to pass the following exams: Calculus, Discrete mathematics, Statistics and data analysis.
Teaching methods
Lecture-style instruction.
Teaching Resources
The main reference material are the lecture notes available through the link ncesa-bianchismml.ariel.ctu.unimi.it/

Reference textbook: Shai Shalev-Shwartz e Shai Ben-David, Understanding Machine Learning: From Theory to Algorithms, Cambridge University Press, 2014.
Assessment methods and Criteria
The exam consists in writing a paper of about 10-15 pages containing either a report describing experimental results (experimental project) or a in-depth analysis of a theoretical topic (theory project). The paper will be discussed in an oral examination, in which students will be also asked questions on the rest of the syllabus. The final grade is computed by combining the project evaluation and the oral discussion. As a function of the number of students attending the course, the oral discussion may be replaced by a written test.
INF/01 - INFORMATICS - University credits: 6
Lessons: 48 hours
Professor(s)
Reception:
Wednesday 9:30AM-12:30PM
39, via Comelico. Room P101