Course material, 2nd semester a.y. 2023/2024, Mathematical Sciences for AI
Lecturer: Prof. Emanuele Rodolร
Assistants: Dr. Adrian Minut and Dr. Daniele Solombrino
When: Mondays 10:00โ13:00 and Tuesdays 8:00โ11:00
Where:
Until May 6th: Aula Picone - Piano Terra, Dip. di Matematica Castelnuovo (CU006-E01PTEL008)
From May 13th: Aula C - Piano Terra, Dip. di Matematica Castelnuovo (CU006-E01PTEL008)
There is no virtual classroom, and the lectures will not be recorded.
Python fundamentals; calculus; linear algebra.
Due to the continuously evolving nature of the topic, there is no fixed textbook as a reference. Specific material in the form of scientific articles and book chapters will be given throughout the lectures.
Exam dates
Evaluation proceeds according to the following steps:
Example 1: Project: 30; Written exam: 20; Final grade: 27. Example 2: Project: 26; Written exam: 30; Final grade: 27.
There will also be a midterm self-evaluation test; it is optional, and does not concur to the final grade.
We may require an oral exam in doubtful cases or whenever necessary.
Date | Topic | Reading | Code & Data |
---|---|---|---|
Mon 4 Mar | ๐ Introduction; Talking sense about data I | slides | ย |
Tue 5 Mar | ๐ข Talking sense about data II; Linear algebra revisited; Introduction to Python notebooks and NumPy | slides ; linear algebra recap ; matrix notes | ย |
Mon 11 Mar | ๐ Array manipulation | ย | |
Tue 12 Mar | ๐ Regression problems | slides ; matrix gradient notes | ย |
Mon 18 Mar | ๐ Linear regression and scikit-learn | ย | ๐ฑ |
Tue 19 Mar | ๐ Regularization; Stochastic gradient descent | slides 1 ; slides 2 | ย |
Mon 25 Mar | ๐ Stochastic gradient descent | ย | |
Tue 26 Mar | ๐ Multi-layer perceptron and back-propagation | slides | ย |
Mon 01 Apr | ๐ Easter holidays | ย | ย |
Tue 02 Apr | ๐ Easter holidays | ย | ย |
Mon 08 Apr | ๐ฅ PyTorch and Deep Learning I | ย | |
Tue 09 Apr | ๐ฅ PyTorch and Deep Learning II | ย | use yesterdayโs notebook |
Mon 15 Apr | ๐ป PCA, spectra, and low-rank approximations | slides | ย |
Tue 16 Apr | ๐ป Principal Component Analysis | ย | ๐ฆ ๐ |
Mon 22 Apr | ๐บ๏ธ Manifold learning and dimensionality reduction | slides | ย |
Tue 23 Apr | ๐บ๏ธ MDS and t-SNE | ย | |
Mon 29 Apr | ๐ Midterm | sheet | ย |
Tue 30 Apr | Reinforcement Learning tutorial | slides | |
Mon 06 May | ๐ Midterm answers and Theory recap | ย | ย |
Mon 13 May | ๐ Notebook recap | ย | ย |
Tue 14 May | ๐ฃ๏ธ Seminars | A bitter lesson ; Relative representations | ย |
Mon 20 May | ๐ณ Ensemble methods | upcoming | upcoming |
Tue 21 May | TBD | ย | ย |
Mon 27 May | TBD | ย | ย |
Tue 28 May | TBD | ย | ย |
End