2020/2021

2020/2021

DM270

ING-INF/05 (SISTEMI DI ELABORAZIONE DELLE INFORMAZIONI)

DIPARTIMENTO DI MATEMATICA 'FELICE CASORATI'

MATEMATICA

PERCORSO COMUNE

1°

Primo Semestre (01/10/2020 - 20/01/2021)

6

45 ore di attività frontale

English

ORALE

PIASTRA MARCO (titolare) - 6 CFU

Basic mathematical skills, practical knowledge of at least one programming language.

The course follows a conceptual pathway along the fundamental principles of the discipline. It is divided into two parts: the first part is an introduction to classical formal logic, both propositional and first order, with a special focus to the aspects of automatic calculus, while the second part is an introduction to the basic principles of machine learning and self-organizing systems.

1) Classical logic and automated symbolic reasoning

Boolean algebras
Logical language and semantical structures: logical consequence
Deductive systems for propositional logic
Decision problems and decidability
Predicates and relations: first order logic
Semi-decidability of first order logic
First-order resolution with unification

2) Machine Learning

Logic and probability: representation or statistics?
The language of probability: representation
Bayesian inference
Graphical models and automation
Probabilistic learning
Clustering: K-means and related methods
Self-organizing systems and applications

Lectures (hours/year in lecture theatre): 45
Practical class (hours/year in lecture theatre): 0
Practicals / Workshops (hours/year in lecture theatre): 0

See the home page of the course (http://vision.unipv.it/AI) for lecture slides, suggested readings and software for the exercises

The final exam is an interview about the theory, together with the discussion of practical activities in the lab.

The final exam is an interview about the theory, together with the discussion of practical activities in the lab.