Pattern Analysis and Machine Intelligence
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The following are last minute news you should be aware of ;-)
09/10/2016: Scores from the 28/09/2016 written exam are published here!! 20/09/2016: Scores from the 09/09/2016 written exam are published here!! 31/07/2016: Scores from the 06/07/2016 written exam are published here!! 13/03/2016: Scores from the 19/02/2016 written exam are published here!! 16/02/2016: Scores from the 03/02/2016 written exam are published here!! 18/01/2015: PAMI Homework has been published! 15/12/2015: Schedule revised until January (Note: on Friday 18/12/2015 there will be exercising with Eynard) 09/12/2015: PAMI Exams for the Winter Calls will be on: 03/02/2016 and 19/02/2016 25/10/2015: Updated slides on Statistical Decision Theory and Model Assessment 11/10/2015: Added link to Teaching Assistant website for his material 09/10/2015: New edition of PAMI website is out, stay tuned!
Contents |
Course Aim & Organization
The objective of this course is to give an advanced presentation, i.e., a statistical perspective, of the techniques most used in artificial intelligence and machine learning for pattern recognition, knowledge discovery, and data analysis/modeling.
Teachers
The course is composed by a blending of lectures and exercises by the course teacher and a teaching assistant.
- Matteo Matteucci: the course teacher
- Davide Eynard: the teaching assistant
Course Program
Techniques from machine and statistical learning are presented from a theoretical (i.e., statistics and information theory) and practical perspective through the descriptions of algorithms, the theory behind them, their implementation issues, and few examples from real applications. The course follows, at least partially, the following new book which is available for download in pdf
- An Introduction to Statistical Learning with Applications in R by Gareth James, Daniela Witten, Trevor Hastie and Robert Tibshirani
The course is composed by a set of ex-cattedra lectures on specific techniques (e.g., linear regression, linear discriminant analysis, clustering, etc.). Supervised and unsupervised learning are discussed in the framework of classification and clustering problems. The course outline is:
- Machine Learning and Pattern Classification: the general concepts of Machine Learning and Patter Recognition are introduced with a brief review of statistical decision theory;
- Linear Classification Techniques: linear methods for classification will be presented as the starting point (e.g., Linera Regression on the indicator matrix, Linear and Quadratic Discriminant Analysis, Logistic Regression, Percptron rule and Optimal Separating Hyperplanes, a.k.a., Support Vector Machines)
- Linear Regression Techniques: linear methods for regression will be disccussed and compared (e.g., Linear Regression, Ridge Regression, Lasso, LARS).
- Unsupervised Learning Techniques: the most common approaches to unsupervised learning are described mostly focusing on clustering techniques such as hierarchical clustering, k-means, k-medoids, Mixture of Gaussians, DBSCAN, Jarvis-Patrick, etc.;
- Model Validation and Selection: model validation and selection are orthogonal issues to all previous techniques; during the course their fundamentals are described and discussed (e.g., AIC, BIC, cross-validation, etc. ).
Detailed course schedule
A detailed schedule of the course can be found here; topics are just indicative while days and teachers are correct up to some last minute change (I will notify you by email). Please note that not all days we have lectures!!
Note: Lecture timetable interpretation * On Mondays, in V.08, starts at 13:30 (quarto d'ora accademico), ends at 15:15 * On Fridays, in V.08, starts at 10:30 (quarto d'ora accademico), ends at 12:15 or 13:15 (check!)
Date | Day | Time | Room | Teacher | Topic |
05/10/2015 | Monday | 13:15 - 15:15 | V08 | Matteo Matteucci | Course Introduction (Ch. 1 ISL) |
09/10/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Statistical Decision Theory and Bias-Variance trade off. (Ch. 2 ISL) |
12/10/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Introduction to R (Ch. 2 ISL) |
16/10/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Statistical Decision Theory and Model Assessment. (Ch. 2 ISL) |
19/10/2015 | Monday | - | - | - | No PAMI Classes Today |
23/10/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Statistical Decision Theory and Model Assessment. (Ch. 2 ISL) |
26/10/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Statistical Decision Theory Exercises (Ch. 2 ISL) |
30/11/2015 | Friday | 10:15 - 12:15 | V.S8-B | Matteo Matteucci | Linear Regression (Ch. 2 ISL + Ch. 3 ISL) |
02/11/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Exercises on Simple Linear Regression (Ch. 3 ISL) |
06/11/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Linear Regression (Ch. 2 ISL + Ch. 3 ISL) |
09/11/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Exercises on Linear Regression and Feature Selection |
13/11/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Linear Regression and Feature Selection (Ch. 3 + Ch. 6 ISL) |
16/11/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Intro Clustering |
20/11/2015 | Friday | 10:15 - 12:15 | V.S8-B | Davide Eynard | Clustering with exercises |
23/11/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Clustering Advanced |
27/11/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Feature Selection and Shrinkage in Linear Regression (Ch. 6 ISL) |
30/11/2015 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Exercises on Clustering |
04/12/2015 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Classification by Logistic Regression (Ch. 4 ISL + Ch. 4 ESL) |
07/12/2015 | Monday | - | - | - | No PAMI Classes Today |
11/12/2014 | Friday | 10:15 - 13:15 | V.S8-B | Matteo Matteucci | Classification by Linear Discriminant Analysis (Ch. 4 ISL) |
14/12/2014 | Monday | 13:15 - 15:15 | V.S8-B | Davide Eynard | Exercises on Classification |
18/12/2015 | Friday | 10:15 - 12:15 | V.S8-B | Davide Eynard | Exercises on Classification |
21/12/2015 | Monday | - | - | - | No PAMI Classes Today |
11/01/2014 | Monday | 13:15 - 15:15 | V.S8-B | Matteo Matteucci | Classification: from generative to discriminative approaches (Ch. 4 ISL + Ch. 4 ESL) |
15/12/2015 | Friday | 10:15 - 12:15 | V.S8-B | Matteo Matteucci | Support Vector Machines (Ch. 4 ESL, Ch. 9 ISL, Ch. 12 ESL) |
Chapters are intended as complete except for
- Ch.4 ESL: Section 4.5
- Ch.12 ESL: Sections 12.1, 12.2, 12.3
- Ch.9 ISL: Sections 9.1, 9.2, 9.3
Course Evaluation
The new course evaluation is composed by two parts:
- HW: Homework with exercises covering the whole program
- WE: A written examination covering the whole program
the final score will take the MAXIMUM between WE and the combination 0.7*WE + 0.3*HW. In practice
- the homework can only increase your score
- the homework can only impact for the 30% of the score
- the homework is not mandatory
Homeworks
Homework 2015/2016
We have published the Homework 2015/2016. Please keep in mind:
- the homework is not meant to get more grade, it is intended for you to understand better, i.e., from a practical perspective too, the topics of the course
- the deadline to turn the homework in is the first time you take the PAMI exam, we will grade it when grading your classwork
- you can make the homework in groups up to 2/3 people, the deadline to turn it in is the date the first person in the groups takes the exam (and it will be graded for all members in the group at that call)
- provided you attended the lab lectures, and you have the R environment set up, the homework should require not more than 1 day per part
Homework 2014/2015
We have published the Homework 2014/2015. Please keep in mind:
- the homework is not meant to get more grade, it is intended for you to understand better, i.e., from a practical perspective too, the topics of the course
- the deadline to turn the homework in is the first time you take the PAMI exam, we will grade it when grading your classwork
- you can make the homework in groups up to 2/3 people, the deadline to turn it in is the date the first person in the groups takes the exam (and it will be graded for all members in the group at that call)
- provided you attended the lab lectures, and you have the R environment set up, the homework should require not more than 1 day per part
Teaching Material (the textbook)
Lectures will be based on material taken from the book.
- An Introduction to Statistical Learning with Applications in R by Gareth James, Daniela Witten, Trevor Hastie and Robert Tibshirani
If you are interested in a more deep treatment of the topics you can refer to the following book from the same authors
- The Elements of Statistical Learning: Data Mining, Inference, and Prediction. by Trevor Hastie, Robert Tibshirani, and Jerome Friedman.
Some additional material that could be used to prepare the oral examination will be provided together with the past homeworks.
Teacher Slides
In the following you can find the lecture slides used by the teacher and the teaching assistants during classes.
Lectures:
- [2015] Course introduction: introductory slides of the course with useful information about the grading, and the course logistics. Some examples from supervised and unsupervised learning. Regression, classification, clustering terminology and examples.
- [2015] Statistical Learning Introduction: Statistical Learning definition, rationale, and trade-offs (e.g., prediction vs. inference, parametric vs non parametric models, flexibility vs. interpretability, etc.)
- [2015] Statistical Learning and Model Assessment: Model Assessment for Regression and Classification, Bias-Variance trade-off, Model complexity and overfitting, K-Nearest Neighbors Classifier vs. Bayes Classifier.
- [2014-2015] Linear Regression: Simple Linear Regression and Multiple Linear Regression. Feature selection. Ridge Regression and Lasso.
- [2014-2015] Linear Classification: From Linear Regression to Logistic Regression. Linear Discriminant Analysis and Quadratic Discriminant Analysis. Comparison between linear classification methods.
- [2014-2015] Support Vector Machines: Discriminative vs. generative methids. Hyperplanes learning and Perceptron. Maximum Margin Classifiers. The Kernel trick and Support Vector Machines.
For exercises and lab material please refer to Davide Eynard website.
Additional Resources
Papers and links useful to integrate the textbook
- Bias vs. Variance: "Understanding the Bias-Variance Tradeoff" essay by Scott Fortmann-Roe
- ...
Past Exams and Sample Questions
Since 2014/2015 the course was changed and the exams format as well. For this edition of the course you should expect 2 theoretical questions + 2 practical exercises (on average). Some examples from the past year can be found here:
These are the text of past exams to give and idea on what to expect a theoretical questions:
- 20/09/2013 Exam
- 10/09/2013 Exam
- 26/07/2013 Exam
- 11/07/2013 Exam
- 29/01/2013 Exam
- 19/09/2012 Exam
- 04/09/2012 Exam
- 10/07/2012 Exam
- 26/06/2012 Exam
- 03/02/2012 Exam
- 19/09/2011 Exam
- 08/09/2011 Exam
- 15/07/2011 Exam
- 29/06/2011 Exam
Online Resources
The following are links to online sources which might be useful to complement the material above
- MATH 574M University of Arizona Course on Statistical Machine Learning and Data Mining; here you can find slides covering part of the course topics (the reference book for this course is again The Elements of Statistical Learning)