Foundations of Machine Learning -- CSCI-GA.2566-001

Fall 2024
Foundations of Machine Learning
Course#: CSCI-GA.2566-001
Instructor: Mehryar Mohri
Grader/TA: Anqi Mao & Yutao Zhong

Course Description

This course introduces the fundamental concepts and methods of machine learning, including the description and analysis of several modern algorithms, their theoretical basis, and the illustration of their applications. Many of the algorithms described have been successfully used in text and speech processing, bioinformatics, and other areas in real-world products and services. The main topics covered are:

Probability tools, concentration inequalities
PAC model
Rademacher complexity, growth function, VC-dimension
Perceptron, Winnow
Support vector machines (SVMs)
Kernel methods
Boosting
On-line learning
Decision trees
Density estimation, maximum entropy models
Logistic regression, conditional maximum entropy models
Regression problems and algorithms
Ranking problems and algorithms
Learning languages and automata
Reinforcement learning, Markov decision processes (MDPs)

It is strongly recommended to those who can to also attend the Machine Learning Seminar. Those interested in further pursuing the study of machine learning could also attend the Advanced Machine Learning class.

Location and Time

Tuesdays, 4:55PM-6:55PM.
Zoom link available through Brightspace.

Prerequisite

Familiarity with basics in linear algebra, probability, and analysis of algorithms.

Projects and Assignments

There will be 3 to 4 assignments and a project. The final grade is essentially the average of the assignment and project grades. The standard high level of integrity is expected from all students, as with all math and computer science courses.

Lectures

Lecture 00: Introduction to convex optimization.
Lecture 01: Introduction to machine learning.
Lecture 02: Learning guarantees for finite hypothesis sets.
Lecture 03: Learning guarantees for infinite hypothesis sets.
Lecture 04: Support vector machines (SVMs).
Lecture 05: Kernel methods.
Lecture 06: Boosting.
Lecture 07: Maxent models.
Lecture 08: On-line learning.
Lecture 09: Ranking.
Lecture 10: Multi-class classification.
Lecture 11: Regression.
Lecture 12: Reinforcement learning.

Textbook

The following is the required textbook for the class. It covers all the material presented (and a lot more):

Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar. Foundations of Machine Learning. MIT Press, second edition, 2018.

Technical Papers

An extensive list of recommended papers for further reading is provided in the lecture slides.

Homework

Homework 1 [solution].
Homework 2 [solution].
Homework 3 [solution].
Projects.

Previous years