CS6780 Advanced Machine Learning Course, T. Joachims, Cornell University

CS6780 - Advanced Machine Learning

Spring 2019
Prof. Thorsten Joachims
Cornell University, Department of Computer Science & Department of Information Science


Time and Place

First lecture: January 29, 2019
Last meeting: May 7, 2019
Time: Tuesday/Thursday, 2:55pm - 4:10pm
Room: Gates G01 / Bloomberg 91

Exam: April 25
Project Report: May 13

Course Description

This course gives a graduate-level introduction to machine learning and in-depth coverage of new and advanced methods in machine learning, as well as their underlying theory. It emphasizes approaches with practical relevance and discusses a number of recent applications of machine learning in areas like information retrieval, recommender systems, data mining, computer vision, natural language processing and robotics. An open research project is a major part of the course.

In particular, the course will cover the following topics:

  • Supervised Batch Learning: model, decision theoretic foundation, model selection, model assessment, empirical risk minimization
  • Decision Trees : TDIDT, attribute selection, pruning and overfitting
  • Statistical Learning Theory : generalization error bounds, VC dimension
  • Large-Margin Methods and Kernels: linear Rules, margin, Perceptron, SVMs, duality, non-linear rules through kernels
  • Deep Learning : multi-layer perceptrons, deep networks, stochastic gradient
  • Probabilistic Models: generative vs. discriminative, maximum likelihood, Bayesian inference
  • Structured Output Prediction : undirected graphical models, structural SVMs, conditional random fields
  • Latent Variable Models: k-means clustering, mixture of Gaussians, expectation-maximization algorithm, matrix factorization, embeddings
  • Online Learning : experts, bandits, online convex optimization
  • Causal Inference : interventional vs. observational data, treatment effect estimation

The prerequisites for the class are: programming skills (at the level of CS 2110) and basic knowledge of linear algebra (at the level of MATH 2940) and probability theory (at the level of MATH 4710) and multivariable calculus (at the level of MATH 1920).

Enrollment is limited to PhD students.



  • 01/29: Introduction [slides] [slides 6-up] [video]
    • What is learning?
    • What is machine learning used for?
    • Overview of course, course policies, and contact info.
  • 01/31: Supervised Batch Learning [slides] [slides 6-up] [video]
    • Supervised learning for binary classification, multi-class classification, regression, and stuctured output prediction
    • Instance space, target function, training examples
    • Hypothesis space, consistency, and version space
    • Classifying with a decision tree
    • Representational power of decision trees
    • TDIDT decision tree learning algorithm
  • 02/05: Empirical Risk Minimization [slides] [slides 6-up] [video]
    • Independently identically distributed (iid) data
    • Risk, empirical risk, and Empirical Risk Minimization (ERM)
    • Bayes decision rule and Bayes risk
    • Model selection and overfitting
  • 02/07: Statistical Learning Theory 1: Generalization Error Bounds [slides] [slides 6-up] [video]
    • Model assessment (see slides from last lecture)
    • Generalization error bound for finite H and zero error
  • 02/12: Statistical Learning Theory 2: Generalization Error Bounds [slides from last lecture] [video]
    • Generalization error bound for finite H and non-zero error
    • Probably Approximately Correct (PAC) learning
    • Theoretical characterization of overfitting
  • 02/14: Linear Rules and Perceptron [slides] [slides 6-up] [video]
    • Linear classification rules
    • Batch Perceptron learning algorithm
    • Online Perceptron learning algorithm
    • Margin of linear classifier
    • Perceptron mistake bound
  • 02/19: Optimal Hyperplanes and SVMs [slides] [slides 6-up] [video]
    • Optimal hyperplanes and margins
    • Hard-margin Support Vector Machine
    • Vapnik-Chervonenkis Dimension
    • VC dimension of hyperplanes
    • Symmetrization and error bound
  • 02/21: Soft-Margin and Duality [slides] [slides 6-up] [video]
    • Soft-margin Support Vector Machine
    • Dual Perceptron
    • Primal and dual SVM optimization problem
    • Connection between primal and dual
  • 02/28: Kernels [slides] [slides 6-up] [video]
    • Bounds on the leave-one-out error of an SVM (see slides from last lecture)
    • Input space and feature space
    • Kernels as a method for non-linear learning
    • Kernels for learning with non-vectorial data
  • 03/05: Regularized Linear Models [slides] [slides 6-up] [video]
    • Conditional maximum likelihood
    • Maximum a posteriori estimates
    • Logistic regression
    • Ridge regression
  • 03/07: Deep Network Models [slides] [slides 6-up] [video]
    • Multi-layer perceptrons
    • Relationship to kernels
    • Stochastic gradient descent
    • Convolution and pooling
  • 03/12: Generative Models for Classification [slides] [slides 6-up] [video]
    • Modeling the data generating process
    • Multivariate naive Bayes classifier
    • Linear discriminant analysis
    • Multinomial naive Bayes classifier
  • 03/14: Generative Models for Sequence Prediction [slides] [slides 6-up] [video]
    • Hidden Markov Model (HMM)
    • Estimation of HMM parameters
    • Viterbi algorithm
  • 03/19: Discriminative Training for Structured Output Prediction [slides] [slides 6-up] [video]
    • Structural SVMs
    • Conditional Random Fields
    • Encoder/Decoder Networks
  • 03/21: Online Learning: Expert Setting [slides] [slides 6-up] [video]
      Expert Online Learning Model
    • Halving Algorithm and Optimal Mistake Bound
    • Regret
    • Weighted Majority Algorithm

Staff and Office Hours

Please use the CS6780 Piazza Forum as the primary channel for questions and discussions.

For peer feedback, we are using this CMT Instance for this course.

For grades, we are using CMS.

Office hours (join via Zoom):

  • Mondays, 10:30am-11:30am: Ashudeep Singh (Rhodes 402)
  • Mondays, 1:30pm-2:30pm: Aman Agarwal (Rhodes 412)
  • Thursdays, 11:30am-12:30pm: Ashudeep Singh (Rhodes 400)
  • Fridays, 11:00am-12:00pm: Thorsten Joachims (Gates 418)
  • Fridays, 2:00pm-3:00pm: Aman Agarwal (Rhodes 402)

Assignments and Exams

Homework assignments can be downloaded from CMS and they are submitted using the mechanism specified in the homework handout.

All assignments are due at the beginning of class on the due date. Assignments turned in late will be charged a 1 percentage point reduction of the cumulated final homework grade for each period of 24 hours for which the assignment is late. However, every student has a budget of 5 late days (i.e. 24 hour periods after the time the assignment was due) throughout the semester for which there is no late penalty. So, if you have perfect scores of 100 on all 4 homeworks and a total of 8 late days, your final homework score will be 97. No assignment will be accepted after the solution was made public, which is typically 3-5 days after the time it was due. You can submit late assignments via CMS.

Regrade requests can be submitted within 7 days after the grades have been made available using the mechanism specified in the homework handout.



This is a 4-credit course. Grades will be determined based on a written exam, a research project, homework assignments, and class participation.

  • 40%: Exam
  • 35%: Research Project
  • 20%: Homework (~4 assignments)
  • 5%: Class Participation (e.g., lecture, piazza)

To eliminate outlier grades for homeworks, the lowest grade is replaced by the second lowest grade when grades are cumulated at the end of the semester.

All assignment, exam, and final grades (including + and - of that grade) are roughly on the following scale: A=92-100; B=82-88; C=72-78; D=60-68; F= below 60.

For the research project, we will use peer review analogous to how scientific papers are reviewed for conferences and journals. This means that you will read and comment on other students work, which provides input for the TA's and the professor to determine the project grades. The quality of your reviewing also becomes a component of your own grade.

Students taking the class S/U do all work, except for the project, and need to receive at least a grade equivalent to a D to pass the course.


Reference Material

The main textbooks for the class is:

  • Kevin Murphy, "Machine Learning - a Probabilistic Perspective", MIT Press, 2012. (online via Cornell Library)

We will also read original research papers and other sources from the following list:

  • Tom Mitchell, "Machine Learning", McGraw Hill, 1997.
  • Cristianini, Shawe-Taylor, "Introduction to Support Vector Machines", Cambridge University Press, 2000. (online via Cornell Library)
  • Schoelkopf, Smola, "Learning with Kernels", MIT Press, 2001. (online)
  • Bishop, "Pattern Recognition and Machine Learning", Springer, 2006.
  • Ethem Alpaydin, "Introduction to Machine Learning", MIT Press, 2004.
  • Devroye, Gyoerfi, Lugosi, "A Probabilistic Theory of Pattern Recognition", Springer, 1997.
  • Duda, Hart, Stork, "Pattern Classification", Wiley, 2000.
  • Hastie, Tibshirani, Friedman, "The Elements of Statistical Learning", Springer, 2001.
  • Joachims, "Learning to Classify Text using Support Vector Machines", Kluwer, 2002.
  • Leeds Tutorial on HMMs (online)
  • Manning, Schuetze, "Foundations of Statistical Natural Language Processing", MIT Press, 1999. (online via Cornell Library)
  • Manning, Raghavan, Schuetze, "Introduction to Information Retrieval", Cambridge, 2008. (online)
  • Vapnik, "Statistical Learning Theory", Wiley, 1998.

Academic Integrity

This course follows the Cornell University Code of Academic Integrity. Each student in this course is expected to abide by the Cornell University Code of Academic Integrity. Any work submitted by a student in this course for academic credit will be the student's own work. Collaborations are allowed only if explicitly permitted. Violations of the rules (e.g. cheating, copying, non-approved collaborations) will not be tolerated. Respectful, constructive and inclusive conduct is expected of all class participants.