Machine Learning

A 2-Day Seminar Taught by Stephen Vardeman, Ph.D. 

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Modern researchers increasingly find themselves facing a new paradigm where data are no longer scarce and expensive, but rather abundant and cheap. Both numbers of cases/instances and numbers of variables/features are exploding. This new reality raises important issues in effective data analysis.

Of course, the basic statistical objective–discovery and quantitative description of simple structure–remains unchanged. But new possibilities for applying highly flexible methods (not practical in “small data” contexts) must be reconciled with the inherent sparsity of essentially any data set comprised of a large number of features–and the corresponding danger of overfitting and unwarranted generalization from data in hand. Modern statistical machine methods rationally and effectively address these new realities.

This course first describes and explains the new context, formulates issues that it raises, and points to cross-validation as a fundamental tool for matching method flexibility/complexity to data set information content in predictive problems. Then a variety of modern squared error loss prediction methods (modern regression methods) will be discussed, related to optimal prediction, and illustrated using standard R packages. These will include

  • smoothing methods
  • shrinkage for linear prediction (ridge, lasso, and elastic net predictors)
  • regression trees
  • random forests, and
  • boosting

Next a variety of modern classification methods will be introduced, related to optimal classification, and illustrated using standard R packages. These will include:

  • linear methods for classification (linear discriminant analysis, logistic regression, support vector classifiers)
  • kernel extensions of support vector classifiers
  • classification trees
  • adaboost, and
  • other ensemble classifiers

Finally, we’ll discuss some methods of modern “unsupervised” statistical machine learning, where the object is not prediction of a particular response variable but rather discovery of relations among features or natural groupings of either cases or features. These will include principal components and clustering methods

The course will consist of both lectures and hands-on R sessions.

Who should attend?

This course is designed for those who wish to make predictions of quantitative or qualitative responses from multiple inputs in modern data-rich contexts, and need to search for internal patterns in large multivariate datasets. A sound understanding of ordinary multiple linear regression will be assumed and an exposure to logistic regression will be helpful, as will some familiarity with matrices and matrix operations. Familiarity with basic probability concepts including joint, marginal, and conditional distributions, expected value and variance, and normal and binomial distributions will also be assumed.


Students will be expected to bring their own laptops with R and RStudio downloaded and ready for use in the classroom. A list of packages to install before the course will be provided. A rudimentary knowledge of the use of R (such as can be obtained working through any number of online introductions to the system) will be assumed.


The class will meet from 9 am to 5 pm each day with a 1-hour lunch break at Temple University Center City, 1515 Market Street, Philadelphia, PA 19103. 

Participants receive a bound manual containing detailed lecture notes (with equations and graphics), examples of computer printout, and many other useful features. This book frees participants from the distracting task of note taking. 

Registration and lodging

The fee of $995.00 includes all seminar materials. The early registration fee of $895.00 is available until May 8. 

Refund Policy
If you cancel your registration at least two weeks before the course is scheduled to begin, you are entitled to a full refund (minus a processing fee of $50). 

Lodging Reservation Instructions
A block of guest rooms has been reserved at the Club Quarters Hotel, 1628 Chestnut Street, Philadelphia, PA at a special rate of $154 per night. This location is about a 5 minute walk to the seminar location. In order to make reservations, call 203-905-2100 during business hours and identify yourself as part of the Statistical Horizons room block. For guaranteed rate and availability, you must reserve your room no later than Monday, May 08, 2017.

If you make reservations after the cut-off date ask for the Statistical Horizons room rate (do not use the code) and they will try to accommodate your request.


1. Generalities about Modern Statistical Learning
2. Generalities about SEL Prediction (Modern Regression)
     Form of the Best SEL Predictor/Near Neighbors
     “Variance/Bias” Tradeoff and Model Bias
     Over-fitting and Holdout-Strategies/Cross Validation
3. SEL Prediction Methods
     Smoothing-Low D and Additive Models
     Linear Prediction Methods    
         Least Squares
         Ridge/Lasso/Elastic Net
     Regression Trees    
         Bootstrapping and Random Forests  
         OOB errors
     Other Ensemble Methods and Ideas
4. Generalities about Classification
     Form of the Best Classifier/Near Neighbors
5. Classification Methods
     Density-Based Approximation
     “Naïve Bayes”
     Linear Classification Rules    
         Linear Discriminant Analysis    
         Logistic Regression    
         Support Vector Classifiers
    Extensions of Linear Methods    
     Classification Trees and Random Forests
     Ensemble Classifiers
6. Introduction to Unsupervised Methods
     Principal Components

Comments by recent participants

“This class is designed to learn the foundations of Machine Learning and get insight behind the theory for each Machine Learning method. Also, the course provides students the chance to learn the R as the platform for each method. The face to face learning provides students a chance to discuss each topic with the teacher.”

“I like this course because it refreshed the statistical knowledge I had before. The good thing is it provides all slides and R code/data, so after the workshop one can still go over the information. No need to know a lot of R before coming.”
  Rongjin Guan, Rutgers University