Document Type masters report Author Name He, Shiquan URN etd-011410-181727 Title A Review of Linear Regression and some Basic Proofs for Lasso Degree MS Department Mathematical Sciences Advisors Zheyang Wu, Advisor Bogdan M. Vernescu, Department Head Keywords Linear regression lasso Date of Presentation/Defense 2010-01-14 Availability unrestricted
The goal of this paper is to do some basic proofs for lasso and have a deep understanding of linear regression. In this paper, firstly I give a review of methods in linear regression, and most concerns with the method of lasso. Lasso for ¡®least absolute shrinkage and selection operator¡¯ is a regularized version of method adds a constraint which uses norm less or equal to a given value t. By doing so, some predictor coefficients would be shrank and some others might be set to 0. We can attain good interpretation and prediction accuracy by using lasso method. Secondly, I provide some basic proofs for lasso, which would be very helpful in understanding lasso. Additionally, some geometric graphs are also given and one example is illustrated.
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