• Aug 1, 2021 Lasso dual Derivation of the Lasso solution from dual formulation using projection operator and some non-obvious properties that follow from the geometry of the dual formulation.
• Sep 25, 2020 Topological features applied to the MNIST data set Extraction of topological features that can be used as an input to standard algorithms to obtain qualitative geometric information.
• Jun 15, 2020 Some math behind water towers Finding the optimal arrangement of metal rings to reinforce the cylindrical structure of a water tank.
• Aug 1, 2019 Ridge regression Derivation of ridge regression estimator and it's properties, the role of the penalty function and the analysis of regularization parameter.
• Jul 14, 2019 Multicollinearity effect on OLS regression The cause of inflation effect of highly correlated regressors on ordinary least squares estimator.

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