# Index

Maximum cut and Goemans-Williamson The famous semidefinite programming relaxation and the duality with the Sum-of-Squares hierarchy framework. more ...

Layout optimization for a solar tower power plant Finding the optimal arrangement of heliostats to maximize the energy production of a solar tower power plant. more ...

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. more ...

Topological features applied to the MNIST data set A tutorial on extracting topological features that can be used as input to standard algorithms to obtain qualitative geometric information. more ...

Some math behind water towers Finding the optimal arrangement of metal rings to reinforce the cylindrical structure of a water tank. more ...

On Storey's direct approach to false discovery rates Properties of Storey's estimator and duality with Benjamini-Hochberg procedure. more ...

Ridge regression Derivation of ridge regression estimator and it's properties, the role of the penalty function and the analysis of regularization parameter. more ...

Multicollinearity effect on OLS regression The cause of inflation effect of highly correlated regressors on ordinary least squares estimator. more ...