Review: Geoffrey S. Watson, Statistics on Spheres

Lagrangian Spheres in S

Collision statistics in sheared inelastic hard spheres.

The dynamics of sheared inelastic-hard-sphere systems is studied using nonequilibrium molecular-dynamics simulations and direct simulation Monte Carlo. In the molecular-dynamics simulations Lees-Edwards boundary conditions are used to impose the shear. The dimensions of the simulation box are chosen to ensure that the systems are homogeneous and that the shear is applied uniformly. Various syst...

IBM Watson Analytics: Automating Visualization, Descriptive, and Predictive Statistics

BACKGROUND We live in an era of explosive data generation that will continue to grow and involve all industries. One of the results of this explosion is the need for newer and more efficient data analytics procedures. Traditionally, data analytics required a substantial background in statistics and computer science. In 2015, International Business Machines Corporation (IBM) released the IBM Wat...

MEAN VALUE INTERPOLATION ON SPHERES

In this paper we consider   multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have   concentric spheres. Indeed, we consider the problem in three variables when it is not correct.  

Going Watson on MNIST

Description of task: The MNIST, a database of Handwritten Digit Classification, (possibly) the most famous dataset in the field of Machine Learning is studied using different classification techniques on it and did a comparative analysis to reproduce the best possible accuracy on it. The standard algorithms were improved by applying various techniques such as extracting features via feature ext...