Justin Boone reveals his fantasy football strength of schedule matrix to identify the level of difficulty for matchups this season.

using Diagonalizations, PosDefManifold, Test n, t=10, 100 # generate an nxt data matrix X=genDataMatrix(n, t) # principal component analysis pX=pca(X) # the following is an equivalent constructor ...

Abstract: This article introduces a new model order reduction method for a linear time-invariant system with symmetric positive-definite matrices. The proposed method allows the construction of a ...

Abstract: Positroids are a class of ordered matroids that can be represented by a real matrix with all non-negative maximal minors. These structures are surprisingly rich and have been studied in ...

This library provides a solve_qp function to solve convex quadratic programs: $$ \begin{split} \begin{array}{ll} \underset{x}{\mbox{minimize}} & \frac{1}{2} x^T P x + q^T x \\ \mbox{subject to} & G x ...

Abstract: This paper addresses the issue of large covariance matrix estimation in a high-dimensional statistical analysis. Recently, improved iterative algorithms with positive-definite guarantee have ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...

In this paper we present an analogous result of the famous Kalman controllability criterion for first order linear ordinary differential equations with constant coefficients that applies to the case ...

This paper explores the mathematics behind optimal portfolio construction when relative utility and risk are considered together in a general sense. I derive the ...

The Human Connectome Project (HCP) 1 is acquiring high-quality in vivo macroscopic-level connectome imaging data from over a thousand healthy adult subjects in an effort to elucidate the neural ...