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On Eigenvalues, Homotopy, and Root Loci

Consider an $$n+1$$ dimensional matrix as follows: $$ A = \begin{pmatrix} \frac{\pi^2}{6} & 1 & \frac{1}{4} & ... & \frac{1}{n^2} \\ 1 & \frac{\pi^2}{6} & \frac{1}{4} & ... & \frac{1}{n^2} \\ \vdots & …

Technology Readiness Levels of AI methods

Recent news of the SpaceX catching its Starship Super Heavy booster1 is quite discussed and marveled upon in the media, and rightly so. Executing what was done can perhaps be explained as trying to …

Why I am studying this: Data Driven Safety

This is my attempt to try to motivate and justify why I am studying what I study, and to try to justify the title of my dissertation. While most emphasis on safety has been provided from a …

The Industry-Academia split in Control Systems

I often wonder why the “cutting edge” research that we read about in the foremost scientific journals & conferences in Control Systems are never applied in the industry. Because …

MLP Approximation

Almost always we hear about classification or machine learning problems, the go-to methods to solve the problem are neural networks, or multi-layered percetrons (MLP). Now function approximation …