3 papers
math.AG2024
The log Grothendieck ring of varieties
Andreas Gross, Leo Herr, David Holmes +2
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the naïve definition of log Ho…
cs.CR2023
Digital Twins and the Future of their Use Enabling Shift Left and Shift Right Cybersecurity Operations
Ahmad Mohsin, Helge Janicke, Surya Nepal +1
Digital Twins (DTs), optimize operations and monitor performance in Smart Critical Systems (SCS) domains like smart grids and manufacturing. DT-based cybersecurity solutions are in…
cs.LG2023
Points of non-linearity of functions generated by random neural networks
David Holmes
We consider functions from the real numbers to the real numbers, output by a neural network with 1 hidden activation layer, arbitrary width, and ReLU activation function. We assume…