I’ve just arXived a new paper about a new invariant, The magnitude of a graph. Much of the development of this invariant has taken place at this blog, with two previous posts and crucial contributions ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

Mathematics of Computation, Vol. 84, No. 294 (JULY 2015), pp. 1835-1860 (26 pages) The Padé approximation has a long and rich history of theory and application and is known to produce excellent local ...

This is the repo for GraphComBO, a Bayesian optimization tool for black-box and expensive functions defined over node subsets in graphs, where the goal is to find the optimal subset within a limited ...

Abstract: This paper concentrates on the Lebesgue functions of rational interpolation of non-band-limited continuous time signals. Approximation based on sampling and interpolation are cornerstones of ...

Abstract: The rise of graph-structured data such as social networks, regulatory networks, citation graphs, and functional brain networks, in combination with resounding success of deep learning in ...