F. Piazzon

activity

20152022

collaborators

7 papers

math.NA2022

Computing optimal experimental designs on finite sets by log-determinant gradient flow

Federico Piazzon

Optimal experimental designs are probability measures with finite support enjoying an optimality property for the computation of least squares estimators. We present an algorithm f…

math.CV2020

Correction/Addendum to "The Extremal Function for the Complex Ball for Generalized Notions of Degree and Multivariate Polynomial Approximation"

T. Bloom, L. Bos, N. Levenberg +2

We correct the calculation of the Monge-Ampère measure of a certain extremal plurisubharmonic function for the complex Euclidean ball in C^2.

math.AP2019

Transport Energy

Enrico Facca, Federico Piazzon

We introduce the \emph{transport energy} functional $E$ (a variant of the Bouchitté-Buttazzo-Seppecher shape optimization functional) and we prove that its unique minimize…

math.CV2018

The extremal plurisubharmonic function of the torus

Federico Piazzon

We compute the extremal plurisubharmonic function of the real torus viewed as a compact subset of its natural algebraic complexification.

math.CV2018

The Extremal Function for the Complex Ball for Generalized Notions of Degree and Multivariate Polynomial Approximation

T. Bloom, L. Bos, N. Levenberg +2

We discuss the Siciak-Zaharjuta extremal function of pluripotential theory for the unit ball in C^d for spaces of polynomials with the notion of degree determined by a convex body…

math.CV2015

A weighted extremal function and equilibrium measure

Len Bos, Norman Levenberg, Sione Ma`u +1

Let $K = R^{n} \subset C^{n}$ and $Q (x) := \frac{1}{2} lo g (1 + x^{2})$ where $x = (x_{1}, ..., x_{n})$ and $x^{2} = x_{1}^{2} + \dots + x_{n}^{2}$ . Utilizing extremal functions for convex bodies in ${…