Lars Simon

activity

20172023

collaborators

7 papers

quant-ph2023

On Neural Quantum Support Vector Machines

Lars Simon, Manuel Radons

In \cite{simon2023algorithms} we introduced four algorithms for the training of neural support vector machines (NSVMs) and demonstrated their feasibility. In this note we introduce…

math.CV2021

Homogeneous Plurisubharmonic Polynomials in Higher Dimensions

Lars Simon

We prove several results on homogeneous plurisubharmonic polynomials on $C^{n}$ , $n \in Z_{\geq 2}$ . Said results are relevant to the problem of constructing local bu…

math.CV2019

Sup-norm Estimates for $\partial$ in $C^{3}$

Dusty Grundmeier, Lars Simon, Berit Stensønes

We develop a method for proving sup-norm and Hölder estimates for $\partial$ on wide class of finite type pseudoconvex domains in $C^{n}$ . A fundamental obstructi…

math.CV2018

An Example on $s$ -H-Convexity in $C^{2}$

Lars Simon, Berit Stensønes

We construct a bounded domain $Ω$ in $C^{2}$ with boundary of class $C^{1, 1}$ , such that $Ω$ has a Stein neighborhood basis, but is not $s$ -H-convex for a…

math.CV2018

A Homogeneous Function Constant along the Leaves of a Foliation

Lars Simon

Given a smooth foliation by complex curves (locally around a point $x \in C^{2} ∖ {0}$ ) which is "compatible" with the foliation by spheres centered at the origin, we…

math.CV2018

A Parameter Version of Forstnerič's Splitting Lemma

Lars Simon

We construct solution operators to the $\partial$ -equation that depend continuously on the domain. This is applied to derive a parameter version of Forstnerič's splittin…

math.CV2017

On Newton Diagrams of Plurisubharmonic Polynomials

Lars Simon, Berit Stensønes

Each extreme edge of the Newton diagram of a plurisubharmonic polynomial on $C^{2}$ gives rise to a plurisubharmonic polynomial. It is tempting to believe that the union of…

On Neural Quantum Support Vector Machines

Homogeneous Plurisubharmonic Polynomials in Higher Dimensions

Sup-norm Estimates for ∂ in C3

An Example on s-H-Convexity in C2

A Homogeneous Function Constant along the Leaves of a Foliation

A Parameter Version of Forstnerič's Splitting Lemma

On Newton Diagrams of Plurisubharmonic Polynomials

Sup-norm Estimates for $\partial$ in $C^{3}$

An Example on $s$ -H-Convexity in $C^{2}$