activity
20162023
most citedPartial orders on metric measure spaces

2 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2023★ 1 cited

The Continuous Stochastic Gradient Method: Part II -- Application and Numerics

Max Grieshammer, Lukas Pflug, Michael Stingl +1

In this contribution, we present a numerical analysis of the continuous stochastic gradient (CSG) method, including applications from topology optimization and convergence rates. I…

math.OC2022★ 1 cited

The Continuous Stochastic Gradient Method: Part I -- Convergence Theory

Max Grieshammer, Lukas Pflug, Michael Stingl +1

In this contribution, we present a full overview of the continuous stochastic gradient (CSG) method, including convergence results, step size rules and algorithmic insights. We con…

math.OC2021

CSG: A stochastic gradient method for a wide class of optimization problems appearing in a machine learning or data-driven context

Lukas Pflug, Max Grieshammer, Andrian Uihlein +1

A recent article introduced thecontinuous stochastic gradient method (CSG) for the efficient solution of a class of stochastic optimization problems. While the applicability of kno…

math.PR2019

Measure representation of evolving genealogies

Max Grieshammer

We study evolving genealogies, i.e. processes that take values in the space of (marked) ultra-metric measure spaces and satisfy some sort of "consistency" condition. This condition…

math.PR2019★ 2 cited

Family size decomposition of genealogical trees

Max Grieshammer

We study the path of family size decompositions of varying depth of genealogical trees. We prove that this decomposition as a function on (equivalence classes of) ultra-metric meas…

math.PR2018★ 1 cited

Genealogical distance under selection

Max Grieshammer

We study the genealogical distance of two randomly chosen individuals in a population that evolves according to a two type Moran model with mutation and selection. We prove that th…