5 citations · 7 across the 6 of their papers we have counts for
11 papers
On the Theoretical Properties of Noise Correlation in Stochastic Optimization
Aurelien Lucchi, Frank Proske, Antonio Orvieto +2
Studying the properties of stochastic noise to optimize complex non-convex functions has been an active area of research in the field of machine learning. Prior work has shown that…
On the Analysis of a Generalised Rough Ait-Sahalia Interest Rate Model
Emmanuel Coffie, Xuerong Mao, Frank Proske
Fractional Brownian motion with the Hurst parameter is used widely, for instance, to describe a 'rough' stochastic volatility process in finance. In this paper, we…
Sensitivity Analysis with respect to a Stock Price Model with Rough Volatility via a Bismut-Elworthy-Li Formula for Singular SDEs
Emmanuel Coffie, Sindre Duedahl, Frank Proske
In this paper, we show the existence of unique Malliavin differentiable solutions to SDE`s driven by a fractional Brownian motion with Hurst parameter H<1/2 and singular, unbounded…
Thiele's Differential Equation Based on Markov Jump Processes with Non-countable State Space
Emmanuel Coffie, Sindre Duedahl, Frank Proske
In modern life insurance, Markov processes in continuous time on a finite or at least countable state space have been over the years an important tool for the modelling of the stat…
Restoration of Well-Posedness of Infinite-dimensional Singular ODE's via Noise
David Baños, Martin Bauer, Thilo Meyer-Brandis +1
In this paper we aim at generalizing the results of A. K. Zvonkin and A. Y. Veretennikov on the construction of unique strong solutions of stochastic differential equations with si…
Strong Solutions of Mean-Field Stochastic Differential Equations with irregular drift
Martin Bauer, Thilo Meyer-Brandis, Frank Proske
We investigate existence and uniqueness of strong solutions of mean-field stochastic differential equations with irregular drift coefficients. Our direct construction of strong sol…