2 citations · 2 across the 6 of their papers we have counts for
6 papers
Path-dependent Affine Processes
Boris Günther, Thomas Kruse, Ludger Overbeck +1
We extend the classical theory of affine processes to a path-dependent setting by introducing path-dependent coefficients and provide analytic formulas for their Fourier--Laplace t…
Optimal Asymptotic Rates for (Stochastic) Gradient Descent under the Local PL-Condition: A Geometric Approach
Sebastian Kassing, Thomas Kruse
Stochastic gradient descent (SGD) has been studied extensively over the past decades due to its simplicity and broad applicability in machine learning. In this work, we analyze the…
Time discretization of BSDEs with singular terminal condition using asymptotic expansion
Thomas Kruse, Julia Ackermann, Alexandre Popier
We consider a class of backward stochastic differential equations (BSDEs) with singular terminal condition and develop a numerical scheme to approximate their solution. To this end…
Matrix Riccati BSDEs with singular terminal condition and stochastic LQ control with linear terminal constraint
Julia Ackermann, Thomas Kruse, Petr Petrov +1
We analyze a class of multidimensional linear-quadratic stochastic control problems with random coefficients, motivated by multi-asset optimal trade execution. The problems feature…
L^p -solution for BSDEs with jumps in the case p \textless{} 2. Corrections to the paper "BSDEs with monotone generator driven by Brownian and Poisson noises in a general filtration"
Thomas Kruse, Alexandre Popier
In [8] we established existence and uniqueness of solutions of backward stochastic differential equations in L^p under a monotonicity condition on the generator and in a general fi…
Backward Stochastic Differential Equations with Nonmarkovian Singular Terminal Values
Ali Devin Sezer, Thomas Kruse, Alexandre Popier
We solve a class of BSDE with a power function , , driving its drift and with the terminal boundary condition (for which…