4 papers · 1 filter
A Zeroth-Order Deep Learning Method for Fully Nonlinear Parabolic Partial Differential Equations with Unknown Coefficients
Yanwei Jia, Du Ouyang, Huyên Pham +1
High-dimensional partial differential equations (PDEs) with unknown coefficients arise widely in scientific machine learning, including continuous-time reinforcement learning, yet…
SBBTS: A Unified Schrödinger-Bass Framework for Synthetic Financial Time Series
Alexandre Alouadi, Grégoire Loeper, Célian Marsala +2
We study the problem of generating synthetic time series that reproduce both marginal distributions and temporal dynamics, a central challenge in financial machine learning. Existi…
LightSBB-M: Bridging Schrödinger and Bass for Generative Diffusion Modeling
Alexandre Alouadi, Pierre Henry-Labordère, Grégoire Loeper +3
The Schrodinger Bridge and Bass (SBB) formulation, which jointly controls drift and volatility, is an established extension of the classical Schrodinger Bridge (SB). Building on th…
Robust time series generation via Schrödinger Bridge: a comprehensive evaluation
Alexandre Alouadi, Baptiste Barreau, Laurent Carlier +1
We investigate the generative capabilities of the Schrödinger Bridge (SB) approach for time series. The SB framework formulates time series synthesis as an entropic optimal interpo…