7 papers
Bridging Schrödinger and Bass: A Semimartingale Optimal Transport Problem with Diffusion Control
Pierre Henry-Labordere, Grégoire Loeper, Othmane Mazhar +2
We study a semimartingale optimal transport problem interpolating between the Schrödinger bridge and the stretched Brownian motion associated with the Bass solution of the Skorokh…
Direct Estimation of Schrödinger Bridge Time-Series Drifts: Finite-Sample, Asymptotic, and Adaptive Guarantees
Othmane Mazhar, Huyên Pham
We study nonparametric estimation of Schrödinger bridge (SB) drifts from i.i.d.\ data observed on a single time interval. Starting from the conditional-ratio form of the Schrödin…
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…
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…
A PDE Derivation of the Schrödinger--Bass Bridge
Alexandre Alouadi, Pierre Henry-Labordère, Grégoire Loeper +3
This short paper announces the main results of \cite{SBB2026}, where the Schrödinger--Bass Bridge (SBB) problem is introduced and studied in full generality. Here we provide a dir…
Monte Carlo-Type Neural Operator for Differential Equations
Salah Eddine Choutri, Prajwal Chauhan, Othmane Mazhar +1
The Monte Carlo-type Neural Operator (MCNO) introduces a framework for learning solution operators of one-dimensional partial differential equations (PDEs) by directly learning the…