7 papers
Deep-MKV-TS: Path-Dependent McKean--Vlasov Control for Financial Time Series Generation
Samer El Boustany, Théo Basseras, Samy Mekkaoui +3
We introduce Deep-MKV-TS, a path-dependent McKean-Vlasov framework for financial scenario generation. The stochastic dynamics are chosen by matching selected path and volatility fe…
The Fundamental Structure of Risk: From Characteristics to Covariance
Alexandre Alouadi, Charles-Albert Lehalle
Estimating the covariance structure of financial assets typically relies on historical returns, making risk models dependent on noisy and asset-specific time series. We propose the…
Learning Generative Dynamics with Soft Path-Law Constraints: A McKean-Vlasov FBSDE Approach
Samer El Boustany, Samy Mekkaoui, Yadh Hafsi +2
We introduce a unified framework for learning stochastic dynamics from distributional observations and discretely observed trajectories. The key contribution is to combine soft law…
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 dire…
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…