Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Schrödinger bridges with jumps for time series generation

We study generative modeling for time series using entropic optimal transport and the Schrödinger bridge (SB) framework, with a focus on applications in finance and energy modeling. Extending the diffusion-based approach of Hamdouche, Henry-Labordère, Pham, 2023, we introduce a jump-diffusion Schröd

Holy Grail Math 8.5 Rigor 7.5 ·  February 23, 2026

SBBTS: A Unified Schrödinger-Bass Framework for Synthetic Financial Time Series

We study the problem of generating synthetic time series that reproduce both marginal distributions and temporal dynamics, a central challenge in financial machine learning. Existing approaches typically fail to jointly model drift and stochastic volatility, as diffusion-based methods fix the volati

Holy Grail Math 8 Rigor 7.5 ·  April 8, 2026

Generative modeling for time series via Schr{ö}dinger bridge

We propose a novel generative model for time series based on Schr{ö}dinger bridge (SB) approach. This consists in the entropic interpolation via optimal transport between a reference probability measure on path space and a target measure consistent with the joint data distribution of the time series

Holy Grail Math 8 Rigor 7.5 ·  April 11, 2023

Mean-field neural networks-based algorithms for McKean-Vlasov control problems *

This paper is devoted to the numerical resolution of McKean-Vlasov control problems via the class of mean-field neural networks introduced in our companion paper [25] in order to learn the solution on the Wasserstein space. We propose several algorithms either based on dynamic programming with contr

Lab Rats Math 8.5 Rigor 4 ·  December 22, 2022

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