Papers, ranked by score

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

Stochastic Knothe-Rosenblatt: Light-speed Calibration of Stochastic Local Volatility Models

European option smiles determine the risk-neutral marginal laws of an asset, but not their intertemporal coupling, which is decisive for many applications. The Bass martingale construction selects, among all calibrated martingales, the one closest to Bachelier dynamics; it permits fast calibration a

Holy Grail Math 9 Rigor 6 ·  September 30, 2026

The geometry of financial institutions -- Wasserstein clustering of financial data

The increasing availability of granular and big data on various objects of interest has made it necessary to develop methods for condensing this information into a representative and intelligible map. Financial regulation is a field that exemplifies this need, as regulators require diverse and often

Holy Grail Math 7.5 Rigor 5.5 ·  May 5, 2023

Change of numeraire for weak martingale transport

Change of numeraire is a classical tool in mathematical finance. Campi-Laachir-Martini established its applicability to martingale optimal transport. We note that the results of Campi-Laachir-Martini extend to the case of weak martingale transport. We apply this to shadow couplings, continuous time

Lab Rats Math 8.5 Rigor 2 ·  June 11, 2024

Bridging classical and martingale Schrödinger bridges

We investigate the martingale Schrödinger bridge, recently introduced by Nutz and Wiesel as a distinguished martingale transport plan between two probability measures in convex order. We show that this construction extends naturally to arbitrary dimension and admits several equivalent characterizati

Lab Rats Math 9 Rigor 1.5 ·  April 1, 2026

Strassen's theorem for biased convex order

Strassen’s theorem asserts that for given marginal probabilities $μ,ν$ there exists a martingale starting in $μ$ and terminating in $ν$ if and only if $μ,ν$ are in convex order. From a financial perspective, it guarantees the existence of market-consistent martingale pricing measures for arbitrage-f

Lab Rats Math 9.5 Rigor 1 ·  September 16, 2025

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