Papers, ranked by score

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

Optimal execution in a fractional setting with reinforcement learning

We consider the problem of optimal liquidation with linear market impact, as in the seminal work of Almgren and Chriss, but with an asset driven by a fractional Brownian motion. For $H \neq 1/2$, we observe that the deterministic solution given by Almgren and Chriss is no longer optimal. We develop

Holy Grail Math 8.5 Rigor 7 ·  November 8, 2026

Asymptotic and finite-sample distributions of one- and two-sample empirical relative entropy, with application to change-point detection

Relative entropy, as a divergence metric between two distributions, can be used for offline change-point detection and extends classical methods that mainly rely on moment-based discrepancies. To build a statistical test suitable for this context, we study the distribution of empirical relative entr

Holy Grail Math 8.5 Rigor 6 ·  December 18, 2025

Prediction of linear fractional stable motions using codifference, with application to non-Gaussian rough volatility

The linear fractional stable motion (LFSM) extends the fractional Brownian motion (fBm) by considering $α$-stable increments. We propose a method to forecast future increments of the LFSM from past discrete-time observations, using the conditional expectation when $α>1$ or a semimetric projection ot

Holy Grail Math 8.5 Rigor 6 ·  July 21, 2025

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