Papers, ranked by score

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

Central limit theorem for a partially observed interacting system of Hawkes processes I: subcritical case

We consider a system of $N$ Hawkes processes and observe the actions of a subpopulation of size $K \le N$ up to time $t$, where $K$ is large. The influence relationships between each pair of individuals are modeled by i.i.d.Bernoulli($p$) random variables, where $p \in [0,1]$ is an unknown parameter

Lab Rats Math 9.5 Rigor 1.5 ·  January 3, 2026

Convergence of the generalization error for deep gradient flow methods for PDEs

The aim of this article is to provide a firm mathematical foundation for the application of deep gradient flow methods (DGFMs) for the solution of (high-dimensional) partial differential equations (PDEs). We decompose the generalization error of DGFMs into an approximation and a training error. We f

Lab Rats Math 9.5 Rigor 1.5 ·  December 31, 2025

Convergence rates for Backward SDEs driven by Lévy processes

We consider Lévy processes that are approximated by compound Poisson processes and, correspondingly, BSDEs driven by Lévy processes that are approximated by BSDEs driven by their compound Poisson approximations. We are interested in the rate of convergence of the approximate BSDEs to the ones driven

Lab Rats Math 9 Rigor 1.5 ·  February 2, 2024

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