3 papers
math.DS2025
Sparse identification of delay equations with distributed memory
Dimitri Breda, Muhammad Tanveer, Jianhong Wu
We present a novel extension of the SINDy framework to delay differential equations with {\it distributed delays} and {\it renewal equations}, where typically the dependence from t…
math.NA2025
Data-driven Methods for Delay Differential Equations
Dimitri Breda, Xunbi A. Ji, Gábor Orosz +1
Data-driven methodologies are nowadays ubiquitous. Their rapid development and spread have led to applications even beyond the traditional fields of science. As far as dynamical sy…
math.NA2025
Sparse Identification of Nonlinear Dynamics for Stochastic Delay Differential Equations
Dimitri Breda, Dajana Conte, Raffaele D'Ambrosio +2
A general framework for recovering drift and diffusion dynamics from sampled trajectories is presented for the first time for stochastic delay differential equations. The core reli…