5 papers
Exploring Memory Effects: Sparse Identification in Vector-Borne Diseases
Dimitri Breda, Muhammad Tanveer, Jianhong Wu +1
Predicting the human burden of vector-borne diseases from limited surveillance data remains a major challenge, particularly in the presence of nonlinear transmission dynamics and d…
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…
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…
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…
Sparse identification of time delay systems via pseudospectral collocation
Enrico Bozzo, Dimitri Breda, Muhammad Tanveer
We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a sy…