2025 workshop program
Evolution of linear matter perturbations with error-bounded bundle physics-informed neural networks
The work
Abstract
We consider the evolution of linear matter perturbations in the context of the standard cosmological model (ΛCDM) and a phenomenological modified gravity model. We use the physics-informed neural network (PINN) bundle method, which allows to integrate differential systems as an alternative to the traditional numerical method. We apply the PINN bundle method to the equation that describes the matter perturbation evolution, to compare its outcomes with recent data on structure growth, fσ8. Unlike our previous works, we can calculate a bound on the error of this observable without using the numerical solution of the equation. For this, we use a method developed previously by ourselves to calculate an exact bound on the PINN-based solution using only the outcomes of the network and its residual.