3 papers
math.AP2024
Well-posedness of rough 2D Euler equation with bounded vorticity
Leonardo Roveri, Francesco Triggiano
We consider the 2D Euler equation with bounded initial vorticity and perturbed by rough transport noise. We show that there exists a unique solution, which coincides with the start…
math.AP2024
Non-uniqueness of weak solutions for a logarithmically supercritical hyperdissipative Navier-Stokes system
Marco Romito, Francesco Triggiano
The existence of non-unique solutions of finite kinetic energy for the three dimensional Navier-Stokes equations is proved in the slightly supercritical hyper-dissipative setting i…
cs.LG2023
Gaussian processes based data augmentation and expected signature for time series classification
Marco Romito, Francesco Triggiano
The signature is a fundamental object that describes paths (that is, continuous functions from an interval to a Euclidean space). Likewise, the expected signature provides a statis…