7 papers
Physics-Informed Deep Learning for False Ventricular Tachycardia Alarm Reduction in the ICU
Athanasios Papastathopoulos-Katsaros, Alexandra Stavrianidi, Zhandong Liu
False ventricular tachycardia (VT) alarms are a leading contributor to alarm fatigue in intensive care units. We propose a deep learning framework combining a 1D SE-ResNet with ICU…
Long-time behavior for systems of Fisher-KPP type with interacting components
Alexandra Stavrianidi
We study the long-time behavior of a triangular system of Fisher--KPP type with interacting components, associated with a reducible multitype branching Brownian motion with …
On the density of the supremum of nonlinear SPDEs
Georgia Karali, Alexandra Stavrianidi, Konstantinos Tzirakis +1
We study the one-dimensional stochastic partial differential equation \begin{equation*} \frac{\partial u}{\partial t}(t,x) = -κ\frac{\partial^4 u}{\partial x^4}(t,x) + ρ\frac{\part…
Improving physics-informed neural network extrapolation via transfer learning and adaptive activation functions
Athanasios Papastathopoulos-Katsaros, Alexandra Stavrianidi, Zhandong Liu
Physics-Informed Neural Networks (PINNs) are deep learning models that incorporate the governing physical laws of a system into the learning process, making them well-suited for so…
Malliavin Calculus for the stochastic heat equation and results on the density
D. Farazakis, G. Karali, A. Stavrianidi
We study the one-dimensional stochastic heat equation with unbounded, nonlinear,Lipschitz coefficients with Dirichlet boundary conditions. Using Malliavin calculus, we construct a…
Algebraic genericity of frequently universal harmonic functions on trees
N. Biehler, V. Nestoridis, A. Stavrianidi
We show that the set of frequently universal harmonic functions on a tree T contains a vector space except 0 which is dense in the space of harmonic functions on T seen as subset o…
Generic non-extendability and total unboundedness in function spaces
V. Nestoridis, A. G. Siskakis, A. Stavrianidi +1
For a function space $X(\OO)$ satisfying weak assumptions we prove that the generic function in $X(\OO)$ is totally unbounded, hence non-extendable. We provide several examples of…