103 citations · 184 across the 37 of their papers we have counts for
7 papers · 1 filter
Supervised Autoencoders with Fractionally Differentiated Features and Triple Barrier Labelling Enhance Predictions on Noisy Data
Bartosz Bieganowski, Robert Ślepaczuk
This paper investigates the enhancement of financial time series forecasting with the use of neural networks through supervised autoencoders (SAE), to improve investment strategy p…
Multiplicity of critical orbits to nonlinear, strongly indefinite functionals with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
We show an abstract critical point theorem about existence of infinitely many critical orbits to strongly indefinite functionals with sign-changing nonlinear part defined on a disl…
Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities
Bartosz Bieganowski, Olímpio Hiroshi Miyagaki, Jacopo Schino
Via a constrained minimization, we find a solution to the problem \begin{equation*} \begin{cases} (-Δ)^m u+\fracμ{|x|^{2m}}u + λu = ηu^3 + g(u)\\ \int_{\mathbb{R}^{2m}} u^2…
Traveling waves for nonlinear Schrödinger equations
Laura Baldelli, Bartosz Bieganowski, Jarosław Mederski
We look for traveling wave solutions to the nonlinear Schrödinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our a…
Note on homoclinic solutions to nonautonomous Hamiltonian systems with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
In the paper, we utilize the recent variational, abstract theorem to show the existence of homoclinic solutions to the Hamiltonian system $$ \dot{z} = J D_z H(z, t), \quad t \in \m…
Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities
Bartosz Bieganowski, Pietro d'Avenia, Jacopo Schino
We study the existence of solutions to \[ -Δu + λu = f(u) \quad \text{in } \mathbb{R}^N \] with…