27 citations · 30 across the 4 of their papers we have counts for
4 papers
On the exact relationship between the denoising function and the data distribution
Heikki Arponen, Matti Herranen, Harri Valpola
We prove an exact relationship between the optimal denoising function and the data distribution in the case of additive Gaussian noise, showing that denoising implicitly models the…
On generalizations of asymptotically AdS_3 spaces and geometry of SL(N)
Heikki Arponen
In three and two dimensions the asymptotic symmetry groups of spaces are infinite dimensional. This can be explained easily by noting the relations and $…
Kraichnan like model of turbulence with stratification
Heikki Arponen
A generalization to the Kraichnan gaussian, white noise in time model of turbulent velocity field is proposed. The generalization is designed to take into account the effects of st…
Dynamo effect in the Kraichnan magnetohydrodynamic turbulence
Heikki Arponen, Peter Horvai
The existence of a dynamo effect in a simplified magnetohydrodynamic model of turbulence is considered when the magnetic Prandtl number approaches zero or infinity. The magnetic fi…