2 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
Adaptive estimation of the -norm of a probability density and related topics II. Upper bounds via the oracle approach
Galatia Cleanthous, Athanasios G. Georgiadis, Oleg V. Lepski
This is the second part of the research project initiated in Cleanthous et al (2024). We deal with the problem of the adaptive estimation of the -norm of a probabilit…
Adaptive estimation of -norm of a probability density and related topics I. Lower bounds
Galatia Cleanthous, Athanasios G. Georgiadis, Oleg V. Lepski
We deal with the problem of the adaptive estimation of the -norm of a probability density on , , from independent observations. The unknown den…
Pointwise density estimation on metric spaces and applications in seismology
Galatia Cleanthous, Athanasios G. Georgiadis, Philip A. White
We are studying the problem of estimating density in a wide range of metric spaces, including the Euclidean space, the sphere, the ball, and various Riemannian manifolds. Our frame…
Minimax Density Estimation on Sobolev Spaces With Dominating Mixed Smoothness
Galatia Cleanthous, Athanasios G. Georgiadis, Emilio Porcu
We study minimax density estimation on the product space . We consider -risk for probability density functions defined over regularity…