245 citations · 682 across the 20 of their papers we have counts for
Showing math.OCShow all
3 papers · 1 filter
math.OC2022★ 1 cited
Tight Convergence Rate Bounds for Optimization Under Power Law Spectral Conditions
Maksim Velikanov, Dmitry Yarotsky
Performance of optimization on quadratic problems sensitively depends on the low-lying part of the spectrum. For large (effectively infinite-dimensional) problems, this part of the…
math.OC2016★ 6 cited
Three-Dimensional Multi-Tethered Satellite Formation with the Elements Moving Along Lissajous Curves
D. Yarotsky, V. Sidorenko, D. Pritykin
This note presents a novel approach to maintain three-dimensional multi-tethered satellite formation in space. For a formation consisting of a main body connected by tethers with s…
math.OC2011★ 11 cited
Examples of inconsistency in optimization by expected improvement
Dmitry Yarotsky
We consider the 1D Expected Improvement optimization based on Gaussian processes having spectral densities converging to zero faster than exponentially. We give examples of problem…