40 citations · 460 across the 64 of their papers we have counts for
4 papers · 1 filter
Complex best -term approximations almost always exist in finite dimensions
Yang Qi, Mateusz Michałek, Lek-Heng Lim
We show that in finite-dimensional nonlinear approximations, the best -term approximant of a function almost always exists over but that the same is not true ov…
When is a polynomial ideal binomial after an ambient automorphism?
Lukas Katthän, Mateusz Michałek, Ezra Miller
Can an ideal I in a polynomial ring k[x] over a field be moved by a change of coordinates into a position where it is generated by binomials with c in k, or by unital…
Phylogenetic complexity of the Kimura 3-parameter model
Mateusz Michałek, Emanuele Ventura
In algebraic statistics, the Kimura 3-parameter model is one of the most interesting and classical phylogenetic models. We prove that the ideals associated to this model are genera…
Selected topics on Toric Varieties
Mateusz Michałek
This article is based on a series of lectures on toric varieties given at RIMS, Kyoto. We start by introducing toric varieties, their basic properties and later pass to more advanc…