20 citations · 84 across the 22 of their papers we have counts for
23 papers
Berezinian expansion and super exterior powers
Maheshan Ekanayaka, Ekaterina Shemyakova
In supergeometry, the classical identification of top-degree differential forms with volume forms suitable for integration breaks down. To address this issue, several generalized n…
A quantum anchor for higher Koszul brackets
Ekaterina Shemyakova, Yagmur Yilmaz
It is well known that the chain map between the de Rham and Poisson complexes on a Poisson manifold also maps the Koszul bracket of differential forms into the Schouten bracket of…
The weighted projective superspace with weights and an analog of the Fubini--Study form
Ekaterina Shemyakova, Theodore Voronov
As a by-product of our work on super Plücker embedding, we came to the notion of a weighted projective superspace with weights . The construction is n…
On super cluster algebras based on super Plücker and super Ptolemy relations
Ekaterina Shemyakova
We study super cluster algebra structure arising in examples provided by super Plücker and super Ptolemy relations. We develop the super cluster structure of the super Grassmannian…
Growing an architecture for a neural network
Sergey Khashin, Ekaterina Shemyakova
We propose a new kind of automatic architecture search algorithm. The algorithm alternates pruning connections and adding neurons, and it is not restricted to layered architectures…
On a Batalin--Vilkovisky operator generating higher Koszul brackets on differential forms
Ekaterina Shemyakova
We introduce a formal -differential operator that generates higher Koszul brackets on the algebra of (pseudo)differential forms on a -manifold. Such an opera…