output
20132022
most citedPore-geometry recognition: on the importance of quantifying similarity in nanoporous materials

194 citations

Showing 2020Show all

5 papers · 1 filter

math.AG2020

Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers

Charles Arnal

In this article, we describe a recursive method for constructing a family of real projective algebraic hypersurfaces in ambient dimension from families of such hypersurfaces in…

stat.ML2020★ 8 cited

Generalized Penalty for Circular Coordinate Representation

Hengrui Luo, Alice Patania, Jisu Kim +1

Topological Data Analysis (TDA) provides novel approaches that allow us to analyze the geometrical shapes and topological structures of a dataset. As one important application, TDA…

math.AT2020★ 4 cited

Computing persistent Stiefel-Whitney classes of line bundles

Raphaël Tinarrage

We propose a definition of persistent Stiefel-Whitney classes of vector bundle filtrations. It relies on seeing vector bundles as subsets of some Euclidean spaces. The usual Čech f…

cs.LG2020★ 7 cited

PLLay: Efficient Topological Layer based on Persistence Landscapes

Kwangho Kim, Jisu Kim, Manzil Zaheer +3

We propose PLLay, a novel topological layer for general deep learning models based on persistence landscapes, in which we can efficiently exploit the underlying topological feature…

math.ST2020★ 6 cited

Optimal quantization of the mean measure and applications to statistical learning

Frédéric Chazal, Clément Levrard, Martin Royer

This paper addresses the case where data come as point sets, or more generally as discrete measures. Our motivation is twofold: first we intend to approximate with a compactly supp…