742 citations
- Institut national de recherche en sciences et technologies du numériqueFR153 papers
- École PolytechniqueFR96 papers
- Centre National de la Recherche ScientifiqueFR62 papers
- Université Paris-SaclayFR50 papers
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- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR20 papers
- Laboratoire de Mathématiques d'OrsayFR16 papers
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28 papers · 1 filter
Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
Andrew J. Blumberg, Mathieu Carrière, Jun Hou Fung +1
We introduce a new algorithm for finding robust circular coordinates on data that is expected to exhibit recurrence, such as that which appears in neuronal recordings of C. elegans…
Shoving tubes through shapes gives a sufficient and efficient shape statistic
Adam Onus, Nina Otter, Renata Turkes
The Persistent Homology Transform (PHT) was introduced in the field of Topological Data Analysis about 10 years ago, and has since been proven to be a very powerful descriptor of E…
Time-optimal persistent homology representatives for univariate time series
Antonio Leitao, Nina Otter
Persistent homology (PH) is one of the main methods used in Topological Data Analysis. An active area of research in the field is the study of appropriate notions of PH representat…
A free lunch: manifolds of positive reach can be smoothed without decreasing the reach
Hana Dal Poz Kouřimská, André Lieutier, Mathijs Wintraecken
Assumptions on the reach are crucial for ensuring the correctness of many geometric and topological algorithms, including triangulation, manifold reconstruction and learning, homot…
Quasi-optimal interpolation of gradients and vector-fields on protected Delaunay meshes in
David M. Williams, Mathijs Wintraecken
There are very few mathematical results governing the interpolation of functions or their gradients on Delaunay meshes in more than two dimensions. Unfortunately, the standard tech…
A Geometric Approach for Multivariate Jumps Detection
Hugo Henneuse
Our study addresses the inference of jumps (i.e. sets of discontinuities) within multivariate signals from noisy observations in the non-parametric regression setting. Departing fr…