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10 results on '"Maignant, Elodie"'

1. ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results

Author

Miolane, Nina, Caorsi, Matteo, Lupo, Umberto, Guerard, Marius, Guigui, Nicolas, Mathe, Johan, Cabanes, Yann, Reise, Wojciech, Davies, Thomas, Leitão, António, Mohapatra, Somesh, Utpala, Saiteja, Shailja, Shailja, Corso, Gabriele, Liu, Guoxi, Iuricich, Federico, Manolache, Andrei, Nistor, Mihaela, Bejan, Matei, Nicolicioiu, Armand Mihai, Luchian, Bogdan-Alexandru, Stupariu, Mihai-Sorin, Michel, Florent, Duc, Khanh Dao, Abdulrahman, Bilal, Beketov, Maxim, Maignant, Elodie, Liu, Zhiyuan, Černý, Marek, Bauw, Martin, Velasco-Forero, Santiago, Angulo, Jesus, and Long, Yanan

Subjects
Computer Science - Computational Geometry, Mathematics - Differential Geometry, Mathematics - General Topology
Abstract

This paper presents the computational challenge on differential geometry and topology that happened within the ICLR 2021 workshop "Geometric and Topological Representation Learning". The competition asked participants to provide creative contributions to the fields of computational geometry and topology through the open-source repositories Geomstats and Giotto-TDA. The challenge attracted 16 teams in its two month duration. This paper describes the design of the challenge and summarizes its main findings.

Published
2021

2. Parallel Transport on Kendall Shape Spaces

Author

Guigui, Nicolas, Maignant, Elodie, Trouvé, Alain, and Pennec, Xavier

Subjects
Mathematics - Differential Geometry
Abstract

Kendall shape spaces are a widely used framework for the statistical analysis of shape data arising from many domains, often requiring the parallel transport as a tool to normalise time series data or transport gradient in optimisation procedures. We present an implementation of the pole ladder, an algorithm to compute parallel transport based on geodesic parallelograms and compare it to methods by integration of the parallel transport ordinary differential equation.

Published
2021

3. Towards Quotient Barycentric Subspaces

Author

Calissano, Anna, Maignant, Elodie, Pennec, Xavier, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Nielsen, Frank, editor, and Barbaresco, Frédéric, editor

Published
2023
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5. Approximation of Riemannian Distances and Applications to Distance-Based Learning on Manifolds

Author

Harms, Philipp, Maignant, Elodie, and Schlager, Stefan

Subjects
Mathematics - Differential Geometry, 53B20 (Primary), 54C56 (Secondary)
Abstract

Several important algorithms for machine learning and data analysis use pairwise distances as input. On Riemannian manifolds these distances may be prohibitively costly to compute, in particular for large datasets. To tackle this problem, we propose a distance approximation which requires only a linear number of geodesic boundary value problems to be solved. The approximation is constructed by fitting a two-dimensional model space with constant curvature to each pair of samples. We demonstrate the usefulness of our approach in the context of shape analysis on landmarks spaces., Comment: 7 pages, 2 figures

Published
2019

6. Math in the Black Forest: Workshop on New Directions in Shape Analysis

Author

Bauer, Martin, Charon, Nicolas, Harms, Philipp, Khesin, Boris, Brigant, Alice Le, Maignant, Elodie, Marsland, Stephen, Michor, Peter, Pennec, Xavier, Preston, Stephen, Sommer, Stefan, and Vialard, François-Xavier

Subjects
Mathematics - Differential Geometry
Abstract

These are the proceedings of the workshop "Math in the Black Forest", which brought together researchers in shape analysis to discuss promising new directions. Shape analysis is an inter-disciplinary area of research with theoretical foundations in infinite-dimensional Riemannian geometry, geometric statistics, and geometric stochastics, and with applications in medical imaging, evolutionary development, and fluid dynamics. The workshop is the 6th instance of a series of workshops on the same topic., Comment: 27 pages, 4 figures

Published
2018

8. Looking for invariance in Locally Linear Embedding

Author

Maignant, Elodie, Pennec, Xavier, Trouvé, Alain, Université Côte d'Azur (UCA), E-Patient : Images, données & mOdèles pour la médeciNe numériquE (EPIONE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), CB - Centre Borelli - UMR 9010 (CB), Service de Santé des Armées-Institut National de la Santé et de la Recherche Médicale (INSERM)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Ecole Normale Supérieure Paris-Saclay (ENS Paris Saclay)-Université Paris Cité (UPCité), and SMAI-SIGMA

Subjects
Locally linear embedding, [MATH]Mathematics [math]
Abstract

International audience; In this poster, we review the Locally Linear Embedding method and look for new invariance patterns with the hope to explain better the properties of the embeddings constructed.

Published
2022

10. Identification of the Primary Factors Determining theSpecificity of Human VKORC1 Recognition by Thioredoxin-Fold Proteins.

Author

Stolyarchuk M, Ledoux J, Maignant E, Trouvé A, and Tchertanov L

Subjects
Algorithms, Amino Acid Sequence, Binding Sites, Humans, Membrane Glycoproteins chemistry, Membrane Glycoproteins genetics, Membrane Glycoproteins metabolism, Membrane Proteins chemistry, Membrane Proteins genetics, Membrane Proteins metabolism, Molecular Dynamics Simulation, Oxidation-Reduction, Protein Disulfide Reductase (Glutathione) chemistry, Protein Disulfide Reductase (Glutathione) genetics, Protein Disulfide Reductase (Glutathione) metabolism, Protein Disulfide-Isomerases chemistry, Protein Disulfide-Isomerases genetics, Protein Disulfide-Isomerases metabolism, Sequence Homology, Amino Acid, Thioredoxins genetics, Thioredoxins metabolism, Vitamin K Epoxide Reductases genetics, Vitamin K Epoxide Reductases metabolism, Protein Domains, Protein Folding, Thioredoxins chemistry, Vitamin K Epoxide Reductases chemistry
Abstract

Redox (reduction-oxidation) reactions control many important biological processes in all organisms, both prokaryotes and eukaryotes. This reaction is usually accomplished by canonical disulphide-based pathways involving a donor enzyme that reduces the oxidised cysteine residues of a target protein, resulting in the cleavage of its disulphide bonds. Focusing on human vitamin K epoxide reductase (hVKORC1) as a target and on four redoxins (protein disulphide isomerase (PDI), endoplasmic reticulum oxidoreductase (ERp18), thioredoxin-related transmembrane protein 1 (Tmx1) and thioredoxin-related transmembrane protein 4 (Tmx4)) as the most probable reducers of VKORC1, a comparative in-silico analysis that concentrates on the similarity and divergence of redoxins in their sequence, secondary and tertiary structure, dynamics, intraprotein interactions and composition of the surface exposed to the target is provided. Similarly, hVKORC1 is analysed in its native state, where two pairs of cysteine residues are covalently linked, forming two disulphide bridges, as a target for Trx-fold proteins. Such analysis is used to derive the putative recognition/binding sites on each isolated protein, and PDI is suggested as the most probable hVKORC1 partner. By probing the alternative orientation of PDI with respect to hVKORC1, the functionally related noncovalent complex formed by hVKORC1 and PDI was found, which is proposed to be a first precursor to probe thiol-disulphide exchange reactions between PDI and hVKORC1., Competing Interests: The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

Published
2021
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