Principal manifolds and graphs in practice: from molecular biology to
dynamical systems

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Principal manifolds and graphs in practice: from molecular biology to dynamical systems

7 January 2010

A. N. Gorban

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Papers citing "Principal manifolds and graphs in practice: from molecular biology to dynamical systems"

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Title
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning Tyler Chang Andrew Gillette R. Maulik 227 4 0 04 Apr 2024
Scikit-dimension: a Python package for intrinsic dimension estimation Jonathan Bac Evgeny M. Mirkes Alexander N. Gorban I. Tyukin A. Zinovyev 98 84 0 06 Sep 2021
High-dimensional separability for one- and few-shot learning Alexander N. Gorban Bogdan Grechuk Evgeny M. Mirkes Sergey V. Stasenko I. Tyukin DRL 78 23 0 28 Jun 2021
Trajectories, bifurcations and pseudotime in large clinical datasets: applications to myocardial infarction and diabetes data S. E. Golovenkin Jonathan Bac A. Chervov Evgeny M. Mirkes Y. Orlova E. Barillot A. Gorban A. Zinovyev 55 42 0 07 Jul 2020
High--Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality A. Gorban V. A. Makarov Ivan Y. Tyukin 57 38 0 14 Jan 2020
The unreasonable effectiveness of small neural ensembles in high-dimensional brain A. N. Gorban V. Makarov I. Tyukin 51 52 0 20 Sep 2018
Robust And Scalable Learning Of Complex Dataset Topologies Via Elpigraph L. Albergante Evgeny M. Mirkes Huidong Chen Alexis Martin Louis Faure E. Barillot Luca Pinello Alexander N. Gorban A. Zinovyev 46 56 0 20 Apr 2018
Blessing of dimensionality: mathematical foundations of the statistical physics of data A. N. Gorban I. Tyukin 95 150 0 10 Jan 2018
Geometrical complexity of data approximators E. M. Mirkes A. Zinovyev A. N. Gorban 44 8 0 11 Feb 2013