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An Informational Space Based Semantic Analysis for Scientific Texts



Neslihan Suzen , Alexander N. Gorban , Jeremy Levesley , Evgeny M. Mirkes

* Computer Science & Information Technology, volume 12, number 08, pp. 81-99, 2022. CS & IT - CSCP 2022 
* 19 pages. arXiv admin note: substantial text overlap with arXiv:2009.08859, arXiv:2004.13717 

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Learning from few examples with nonlinear feature maps



Ivan Y. Tyukin , Oliver Sutton , Alexander N. Gorban


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Quasi-orthogonality and intrinsic dimensions as measures of learning and generalisation



Qinghua Zhou , Alexander N. Gorban , Evgeny M. Mirkes , Jonathan Bac , Andrei Zinovyev , Ivan Y. Tyukin


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Scikit-dimension: a Python package for intrinsic dimension estimation



Jonathan Bac , Evgeny M. Mirkes , Alexander N. Gorban , Ivan Tyukin , Andrei Zinovyev

* 12 pages, 4 figures, 1 table 

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High-dimensional separability for one- and few-shot learning



Alexander N. Gorban , Bogdan Grechuk , Evgeny M. Mirkes , Sergey V. Stasenko , Ivan Y. Tyukin


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The Feasibility and Inevitability of Stealth Attacks



Ivan Y. Tyukin , Desmond J. Higham , Eliyas Woldegeorgis , Alexander N. Gorban


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Demystification of Few-shot and One-shot Learning



Ivan Y. Tyukin , Alexander N. Gorban , Muhammad H. Alkhudaydi , Qinghua Zhou

* IEEE International Joint Conference on Neural Networks, IJCNN 2021 

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General stochastic separation theorems with optimal bounds



Bogdan Grechuk , Alexander N. Gorban , Ivan Y. Tyukin


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Trajectories, bifurcations and pseudotime in large clinical datasets: applications to myocardial infarction and diabetes data



Sergey E. Golovenkin , Jonathan Bac , Alexander Chervov , Evgeny M. Mirkes , Yuliya V. Orlova , Emmanuel Barillot , Alexander N. Gorban , Andrei Zinovyev


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Fractional norms and quasinorms do not help to overcome the curse of dimensionality



Evgeny M. Mirkes , Jeza Allohibi , Alexander N. Gorban


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