High--Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality

14 January 2020

Papers citing "High--Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality"

17 / 17 papers shown

Title
A Mathematical Framework for the Problem of Security for Cognition in Neurotechnology Bryce Allen Bagley Claudia K Petritsch 93 0 0 28 Jan 2025
Blessing of dimensionality at the edge I. Tyukin Alexander N. Gorban A. McEwan Sepehr Meshkinfamfard Lixin Tang 37 8 0 30 Sep 2019
Symphony of high-dimensional brain Alexander N. Gorban V. Makarov I. Tyukin 23 3 0 27 Jun 2019
Estimating the effective dimension of large biological datasets using Fisher separability analysis L. Albergante Jonathan Bac A. Zinovyev 70 39 0 18 Jan 2019
Correction of AI systems by linear discriminants: Probabilistic foundations A. N. Gorban A. Golubkov Bogdan Grechuk E. M. Mirkes I. Tyukin 25 63 0 11 Nov 2018
Fast Construction of Correcting Ensembles for Legacy Artificial Intelligence Systems: Algorithms and a Case Study I. Tyukin Alexander N. Gorban Stephen Green Danil Prokhorov 34 15 0 12 Oct 2018
The unreasonable effectiveness of small neural ensembles in high-dimensional brain A. N. Gorban V. Makarov I. Tyukin 31 52 0 20 Sep 2018
Blessing of dimensionality: mathematical foundations of the statistical physics of data A. N. Gorban I. Tyukin 62 149 0 10 Jan 2018
Knowledge Transfer Between Artificial Intelligence Systems I. Tyukin A. Gorban Konstantin I. Sofeikov I. Romanenko 30 31 0 05 Sep 2017
Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives A. Cichocki Anh-Huy Phan Qibin Zhao Namgil Lee Ivan Oseledets Masashi Sugiyama Danilo P. Mandic 59 299 0 30 Aug 2017
Stochastic Separation Theorems A. N. Gorban I. Tyukin 53 50 0 03 Mar 2017
Embracing the Blessing of Dimensionality in Factor Models Quefeng Li Guang Cheng Jianqing Fan Yuyan Wang 43 35 0 25 Oct 2016
One-Trial Correction of Legacy AI Systems and Stochastic Separation Theorems Alexander N. Gorban I. Romanenko Richard Burton I. Tyukin 54 29 0 03 Oct 2016
The More, the Merrier: the Blessing of Dimensionality for Learning Large Gaussian Mixtures Joseph Anderson M. Belkin Navin Goyal Luis Rademacher James R. Voss 123 93 0 12 Nov 2013
Is the k-NN classifier in high dimensions affected by the curse of dimensionality? V. Pestov 137 113 0 19 Oct 2011
Principal manifolds and graphs in practice: from molecular biology to dynamical systems A. N. Gorban A. Zinovyev 105 140 0 07 Jan 2010
Observed Universality of Phase Transitions in High-Dimensional Geometry, with Implications for Modern Data Analysis and Signal Processing D. Donoho Jared Tanner 85 464 0 14 Jun 2009