Evidence map›Paper›PMID 33285855›Full record

ReviewEntropy (Basel, Switzerland)2020

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

Alexander N Gorban, Valery A Makarov, Ivan Y Tyukin

Abstract readReview
In one paragraph

Review in Entropy (Basel, Switzerland), 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.

0numbers the graph read from it
0cells of the map it votes in
11citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

11 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Article
  5. Review
  6. Article
  7. Article
  8. Linear and Fisher Separability of Random Points in theEntropy (Basel, Switzerland) · 2020
    Article
  9. Article
  10. Article
  11. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Alexander N GorbanDepartment of Mathematics, University of Leicester, Leicester LE1 7RH, UK.ORCID 0000-0001-6224-1430
Valery A MakarovLaboratory of Advanced Methods for High-Dimensional Data Analysis, Lobachevsky University, 603022 Nizhny Novgorod, Russia.ORCID 0000-0001-8789-7532
Ivan Y TyukinDepartment of Mathematics, University of Leicester, Leicester LE1 7RH, UK.ORCID 0000-0002-7359-7966

Funding

Innovate UK KTP009890Innovate UK KTP010522Ministerio de Economía, Industria y Competitividad, Gobierno de España FIS2017-82900-PMinistry of Science and Higher Education of the Russian Federation 14.Y26.31.0022
6 · The paper itself

Abstract

High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the "curse of dimensionality" states: many problems become exponentially difficult in high dimensions. Recently, the other side of the coin, the "blessing of dimensionality", has attracted much attention. It turns out that generic high-dimensional datasets exhibit fairly simple geometric properties. Thus, there is a fundamental tradeoff between complexity and simplicity in high dimensional spaces. Here we present a brief explanatory review of recent ideas, results and hypotheses about the blessing of dimensionality and related simplifying effects relevant to machine learning and neuroscience.

Indexed as

artificial intelligenceconcentration of measuredata miningdiscriminantgeometrymistake correction

Identifiers

PMID33285855
PMCPMC7516518

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.