Universal approximation theorem

en

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Universal approximation theorem

Quality:

Universal approximation theorem - theorem that a feed-forward network with a single hidden layer can approximate continuous functions. Article “Universal approximation theorem” in English Wikipedia has 61 points for quality (as of July 1, 2025). The article contains 76 references and 14 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 3.21 points.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Universal approximation theorem” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Universal approximation theorem”, its content was written by 99 registered users of English Wikipedia and edited by 143 registered Wikipedia users in all languages.

The article is cited 30 times in English Wikipedia and cited 64 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #13003 in July 2023
  • Global: #64722 in July 2023

The highest popularity rank from 2008:

  • Local (English): #5371 in October 2016
  • Global: #16144 in October 2016

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Universal approximation theorem
61.0343
2Spanish (es)
Teorema de aproximación universal
48.3319
3Catalan (ca)
Teorema de l'aproximació universal
31.9543
4Chinese (zh)
通用近似定理
29.7409
5French (fr)
Théorème d'approximation universelle
29.3054
6Arabic (ar)
مبرهنة التقريب العام
22.6598
7Serbo-Croatian (sh)
Teorema univerzalne aproksimacije
17.9209
8Portuguese (pt)
Teorema da aproximação universal
15.9289
9Serbian (sr)
Teorema univerzalne aproksimacije
14.601
10Korean (ko)
보편 근사 정리
3.4461
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Universal approximation theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Universal approximation theorem
1 216 139
2Chinese (zh)
通用近似定理
27 821
3French (fr)
Théorème d'approximation universelle
21 017
4Korean (ko)
보편 근사 정리
14 593
5Portuguese (pt)
Teorema da aproximação universal
6 232
6Arabic (ar)
مبرهنة التقريب العام
2 129
7Spanish (es)
Teorema de aproximación universal
1 181
8Serbian (sr)
Teorema univerzalne aproksimacije
206
9Serbo-Croatian (sh)
Teorema univerzalne aproksimacije
149
10Catalan (ca)
Teorema de l'aproximació universal
131
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Universal approximation theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Universal approximation theorem
9 799
2Chinese (zh)
通用近似定理
546
3French (fr)
Théorème d'approximation universelle
394
4Spanish (es)
Teorema de aproximación universal
220
5Portuguese (pt)
Teorema da aproximação universal
142
6Korean (ko)
보편 근사 정리
120
7Serbian (sr)
Teorema univerzalne aproksimacije
40
8Serbo-Croatian (sh)
Teorema univerzalne aproksimacije
28
9Arabic (ar)
مبرهنة التقريب العام
21
10Catalan (ca)
Teorema de l'aproximació universal
19
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Universal approximation theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Universal approximation theorem
99
2French (fr)
Théorème d'approximation universelle
13
3Chinese (zh)
通用近似定理
9
4Spanish (es)
Teorema de aproximación universal
6
5Korean (ko)
보편 근사 정리
6
6Arabic (ar)
مبرهنة التقريب العام
3
7Portuguese (pt)
Teorema da aproximação universal
3
8Serbo-Croatian (sh)
Teorema univerzalne aproksimacije
2
9Catalan (ca)
Teorema de l'aproximació universal
1
10Serbian (sr)
Teorema univerzalne aproksimacije
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Universal approximation theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Universal approximation theorem
1
2Spanish (es)
Teorema de aproximación universal
1
3Arabic (ar)
مبرهنة التقريب العام
0
4Catalan (ca)
Teorema de l'aproximació universal
0
5French (fr)
Théorème d'approximation universelle
0
6Korean (ko)
보편 근사 정리
0
7Portuguese (pt)
Teorema da aproximação universal
0
8Serbo-Croatian (sh)
Teorema univerzalne aproksimacije
0
9Serbian (sr)
Teorema univerzalne aproksimacije
0
10Chinese (zh)
通用近似定理
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Universal approximation theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Universal approximation theorem
30
2Serbian (sr)
Teorema univerzalne aproksimacije
10
3Korean (ko)
보편 근사 정리
5
4French (fr)
Théorème d'approximation universelle
4
5Chinese (zh)
通用近似定理
4
6Arabic (ar)
مبرهنة التقريب العام
3
7Catalan (ca)
Teorema de l'aproximació universal
3
8Portuguese (pt)
Teorema da aproximação universal
2
9Serbo-Croatian (sh)
Teorema univerzalne aproksimacije
2
10Spanish (es)
Teorema de aproximación universal
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة التقريب العام
caCatalan
Teorema de l'aproximació universal
enEnglish
Universal approximation theorem
esSpanish
Teorema de aproximación universal
frFrench
Théorème d'approximation universelle
koKorean
보편 근사 정리
ptPortuguese
Teorema da aproximação universal
shSerbo-Croatian
Teorema univerzalne aproksimacije
srSerbian
Teorema univerzalne aproksimacije
zhChinese
通用近似定理

Popularity rank trends

Best Rank English:
#5371
10.2016
Global:
#16144
10.2016

AI rank trends

Best Rank English:
#13003
07.2023
Global:
#64722
07.2023

Local popularity rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Universal approximation theorem from Wikipedia articles about Activation function, Physics-informed neural networks, Deep learning, Kolmogorov–Arnold representation theorem and Artificial neural network. Whereas reading the article about Universal approximation theorem people most often go to Wikipedia articles on Kolmogorov–Arnold representation theorem, No free lunch theorem, Dense set, George Cybenko and Artificial neural network.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information