Kullback–Leibler divergence

Kullback–Leibler divergence - measurement of how one probability distribution is different from a second, reference probability distribution. Article “Kullback–Leibler divergence” in English Wikipedia has 65.1 points for quality (as of July 1, 2025). The article contains 61 references and 40 sections.

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 “Kullback–Leibler divergence” was edited by 5 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article “Kullback–Leibler divergence”, its content was written by 261 registered users of English Wikipedia and edited by 517 registered Wikipedia users in all languages.

The article is cited 267 times in English Wikipedia and cited 766 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #13736 in May 2022
• Global: #36073 in April 2019

The highest popularity rank from 2008:

• Local (English): #14133 in August 2023
• Global: #26829 in August 2023

There are 20 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.

#	Language	Quality grade	Quality score
1	English (en) Kullback–Leibler divergence		65.0587
2	Ukrainian (uk) Розходження Кульбака — Лейблера		52.1598
3	Hebrew (he) דיברגנץ קולבק-לייבלר		36.3466
4	Polish (pl) Dywergencja Kullbacka-Leiblera		33.2459
5	Russian (ru) Расстояние Кульбака — Лейблера		30.284
6	Persian (fa) واگرایی کولبک-لیبلر		25.5849
7	Catalan (ca) Divergència Kullback-Leibler		21.7889
8	Arabic (ar) تباعد كولباك وليبلير		21.7869
9	French (fr) Divergence de Kullback-Leibler		20.6951
10	Greek (el) Απόκλιση Kullback–Leibler		17.8437

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

The most popular language versions of the article "Kullback–Leibler divergence" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Kullback–Leibler divergence		6 001 822
2	Japanese (ja) カルバック・ライブラー情報量		411 473
3	Chinese (zh) 相对熵		394 082
4	German (de) Kullback-Leibler-Divergenz		274 318
5	French (fr) Divergence de Kullback-Leibler		184 764
6	Russian (ru) Расстояние Кульбака — Лейблера		172 634
7	Korean (ko) 쿨백-라이블러 발산		87 176
8	Spanish (es) Divergencia de Kullback-Leibler		83 575
9	Italian (it) Divergenza di Kullback-Leibler		49 655
10	Polish (pl) Dywergencja Kullbacka-Leiblera		32 307

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

The most popular language versions of the article "Kullback–Leibler divergence" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Kullback–Leibler divergence		39 008
2	Japanese (ja) カルバック・ライブラー情報量		2 239
3	Chinese (zh) 相对熵		1 894
4	German (de) Kullback-Leibler-Divergenz		1 202
5	French (fr) Divergence de Kullback-Leibler		1 072
6	Russian (ru) Расстояние Кульбака — Лейблера		994
7	Spanish (es) Divergencia de Kullback-Leibler		521
8	Italian (it) Divergenza di Kullback-Leibler		322
9	Korean (ko) 쿨백-라이블러 발산		290
10	Polish (pl) Dywergencja Kullbacka-Leiblera		180

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

Language versions of the article "Kullback–Leibler divergence" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Kullback–Leibler divergence		261
2	German (de) Kullback-Leibler-Divergenz		44
3	French (fr) Divergence de Kullback-Leibler		44
4	Russian (ru) Расстояние Кульбака — Лейблера		32
5	Chinese (zh) 相对熵		22
6	Spanish (es) Divergencia de Kullback-Leibler		17
7	Japanese (ja) カルバック・ライブラー情報量		15
8	Polish (pl) Dywergencja Kullbacka-Leiblera		15
9	Ukrainian (uk) Розходження Кульбака — Лейблера		13
10	Portuguese (pt) Divergência de Kullback-leibler		12

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

Language versions of the article "Kullback–Leibler divergence" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Kullback–Leibler divergence		5
2	Chinese (zh) 相对熵		1
3	Arabic (ar) تباعد كولباك وليبلير		0
4	Catalan (ca) Divergència Kullback-Leibler		0
5	Czech (cs) Kullbackova–Leiblerova divergence		0
6	German (de) Kullback-Leibler-Divergenz		0
7	Greek (el) Απόκλιση Kullback–Leibler		0
8	Spanish (es) Divergencia de Kullback-Leibler		0
9	Persian (fa) واگرایی کولبک-لیبلر		0
10	French (fr) Divergence de Kullback-Leibler		0

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

Language versions of the article "Kullback–Leibler divergence" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Kullback–Leibler divergence		267
2	Japanese (ja) カルバック・ライブラー情報量		119
3	Ukrainian (uk) Розходження Кульбака — Лейблера		67
4	Russian (ru) Расстояние Кульбака — Лейблера		45
5	French (fr) Divergence de Kullback-Leibler		43
6	German (de) Kullback-Leibler-Divergenz		36
7	Spanish (es) Divergencia de Kullback-Leibler		28
8	Catalan (ca) Divergència Kullback-Leibler		23
9	Chinese (zh) 相对熵		22
10	Arabic (ar) تباعد كولباك وليبلير		21

More...

#	Language	Value
ar	Arabic تباعد كولباك وليبلير
ca	Catalan Divergència Kullback-Leibler
cs	Czech Kullbackova–Leiblerova divergence
de	German Kullback-Leibler-Divergenz
el	Greek Απόκλιση Kullback–Leibler
en	English Kullback–Leibler divergence
es	Spanish Divergencia de Kullback-Leibler
fa	Persian واگرایی کولبک-لیبلر
fr	French Divergence de Kullback-Leibler
he	Hebrew דיברגנץ קולבק-לייבלר
it	Italian Divergenza di Kullback-Leibler
ja	Japanese カルバック・ライブラー情報量
ko	Korean 쿨백-라이블러 발산
pl	Polish Dywergencja Kullbacka-Leiblera
pt	Portuguese Divergência de Kullback-leibler
ru	Russian Расстояние Кульбака — Лейблера
th	Thai ไดเวอร์เจนซ์คัลแบ็ก–ไลบ์เลอร์
uk	Ukrainian Розходження Кульбака — Лейблера
vi	Vietnamese Phân kỳ Kullback–Leibler
zh	Chinese 相对熵

Best Rank

English: #14133 08.2023

Global: #26829 08.2023

Best Rank

English: #13736 05.2022

Global: #36073 04.2019

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

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