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A bigram or digram is a sequence of two adjacent elements from a string of tokens, which are typically letters, syllables, or words. A bigram is an n-gram for n=2. The frequency distribution of every bigram in a string is commonly used for simple statistical analysis of text in many applications, including in computational linguistics, cryptography, speech recognition, and so on.
Gappy bigrams or skipping bigrams are word pairs which allow gaps (perhaps avoiding connecting words, or allowing some simulation of dependencies, as in a dependency grammar).
Head word bigrams are gappy bigrams with an explicit dependency relationship.
Bigrams help provide the conditional probability of a token given the preceding token, when the relation of the conditional probability is applied:
That is, the probability of a token given the preceding token is equal to the probability of their bigram, or the co-occurrence of the two tokens , divided by the probability of the preceding token.
Bigram frequency is one approach to statistical language identification.
Some activities in logology or recreational linguistics involve bigrams. These include attempts to find English words beginning with every possible bigram, or words containing a string of repeated bigrams, such as logogogue.
Bigram frequency in the English languageEdit
The frequency of the most common letter bigrams, rounded to the closest centesimal, in a large English corpus is:
th 3.56% of 1.17% io 0.83% he 3.07% ed 1.17% le 0.83% in 2.43% is 1.13% ve 0.83% er 2.05% it 1.12% co 0.79% an 1.99% al 1.09% me 0.79% re 1.85% ar 1.07% de 0.76% on 1.76% st 1.05% hi 0.76% at 1.49% to 1.05% ri 0.73% en 1.45% nt 1.04% ro 0.73% nd 1.35% ng 0.95% ic 0.70% ti 1.34% se 0.93% ne 0.69% es 1.34% ha 0.93% ea 0.69% or 1.28% as 0.87% ra 0.69% te 1.20% ou 0.87% ce 0.65%
Bigram frequencies for a different corpus is available.
- Collins, Michael John (1996-06-24). "A new statistical parser based on bigram lexical dependencies". Proceedings of the 34th annual meeting on Association for Computational Linguistics -. Association for Computational Linguistics. pp. 184–191. arXiv:cmp-lg/9605012. doi:10.3115/981863.981888. S2CID 12615602. Retrieved 2018-10-09.
- Cohen, Philip M. (1975). "Initial Bigrams". Word Ways. 8 (2). Retrieved 11 September 2016.
- Corbin, Kyle (1989). "Double, Triple, and Quadruple Bigrams". Word Ways. 22 (3). Retrieved 11 September 2016.
- "English Letter Frequency Counts: Mayzner Revisited or ETAOIN SRHLDCU". norvig.com. Retrieved 2019-10-28.
- Jones, Michael N; D J K Mewhort (August 2004). "Case-sensitive letter and bigram frequency counts from large-scale English corpora". Behavior Research Methods, Instruments, and Computers. 36 (3): 388–396. doi:10.3758/bf03195586. ISSN 0743-3808. PMID 15641428.