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2
3Stemming Algorithms
4===================
5
6Xapian uses the `Snowball Stemming
7Algorithms <https://snowballstem.org/>`_. At present, these support
8Armenian, Basque, Catalan, Danish, Dutch, English, Finnish, French, German,
9Hungarian, Italian, Norwegian, Portuguese, Romanian, Russian, Spanish, Swedish,
10and Turkish.
11
12There are also implementations of Lovins' English stemmer, Porter's
13original English stemmer, the Kraaij-Pohlmann Dutch stemmer, and a
14variation of the German stemmer which normalises umlauts.
15
16We'd like to add stemmers for more languages - see the Snowball site for
17information on how to contribute.
18
19What is a stemming algorithm?
20-----------------------------
21
22A stemming algorithm is a process of linguistic normalisation, in which
23the variant forms of a word are reduced to a common form, for example,
24::
25
26        connection
27        connections
28        connective          --->   connect
29        connected
30        connecting
31
32It is important to appreciate that we use stemming with the intention of
33improving the performance of IR systems. It is not an exercise in
34etymology or grammar. In fact from an etymological or grammatical
35viewpoint, a stemming algorithm is liable to make many mistakes. In
36addition, stemming algorithms - at least the ones presented here - are
37applicable to the written, not the spoken, form of the language.
38
39For some of the world's languages, Chinese for example, the concept of
40stemming is not applicable, but it is certainly meaningful for the many
41languages of the Indo-European group. In these languages words tend to
42be constant at the front, and to vary at the end::
43
44                       -ion
45                       -ions
46                connect-ive
47                       -ed
48                       -ing
49
50The variable part is the `ending`, or `suffix`. Taking these endings
51off is called `suffix stripping` or `stemming`, and the residual part
52is called the stem.
53
54Endings
55-------
56
57Another way of looking at endings and suffixes is to think of the suffix
58as being made up of a number of endings. For example, the French word
59::
60
61                confirmatives
62
63can be thought of as `confirm` with a chain of endings,
64::
65
66                -atif (adjectival ending - morphological)
67        plus    -e    (feminine ending - grammatical)
68        plus    -s    (plural ending - grammatical)
69
70-atif can also be thought of as -ate plus -if. Note that the addition of
71endings can cause respellings, so -e changes preceding `f` to `v`.
72
73Endings fall into two classes, grammatical and morphological. The
74addition of -s in English to make a plural is an example of a
75grammatical ending. The word remains of the same type. There is usually
76only one dictionary entry for a word with all its various grammatical
77endings. Morphological endings create new types of word. In English -ise
78or -ize makes verbs from nouns (`demon`, `demonise`), -ly makes
79adverbs from adjectives (`foolish`, `foolishly`), and so on. Usually
80there are separate dictionary endings for these creations.
81
82Language knowledge
83------------------
84
85It is much easier to write a stemming algorithm for a language when you
86are familiar with it. If you are not, you will probably need to work
87with someone who is, and who can also explain details of grammar to you.
88Best is a professional teacher or translator. You certainly don't need
89to have a world authority on the grammar of the language. In fact too
90much expertise can get in the way when it comes to the very practical
91matter of writing the stemming algorithm.
92
93Vocabularies
94------------
95
96Each stemmer is issued with a vocabulary in data/voc.txt, and its
97stemmed form in data/voc.st. You can use these for testing and
98evaluation purposes.
99
100Raw materials
101-------------
102
103A conventional grammar of a language will list all the grammatical
104endings, and will often summarise most of the morphological endings. A
105grammar, plus a dictionary, are therefore basic references in the
106development of a stemming algorithm, although you can dispense with them
107if you have an excellent knowledge of the language. What you cannot
108dispense with is a vocabulary to try the algorithm out on as it is being
109developed. Assemble about 2 megabytes of text. A mix of sources is best,
110and literary prose (conventional novels) usually gives an ideal mix of
111tenses, cases, persons, genders etc. Obviously the texts should be in
112some sense 'contemporary', but it is an error to exclude anything
113slightly old. The algorithm itself may well get applied to older texts
114once it has been written. For English, the works of Shakespeare in the
115customary modern spelling make a good test vocabulary.
116
117From the source text derive a control vocabulary of words in sorted
118order. Sample vocabularies in this style are part of our Open Source
119release. If you make a small change to the stemming algorithm you should
120have a procedure that presents the change as a three column table:
121column one is the control vocabulary, column 2 the stemmed equivalent,
122and column 3 the stemmed equivalent after the change has been made to
123the algorithm. The effects of the change can be evaluated by looking at
124the differences between columns two and three.
125
126The first job is to come up with a list of endings. This can be done by
127referring to the grammar, the dictionary, and also by browsing through
128the control vocabulary.
129
130Rules for removing endings
131--------------------------
132
133If a word has an ending, E, when should E be removed? Various criteria
134come into play here. One is the knowledge we have about the word from
135other endings that might have been removed. If a word ends with a
136grammatical verb ending, and that has been removed, then we have a verb
137form, and the only further endings to consider are morphological endings
138that create verbs from other word types. At this level the system of
139endings gives rise to a small state table, which can be followed in
140devising the algorithm. In Latin derived languages, there is a state
141table of morphological endings that roughly looks like this::
142
143       -IC (adj) -+->  -ATION (noun)
144                  +->  -ITY (noun)
145                  +->  -MENT (adv)
146                  \->  -AT (verb)     -+->   -IV (adj)    -+->   -ITY (noun)
147                                       |                   \->   -MENT (adv)
148                                       \->   -OR (noun)
149
150     -ABLE (adj) -+->  -ITY (noun)
151                  \->  -MENT (adv)
152
153      -OUS (adj) --->  -MENT (adv)
154
155The ending forms take different values in different languages. In
156French, -OR becomes `-eur` (m.) or `-rice` (f.), -AT disappears into
157the infinitive form of a verb. In English, -MENT becomes `-ly`, and
158then one can recognise,
159::
160
161       -IC-ATION   fortification
162       -IC-ITY     electricity
163       -IC-MENT    fantastically
164       -AT-IV      contemplative
165       -AT-OR      conspirator
166       -IV-ITY     relativity
167       -IV-MENT    instinctively
168       -ABLE-ITY   incapability
169       -ABLE-MENT  charitably
170       -OUS-MENT   famously
171
172Trios, -IC-AT-IV etc., also occur, but sequences of length four,
173-IC-AT-IV-ITY and -IC-AT-IV-MENT, are absent (or occur very rarely).
174
175Sometimes the validity of an ending depends on the immediately preceding
176group of letters. In Italian, for example, certain pronouns and pronoun
177groups attach to present participle and infinitive forms of verbs, for
178example,
179::
180
181    scrivendole = scrivendo (writing) + le (to her)
182    mandarglielo = mandare (to give) + glielo (it to him)
183
184If E is the ending, the possible forms are -andoE, -endoE, -arE, -erE,
185-irE, so E is removed in the context -Xndo or Yr, where X is a or e, and
186Y is a or e or i. See the ``attached_pronoun`` procedure in the Italian
187stemmer.
188
189The most useful criterion for removing an ending, however, is to base
190the decision on the syllable length of the stem that will remain. This
191idea was first used in the English stemming algorithm, and has been
192found to be applicable in the other stemming algorithms too. If C stands
193for a sequence of consonants, and V for a sequence of vowels, any word
194can be analysed as,
195::
196
197            [C] V C ... V C [V]
198
199where [..] indicates arbitrary presence, and V C ... V C means V C
200repeated zero or more times. We can find successive positions 0, 1, 2
201... in a word corresponding to each vowel-consonant stretch V C,
202::
203
204            t h u n d e r s t r i c k e n
205               0     1         2     3   4
206
207The closer E is to the beginning of the word, the more unwilling we
208should be remove it. So we might have a rule to remove E if at is after
209position 2, and so on.
210
211Developing the algorithm
212------------------------
213
214Build the algorithm up bit by bit, trying out a small number of ending
215removals at a time. For each new ending plus rule added, decide whether,
216on average, the stemming process is improved or degraded. If it is
217degraded the rule is unhelpful and can be discarded.
218
219This sounds like common sense, but it is actually very easy to fall into
220the trap of endlessly elaborating the rules without looking at their
221true effect. What you find eventually is that you can be improving
222performance in one area of the vocabulary, while causing a similar
223degradation of performance in another area. When this happens
224consistently it is time to call a halt to development and to regard the
225stemming algorithm as finished.
226
227It is important to realise that the stemming process cannot be made
228perfect. For example, in French, the simple verb endings -ons and -ent
229of the present tense occur repeatedly in other contexts. -ons is the
230plural form of all nouns ending -on, and -ent is also a common noun
231ending. On balance it is best not to remove these endings. In practice
232this affects -ent verb endings more than -ons verb endings, since -ent
233endings are commoner. The result is that verbs stem not to a single
234form, but to a much smaller number of forms (three), among which the
235form given by the true stem of the verb is by far the commonest.
236
237If we define errors A and B by,
238
239- error A: removing an ending when it is not an ending
240- error B: not removing an ending when it is an ending
241
242Then removing -ent leads to error A; not removing -ent leads to error B.
243We must adopt the rule that minimises the number of errors - not the
244rule that appears to be the most elegant.
245
246Irregular forms
247---------------
248
249Linguistic irregularities slip through the net of a stemming algorithm.
250The English stemmer stems `cows` to `cow`, but does not stem `oxen`
251to `ox`. In reality this matters much less than one might suppose. In
252English, the irregular plurals tend to be of things that were common in
253Anglo-Saxon England: oxen, sheep, mice, dice - and lice. Men, women and
254children are of course common today, but the very commonness of these
255words makes them of less importance in IR systems. Similar remarks may
256be said about irregular verbs in English, the total number of which is
257around 150. Here, the fact that verbs are used perhaps rather less than
258nouns and adjectives in IR queries helps account for the unimportance of
259verb irregularities in IR performance. There are in English more
260significant irregularities in morphological changes such as `receive`
261to `reception`, `decide` to `decision` etc., which correspond,
262ultimately, to irregularities in the Latin verbs from which these words
263derive. But again working IR systems are rarely upset by lack of
264resolution of these forms.
265
266An irregularity of English which does cause a problem is the word
267`news`. It is now a singular noun, and is never regarded as the plural
268of `new`. This, and a few more howlers, are placed in a table,
269``irregular_forms``, in the English stemming algorithm. Similar tables
270are provided in the other stemming algorithms, with some provisional
271entries. The non-English stemming algorithms have not been used enough
272for a significant list of irregular forms to emerge, but as they do,
273they can be placed in the ``irregular_forms`` table.
274
275Using stemming in IR
276--------------------
277
278In earlier implementations of IR systems, the words of a text were
279usually stemmed as part of the indexing process, and the stemmed forms
280only held in the main IR index. The words of each incoming query would
281then be stemmed similarly. When the index terms were seen by the user,
282for example during query expansion, they would be seen in their stemmed
283form. It was important therefore that the stemmed form of a word should
284not be too unfamiliar in appearance. A user will be comfortable with
285seeing `apprehend`, which stands for `apprehending`, `apprehended` as
286well as `apprehend`. More problematical is `apprehens`, standing for
287`apprehension`, `apprehensive` etc., but even so, a trained user would
288not have a problem with this. In fact all the Xapian stemming algorithms
289are built on the assumption that it leave stemmed forms which it would
290not be embarrassing to show to real users, and we suggest that new
291stemming algorithms are designed with this criterion in mind.
292
293A superior approach is to keep each word, *W*, and its stemmed form,
294*s(W)*, as a two-way relation in the IR system. *W* is held in the index
295with its own posting list. *s(W)* could have its separate posting list,
296but this would be derivable from the class of words that stem to *s(W)*.
297The important thing is to have the *W* |<->| *s(W)* relation. From *W* we
298can derive *s(W)*, the stemmed form. From a stemmed form *s(W)* we can
299derive *W* plus the other words in the IR system which stem to *s(W)*.
300Any word can then be searched on either stemmed or unstemmed. If the
301stemmed form of a word needs to be shown to the user, it can be
302represented by the commonest among the words which stem to that form.
303
304Stopwords
305---------
306
307It has been traditional in setting up IR systems to discard the very
308commonest words of a language - the stopwords - during indexing. A more
309modern approach is to index everything, which greatly assists searching
310for phrases for example. Stopwords can then still be eliminated from the
311query as an optional style of retrieval. In either case, a list of
312stopwords for a language is useful.
313
314Getting a list of stopwords can be done by sorting a vocabulary of a
315text corpus for a language by frequency, and going down the list picking
316off words to be discarded.
317
318The stopword list connects in various ways with the stemming algorithm:
319
320The stemming algorithm can itself be used to detect and remove
321stopwords. One would add into the ``irregular_forms`` table something
322like this,
323::
324
325       "", /* null string */
326
327       "am/is/are/be/being/been/"    /* BE */
328       "have/has/having/had/"        /* HAD */
329       "do/does/doing/did/"          /* DID */
330       ...                           /* multi-line string */
331
332so that the words `am`, `is` etc. map to the null string (or some
333other easily recognised value).
334
335Alternatively, stopwords could be removed before the stemming algorithm
336is applied, or after the stemming algorithm is applied. In this latter
337case, the words to be removed must themselves have gone through the
338stemmer, and the number of distinct forms will be greatly reduced as a
339result. In Italian for example, the four forms
340::
341
342        questa     queste    questi    questo
343
344(meaning `that`) all stem to
345::
346
347        quest
348
349.. FIXME: Nice idea, but currently these lists are fictitious:
350    In the xapian-data directory in the git repository, each language
351    represented in the stemming section has, in addition to a large test
352    vocabulary, a useful stopword list in both source and stemmed form. The
353    source form, in the file ``stopsource``, is carefully annotated, and the
354    derived file, ``stopwords``, contains an equivalent list of sorted,
355    stemmed, stopwords.
356