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Information Retrieval and Data Mining (AT71. 07) Comp. Sc. and Inf

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1 Information Retrieval and Data Mining (AT71. 07) Comp. Sc. and Inf
Information Retrieval and Data Mining (AT71.07) Comp. Sc. and Inf. Mgmt. Asian Institute of Technology Instructor: Dr. Sumanta Guha Slide Sources: Introduction to Information Retrieval book slides from Stanford University, adapted and supplemented Chapter 2: The term vocabulary and postings lists

2 CS276: Information Retrieval and Web Search
Christopher Manning and Prabhakar Raghavan Lecture 2: The term vocabulary and postings lists

3 Recap of the previous lecture
Ch. 1 Recap of the previous lecture Basic inverted indexes: Structure: Dictionary and Postings Key step in construction: Sorting Boolean query processing Intersection by linear time “merging” Simple optimizations Overview of course topics

4 Plan for this lecture Elaborate basic indexing
Preprocessing to form the term vocabulary Documents Tokenization What terms do we put in the index? Postings Faster merges: skip lists Positional postings and phrase queries

5 Recall the basic indexing pipeline
Documents to be indexed. Friends, Romans, countrymen. Tokenizer Token stream. Friends Romans Countrymen Linguistic modules Modified tokens. friend roman countryman = terms Indexer Inverted index. friend roman countryman 2 4 13 16 1

6 Parsing a document What format is it in? What language is it in?
Sec. 2.1 Parsing a document What format is it in? pdf/word/excel/html? What language is it in? What character set is in use? Each of these is a classification problem, which we will study later in the course. But these tasks are often done heuristically …

7 Complications: Format/language
Sec. 2.1 Complications: Format/language Documents being indexed can include docs from many different languages A single index may have to contain terms of several languages. Sometimes a document or its components can contain multiple languages/formats French with a German pdf attachment. What is a unit document? A file? An ? (Perhaps one of many in an mbox.) An with 5 attachments? A group of files (PPT or LaTeX as HTML pages) Nontrivial issues. Requires some design decisions.

8 Tokens and Terms

9 Definitions Word – A delimited string of characters as it appears in the text. Term – A “normalized” word (case, morphology, spelling etc); an equivalence class of words. Token – An instance of a word or term occurring in a document. Type – The same as a term in most cases: an equivalence class of tokens.

10 Tokenization Input: “Friends, Romans and Countrymen” Output: Tokens
Sec Tokenization Input: “Friends, Romans and Countrymen” Output: Tokens Friends Romans and Countrymen A token is an instance of a sequence of characters Each such token is now a candidate for an index entry, after further processing Described below But what are valid tokens to emit?

11 Tokenization Issues in tokenization: Finland’s capital 
Sec Tokenization Issues in tokenization: Finland’s capital  Finland? Finlands? Finland’s? Hewlett-Packard  Hewlett and Packard as two tokens? state-of-the-art: break up hyphenated sequence. co-education lowercase, lower-case, lower case ? It can be effective to get the user to put in possible hyphens San Francisco: one token or two? How do you decide it is one token?

12 Sec Numbers 3/20/91 Mar. 12, /3/91 55 B.C. B-52 My PGP key is 324a3df234cb23e (800) Often have embedded spaces Older IR systems may not index numbers But often very useful: think about things like looking up error codes/stacktraces on the web (One answer is using n-grams: Lecture 3) Will often index “meta-data” separately Creation date, format, etc.

13 Tokenization: language issues
Sec Tokenization: language issues French L'ensemble  one token or two? L ? L’ ? Le ? Want l’ensemble to match with un ensemble Until at least 2003, it didn’t on Google Internationalization! German noun compounds are not segmented Lebensversicherungsgesellschaftsangestellter ‘life insurance company employee’ German retrieval systems benefit greatly from a compound splitter module Can give a 15% performance boost for German

14 Tokenization: language issues
Sec Tokenization: language issues Chinese, Japanese and Thai have no spaces between words: 莎拉波娃现在居住在美国东南部的佛罗里达。 Not always guaranteed a unique tokenization Further complicated in Japanese, with multiple alphabets intermingled Dates/amounts in multiple formats フォーチュン500社は情報不足のため時間あた$500K(約6,000万円) Katakana Hiragana Kanji Romaji End-user can express query entirely in hiragana!

15 Tokenization: language issues
Sec Tokenization: language issues Arabic (or Hebrew) is basically written right to left, but with certain items like numbers written left to right Words are separated, but letter forms within a word form complex ligatures ← → ← → ← start ‘Algeria achieved its independence in 1962 after 132 years of French occupation.’ With Unicode, the surface presentation is complex, but the stored form is straightforward

16 Sec Stop words With a stop list, you exclude from the dictionary entirely the commonest words. Intuition: They have little semantic content: the, a, and, to, be There are a lot of them: ~30% of postings for top 30 words But the trend is away from doing this: Good compression techniques (lecture 5) means the space for including stopwords in a system is very small Good query optimization techniques (lecture 7) mean you pay little at query time for including stop words. You need them for: Phrase queries: “King of Denmark” Various song titles, etc.: “Let it be”, “To be or not to be” “Relational” queries: “flights to London” Nevertheless: “Google ignores common words and characters such as where, the, how, and other digits and letters which slow down your search without improving the results.” (Though you can explicitly ask for them to remain.)

17 Normalization to terms
Sec Normalization to terms We need to “normalize” words in indexed text as well as query words into the same form We want to match U.S.A. and USA Result is terms: a term is a (normalized) word type, which is an entry in our IR system dictionary We most commonly implicitly define equivalence classes of terms by, e.g., deleting periods to form a term U.S.A., USA  USA deleting hyphens to form a term anti-discriminatory, antidiscriminatory  antidiscriminatory

18 Normalization: other languages
Sec Normalization: other languages Accents: e.g., French résumé vs. resume. Umlauts: e.g., German: Tuebingen vs. Tübingen Should be equivalent Most important criterion: How are your users like to write their queries for these words? Even in languages that standardly have accents, users often may not type them Often best to normalize to a de-accented term Tuebingen, Tübingen, Tubingen  Tubingen

19 Normalization: other languages
Sec Normalization: other languages Normalization of things like date forms 7月30日 vs. 7/30 Japanese use of kana vs. Chinese characters Tokenization and normalization may depend on the language and so is intertwined with language detection Crucial: Need to “normalize” indexed text as well as query terms into the same form Is this German “mit”? Morgen will ich in MIT …

20 Case folding Reduce all letters to lower case Google example:
Sec Case folding Reduce all letters to lower case exception: upper case in mid-sentence? e.g., General Motors Fed vs. fed SAIL vs. sail Often best to lower case everything, since users will use lowercase regardless of ‘correct’ capitalization… Google example: Query C.A.T. #1 result is for “cat” (well, Lolcats) not Caterpillar Inc.

21 Normalization to terms
Sec Normalization to terms An alternative to equivalence classing is to do asymmetric query expansion An example of where this may be useful Enter: window Search: window, windows Enter: windows Search: Windows, windows, window Enter: Windows Search: Windows Potentially more powerful, but less efficient Why not the reverse?

22 Thesauri and soundex Do we handle synonyms and homonyms?
E.g., by hand-constructed equivalence classes car = automobile color = colour We can rewrite to form equivalence-class terms When the document contains automobile, index it under car-automobile (and vice-versa) Or we can expand a query When the query contains automobile, look under car as well What about spelling mistakes? One approach is soundex, which forms equivalence classes of words based on phonetic heuristics (Muller = Mueller, color = colour) More in lectures 3 and 9

23 Lemmatization Reduce inflectional/variant forms to base form E.g.,
Sec Lemmatization Reduce inflectional/variant forms to base form E.g., am, are, is  be car, cars, car's, cars'  car the boy's cars are different colors  the boy car be different color Lemmatization implies doing “proper” reduction to dictionary headword form

24 Stemming Reduce terms to their “roots” before indexing
Sec Stemming Reduce terms to their “roots” before indexing “Stemming” suggest crude affix chopping language dependent e.g., automate(s), automatic, automation all reduced to automat. for exampl compress and compress ar both accept as equival to compress for example compressed and compression are both accepted as equivalent to compress.

25 Porter’s algorithm Commonest algorithm for stemming English
Sec Porter’s algorithm Commonest algorithm for stemming English Results suggest it’s at least as good as other stemming options Conventions + 5 phases of reductions phases applied sequentially each phase consists of a set of commands sample convention: Of the rules in a compound command, select the one that applies to the longest suffix.

26 Typical rules in Porter
Sec Typical rules in Porter sses  ss ies  i ational  ate tional  tion Weight of word sensitive rules (m>1) EMENT → replacement → replac cement → cement

27 Other stemmers Other stemmers exist, e.g., Lovins stemmer
Sec Other stemmers Other stemmers exist, e.g., Lovins stemmer Single-pass, longest suffix removal (about 250 rules) Full morphological analysis – at most modest benefits for retrieval Do stemming and other normalizations help? English: very mixed results. Helps recall for some queries but harms precision on others E.g., operative (dentistry) ⇒ oper Definitely useful for Spanish, German, Finnish, … 30% performance gains for Finnish!

28 Language-specificity
Sec Language-specificity Many of the above features embody transformations that are Language-specific and Often, application-specific These are “plug-in” addenda to the indexing process Both open source and commercial plug-ins are available for handling these

29 Dictionary entries – first cut
Sec. 2.2 Dictionary entries – first cut ensemble.french 時間.japanese MIT.english mit.german guaranteed.english entries.english sometimes.english tokenization.english These may be grouped by language (or not…). More on this in ranking/query processing.

30 Stemming and Lemmatization
Sec. 1.3 Exercise 2.1: Are the following statements true or false: In a Boolean retrieval system, stemming never lowers precision. In a Boolean retrieval system, stemming never lowers recall. Stemming increases the size of the vocabulary. Stemming should be invoked at index time, but not while processing a query. Exercise 2.2: Suggest what normalized form should be used for these words (including the word itself as a possibility): ‘Cos Shi’ite cont’d Hawai’i O’Rourke

31 Stemming and Lemmatization
Sec. 1.3 Stemming and Lemmatization Exercise 2.3: The following pairs of words are stemmed to the same form by the Porter stemmer. Which pairs, would you argue, should not be conflated? Give your reasoning. abandon/abandonment absorbency/absorbent marketing/markets university/universe volume/volumes

32 Stemming and Lemmatization
Sec. 1.3 Porter’s stemming algorithm, phase 1 rules (select rule which applies to longest suffix) Rule Example SSES → SS caresses → caress IES → I ponies → poni SS → SS caress → caress S → cats → cat Exercise 2.4: For the Porter stemmer rule group shown above: What is the purpose of including an identity rule SS → SS Applying just this rule group, what will the following words be stemmed to? circus canaries boss What rule should be added to correctly stem pony? The stemming for ponies and pony might seem strange. Does it have a deleterious effect on retrieval? Why or why not?

33 Faster postings merges: Skip pointers/Skip lists

34 Sec. 2.3 Recall basic merge Walk through the two postings simultaneously, in time linear in the total number of postings entries 2 4 8 41 48 64 128 Brutus 2 8 1 2 3 8 11 17 21 31 Caesar If the list lengths are m and n, the merge takes O(m+n) operations. Can we do better? Yes (if index isn’t changing too fast).

35 Augment postings with skip pointers (at indexing time)
Sec. 2.3 Augment postings with skip pointers (at indexing time) 41 128 128 2 4 8 41 48 64 11 31 1 2 3 8 11 17 21 31 Why? To skip postings that will not figure in the search results. How? Where do we place skip pointers?

36 Query processing with skip pointers
Sec. 2.3 Query processing with skip pointers 41 128 2 4 8 41 48 64 128 11 31 But the skip successor of 11 on the lower list is 31, so we can skip ahead past the intervening postings. 1 2 3 8 11 17 21 31 Suppose we’ve stepped through the lists until we process 8 on each list. We match it and advance. We then have 41 and 11 on the lower. 11 is smaller.

37 IntersectWithSkips(p1, p2)
1 answer ← <> 2 while p1 ≠ NIL and p2 ≠ NIL 3 do if docID(p1) = docID(p2) 4 then ADD(answer, docID(p1)) 5 p1 ← next(p1) 6 p2 ← next(p2) 7 else if docID(p1) < docID(p2) 8 then if hasSkip(p1) and (docID(skip(p1)) ≤ docID(p2)) then while hasSkip(p1) and (docID(skip(p1)) ≤ docID(p2)) do p1 ← skip(p1) else p1 ← next(p1) 12 else if hasSkip(p2) and (docID(skip(p2)) ≤ docID(p1)) then while hasSkip(p2) and (docID(skip(p2)) ≤ docID(p1)) do p2 ← skip(p2) else p2 ← next(p2) 16 return answer

38 Where do we place skips? Tradeoff:
Sec. 2.3 Where do we place skips? Tradeoff: More skips  shorter skip spans  more likely to skip. But lots of comparisons to skip pointers. Fewer skips  few pointer comparison, but then long skip spans  few successful skips.

39 Sec. 2.3 Placing skips Simple heuristic: for postings of length L, use L evenly-spaced skip pointers. This ignores the distribution of query terms. Easy if the index is relatively static; harder if L keeps changing because of updates. This definitely used to help; with modern hardware it may not (Bahle et al. 2002) unless you’re memory-based The I/O cost of loading a bigger postings list can outweigh the gains from quicker in memory merging!

40 Skips Exercise 2.5: Why are skip pointers not useful for queries of the form x OR y? Exercise 2.6: We have a two-word query. For one term the postings list consists of the 16 entries [4, 6, 10, 12, 14, 16, 18, 20, 22, 32, 47, 81, 120, 122, 157, 180] and for the other it consists of only 1 entry [47] Work out how many comparisons would be done to intersect the two postings lists with the following strategies. a. Using standard postings lists. b. Using postings lists with skip pointers, with the suggested skip length of √P.

41 Skips Exercise 2.7: Consider a postings intersection between this postings list with skip pointers: and the following intermediate result posting list (which hence has no skip pointers): Trace through the postings intersection algorithm. a. How often is a skip pointer followed (i.e., p1 advanced to skip(p1))? b. How many postings comparisons will be made by this algorithm while intersecting the two lists? c. How many comparisons would be made if the postings lists are intersected without the use of skip pointers?

42 Phrase queries and positional indexes

43 Sec. 2.4 Phrase queries Want to be able to answer queries such as “stanford university” – as a phrase Thus the sentence “I went to university at Stanford” is not a match. The sentence “The inventor Stanford Ovshinsky never went to university” is not a match. The concept of phrase queries has proven easily understood by users; one of the few “advanced search” ideas that works Many more queries are implicit phrase queries For this, it no longer suffices to store only <term : docs> entries

44 A first attempt: Biword indexes
Sec A first attempt: Biword indexes Index every consecutive pair of terms in the text as a phrase For example the text “Friends, Romans, Countrymen” would generate the biwords friends romans romans countrymen Each of these biwords is now a dictionary term Two-word phrase query-processing is now immediate.

45 Can have false positives!
Sec Longer phrase queries Longer phrases are processed as we did with wild-cards: stanford university palo alto can be broken into the Boolean query on biwords: stanford university AND university palo AND palo alto Without the docs, we cannot verify that the docs matching the above Boolean query do contain the phrase. Can have false positives!

46 Sec Extended biwords Parse the indexed text and perform part-of-speech-tagging (POST). Bucket the terms into (say) Nouns (N) and articles/prepositions (X). Call any string of terms of the form NX*N an extended biword. Each such extended biword is now made a term in the dictionary. Example: catcher in the rye N X X N Query processing: parse it into N’s and X’s Segment query into enhanced biwords Look up in index: catcher rye

47 Issues for biword indexes
Sec Issues for biword indexes False positives, as noted before Index blowup due to bigger dictionary Infeasible for more than biwords, big even for them Biword indexes are not the standard solution (for all biwords) but can be part of a compound strategy

48 Solution 2: Positional indexes
Sec Solution 2: Positional indexes In the postings, store, for each term the position(s) in which tokens of it appear: <term, number of docs containing term; doc1: frequency of the term; position1, position2 … ; doc2: frequency of the term; position1, position2 … ; etc.>

49 Positional index example
Sec Positional index example <be: ; 1: 6; 7, 18, 33, 72, 86, 231; 2: 2; 3, 149; 4: 5; 17, 191, 291, 430, 434; 5: 11; 363, 367, …> Which of docs 1,2,4,5 could contain “to be or not to be”? For phrase queries, we use a merge algorithm recursively at the document level But we now need to deal with more than just equality

50 Processing a phrase query
Sec Processing a phrase query Extract inverted index entries for each distinct term: to, be, or, not. Merge their doc:position lists to enumerate all positions with “to be or not to be”. to: 2: 5; 1,17,74,222,551; 4: 5; 8,16,190,429,433; 7: 3; 13,23,191; ... be: 1: 2;17,19; 4: 5;17,191,291,430,434; 5: 3; 14,19,101; ... Same general method for proximity searches

51 Proximity queries LIMIT! /3 STATUTE /3 FEDERAL /2 TORT
Sec Proximity queries LIMIT! /3 STATUTE /3 FEDERAL /2 TORT Again, here, /k means “within k words of”. Clearly, positional indexes can be used for such queries; biword indexes cannot. Exercise: Adapt the linear merge of postings to handle proximity queries. Can you make it work for any value of k? This is a little tricky to do correctly and efficiently See Figure 2.12 of IIR There’s likely to be a problem on it!

52 PositionalIntersect(p1, p2, k)
1 answer ← <> 2 while p1 ≠ nil and p2 ≠ nil 3 do if docID(p1) = docID(p2) 4 then l ← <> 5 pp1 ← positions(p1) 6 pp2 ← positions(p2) 7 while pp1 ≠ nil 8 do while pp2 ≠ nil 9 do if |pos(pp1) – pos(pp2)| ≤ k then ADD(l , pos(pp2)) 11 else if pos(pp2) > pos(pp1) then break pp2 ←next(pp2) 14 while l ≠ <> and |l[0] – pos(pp1)| > k 15 do DELETE(l[0]) 16 for each ps ∈ l 17 do ADD(answer, <docID(p1), pos(pp1), ps>) 18 pp1 ← next(pp1) 19 p1 ← next(p1) 20 p2 ← next(p2) 21 else if docID(p1) < docID(p2) 22 then p1 ← next(p1) else p2 ← next(p2) 24 return answer l is a moving window of positions of the second word in the current doc which are within k of the current position of the first word. For each successive position of the first word: moves the “head” of the window l up till at most k away from the new position of the first word; deletes “tail” of the window till within k of the first word.

53 Sec Positional index size You can compress position values/offsets: we’ll talk about that in lecture 5 Nevertheless, a positional index expands postings storage substantially Nevertheless, a positional index is now standardly used because of the power and usefulness of phrase and proximity queries … whether used explicitly or implicitly in a ranking retrieval system.

54 Sec Positional index size Need an entry for each occurrence, not just once per document Index size depends on average document size Average web page has <1000 terms SEC filings, books, even some epic poems … easily 100,000 terms Consider a term with frequency 0.1% Why? 100 1 100,000 1000 Positional postings Postings Document size

55 Sec Rules of thumb A positional index is 2–4 as large as a non-positional index Positional index size 35–50% of volume of original text Caveat: all of this holds for “English-like” languages

56 Combination schemes These two approaches can be profitably combined
Sec Combination schemes These two approaches can be profitably combined For particular phrases (“Michael Jackson”, “Britney Spears”) it is inefficient to keep on merging positional postings lists Even more so for phrases like “The Who” Williams et al. (2004) evaluate a more sophisticated mixed indexing scheme A typical web query mixture was executed in ¼ of the time of using just a positional index It required 26% more space than having a positional index alone

57 Positional Postings and Phrase Queries
Exercise 2.8: Assume a biword index. Give an example of a document that will be returned for a query of New York University but is actually a false positive.

58 Positional Postings and Phrase Queries
Exercise 2.9: Shown below is a portion of a positional index: angels: 2: <36, 174, 252, 651>; 4: <12, 22, 102, 432>; 7: <17>; fools: 2: <1, 17, 74, 222>; 4: <8, 78, 108, 458>; 7: <3, 13, 23, 193>; fear: 2: <87, 704, 722, 901>; 4: <13, 43, 113, 433>; 7: <18, 328, 528>; in: 2: <3, 37, 76, 444, 851>; 4: <10, 20, 110, 470, 500>; 7: <5, 15, 25, 195>; rush: 2: <2, 66, 194, 321, 702>; 4: <9, 69, 149, 429, 569>; 7: <4, 14, 404>; to: 2: <47, 86, 234, 999>; 4: <14, 24, 774, 944>; 7: <199, 319, 599, 709>; tread: 2: <57, 94, 333>; 4: <15, 35, 155>; 7: <20, 320>; where: 2: <67, 124, 393, 1001>; 4: <11, 41, 101, 421, 431>; 7: <16, 36, 736>; Which docs if any match each of the following queries where expressions within quotes are phrase queries? “fools rush in” “fools rush in” AND “angels fear to tread”

59 Positional Postings and Phrase Queries
Exercise 2.10: Consider the following fragment of a positional index: Gates : 1: <3>; 2: <6>; 3: <2, 17>; 4: <1>; IBM : 4: <3>; 7: <14>; Microsoft : 1: <1>; 2: <1, 21>; 3: <3>; 5: <16, 22, 51>; a. Describe the set of documents that satisfy the query Gates /2 Microsoft. b. Describe each set of values for k for which the query Gates /k Microsoft returns a different set of documents as the answer.

60 Resources for today’s lecture
IIR 2 MG 3.6, 4.3; MIR 7.2 Porter’s stemmer: Skip Lists theory: Pugh (1990) Multilevel skip lists give same O(log n) efficiency as trees H.E. Williams, J. Zobel, and D. Bahle “Fast Phrase Querying with Combined Indexes”, ACM Transactions on Information Systems. D. Bahle, H. Williams, and J. Zobel. Efficient phrase querying with an auxiliary index. SIGIR 2002, pp

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