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package org.apache.lucene.search.similarities;

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 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
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 *     http://www.apache.org/licenses/LICENSE-2.0
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import java.io.IOException;

import org.apache.lucene.index.AtomicReaderContext;
import org.apache.lucene.index.FieldInvertState;
import org.apache.lucene.index.NumericDocValues;
import org.apache.lucene.search.CollectionStatistics;
import org.apache.lucene.search.Explanation;
import org.apache.lucene.search.IndexSearcher;
import org.apache.lucene.search.PhraseQuery;
import org.apache.lucene.search.TermStatistics;
import org.apache.lucene.util.BytesRef;


/**
 * Implementation of {@link Similarity} with the Vector Space Model.
 * 

* Expert: Scoring API. *

TFIDFSimilarity defines the components of Lucene scoring. * Overriding computation of these components is a convenient * way to alter Lucene scoring. * *

Suggested reading: * * Introduction To Information Retrieval, Chapter 6. * *

The following describes how Lucene scoring evolves from * underlying information retrieval models to (efficient) implementation. * We first brief on VSM Score, * then derive from it Lucene's Conceptual Scoring Formula, * from which, finally, evolves Lucene's Practical Scoring Function * (the latter is connected directly with Lucene classes and methods). * *

Lucene combines * * Boolean model (BM) of Information Retrieval * with * * Vector Space Model (VSM) of Information Retrieval - * documents "approved" by BM are scored by VSM. * *

In VSM, documents and queries are represented as * weighted vectors in a multi-dimensional space, * where each distinct index term is a dimension, * and weights are * Tf-idf values. * *

VSM does not require weights to be Tf-idf values, * but Tf-idf values are believed to produce search results of high quality, * and so Lucene is using Tf-idf. * Tf and Idf are described in more detail below, * but for now, for completion, let's just say that * for given term t and document (or query) x, * Tf(t,x) varies with the number of occurrences of term t in x * (when one increases so does the other) and * idf(t) similarly varies with the inverse of the * number of index documents containing term t. * *

VSM score of document d for query q is the * * Cosine Similarity * of the weighted query vectors V(q) and V(d): * *
 
*

* * *
* * *
* * * * * *
* cosine-similarity(q,d)   =   * * * * * *
V(q) · V(d)
–––––––––
|V(q)| |V(d)|
*
*
*
*
VSM Score
*
*
 
* * * Where V(q) · V(d) is the * dot product * of the weighted vectors, * and |V(q)| and |V(d)| are their * Euclidean norms. * *

Note: the above equation can be viewed as the dot product of * the normalized weighted vectors, in the sense that dividing * V(q) by its euclidean norm is normalizing it to a unit vector. * *

Lucene refines VSM score for both search quality and usability: *

    *
  • Normalizing V(d) to the unit vector is known to be problematic in that * it removes all document length information. * For some documents removing this info is probably ok, * e.g. a document made by duplicating a certain paragraph 10 times, * especially if that paragraph is made of distinct terms. * But for a document which contains no duplicated paragraphs, * this might be wrong. * To avoid this problem, a different document length normalization * factor is used, which normalizes to a vector equal to or larger * than the unit vector: doc-len-norm(d). *
  • * *
  • At indexing, users can specify that certain documents are more * important than others, by assigning a document boost. * For this, the score of each document is also multiplied by its boost value * doc-boost(d). *
  • * *
  • Lucene is field based, hence each query term applies to a single * field, document length normalization is by the length of the certain field, * and in addition to document boost there are also document fields boosts. *
  • * *
  • The same field can be added to a document during indexing several times, * and so the boost of that field is the multiplication of the boosts of * the separate additions (or parts) of that field within the document. *
  • * *
  • At search time users can specify boosts to each query, sub-query, and * each query term, hence the contribution of a query term to the score of * a document is multiplied by the boost of that query term query-boost(q). *
  • * *
  • A document may match a multi term query without containing all * the terms of that query (this is correct for some of the queries), * and users can further reward documents matching more query terms * through a coordination factor, which is usually larger when * more terms are matched: coord-factor(q,d). *
  • *
* *

Under the simplifying assumption of a single field in the index, * we get Lucene's Conceptual scoring formula: * *
 
*

* * *
* * *
* * * * * * *
* score(q,d)   =   * coord-factor(q,d) ·   * query-boost(q) ·   * * * * * *
V(q) · V(d)
–––––––––
|V(q)|
*
*   ·   doc-len-norm(d) *   ·   doc-boost(d) *
*
*
*
Lucene Conceptual Scoring Formula
*
*
 
* *

The conceptual formula is a simplification in the sense that (1) terms and documents * are fielded and (2) boosts are usually per query term rather than per query. * *

We now describe how Lucene implements this conceptual scoring formula, and * derive from it Lucene's Practical Scoring Function. * *

For efficient score computation some scoring components * are computed and aggregated in advance: * *

    *
  • Query-boost for the query (actually for each query term) * is known when search starts. *
  • * *
  • Query Euclidean norm |V(q)| can be computed when search starts, * as it is independent of the document being scored. * From search optimization perspective, it is a valid question * why bother to normalize the query at all, because all * scored documents will be multiplied by the same |V(q)|, * and hence documents ranks (their order by score) will not * be affected by this normalization. * There are two good reasons to keep this normalization: *
      *
    • Recall that * * Cosine Similarity can be used find how similar * two documents are. One can use Lucene for e.g. * clustering, and use a document as a query to compute * its similarity to other documents. * In this use case it is important that the score of document d3 * for query d1 is comparable to the score of document d3 * for query d2. In other words, scores of a document for two * distinct queries should be comparable. * There are other applications that may require this. * And this is exactly what normalizing the query vector V(q) * provides: comparability (to a certain extent) of two or more queries. *
    • * *
    • Applying query normalization on the scores helps to keep the * scores around the unit vector, hence preventing loss of score data * because of floating point precision limitations. *
    • *
    *
  • * *
  • Document length norm doc-len-norm(d) and document * boost doc-boost(d) are known at indexing time. * They are computed in advance and their multiplication * is saved as a single value in the index: norm(d). * (In the equations below, norm(t in d) means norm(field(t) in doc d) * where field(t) is the field associated with term t.) *
  • *
* *

Lucene's Practical Scoring Function is derived from the above. * The color codes demonstrate how it relates * to those of the conceptual formula: * *

*

* * *
* * *
* * * * * * * * * * * *
* score(q,d)   =   * coord(q,d)  ·  * queryNorm(q)  ·  * * * * ( * tf(t in d)  ·  * idf(t)2  ·  * t.getBoost() ·  * norm(t,d) * ) *
t in q
*
*
*
Lucene Practical Scoring Function
*
* *

where *

    *
  1. * * tf(t in d) * correlates to the term's frequency, * defined as the number of times term t appears in the currently scored document d. * Documents that have more occurrences of a given term receive a higher score. * Note that tf(t in q) is assumed to be 1 and therefore it does not appear in this equation, * However if a query contains twice the same term, there will be * two term-queries with that same term and hence the computation would still be correct (although * not very efficient). * The default computation for tf(t in d) in * {@link org.apache.lucene.search.similarities.DefaultSimilarity#tf(float) DefaultSimilarity} is: * *
     
    * * * * * *
    * {@link org.apache.lucene.search.similarities.DefaultSimilarity#tf(float) tf(t in d)}   =   * * frequency½ *
    *
     
    *
  2. * *
  3. * * idf(t) stands for Inverse Document Frequency. This value * correlates to the inverse of docFreq * (the number of documents in which the term t appears). * This means rarer terms give higher contribution to the total score. * idf(t) appears for t in both the query and the document, * hence it is squared in the equation. * The default computation for idf(t) in * {@link org.apache.lucene.search.similarities.DefaultSimilarity#idf(long, long) DefaultSimilarity} is: * *
     
    * * * * * * * *
    * {@link org.apache.lucene.search.similarities.DefaultSimilarity#idf(long, long) idf(t)}  =   * * 1 + log ( * * * * * *
    numDocs
    –––––––––
    docFreq+1
    *
    * ) *
    *
     
    *
  4. * *
  5. * * coord(q,d) * is a score factor based on how many of the query terms are found in the specified document. * Typically, a document that contains more of the query's terms will receive a higher score * than another document with fewer query terms. * This is a search time factor computed in * {@link #coord(int, int) coord(q,d)} * by the Similarity in effect at search time. *
     
    *
  6. * *
  7. * * queryNorm(q) * * is a normalizing factor used to make scores between queries comparable. * This factor does not affect document ranking (since all ranked documents are multiplied by the same factor), * but rather just attempts to make scores from different queries (or even different indexes) comparable. * This is a search time factor computed by the Similarity in effect at search time. * * The default computation in * {@link org.apache.lucene.search.similarities.DefaultSimilarity#queryNorm(float) DefaultSimilarity} * produces a Euclidean norm: *
     
    * * * * * *
    * queryNorm(q)   =   * {@link org.apache.lucene.search.similarities.DefaultSimilarity#queryNorm(float) queryNorm(sumOfSquaredWeights)} *   =   * * * * * *
    1
    * –––––––––––––– *
    sumOfSquaredWeights½
    *
    *
     
    * * The sum of squared weights (of the query terms) is * computed by the query {@link org.apache.lucene.search.Weight} object. * For example, a {@link org.apache.lucene.search.BooleanQuery} * computes this value as: * *
     
    * * * * * * * * * * * *
    * {@link org.apache.lucene.search.Weight#getValueForNormalization() sumOfSquaredWeights}   =   * {@link org.apache.lucene.search.Query#getBoost() q.getBoost()} 2 *  ·  * * * * ( * idf(t)  ·  * t.getBoost() * ) 2 *
    t in q
    *
     
    * *
  8. * *
  9. * * t.getBoost() * is a search time boost of term t in the query q as * specified in the query text * (see query syntax), * or as set by application calls to * {@link org.apache.lucene.search.Query#setBoost(float) setBoost()}. * Notice that there is really no direct API for accessing a boost of one term in a multi term query, * but rather multi terms are represented in a query as multi * {@link org.apache.lucene.search.TermQuery TermQuery} objects, * and so the boost of a term in the query is accessible by calling the sub-query * {@link org.apache.lucene.search.Query#getBoost() getBoost()}. *
     
    *
  10. * *
  11. * * norm(t,d) encapsulates a few (indexing time) boost and length factors: * *
      *
    • Field boost - set by calling * {@link org.apache.lucene.document.Field#setBoost(float) field.setBoost()} * before adding the field to a document. *
    • *
    • lengthNorm - computed * when the document is added to the index in accordance with the number of tokens * of this field in the document, so that shorter fields contribute more to the score. * LengthNorm is computed by the Similarity class in effect at indexing. *
    • *
    * The {@link #computeNorm} method is responsible for * combining all of these factors into a single float. * *

    * When a document is added to the index, all the above factors are multiplied. * If the document has multiple fields with the same name, all their boosts are multiplied together: * *
     
    *

    * * * * * * * * * * *
    * norm(t,d)   =   * lengthNorm *  ·  * * * * {@link org.apache.lucene.index.IndexableField#boost() f.boost}() *
    field f in d named as t
    * Note that search time is too late to modify this norm part of scoring, * e.g. by using a different {@link Similarity} for search. *
  12. *
* * @see org.apache.lucene.index.IndexWriterConfig#setSimilarity(Similarity) * @see IndexSearcher#setSimilarity(Similarity) */ public abstract class TFIDFSimilarity extends Similarity { /** * Sole constructor. (For invocation by subclass * constructors, typically implicit.) */ public TFIDFSimilarity() {} /** Computes a score factor based on the fraction of all query terms that a * document contains. This value is multiplied into scores. * *

The presence of a large portion of the query terms indicates a better * match with the query, so implementations of this method usually return * larger values when the ratio between these parameters is large and smaller * values when the ratio between them is small. * * @param overlap the number of query terms matched in the document * @param maxOverlap the total number of terms in the query * @return a score factor based on term overlap with the query */ @Override public abstract float coord(int overlap, int maxOverlap); /** Computes the normalization value for a query given the sum of the squared * weights of each of the query terms. This value is multiplied into the * weight of each query term. While the classic query normalization factor is * computed as 1/sqrt(sumOfSquaredWeights), other implementations might * completely ignore sumOfSquaredWeights (ie return 1). * *

This does not affect ranking, but the default implementation does make scores * from different queries more comparable than they would be by eliminating the * magnitude of the Query vector as a factor in the score. * * @param sumOfSquaredWeights the sum of the squares of query term weights * @return a normalization factor for query weights */ @Override public abstract float queryNorm(float sumOfSquaredWeights); /** Computes a score factor based on a term or phrase's frequency in a * document. This value is multiplied by the {@link #idf(long, long)} * factor for each term in the query and these products are then summed to * form the initial score for a document. * *

Terms and phrases repeated in a document indicate the topic of the * document, so implementations of this method usually return larger values * when freq is large, and smaller values when freq * is small. * * @param freq the frequency of a term within a document * @return a score factor based on a term's within-document frequency */ public abstract float tf(float freq); /** * Computes a score factor for a simple term and returns an explanation * for that score factor. * *

* The default implementation uses: * *

   * idf(docFreq, searcher.maxDoc());
   * 
* * Note that {@link CollectionStatistics#maxDoc()} is used instead of * {@link org.apache.lucene.index.IndexReader#numDocs() IndexReader#numDocs()} because also * {@link TermStatistics#docFreq()} is used, and when the latter * is inaccurate, so is {@link CollectionStatistics#maxDoc()}, and in the same direction. * In addition, {@link CollectionStatistics#maxDoc()} is more efficient to compute * * @param collectionStats collection-level statistics * @param termStats term-level statistics for the term * @return an Explain object that includes both an idf score factor and an explanation for the term. */ public Explanation idfExplain(CollectionStatistics collectionStats, TermStatistics termStats) { final long df = termStats.docFreq(); final long max = collectionStats.maxDoc(); final float idf = idf(df, max); return new Explanation(idf, "idf(docFreq=" + df + ", maxDocs=" + max + ")"); } /** * Computes a score factor for a phrase. * *

* The default implementation sums the idf factor for * each term in the phrase. * * @param collectionStats collection-level statistics * @param termStats term-level statistics for the terms in the phrase * @return an Explain object that includes both an idf * score factor for the phrase and an explanation * for each term. */ public Explanation idfExplain(CollectionStatistics collectionStats, TermStatistics termStats[]) { final long max = collectionStats.maxDoc(); float idf = 0.0f; final Explanation exp = new Explanation(); exp.setDescription("idf(), sum of:"); for (final TermStatistics stat : termStats ) { final long df = stat.docFreq(); final float termIdf = idf(df, max); exp.addDetail(new Explanation(termIdf, "idf(docFreq=" + df + ", maxDocs=" + max + ")")); idf += termIdf; } exp.setValue(idf); return exp; } /** Computes a score factor based on a term's document frequency (the number * of documents which contain the term). This value is multiplied by the * {@link #tf(float)} factor for each term in the query and these products are * then summed to form the initial score for a document. * *

Terms that occur in fewer documents are better indicators of topic, so * implementations of this method usually return larger values for rare terms, * and smaller values for common terms. * * @param docFreq the number of documents which contain the term * @param numDocs the total number of documents in the collection * @return a score factor based on the term's document frequency */ public abstract float idf(long docFreq, long numDocs); /** * Compute an index-time normalization value for this field instance. *

* This value will be stored in a single byte lossy representation by * {@link #encodeNormValue(float)}. * * @param state statistics of the current field (such as length, boost, etc) * @return an index-time normalization value */ public abstract float lengthNorm(FieldInvertState state); @Override public final long computeNorm(FieldInvertState state) { float normValue = lengthNorm(state); return encodeNormValue(normValue); } /** * Decodes a normalization factor stored in an index. * * @see #encodeNormValue(float) */ public abstract float decodeNormValue(long norm); /** Encodes a normalization factor for storage in an index. */ public abstract long encodeNormValue(float f); /** Computes the amount of a sloppy phrase match, based on an edit distance. * This value is summed for each sloppy phrase match in a document to form * the frequency to be used in scoring instead of the exact term count. * *

A phrase match with a small edit distance to a document passage more * closely matches the document, so implementations of this method usually * return larger values when the edit distance is small and smaller values * when it is large. * * @see PhraseQuery#setSlop(int) * @param distance the edit distance of this sloppy phrase match * @return the frequency increment for this match */ public abstract float sloppyFreq(int distance); /** * Calculate a scoring factor based on the data in the payload. Implementations * are responsible for interpreting what is in the payload. Lucene makes no assumptions about * what is in the byte array. * * @param doc The docId currently being scored. * @param start The start position of the payload * @param end The end position of the payload * @param payload The payload byte array to be scored * @return An implementation dependent float to be used as a scoring factor */ public abstract float scorePayload(int doc, int start, int end, BytesRef payload); @Override public final SimWeight computeWeight(float queryBoost, CollectionStatistics collectionStats, TermStatistics... termStats) { final Explanation idf = termStats.length == 1 ? idfExplain(collectionStats, termStats[0]) : idfExplain(collectionStats, termStats); return new IDFStats(collectionStats.field(), idf, queryBoost); } @Override public final SimScorer simScorer(SimWeight stats, AtomicReaderContext context) throws IOException { IDFStats idfstats = (IDFStats) stats; return new TFIDFSimScorer(idfstats, context.reader().getNormValues(idfstats.field)); } private final class TFIDFSimScorer extends SimScorer { private final IDFStats stats; private final float weightValue; private final NumericDocValues norms; TFIDFSimScorer(IDFStats stats, NumericDocValues norms) throws IOException { this.stats = stats; this.weightValue = stats.value; this.norms = norms; } @Override public float score(int doc, float freq) { final float raw = tf(freq) * weightValue; // compute tf(f)*weight return norms == null ? raw : raw * decodeNormValue(norms.get(doc)); // normalize for field } @Override public float computeSlopFactor(int distance) { return sloppyFreq(distance); } @Override public float computePayloadFactor(int doc, int start, int end, BytesRef payload) { return scorePayload(doc, start, end, payload); } @Override public Explanation explain(int doc, Explanation freq) { return explainScore(doc, freq, stats, norms); } } /** Collection statistics for the TF-IDF model. The only statistic of interest * to this model is idf. */ private static class IDFStats extends SimWeight { private final String field; /** The idf and its explanation */ private final Explanation idf; private float queryNorm; private float queryWeight; private final float queryBoost; private float value; public IDFStats(String field, Explanation idf, float queryBoost) { // TODO: Validate? this.field = field; this.idf = idf; this.queryBoost = queryBoost; this.queryWeight = idf.getValue() * queryBoost; // compute query weight } @Override public float getValueForNormalization() { // TODO: (sorta LUCENE-1907) make non-static class and expose this squaring via a nice method to subclasses? return queryWeight * queryWeight; // sum of squared weights } @Override public void normalize(float queryNorm, float topLevelBoost) { this.queryNorm = queryNorm * topLevelBoost; queryWeight *= this.queryNorm; // normalize query weight value = queryWeight * idf.getValue(); // idf for document } } private Explanation explainScore(int doc, Explanation freq, IDFStats stats, NumericDocValues norms) { Explanation result = new Explanation(); result.setDescription("score(doc="+doc+",freq="+freq+"), product of:"); // explain query weight Explanation queryExpl = new Explanation(); queryExpl.setDescription("queryWeight, product of:"); Explanation boostExpl = new Explanation(stats.queryBoost, "boost"); if (stats.queryBoost != 1.0f) queryExpl.addDetail(boostExpl); queryExpl.addDetail(stats.idf); Explanation queryNormExpl = new Explanation(stats.queryNorm,"queryNorm"); queryExpl.addDetail(queryNormExpl); queryExpl.setValue(boostExpl.getValue() * stats.idf.getValue() * queryNormExpl.getValue()); result.addDetail(queryExpl); // explain field weight Explanation fieldExpl = new Explanation(); fieldExpl.setDescription("fieldWeight in "+doc+ ", product of:"); Explanation tfExplanation = new Explanation(); tfExplanation.setValue(tf(freq.getValue())); tfExplanation.setDescription("tf(freq="+freq.getValue()+"), with freq of:"); tfExplanation.addDetail(freq); fieldExpl.addDetail(tfExplanation); fieldExpl.addDetail(stats.idf); Explanation fieldNormExpl = new Explanation(); float fieldNorm = norms != null ? decodeNormValue(norms.get(doc)) : 1.0f; fieldNormExpl.setValue(fieldNorm); fieldNormExpl.setDescription("fieldNorm(doc="+doc+")"); fieldExpl.addDetail(fieldNormExpl); fieldExpl.setValue(tfExplanation.getValue() * stats.idf.getValue() * fieldNormExpl.getValue()); result.addDetail(fieldExpl); // combine them result.setValue(queryExpl.getValue() * fieldExpl.getValue()); if (queryExpl.getValue() == 1.0f) return fieldExpl; return result; } }





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