Top Banner
Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview . . Introduction to Information Retrieval IIR 1: Boolean Retrieval Mihai Surdeanu (Based on slides by Hinrich Sch¨ utze at informationretrieval.org) Fall 2014 Boolean Retrieval 1 / 77
125

Introduction to Information Retrieval IIR 1: Boolean Retrieval

Mar 27, 2022

Download

Documents

dariahiddleston
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

.

.

Introduction to Information RetrievalIIR 1: Boolean Retrieval

Mihai Surdeanu(Based on slides by Hinrich Schutze at informationretrieval.org)

Fall 2014

Boolean Retrieval 1 / 77

Page 2: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Take-away

Why you should take this course

Admin issues

Boolean Retrieval: Design and data structures of a simpleinformation retrieval system

What topics will be covered in this class?

Boolean Retrieval 2 / 77

Page 3: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Outline

...1 Administration

...2 Introduction

...3 Inverted index

...4 Processing Boolean queries

...5 Query optimization

...6 Course overview

Boolean Retrieval 3 / 77

Page 4: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Website and Syllabus

Website:http://www.surdeanu.info/mihai/teaching/

ista556-fall14/

Syllabus:http://www.surdeanu.info/mihai/teaching/

ista556-fall14/IR-syllabus.pdf

See website and syllabus for: instructor information,time/location of class, textbook, grading policy

Boolean Retrieval 4 / 77

Page 5: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Prerequisites

Be a decent programmer: ISTA 350 or equivalent

Have a basic understanding of linear algebra: Math 215(linear algebra), or at least Calc 2 and willingness to learn onyour own.

Boolean Retrieval 5 / 77

Page 6: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Prerequisites: does this look scary?..IntersectWithSkips(p1, p2)1 answer ← ⟨ ⟩2 while p1 = nil and p2 = nil3 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))9 then while hasSkip(p1) and (docID(skip(p1)) ≤ docID(p2))

10 do p1 ← skip(p1)11 else p1 ← next(p1)12 else if hasSkip(p2) and (docID(skip(p2)) ≤ docID(p1))13 then while hasSkip(p2) and (docID(skip(p2)) ≤ docID(p1))14 do p2 ← skip(p2)15 else p2 ← next(p2)16 return answer

Boolean Retrieval 6 / 77

Page 7: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Prerequisites: does this look scary?..

||x ||2 =√∑

i

x2i

cos(q, d) = sim(q, d) =q · d|q||d |

=

∑|V |i=1 qidi√∑|V |

i=1 q2i

√∑|V |i=1 d

2i

Dot product, matrix multiplication, Bayes rule

Boolean Retrieval 7 / 77

Page 8: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Other relevant UA courses

...1 Machine Learning (ISTA 421/521)

...2 Statistical Natural Language Processing (LING 439/539)

...3 Applied Natural Language Processing (ISTA 455/555)

Boolean Retrieval 8 / 77

Page 9: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Choosing a programming languageMy recommendations

Scala

Java

Python

C/C++

Boolean Retrieval 9 / 77

Page 10: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Java

Pros

Pretty fastProbably the most common language for IR and NLPClean exception handlingStatically typedGarbage collectionSeveral great IDEs

Cons

Syntax too verboseInconsistent semantics due to enforced backwards compatibility(primitive types vs. objects, equality, etc.)

Boolean Retrieval 10 / 77

Page 11: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Scala

Pros

Pretty fast“Hot” language for IR, NLP, ML, distributed computing, webdevelopmentClean, transparent exception handlingClean, minimalist syntaxConsistent semanticsStatically typedGarbage collectionAt least one great IDE (IntelliJ)Fully compatible with Java (use all Java libraries)

Cons

It has some “dark corners”Backwards compatibility not guaranteed

Boolean Retrieval 11 / 77

Page 12: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Python

Pros

Clean syntaxPopular: many NLP/ML libraries existClean exception handling

Cons

SlowDynamically typedNo great IDE

Boolean Retrieval 12 / 77

Page 13: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

C/C++

Pros

As fast as it gets

Cons

Too many to list

Boolean Retrieval 13 / 77

Page 14: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Comparison

More benchmarks:http://benchmarksgame.alioth.debian.org/u64/benchmark.php?test=all&lang=all&data=u64

Boolean Retrieval 14 / 77

Page 15: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Outline

...1 Administration

...2 Introduction

...3 Inverted index

...4 Processing Boolean queries

...5 Query optimization

...6 Course overview

Boolean Retrieval 15 / 77

Page 16: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 17: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 18: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 19: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 20: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 21: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 22: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Definition of information retrieval

Information retrieval (IR) is finding material (usually documents) ofan unstructured nature (usually text) that satisfies an informationneed from within large collections (usually stored on computers).

Boolean Retrieval 16 / 77

Page 23: Introduction to Information Retrieval IIR 1: Boolean Retrieval
Page 24: Introduction to Information Retrieval IIR 1: Boolean Retrieval
Page 25: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Companies using IR

Google, Yahoo, Microsoft: search web, email, choose ads

Facebook: search friends’ posts, choose wall

Twitter: search tweets

HP Autonomy: enterprise search

Pandora: music (!) search

Boolean Retrieval 19 / 77

Page 26: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Boolean retrieval

The Boolean model is arguably the simplest model to base aninformation retrieval system on.

Queries are Boolean expressions, e.g., Caesar and Brutus

The seach engine returns all documents that satisfy theBoolean expression.

Does Google use the Boolean model?

Boolean Retrieval 20 / 77

Page 27: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Boolean retrieval

The Boolean model is arguably the simplest model to base aninformation retrieval system on.

Queries are Boolean expressions, e.g., Caesar and Brutus

The seach engine returns all documents that satisfy theBoolean expression.

Does Google use the Boolean model?

Boolean Retrieval 20 / 77

Page 28: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Does Google use the Boolean model?

On Google, the default interpretation of a query [w1 w2

. . .wn] is w1 AND w2 AND . . . AND wn

Cases where you get hits that do not contain one of the wi :

anchor textpage contains variant of wi (morphology, spelling correction,synonym)long queries (n large)boolean expression generates very few hits

Simple Boolean vs. Ranking of result set

Simple Boolean retrieval returns matching documents in noparticular order.Google (and most well designed Boolean engines) rank theresult set – they rank good hits (according to some estimatorof relevance) higher than bad hits.

Boolean Retrieval 21 / 77

Page 29: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Outline

...1 Administration

...2 Introduction

...3 Inverted index

...4 Processing Boolean queries

...5 Query optimization

...6 Course overview

Boolean Retrieval 22 / 77

Page 30: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Unstructured data in 1650: Shakespeare

Boolean Retrieval 23 / 77

Page 31: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Unstructured data in 1650

Which plays of Shakespeare contain the words Brutus andCaesar, but not Calpurnia?

One could grep all of Shakespeare’s plays for Brutus andCaesar, then strip out lines containing Calpurnia.

Why is grep not the solution?

Slow (for large collections)grep is line-oriented, IR is document-oriented“not Calpurnia” is non-trivialOther operations (e.g., find the word Romans nearcountryman) not feasible

Boolean Retrieval 24 / 77

Page 32: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Unstructured data in 1650

Which plays of Shakespeare contain the words Brutus andCaesar, but not Calpurnia?

One could grep all of Shakespeare’s plays for Brutus andCaesar, then strip out lines containing Calpurnia.

Why is grep not the solution?

Slow (for large collections)grep is line-oriented, IR is document-oriented“not Calpurnia” is non-trivialOther operations (e.g., find the word Romans nearcountryman) not feasible

Boolean Retrieval 24 / 77

Page 33: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Term-document incidence matrix..

Anthony Julius The Hamlet Othello Macbeth . . .and Caesar Tempest

CleopatraAnthony 1 1 0 0 0 1Brutus 1 1 0 1 0 0Caesar 1 1 0 1 1 1Calpurnia 0 1 0 0 0 0Cleopatra 1 0 0 0 0 0mercy 1 0 1 1 1 1worser 1 0 1 1 1 0. . .Entry is 1 if term occurs. Example: Calpurnia occurs in Julius Caesar.Entry is 0 if term doesn’t occur. Example: Calpurnia doesn’t occur in Thetempest.

Boolean Retrieval 25 / 77

Page 34: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Term-document incidence matrix..

Anthony Julius The Hamlet Othello Macbeth . . .and Caesar Tempest

CleopatraAnthony 1 1 0 0 0 1Brutus 1 1 0 1 0 0Caesar 1 1 0 1 1 1Calpurnia 0 1 0 0 0 0Cleopatra 1 0 0 0 0 0mercy 1 0 1 1 1 1worser 1 0 1 1 1 0. . .Entry is 1 if term occurs. Example: Calpurnia occurs in Julius Caesar.Entry is 0 if term doesn’t occur. Example: Calpurnia doesn’t occur in Thetempest.

Boolean Retrieval 25 / 77

Page 35: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Term-document incidence matrix..

Anthony Julius The Hamlet Othello Macbeth . . .and Caesar Tempest

CleopatraAnthony 1 1 0 0 0 1Brutus 1 1 0 1 0 0Caesar 1 1 0 1 1 1Calpurnia 0 1 0 0 0 0Cleopatra 1 0 0 0 0 0mercy 1 0 1 1 1 1worser 1 0 1 1 1 0. . .Entry is 1 if term occurs. Example: Calpurnia occurs in Julius Caesar.Entry is 0 if term doesn’t occur. Example: Calpurnia doesn’t occur in Thetempest.

Boolean Retrieval 25 / 77

Page 36: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Incidence vectors

So we have a 0/1 vector for each term.

To answer the query Brutus and Caesar and notCalpurnia:

Take the vectors for Brutus, Caesar, and CalpurniaComplement the vector of CalpurniaDo a (bitwise) and on the three vectors110100 and 110111 and 101111 = 100100

Boolean Retrieval 26 / 77

Page 37: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Incidence vectors

So we have a 0/1 vector for each term.

To answer the query Brutus and Caesar and notCalpurnia:

Take the vectors for Brutus, Caesar, and CalpurniaComplement the vector of CalpurniaDo a (bitwise) and on the three vectors110100 and 110111 and 101111 = 100100

Boolean Retrieval 26 / 77

Page 38: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

0/1 vector for Brutus..

Anthony Julius The Hamlet Othello Macbeth . . .and Caesar Tempest

CleopatraAnthony 1 1 0 0 0 1Brutus 1 1 0 1 0 0Caesar 1 1 0 1 1 1Calpurnia 0 1 0 0 0 0Cleopatra 1 0 0 0 0 0mercy 1 0 1 1 1 1worser 1 0 1 1 1 0. . .

result: 1 0 0 1 0 0

Boolean Retrieval 27 / 77

Page 39: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Answers to query

Anthony and Cleopatra, Act III, Scene iiAgrippa [Aside to Domitius Enobarbus]: Why, Enobarbus,

When Antony found Julius Caesar dead,He cried almost to roaring; and he weptWhen at Philippi he found Brutus slain.

Hamlet, Act III, Scene iiLord Polonius: I did enact Julius Caesar: I was killed i’ the

Capitol; Brutus killed me.

Boolean Retrieval 28 / 77

Page 40: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Bigger collections

Consider N = 106 documents, each with about 1000 tokens

⇒ total of 109 tokens

On average 6 bytes per token, including spaces andpunctuation ⇒ size of document collection is about 6 · 109 =6 GB

Assume there are M = 500,000 distinct terms in the collection

(Notice that we are making a term/token distinction.)

Boolean Retrieval 29 / 77

Page 41: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Can’t build the incidence matrix

M = 500,000× 106 = half a trillion 0s and 1s.

But the matrix has no more than one billion 1s.

Matrix is extremely sparse.

What is a better representations?

We only record the 1s.

Boolean Retrieval 30 / 77

Page 42: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Inverted Index

For each term t, we store a list of all documents that contain t.

Brutus −→ 1 2 4 11 31 45 173 174

Caesar −→ 1 2 4 5 6 16 57 132 . . .

Calpurnia −→ 2 31 54 101

...︸ ︷︷ ︸ ︸ ︷︷ ︸dictionary postings

Boolean Retrieval 31 / 77

Page 43: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Inverted Index

For each term t, we store a list of all documents that contain t.

Brutus −→ 1 2 4 11 31 45 173 174

Caesar −→ 1 2 4 5 6 16 57 132 . . .

Calpurnia −→ 2 31 54 101

...︸ ︷︷ ︸ ︸ ︷︷ ︸dictionary postings

Boolean Retrieval 31 / 77

Page 44: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Inverted Index

For each term t, we store a list of all documents that contain t.

Brutus −→ 1 2 4 11 31 45 173 174

Caesar −→ 1 2 4 5 6 16 57 132 . . .

Calpurnia −→ 2 31 54 101

...︸ ︷︷ ︸ ︸ ︷︷ ︸dictionary postings

Boolean Retrieval 31 / 77

Page 45: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Inverted index construction

...1 Collect the documents to be indexed:

Friends, Romans, countrymen. So let it be with Caesar . . .

...2 Tokenize the text, turning each document into a list of tokens:

Friends Romans countrymen So . . .

...3 Do linguistic preprocessing, producing a list of normalized

tokens, which are the indexing terms: friend roman

countryman so . . .

...4 Index the documents that each term occurs in by creating aninverted index, consisting of a dictionary and postings.

Boolean Retrieval 32 / 77

Page 46: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Tokenization and preprocessing..Doc 1. I did enact Julius Caesar: Iwas killed i’ the Capitol; Brutus killedme.Doc 2. So let it be with Caesar. Thenoble Brutus hath told you Caesarwas ambitious:

=⇒Doc 1. i did enact julius caesar i waskilled i’ the capitol brutus killed meDoc 2. so let it be with caesar thenoble brutus hath told you caesar wasambitious

Boolean Retrieval 33 / 77

Page 47: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Generate postings..

Doc 1. i did enact julius caesar i waskilled i’ the capitol brutus killed meDoc 2. so let it be with caesar thenoble brutus hath told you caesar wasambitious

=⇒

term docIDi 1did 1enact 1julius 1caesar 1i 1was 1killed 1i’ 1the 1capitol 1brutus 1killed 1me 1so 2let 2it 2be 2with 2caesar 2the 2noble 2brutus 2hath 2told 2you 2caesar 2was 2ambitious 2

Boolean Retrieval 34 / 77

Page 48: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Sort postings..term docIDi 1did 1enact 1julius 1caesar 1i 1was 1killed 1i’ 1the 1capitol 1brutus 1killed 1me 1so 2let 2it 2be 2with 2caesar 2the 2noble 2brutus 2hath 2told 2you 2caesar 2was 2ambitious 2

=⇒

term docIDambitious 2be 2brutus 1brutus 2capitol 1caesar 1caesar 2caesar 2did 1enact 1hath 1i 1i 1i’ 1it 2julius 1killed 1killed 1let 2me 1noble 2so 2the 1the 2told 2you 2was 1was 2with 2

Boolean Retrieval 35 / 77

Page 49: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Create postings lists, determine document frequency..term docIDambitious 2be 2brutus 1brutus 2capitol 1caesar 1caesar 2caesar 2did 1enact 1hath 1i 1i 1i’ 1it 2julius 1killed 1killed 1let 2me 1noble 2so 2the 1the 2told 2you 2was 1was 2with 2

=⇒

term doc. freq. → postings lists

ambitious 1 → 2

be 1 → 2

brutus 2 → 1 → 2

capitol 1 → 1

caesar 2 → 1 → 2

did 1 → 1

enact 1 → 1

hath 1 → 2

i 1 → 1

i’ 1 → 1

it 1 → 2

julius 1 → 1

killed 1 → 1

let 1 → 2

me 1 → 1

noble 1 → 2

so 1 → 2

the 2 → 1 → 2

told 1 → 2

you 1 → 2

was 2 → 1 → 2

with 1 → 2

Boolean Retrieval 36 / 77

Page 50: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Split the result into dictionary and postings file

Brutus −→ 1 2 4 11 31 45 173 174

Caesar −→ 1 2 4 5 6 16 57 132 . . .

Calpurnia −→ 2 31 54 101

...︸ ︷︷ ︸ ︸ ︷︷ ︸dictionary postings file

Boolean Retrieval 37 / 77

Page 51: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Later in this course

Index construction: how can we create inverted indexes forlarge collections?

How much space do we need for dictionary and index?

Index compression: how can we efficiently store and processindexes for large collections?

Ranked retrieval: what does the inverted index look like whenwe want the “best” answer?

Boolean Retrieval 38 / 77

Page 52: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Outline

...1 Administration

...2 Introduction

...3 Inverted index

...4 Processing Boolean queries

...5 Query optimization

...6 Course overview

Boolean Retrieval 39 / 77

Page 53: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Simple conjunctive query (two terms)

Consider the query: Brutus AND Calpurnia

To find all matching documents using inverted index:...1 Locate Brutus in the dictionary...2 Retrieve its postings list from the postings file...3 Locate Calpurnia in the dictionary...4 Retrieve its postings list from the postings file...5 Intersect the two postings lists...6 Return intersection to user

Boolean Retrieval 40 / 77

Page 54: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒

2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 55: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒

2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 56: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒

2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 57: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2

→ 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 58: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2

→ 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 59: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2

→ 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 60: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2

→ 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 61: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 62: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 63: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 64: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 65: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 66: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 67: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Intersection =⇒ 2 → 31

This is linear in the length of the postings lists.

Note: This only works if postings lists are sorted.

Boolean Retrieval 41 / 77

Page 68: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Intersecting two postings lists

Intersect(p1, p2)1 answer ← ⟨ ⟩2 while p1 = nil and p2 = nil3 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 p1 ← next(p1)9 else p2 ← next(p2)

10 return answer

Boolean Retrieval 42 / 77

Page 69: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query processing: Exercise..

france −→ 1 → 2 → 3 → 4 → 5 → 7 → 8 → 9 → 11 → 12 → 13 → 14 → 15

paris −→ 2 → 6 → 10 → 12 → 14

lear −→ 12 → 15

Compute hit list for ((paris AND NOT france) OR lear)

Boolean Retrieval 43 / 77

Page 70: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Boolean queries

The Boolean retrieval model can answer any query that is aBoolean expression.

Boolean queries are queries that use and, or and not to joinquery terms.Views each document as a set of terms.Is precise: Document matches condition or not.

Primary commercial retrieval tool for 3 decades

Many professional searchers (e.g., lawyers) still like Booleanqueries.

You know exactly what you are getting.

Many search systems you use are also Boolean: spotlight,email, intranet etc.

Boolean Retrieval 44 / 77

Page 71: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Commercially successful Boolean retrieval: Westlaw

Largest commercial legal search service in terms of thenumber of paying subscribers

Over half a million subscribers performing millions of searchesa day over tens of terabytes of text data

The service was started in 1975.

In 2005, Boolean search (called “Terms and Connectors” byWestlaw) was still the default, and used by a large percentageof users . . .

. . . although ranked retrieval has been available since 1992.

Boolean Retrieval 45 / 77

Page 72: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Westlaw: Example queries

Information need: Information on the legal theories involved inpreventing the disclosure of trade secrets by employees formerlyemployed by a competing company

Query: “trade secret” /s disclos! /s prevent /s employe!

Information need: Requirements for disabled people to be able toaccess a workplace

Query: disab! /p access! /s work-site work-place (employment /3place)

Information need: Cases about a host’s responsibility for drunkguests

Query: host! /p (responsib! liab!) /p (intoxicat! drunk!) /p guest

Boolean Retrieval 46 / 77

Page 73: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Westlaw: Example queries

Information need: Information on the legal theories involved inpreventing the disclosure of trade secrets by employees formerlyemployed by a competing company

Query: “trade secret” /s disclos! /s prevent /s employe!

Information need: Requirements for disabled people to be able toaccess a workplace

Query: disab! /p access! /s work-site work-place (employment /3place)

Information need: Cases about a host’s responsibility for drunkguests

Query: host! /p (responsib! liab!) /p (intoxicat! drunk!) /p guest

Boolean Retrieval 46 / 77

Page 74: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Westlaw: Example queries

Information need: Information on the legal theories involved inpreventing the disclosure of trade secrets by employees formerlyemployed by a competing company

Query: “trade secret” /s disclos! /s prevent /s employe!

Information need: Requirements for disabled people to be able toaccess a workplace

Query: disab! /p access! /s work-site work-place (employment /3place)

Information need: Cases about a host’s responsibility for drunkguests

Query: host! /p (responsib! liab!) /p (intoxicat! drunk!) /p guest

Boolean Retrieval 46 / 77

Page 75: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Westlaw: Comments

Proximity operators: /3 = within 3 words, /s = within asentence, /p = within a paragraph

Space is disjunction, not conjunction! (This was the default insearch pre-Google.)

Long, precise queries: incrementally developed, not like websearch

Why professional searchers often like Boolean search:precision, transparency, control

When are Boolean queries the best way of searching? Dependson: information need, searcher, document collection, . . .

Boolean Retrieval 47 / 77

Page 76: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Outline

...1 Administration

...2 Introduction

...3 Inverted index

...4 Processing Boolean queries

...5 Query optimization

...6 Course overview

Boolean Retrieval 48 / 77

Page 77: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query optimization

Consider a query that is an and of n terms, n > 2

For each of the terms, get its postings list, then and themtogether

Example query: Brutus AND Calpurnia AND Caesar

What is the best order for processing this query?

Boolean Retrieval 49 / 77

Page 78: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query optimization

Example query: Brutus AND Calpurnia AND Caesar

Simple and effective optimization: Process in order ofincreasing frequency

Start with the shortest postings list, then keep cutting further

In this example, first Caesar, then Calpurnia, thenBrutus

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Caesar −→ 5 → 31

Boolean Retrieval 50 / 77

Page 79: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query optimization

Example query: Brutus AND Calpurnia AND Caesar

Simple and effective optimization: Process in order ofincreasing frequency

Start with the shortest postings list, then keep cutting further

In this example, first Caesar, then Calpurnia, thenBrutus

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Caesar −→ 5 → 31

Boolean Retrieval 50 / 77

Page 80: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query optimization

Example query: Brutus AND Calpurnia AND Caesar

Simple and effective optimization: Process in order ofincreasing frequency

Start with the shortest postings list, then keep cutting further

In this example, first Caesar, then Calpurnia, thenBrutus

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Caesar −→ 5 → 31

Boolean Retrieval 50 / 77

Page 81: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query optimization

Example query: Brutus AND Calpurnia AND Caesar

Simple and effective optimization: Process in order ofincreasing frequency

Start with the shortest postings list, then keep cutting further

In this example, first Caesar, then Calpurnia, thenBrutus

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Caesar −→ 5 → 31

Boolean Retrieval 50 / 77

Page 82: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Query optimization

Example query: Brutus AND Calpurnia AND Caesar

Simple and effective optimization: Process in order ofincreasing frequency

Start with the shortest postings list, then keep cutting further

In this example, first Caesar, then Calpurnia, thenBrutus

Brutus −→ 1 → 2 → 4 → 11 → 31 → 45 → 173 → 174

Calpurnia −→ 2 → 31 → 54 → 101

Caesar −→ 5 → 31

Boolean Retrieval 50 / 77

Page 83: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Optimized intersection algorithm for conjunctive queries

Intersect(⟨t1, . . . , tn⟩)1 terms ← SortByIncreasingFrequency(⟨t1, . . . , tn⟩)2 result ← postings(first(terms))3 terms ← rest(terms)4 while terms = nil and result = nil5 do result ← Intersect(result, postings(first(terms)))6 terms ← rest(terms)7 return result

Boolean Retrieval 51 / 77

Page 84: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

More general optimization

Example query: (madding or crowd) and (ignoble orstrife)

Get frequencies for all terms

Estimate the size of each or by the sum of its frequencies(conservative)

Process in increasing order of or sizes

Boolean Retrieval 52 / 77

Page 85: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Outline

...1 Administration

...2 Introduction

...3 Inverted index

...4 Processing Boolean queries

...5 Query optimization

...6 Course overview

Boolean Retrieval 53 / 77

Page 86: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Course overview

We are done with Chapter 1 of IIR (IIR 01).

Plan for the rest of the semester: 18–20 of the 21 chapters ofIIR

In what follows: teasers for most chapters – to give you asense of what will be covered.

Boolean Retrieval 54 / 77

Page 87: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 02: The term vocabulary and postings lists

Phrase queries: “Stanford University”

Proximity queries: Gates near Microsoft

We need an index that captures position information forphrase queries and proximity queries.

Boolean Retrieval 55 / 77

Page 88: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 03: Dictionaries and tolerant retrieval

rd aboard ardent boardroom border

or border lord morbid sordid

bo aboard about boardroom border

- - - -

- - - -

- - - -

Boolean Retrieval 56 / 77

Page 89: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 04: Index construction

masterassign

mapphase

reducephase

assign

parser

splits

parser

parser

inverter

postings

inverter

inverter

a-f

g-p

q-z

a-f g-p q-z

a-f g-p q-z

a-f

segmentfiles

g-p q-z

Boolean Retrieval 57 / 77

Page 90: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 05: Index compression

0 1 2 3 4 5 6

01

23

45

67

log10 rank

7

log10 c

f

Zipf’s law

Boolean Retrieval 58 / 77

Page 91: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 06: Scoring, term weighting and the vector spacemodel

..

Ranking search results

Boolean queries only give inclusion or exclusion of documents.For ranked retrieval, we measure the proximity between the query andeach document.One formalism for doing this: the vector space model

Key challenge in ranked retrieval: evidence accumulation for a term ina document

1 vs. 0 occurence of a query term in the document3 vs. 2 occurences of a query term in the documentUsually: more is betterBut by how much?Need a scoring function that translates frequency into score or weight

Boolean Retrieval 59 / 77

Page 92: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 07: Scoring in a complete search system

Documents

Document cache

Indexes

k-gramScoring

parameters

MLR

training set

Results page

Indexers

Parsing Linguistics

user query

Free text query parser

Spell correction Scoring and ranking

Tiered inverted positional index

Inexact top K

retrieval

Metadata in zone and

field indexes

Boolean Retrieval 60 / 77

Page 93: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 08: Evaluation and dynamic summaries

Boolean Retrieval 61 / 77

Page 94: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 09: Relevance feedback & query expansion

Boolean Retrieval 62 / 77

Page 95: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 11: Probabilistic information retrieval

P(R|d , q) is modeled using term incidence vectors as P(R |x , q)

P(R = 1|x , q) =P(x |R = 1, q)P(R = 1|q)

P(x |q)

P(R = 0|x , q) =P(x |R = 0, q)P(R = 0|q)

P(x |q)

P(x |R = 1, q) and P(x |R = 0, q): probability that if arelevant or nonrelevant document is retrieved, then thatdocument’s representation is x

Use statistics about the document collection to estimate theseprobabilities

Boolean Retrieval 63 / 77

Page 96: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog

said

that

toad

likes

frog

STOP

P(string) =

0.01

·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 97: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog

said

that

toad

likes

frog

STOP

P(string) =

0.01

·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 98: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog

said

that

toad

likes

frog

STOP

P(string) =

0.01

·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 99: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog

said

that

toad

likes

frog

STOP

P(string) = 0.01

·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 100: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said

that

toad

likes

frog

STOP

P(string) = 0.01

·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 101: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said

that

toad

likes

frog

STOP

P(string) = 0.01 ·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 102: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that

toad

likes

frog

STOP

P(string) = 0.01 ·0.03

·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 103: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that

toad

likes

frog

STOP

P(string) = 0.01 ·0.03 ·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 104: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad

likes

frog

STOP

P(string) = 0.01 ·0.03 ·0.04

·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 105: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad

likes

frog

STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 106: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes

frog

STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01

·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 107: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes

frog

STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01 ·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 108: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes frog

STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01 ·0.02

·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 109: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes frog

STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01 ·0.02 ·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 110: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes frog STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01 ·0.02 ·0.01

·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 111: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes frog STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01 ·0.02 ·0.01 ·0.2

= 0.0000000000048

Boolean Retrieval 64 / 77

Page 112: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 12: Language models

q1

w P(w |q1) w P(w |q1)STOP 0.2 toad 0.01the 0.2 said 0.03a 0.1 likes 0.02frog 0.01 that 0.04

. . . . . .

This is a one-state probabilistic finite-state automaton – a unigramlanguage model – and the state emission distribution for its onestate q1.

STOP is not a word, but a special symbol indicating that theautomaton stops.

frog said that toad likes frog STOP

P(string) = 0.01 ·0.03 ·0.04 ·0.01 ·0.02 ·0.01 ·0.2= 0.0000000000048

Boolean Retrieval 64 / 77

Page 113: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 13: Text classification & Naive Bayes

Text classification = assigning documents automatically topredefined classes

Examples:

Language (English vs. French)Adult contentRegion

Boolean Retrieval 65 / 77

Page 114: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 14: Vector classification

X

X

XX

X

X

X

X

X

X

X

Boolean Retrieval 66 / 77

Page 115: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 15: Support vector machines (possibly skipped)

Boolean Retrieval 67 / 77

Page 116: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 16: Flat clustering

Boolean Retrieval 68 / 77

Page 117: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 17: Hierarchical clustering

http://news.google.com

Boolean Retrieval 69 / 77

Page 118: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 18: Latent Semantic Indexing

Boolean Retrieval 70 / 77

Page 119: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 19: The web and its challenges

Unusual and diverse documents

Unusual and diverse users and information needs

Beyond terms and text: exploit link analysis, user data

How do web search engines work?

How can we make them better?

Boolean Retrieval 71 / 77

Page 120: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 20: Crawling

www

Fetch

DNS

Parse

URL Frontier

ContentSeen?

��

����

DocFP’s �

�����

URLset

URLFilter

Hostsplitter

Toothernodes

Fromothernodes

DupURLElim-

-

6

�-

?6

- - - -

6? 6?666

---

Boolean Retrieval 72 / 77

Page 121: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

IIR 21: Link analysis / PageRank

Boolean Retrieval 73 / 77

Page 122: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

If time permits:Evolution of the Google IR System

Boolean Retrieval 74 / 77

Page 123: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

If time permits:Building Watson: An Overview of the DeepQA Project

Boolean Retrieval 75 / 77

Page 124: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

If time permits:Introduction to computational advertising

Boolean Retrieval 76 / 77

Page 125: Introduction to Information Retrieval IIR 1: Boolean Retrieval

Administration Introduction Inverted index Processing Boolean queries Query optimization Course overview

Take-away

Why you should take this course

Admin issues

Boolean Retrieval: Design and data structures of a simpleinformation retrieval system

What topics will be covered in this class?

Boolean Retrieval 77 / 77