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http://springuniversity.bc3research.org/ | 1 Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)
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Page 1: Short introduction to ontology · Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

http://springuniversity.bc3research.org/ | 1

Short introduction to ontology

Ioannis Athanasiadis

(using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

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Summarizing the Problem:Computers don’t understand Meaning

“My mouse is broken. I need a new one…”

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The Semantic Web Vision

“…having data on the Web defined and linked in a way that it can be used by machines not just for display purposes, but for automation, integration and reuse of data across various applications”

http://www.w3.org/sw/

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What is the Problem?

• Consider a typical web page:

• Markup consists of: • rendering information (e.g., font

size and colour)

• Hyper-links to related content

• Semantic content is accessible to humans but not (easily) to computers…

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What information can we see…WWW2002The eleventh international world wide web conferenceSheraton waikiki hotelHonolulu, hawaii, USA7-11 may 20021 location 5 days learn interactRegistered participants coming fromaustralia, canada, chile denmark, france, germany, ghana, hong kong, india, ireland, italy, japan, malta, new

zealand, the netherlands, norway, singapore, switzerland, the united kingdom, the united states, vietnam, zaire

Register nowOn the 7th May Honolulu will provide the backdrop of the eleventh international world wide web conference.

This prestigious event …Speakers confirmedTim berners-leeTim is the well known inventor of the Web, …Ian FosterIan is the pioneer of the Grid, the next generation internet …

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What information can a machine see…

WWW2002

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But What About…

<conf>WWW2002 </conf><place> && , , U</place><date>-11 2002</date><slogan>1 5 </slogan><participants> pp

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Machine sees…

< >WWW2002 </ >< > &&

, , U</ ><>-11 2002</>< >1 5 </ ><pp> pp

, , &, , , , &,

, , , &p, , , ,

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Page 9: Short introduction to ontology · Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

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Need to Add “Semantics”

•Use Ontologies to specify meaning of annotations• Ontologies provide a vocabulary of terms• New terms can be formed by combining existing ones• Meaning (semantics) of such terms is formally

specified• Can also specify relationships between terms in

multiple ontologies

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Ontology: Origins and HistoryOntology in Philosophy A philosophical discipline - a branch of philosophy

that deals with the nature and the organisation of reality

Science of Being (Aristotle, Metaphysics, IV, 1)

Tries to answer the questions:

What characterizes being? Eventually, what is being?

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Ontology Οντολογία

• Οντολογία

• on -“to live”, to be, exist, God

• logos - language, word, reasoning

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Plato’s cave

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Ontology

•Ontology deals with questions concerning what entities exist or can be said to exist, and how such entities can be grouped, related within a hierarchy, and subdivided according to similarities and differences.

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Ontology Definition

machine-readability with

computational

semantics

unambiguous terminology

definitions

commonly accepted

understanding

conceptual model of

a domain

(ontological theory)

[Gruber93]

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Enough with definitionsLets see some examples!

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Ontology in Linguistics

ReferentFormStands for

Relates toactivates

Concept

[Ogden, Richards, 1923]

Tank ?

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Ontology in science

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Ontology in library catalogs

•Dewey Decimal System's categorization for religions of the world:

Dewey, 200: Religion

210 Natural theology

220 Bible

230 Christian theology

240 Christian moral & devotional theology

250 Christian orders & local church

260 Christian social theology

270 Christian church history

280 Christian sects & denominations

290 Other religions

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Ontology in library catalogs

• Library of Congress' categorization of history:

D: History (general)

DA: Great Britain

DB: Austria

DC: France

DD: Germany

DE: Mediterranean

DF: Greece

DG: Italy

DH: Low Countries

DJ: Netherlands

DK: Former Soviet Union

DL: Scandinavia

DP: Iberian Peninsula

DQ: Switzerland

DR: Balkan Peninsula

DS: Asia

DT: Africa

DU: Oceania

DX: Gypsies

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Linnaean taxonomy

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Agricultural thesaurus

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What is an Ontology?

A model of (some aspect of) the world

• Introduces vocabulary relevant to domain• Often includes names for classes and relationships

• Specifies intended meaning of vocabulary• Typically formalised using a suitable logic• E.g., OWL formalised using SHOIQ description logic

• Consists of two parts• Set of axioms describing structure of the model• Set of facts describing some particular concrete situation

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Axioms

Describe the structure of the model, e.g.:

Class: HogwartsStudentEquivalentTo: Student and

attendsSchool value Hogwarts

Class: HogwartsStudentSubClassOf: hasPet only (Owl or Cat or Toad)

ObjectProperty: hasPetInverses: isPetOf

Class: PhoenixSubClassOf: isPetOf only Wizard

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Facts

Describe some particular concrete situation, e.g.:

Individual: HedwigTypes: Owl

Individual: HarryPotterTypes: HowgwartsStudentFacts: hasPet Hedwig

Individual: FawkesTypes: PhoenixFacts: isPetOf Dumbledore

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Obvious Database Analogy

• Ontology axioms analogous to DB schema• Schema describes structure of and constraints on data

• Ontology facts analogous to DB data• Instantiates schema• Consistent with schema constraints

• But there are also important differences…

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Database -v- Ontology

Ontology:

• Open world assumption (OWA)

– Missing information treated

as unknown

• No UNA

– Individuals may have more

than one name

• Ontology axioms behave like

implications (inference rules)

– Entail implicit information

Database:

• Closed world assumption (CWA)

– Missing information treated

as false

• Unique name assumption (UNA)

– Each individual has a single,

unique name

• Schema behaves as constraints

on structure of data

– Define legal database states

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Let the games begin!

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Database -v- Ontology: Q1

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Individual: Draco Malfoy

• Query: Is Draco Malfoy a friend of HarryPotter?

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Database -v- Ontology: Q1

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Individual: Draco Malfoy

• Query: Is Draco Malfoy a friend of HarryPotter?• DB: No• Ontology: Don’t Know

• OWA (didn’t say Draco was not Harry’s friend)

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Database -v- Ontology: Q2

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Individual: Draco Malfoy

• Query: How many friends does Harry Potter have?

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Database -v- Ontology: Q2

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Individual: Draco Malfoy

• Query: How many friends does Harry Potter have?• DB: 2• Ontology: at least 1

• No UNA (Ron and Hermione may be 2 names for same person)

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Database -v- Ontology: Q3

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Individual: Draco MalfoyDifferentIndividuals: RonWeasley HermioneGranger

• Query: How many friends does Harry Potter have?

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Database -v- Ontology: Q3

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Individual: Draco MalfoyDifferentIndividuals: RonWeasley HermioneGranger

• Query: How many friends does Harry Potter have?• DB: 2• Ontology: at least 2

• OWA (Harry may have more friends we didn’t mention yet)

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Database -v- Ontology: Q4

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Types: hasFriend only RonWeasley or HermioneGrangerIndividual: Draco MalfoyDifferentIndividuals: RonWeasley HermioneGranger

• Query: How many friends does Harry Potter have?

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Database -v- Ontology: Q4

• E.g., given facts/data:Individual: HarryPotter

Facts: hasFriend RonWeasleyhasFriend HermioneGrangerhasPet Hedwig

Types: hasFriend only RonWeasley or HermioneGrangerIndividual: Draco MalfoyDifferentIndividuals: RonWeasley HermioneGranger

• Query: How many friends does Harry Potter have?• DB: 2• Ontology: 2!

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Database -v- Ontology

• Insert new facts/data:Individual: DumbledoreIndividual: Fawkes

Types: PhoenixFacts: isPetOf Dumbledore

• Response from DBMS?• Update rejected: constraint violation

• Range of hasPet is Human; Dumbledore is not Human (CWA)

• Response from Ontology reasoner?• Infer that Dumbledore is Human (range restriction)• Also infer that Dumbledore is a Wizard

(only a Wizard can have a pheonix as a pet)

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DB Query Answering

• Schema plays no role• Data must explicitly satisfy schema constraints

• Query answering amounts to model checking• I.e., a “look-up” against the data

• Can be very efficiently implemented• Worst case complexity is low (logspace) w.r.t. size of data

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Ontology Query Answering

• Ontology axioms play a powerful and crucial role• Answer may include implicitly derived facts• Can answer conceptual as well as extensional queries

• E.g., Can a Muggle have a Phoenix for a pet?

• Query answering amounts to theorem proving• I.e., logical entailment

• May have very high worst case complexity• E.g., for OWL, NP-hard w.r.t. size of data

(upper bound is an open problem)• Implementations may still behave well in typical cases

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Ontology Based Information Systems

• Analogous to relational database management systems• Ontology : schema; instances : data

• Some important (dis)advantages+ (Relatively) easy to maintain and update schema

• Schema plus data are integrated in a logical theory+ Query answers reflect both schema and data+ Can deal with incomplete information+ Able to answer both intensional and extensional queries• Semantics may be counter-intuitive or even inappropriate

• Open -v- closed world; axioms -v- constraints• Query answering (logical entailment) much more difficult

• Can lead to scalability problems

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Semantic environmental modelling

utilize formal knowledge for representing the semantics of environmental data and models

• mediation approach: automatic integration of datasets, models and pipelines

• knowledge-driven approach: overcoming scale and paradigm differences, and automated knowledge discovery (experimental)

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SEM - Mediation approach

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SEM - Knowledge driven approach

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Ontologies in kLAB

• Upper ontology (DOLCE)

• Domain ontologies (IM, ARIES, SWEET, …)plus “authorities” (GBIF, AGROVOC, …)

• User/App ontologies (Basque Country, your ontology)

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The philosophers group

• Coming to town!

Page 47: Short introduction to ontology · Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

Editors: Ioannis N. Athanasiadis & Sander Janssen

Seamless Hall of Fame

Ioannis on explaining some of the uses of the ontology

Page 48: Short introduction to ontology · Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

Editors: Ioannis N. Athanasiadis & Sander Janssen

Seamless Hall of Fame

Sander talking about paradigm shifting and training.

Page 49: Short introduction to ontology · Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

Editors: Ioannis N. Athanasiadis & Sander Janssen

Seamless Hall of Fame

Kamel and Nina discussing during the FSSIM Framework Expert Week

Page 50: Short introduction to ontology · Short introduction to ontology Ioannis Athanasiadis (using slides from Osnat Minz, Ian Horrocks presentations and material from Clay Shirky writings)

Editors: Ioannis N. Athanasiadis & Sander Janssen

Seamless Hall of Fame

Kamel

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Example 1: Annotate buffalo population dataset• An environmental scientist has put together a dataset on buffalo population. Assume that dataset has been

stored in WCS format.

model wcs(service = ”http://eco.logismi.co/wcs”, id = ”BF”)

named buffaloas count livestock:Buffalo per km^2 in 2011

with metadata {dc:description ”FAO␣Gridded␣Livestock␣Dataset” dc:rights ”cc-attr-nomod”dc:source ”http://www.fao.org/...” im:distribution ”public” };

(i) query part: specifies how to technically retrieve the data

(ii) observation semantics part: links to a concept of a livestock ontology, and declares units, and spatial and temporal reference,

(iii) annotation/metadata part: contains information on resource provenance, licensing and reuse.

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Example 2: Create a Simple Flood Risk model

• Consider that the flood risk is classified by a simple rule depending on elevation

model SimpleFloodRiskModelas classification im.risk:FloodRiskobserving (im.geo:Elevation in m) named elevation

on definitionset to ’low’ if [elevation > 100]

’med’ if [elevation <= 100 and elevation > 20] ’high’ if [elevation<=20]

(i) model inputs and outputs are associated with concepts in an ontology (FloodRisk, Elevation)

(ii)enables the language system to subsequently compose and reuse the model with automated type checking, validate model chains and composition

(iii)a model can be transformed to a set of prerequisites to be satisfied

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Example 3: Interpreting vegetation types from global sourcesclass NaturalVegetation is im.landcover:ForestSeminatural

has children

( Forest has children

( ConiferousForest with metadata

{ im:corine-encoding 312 im:nlcd-1992-encoding 42 im:nlcd-2001-

encoding 42 }

has children

(OpenConiferousForest with metadata

{ im:globcover-encoding 90 }),

(ClosedConiferousForest with metadata

{ im:globcover-encoding 70 })),

(MixedForest with metadata { im:globcover-encoding 100 im:nlcd-1992-encoding 43

im:nlcd-2001-encoding 43 im:corine-encoding 313})), ...


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