Mathematical Semantics of Statistical Data
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The document discusses the mathematical semantics of statistical data. It presents examples of derived statistical values for populations and unemployment rates for two locations. It raises questions about how to validate derived values and compute them for new data points. It proposes representing mathematical expressions as ordered n-ary trees in RDF to integrate math into the semantic web of data.
Mathematical Semantics of Statistical Data
- 1. Mathematical Semantics of Statistical Data Government Data Meetup Graz Christoph Lange Jacobs University, Bremen, Germany KWARC – Knowledge Adaptation and Reasoning for Content August 31, 2010 Christoph Lange (Jacobs University) Mathematical Semantics of Statistical Data August 31, 2010 1/3
- 2. Problem Statement: Derived Values :pop_sealand2010 :pop_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; scv:dimension :People18to65years ; scv:dimension :People18to65years ; rdf:value 7 . rdf:value 11 . :unemployed_sealand2010 :unemployed_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; scv:dimension :People18to65years ; scv:dimension :People18to65years ; rdf:value 2 . rdf:value 1 . :unemp_rate_sealand2010 :unemp_rate_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; rdf:value 0.286 . rdf:value 0.091 . Christoph Lange (Jacobs University) Mathematical Semantics of Statistical Data August 31, 2010 2/3
- 3. Problem Statement: Derived Values :pop_sealand2010 :pop_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; scv:dimension :People18to65years ; scv:dimension :People18to65years ; rdf:value 7 . rdf:value 11 . :unemployed_sealand2010 :unemployed_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; scv:dimension :People18to65years ; scv:dimension :People18to65years ; rdf:value 2 . rdf:value 1 . :unemp_rate_sealand2010 :unemp_rate_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; rdf:value 0.286 . rdf:value 0.091 . How to validate the derived values? How to compute them for new data points? Christoph Lange (Jacobs University) Mathematical Semantics of Statistical Data August 31, 2010 2/3
- 4. Problem Statement: Derived Values :pop_sealand2010 :pop_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; scv:dimension :People18to65years ; scv:dimension :People18to65years ; rdf:value 7 . rdf:value 11 . :unemployed_sealand2010 :unemployed_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; scv:dimension :People18to65years ; scv:dimension :People18to65years ; rdf:value 2 . rdf:value 1 . :unemp_rate_sealand2010 :unemp_rate_kugelmugel2010 scv:dimension :PrincipalityOfSealand ; scv:dimension :KugelmugelRepublic ; scv:dimension :Year2010 ; scv:dimension :Year2010 ; rdf:value 0.286 . rdf:value 0.091 . How to validate the derived values? How to compute them for new data points? unemp. rate = unemployed – link to ‘‘division’’ population Harder: link to custom/non-standard functions Math expressions are ordered n-ary trees – RDF? Christoph Lange (Jacobs University) Mathematical Semantics of Statistical Data August 31, 2010 2/3
- 5. Integrate Math into the Web of Data ECS South- Sem- Wiki- Surge ampton LIBRIS Web- company Radio Central RDF ohloh Resex Doap- Buda- Music- space Semantic ReSIST brainz Audio- pest Eurécom Project Flickr Web.org MySpace Scrobbler QDOS SW BME Wiki exporter Wrapper Conference IRIT Corpus Toulouse RAE National BBC BBC Crunch 2001 Science FOAF SIOC ACM BBC Later + John Base Revyu Foundation Jamendo Peel profiles Sites Playcount TOTP Open- Data Guides DBLP flickr RKB Project Pub Geo- Euro- wrappr Explorer Guten- Virtuoso Guide names stat Pisa CORDIS berg Sponger eprints BBC Programm Open es Calais Computation? Gov- riese Magna- tune World Fact- book Linked MDB DLMF RDF Book RKB ECS South- ampton IEEE New- castle Track Mashup DBpedia lingvoj Freebase LAAS- US CiteSeer CNRS Census W3C DBLP IBM Data WordNet Hannover UniRef GEO UMBEL Species DBLP Berlin Reactome LinkedCT UniParc Open Taxonomy Cyc Yago Drug PROSITE Daily Bank Homolo Gene Pub Chem Med Open- KEGG GeneID UniProt Pfam ProDom Disea- some Math CAS ChEBI Gene Ontology Symbol OMIM Inter Planet- UniSTS HGNC Pro PDB Do your datasets MGI PubMed Math As of March 2009 contain derived values? MSC Christoph Lange (Jacobs University) Mathematical Semantics of Statistical Data August 31, 2010 3/3