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Towards Ordinal Data Science

Authors: Gerd Stumme, Dominik Dürrschnabel, and Tom Hanika

Published in: TGDK, Volume 1, Issue 1 (2023): Special Issue on Trends in Graph Data and Knowledge. Transactions on Graph Data and Knowledge, Volume 1, Issue 1


Abstract
Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small. One reason for this is the limited availability of computational resources in the last century that would have been required for ordinal computations. Another reason - particularly important for this line of research - is that order-based methods are often seen as too mathematically rigorous for applying them to real-world data. In this paper, we will therefore discuss different means for measuring and ‘calculating’ with ordinal structures - a specific class of directed graphs - and show how to infer knowledge from them. Our aim is to establish Ordinal Data Science as a fundamentally new research agenda. Besides cross-fertilization with other cornerstone machine learning and knowledge representation methods, a broad range of disciplines will benefit from this endeavor, including, psychology, sociology, economics, web science, knowledge engineering, scientometrics.

Cite as

Gerd Stumme, Dominik Dürrschnabel, and Tom Hanika. Towards Ordinal Data Science. In Special Issue on Trends in Graph Data and Knowledge. Transactions on Graph Data and Knowledge (TGDK), Volume 1, Issue 1, pp. 6:1-6:39, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


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@Article{stumme_et_al:TGDK.1.1.6,
  author =	{Stumme, Gerd and D\"{u}rrschnabel, Dominik and Hanika, Tom},
  title =	{{Towards Ordinal Data Science}},
  journal =	{Transactions on Graph Data and Knowledge},
  pages =	{6:1--6:39},
  year =	{2023},
  volume =	{1},
  number =	{1},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/TGDK.1.1.6},
  URN =		{urn:nbn:de:0030-drops-194801},
  doi =		{10.4230/TGDK.1.1.6},
  annote =	{Keywords: Order relation, data science, relational theory of measurement, metric learning, general algebra, lattices, factorization, approximations and heuristics, factor analysis, visualization, browsing, explainability}
}
Document
08391 Abstracts Collection – Social Web Communities

Authors: Harith Alani, Steffen Staab, and Gerd Stumme

Published in: Dagstuhl Seminar Proceedings, Volume 8391, Social Web Communities (2008)


Abstract
From September 21st to September 26th 2008, the Dagstuhl Seminar 08391 ``Social Web Communities'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.

Cite as

Harith Alani, Steffen Staab, and Gerd Stumme. 08391 Abstracts Collection – Social Web Communities. In Social Web Communities. Dagstuhl Seminar Proceedings, Volume 8391, pp. 1-10, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2008)


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@InProceedings{alani_et_al:DagSemProc.08391.1,
  author =	{Alani, Harith and Staab, Steffen and Stumme, Gerd},
  title =	{{08391 Abstracts Collection – Social Web Communities}},
  booktitle =	{Social Web Communities},
  pages =	{1--10},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8391},
  editor =	{Harith Alani and Steffen Staab and Gerd Stumme},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08391.1},
  URN =		{urn:nbn:de:0030-drops-17928},
  doi =		{10.4230/DagSemProc.08391.1},
  annote =	{Keywords: Social Web Communities, Social Network Analysis, Collaborative Tagging}
}
Document
08391 Executive Summary – Social Web Communities

Authors: Harith Alani, Steffen Staab, and Gerd Stumme

Published in: Dagstuhl Seminar Proceedings, Volume 8391, Social Web Communities (2008)


Abstract
Blogs, Wikis, and Social Bookmark Tools have rapidly emerged on the Web. The reasons for their immediate success are that people are happy to share information, and that these tools provide an infrastructure for doing so without requiring any specific skills. At the moment, there exists no foundational research for these systems, and they provide only very simple structures for organising knowledge. Individual users create their own structures, but these can currently not be exploited for knowledge sharing. The objective of the seminar was to provide theoretical foundations for upcoming Web 2.0 applications and to investigate further applications that go beyond bookmark- and file-sharing. The main research question can be summarized as follows: How will current and emerging resource sharing systems support users to leverage more knowledge and power from the information they share on Web 2.0 applications? Research areas like Semantic Web, Machine Learning, Information Retrieval, Information Extraction, Social Network Analysis, Natural Language Processing, Library and Information Sciences, and Hypermedia Systems have been working for a while on these questions. In the workshop, researchers from these areas came together to assess the state of the art and to set up a road map describing the next steps towards the next generation of social software.

Cite as

Harith Alani, Steffen Staab, and Gerd Stumme. 08391 Executive Summary – Social Web Communities. In Social Web Communities. Dagstuhl Seminar Proceedings, Volume 8391, pp. 1-5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2008)


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@InProceedings{alani_et_al:DagSemProc.08391.2,
  author =	{Alani, Harith and Staab, Steffen and Stumme, Gerd},
  title =	{{08391 Executive Summary – Social Web Communities}},
  booktitle =	{Social Web Communities},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8391},
  editor =	{Harith Alani and Steffen Staab and Gerd Stumme},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08391.2},
  URN =		{urn:nbn:de:0030-drops-17864},
  doi =		{10.4230/DagSemProc.08391.2},
  annote =	{Keywords: }
}
Document
08391 Group Summary – The Evolution and Dynamics of Research Networks

Authors: Vladimir Batagelj, Bettina Hoser, Claudia Müller, Steffen Staab, and Gerd Stumme

Published in: Dagstuhl Seminar Proceedings, Volume 8391, Social Web Communities (2008)


Abstract
Existing collaboration and innovation in scientific communities can be enhanced by understanding the underlying patterns und hidden relations. Social network analysis is an appropriate method to reveal such patterns. Nevertheless, research in this area is mainly focused on social networks. One promising approach is to use homophily networks as well. Furthermore, extending the static to a dynamic network model enables to understand existing interdependencies in these networks. A mathematical description of possible analyses is given. Finally, resulting research questions are illustrated and the necessity of an interdisciplinary research approach is pointed out.

Cite as

Vladimir Batagelj, Bettina Hoser, Claudia Müller, Steffen Staab, and Gerd Stumme. 08391 Group Summary – The Evolution and Dynamics of Research Networks. In Social Web Communities. Dagstuhl Seminar Proceedings, Volume 8391, pp. 1-8, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2008)


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@InProceedings{batagelj_et_al:DagSemProc.08391.5,
  author =	{Batagelj, Vladimir and Hoser, Bettina and M\"{u}ller, Claudia and Staab, Steffen and Stumme, Gerd},
  title =	{{08391 Group Summary – The Evolution and Dynamics of Research  Networks}},
  booktitle =	{Social Web Communities},
  pages =	{1--8},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8391},
  editor =	{Harith Alani and Steffen Staab and Gerd Stumme},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08391.5},
  URN =		{urn:nbn:de:0030-drops-17906},
  doi =		{10.4230/DagSemProc.08391.5},
  annote =	{Keywords: Homophily networks, social networks, evolution, scientific community}
}
Document
Ontology Merging with Formal Concept Analysis

Authors: Gerd Stumme

Published in: Dagstuhl Seminar Proceedings, Volume 4391, Semantic Interoperability and Integration (2005)


Abstract
In this short paper, we summarize two methods for merging ontologies: FCA-Merge and OntEx. Both methods are based on Formal Concept Analysis.

Cite as

Gerd Stumme. Ontology Merging with Formal Concept Analysis. In Semantic Interoperability and Integration. Dagstuhl Seminar Proceedings, Volume 4391, pp. 1-5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)


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@InProceedings{stumme:DagSemProc.04391.15,
  author =	{Stumme, Gerd},
  title =	{{Ontology Merging with Formal Concept Analysis}},
  booktitle =	{Semantic Interoperability and Integration},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4391},
  editor =	{Y. Kalfoglou and M. Schorlemmer and A. Sheth and S. Staab and M. Uschold},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04391.15},
  URN =		{urn:nbn:de:0030-drops-493},
  doi =		{10.4230/DagSemProc.04391.15},
  annote =	{Keywords: Ontology Engineering , Ontology Merging , Formal Concept Analysis}
}
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