Test Sets

About

Test Sets are examples from computations in affine monoids, vector configurations, lattice polytopes, and rational cones. Such a computation yields, e.g., for a rational cone its Hilbert basis and other relevant invariants.

There is a close relation to Polynomial Systems Solving via different Toric concepts.

News

• 2015-04-06, Hans-Gert Gräbe replaced the old TestSets format completely by the new one, removed the old data, uploaded the new data to the RDF store at http://symbolicdata.org/Data and removed the old TestSets from the XMLResources directory, since it is superseded by the new TestSets data in the OtherResources directory.
• 2015-03-23, Tim Römer translated the old examples from the old to the new Testset format and added corresponding zip-files to the OtherResources/TestSets data base.
• 2015-03-13, Tim Römer supplied a first version of More Test Sets from the Normaliz Database
• 2014-06-07, We are discussing to join forces with the Normaliz-Group in Osnabrück (W. Bruns, Tim Römer)
  • Normaliz homepage: http://www.home.uni-osnabrueck.de/wbruns/normaliz/
  • Normaliz challenges: http://www.home.uni-osnabrueck.de/wbruns/normaliz/InterChallenge.html

Structure of the Data

See

• the (new) data as TestSets Knowledge Base in Turtle format and as Linked Data,
• the TestSets Resources in Normaliz format in the repository and
• TestSets.Ontology - an informal description of the (new) Ontology of the TestSets Knowledge Base developed so far.