A Categorical Data Model, Equivalence, Integral Invariants

Tracking #: 517-1497

Authors:
NameORCID
Gennadii KondratievORCID logo https://orcid.org/0000-0001-8676-3970


Submission Type: 

Research Paper

Abstract: 

The paper introduces a category of data sets where the equivalence problem can be stated. A background measure on the parameter space makes the problem well-defined. Without it all the data are equivalent. Above the standard induced measure on the parameter space the use of a phase portrait of trajectories of growing density as an internal feature of the data object is suggested. To distinguish or possibly identify two data sets a set of integral invariants is proposed.

Manuscript: 

Tags: 

  • Reviewed

Data repository URLs: 

none

Date of Submission: 

Wednesday, August 30, 2017

Date of Decision: 

Thursday, August 31, 2017

Decision: 

Reject (Pre-Screening)