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Geometrical correlation indices using homological constructions on manifolds
(2018)
Abstract The course of dimensionality is a common problem in statistics and data
analysis. Variable sensitivity analysis methods are a well studied and established
set of tools designed to overcome these sorts of problems. ...
Geometrical correlation indices using homological constructions on manifolds
(2018)
Abstract The course of dimensionality is a common problem in statistics and data
analysis. Variable sensitivity analysis methods are a well studied and established
set of tools designed to overcome these sorts of problems. ...
Some remarks on Morse theory for posets, homological Morse theory and finite manifolds
(Elsevier Science, 2012-08)
We introduce a version of discrete Morse theory for posets. This theory studies the topology of the order complexes K(X) of h-regular posets X from the critical points of admissible matchings on X. Our approach is related ...
Are the mixtures of homologous surfactants ideal?
(Academic Press Inc Elsevier Science, 2006-11)
The interaction between homologous surfactants in mixed micelles was studied by the Regular Solution Theory of mixed micelles. The interaction is independent of the nature of the polar head groups and attractive and the ...
Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
(American Mathematical Society, 2020-02)
We describe how the Hochschild (co)homology of a bound quiver algebra changes when deleting or adding arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained ...
A geometric decomposition of spaces into cells of different types II: Homology theory
(Elsevier Science, 2008-10)
We develop the homology theory of CW (A)-complexes, generalizing the classical cellular homology theory for CW-complexes. A CW (A)-complex is a topological space which is built up out of cells of a certain core A.
METHODOLOGY FOR THE EXTRACTION OF HOMOLOGOUS POINTS FROM A DEM/DSM TO EVALUATE THE RELATIVE POSITIONAL ACCURACY
(Univ Federal Parana, Centro Politecnico, 2020-01-01)
This work presents a new methodology for extracting 3D homologous points from a DEM/DSM for relative evaluation of positional accuracies, from terrain features such as ridgelines and hydrography. Firstly, it extracts 3D ...