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Classification of Imbalanced Data by Oversampling in Kernel Space of Support Vector Machines

IEEE Transactions on Neural Networks and Learning Systems, 2018
Historical data sets for fault stage diagnosis in industrial machines are often imbalanced and consist of multiple categories or classes. Learning discriminative models from such data sets is challenging due to the lack of representative data and the ...
Josey Mathew   +3 more
semanticscholar   +1 more source

Topological Vector Spaces [PDF]

open access: possible, 1982
Vector spaces will be considered as vector spaces over ℂ unless something else is specified. The symbols Hom(X, Y) resp. Sur(X, Y) will be reserved for sets of continuous homomorphisms resp. surjective homomor-phisms; End(X) is the set of continuous endomorphisms and Aut(E) is the set of continuous automorphisms (bijective and bicontinuous ...
openaire   +1 more source

Partitions of vector spaces

Periodica Mathematica Hungarica, 1994
For \(\sigma\), a system of homogeneous linear equations over \(Q\), the rationals, \(\lambda(\sigma)\) is the minimal dimension of a vector space every \(\omega\)-decomposition of which has a solution in some part. If \(\lambda (\sigma)\) exists, it is smaller than \(\exp_ \omega (\omega)\). If \(\lambda(\sigma) \leq 2^ \omega\), then \(\lambda(\sigma)
Péter Komjáth, Péter Komjáth
openaire   +2 more sources

On paratopological vector spaces

Acta Mathematica Hungarica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carmen Alegre, Salvador Romaguera
openaire   +2 more sources

Optimizing Ontology Alignment in Vector Space

, 2020
S. Chu   +3 more
semanticscholar   +1 more source

A circular vector space

The Mathematical Gazette, 1976
This note describes an example which I have found useful for introducing ideas in linear algebra and group theory. It is simple and yet it is neither trivial nor too abstract.
openaire   +3 more sources

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2023
Hans-Curt Flemming   +2 more
exaly  

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
exaly  

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