Total least squares problems on infinite dimensional spaces
Sign Up to like & getrecommendations! Published in 2020 at "Inverse Problems"
DOI: 10.1088/1361-6420/abe3dd
Abstract: We study weighted total least squares problems on infinite dimensional spaces. We present some necessary and sufficient conditions for the regularized problem to have a solution. The existence of solution can also be assured for… read more here.
Keywords: total least; least squares; problems infinite; squares problems ... See more keywords
Computation of Centroidal Voronoi Tessellations in High Dimensional Spaces
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3185032
Abstract: Owing to the natural interpretation and various desirable mathematical properties, centroidal Voronoi tessellations (CVTs) have found a wide range of applications and correspondingly a vast development in their literature. However, the computation of CVTs in… read more here.
Keywords: computation; spaces computation; voronoi tessellations; centroidal voronoi ... See more keywords
Calculating Hausdorff Dimension in Higher Dimensional Spaces
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DOI: 10.3390/sym11040564
Abstract: In this paper, we prove the identity dim H(F) = d dim H(a?1(F)), where dim H denotesHausdorff dimension, F Rd, and a : [0, 1] ! [0, 1]d is a function whose constructive definition isaddressed… read more here.
Keywords: hausdorff dimension; higher dimensional; dimensional spaces; calculating hausdorff ... See more keywords
Clifford Odd and Even Objects in Even and Odd Dimensional Spaces Describing Internal Spaces of Fermion and Boson Fields
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DOI: 10.3390/sym15040818
Abstract: In a long series of works, it has been demonstrated that the spin-charge-family theory, assuming a simple starting action in even dimensional spaces with d≥(13+1), with massless fermions interacting with gravity only, offers the explanation… read more here.
Keywords: internal spaces; fermion boson; dimensional spaces; boson fields ... See more keywords