Results 31 to 40 of about 361,243 (290)

A Local-to-Global Metric Learning Framework From the Geometric Insight

IEEE Access, 2020
Metric plays a key role in the description of similarity between samples. An appropriate metric for data can well represent their distribution and further promote the performance of learning tasks.
Yaxin Peng, Nijing Zhang, Ying Li, Shihui Ying   +3 more
doaj   +1 more source

Structure in space of hyperplane element with special metrics

Lietuvos Matematikos Rinkinys, 2010
The present work analyses intrinsic antiquaternionic structures of metric hyperplane elements. Spaces of metric hyperplane elements is Cartan space generalisation.
Edmundas Mazėtis
doaj   +1 more source

Invariant torsion and G2-metrics

Complex Manifolds, 2015
We introduce and study a notion of invariant intrinsic torsion geometrywhich appears, for instance, in connection with the Bryant-Salamon metric on the spinor bundle over S3. This space is foliated by sixdimensional hypersurfaces, each of which carries a
Conti Diego, Madsen Thomas Bruun
doaj   +1 more source

On Asymmetric Distances

Analysis and Geometry in Metric Spaces, 2013
In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length.
Mennucci Andrea C.G.
doaj   +1 more source

Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation

Fractal and Fractional, 2019
In recent years, intrinsic metrics have been described on various fractals with different formulas. The Sierpinski gasket is given as one of the fundamental models which defined the intrinsic metrics on them via the code representations of the points. In
Melis Güneri, Mustafa Saltan
doaj   +1 more source

On the classification of type D spacetimes [PDF]

, 2002
We give a classification of the type D spacetimes based on the invariant differential properties of the Weyl principal structure. Our classification is established using tensorial invariants of the Weyl tensor and, consequently, besides its intrinsic ...
Barnes A., Bel L., Bel L., Coll B., Coll B., Ferrando J. J., Ferrando J. J., Ferrando J. J., Joan Josep Ferrando, Juan Antonio Sáez, Lozanovski C., Mars M., McIntosh C. B. G., Montesinos A., Naveira A. M., Reinhart B., Van der Bergh N.   +16 more
core   +2 more sources

Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature

Analysis and Geometry in Metric Spaces, 2019
We prove distance bounds for graphs possessing positive Bakry-Émery curvature apart from an exceptional set, where the curvature is allowed to be non-positive.
Liu Shiping, Münch Florentin, Peyerimhoff Norbert, Rose Christian   +3 more
doaj   +1 more source

A Pseudopolynomial Algorithm for Alexandrov's Theorem [PDF]

, 2008
Alexandrov's Theorem states that every metric with the global topology and local geometry required of a convex polyhedron is in fact the intrinsic metric of a unique convex polyhedron.
A.D. Alexandrov, E.D. Demaine, E.D. Demaine, I. Sabitov, I. Sabitov, J.S.B. Mitchell, M. Fedorchuk   +6 more
core   +3 more sources

On the geometry on special spaces of hyperplane elemente

Lietuvos Matematikos Rinkinys, 2007
In this paper analystes metric space of hyperplane elemente with special metric. Is prowed, that in such spaces intrinsic almost complex and almost product structures exists, criteria of its integrability and associated connections established.
Edmundas Mazėtis
doaj   +1 more source

On the geometry spaces of hyperlane elemente with special metric

Lietuvos Matematikos Rinkinys, 2008
In this paper analysies metric space of hyperlane elemente with special metric. Is prowed, that the space Kartan–Landsbeg space is. Criteria of integrability of the intrinsic almost complex and almost product structures is found.
Edmundas Mazėtis
doaj   +1 more source