Results 61 to 70 of about 8,286,998 (397)
Dynamics of dimensional reduction
Physics Letters B, 1980 In d-dimensional unified theories that, along with gravity, contain an antisymmetric tensor field of rank s-1, preferential compactification of d-s or of s space-like dimensions is found to occur. This is the case in 11-dimensional supergravity where s = 4.
Mark A. Rubin, Peter G. O. Freund
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Stochastic inflation and dimensional reduction [PDF]
Physical Review D, 2008 4 pages, 1 figure; v2: minor changes; v3: revised and ...
Kuehnel, Florian, Schwarz, Dominik
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Geometric and Non-Geometric Compactifications of IIB Supergravity [PDF]
JHEP0812:043,2008, 2006 Complimentary geometric and non-geometric consistent reductions of IIB supergravity are studied. The geometric reductions on the identified group manifold X are found to have a gauge symmetry with Lie algebroid structure, generalising that found in similar reductions of the Bosonic string theory and eleven-dimensional supergravity.
arxiv +1 more source
Improving Dimensionality Reduction Projections for Data Visualization
Applied Sciences, 2023 In data science and visualization, dimensionality reduction techniques have been extensively employed for exploring large datasets. These techniques involve the transformation of high-dimensional data into reduced versions, typically in 2D, with the aim ...
Bardia Rafieian +2 more
doaj +1 more source
On Pauli Reductions of Supergravities in Six and Five Dimensions [PDF]
Phys. Rev. D 98, 046010 (2018), 2018 The dimensional reduction of a generic theory on a curved internal space such as a sphere does not admit a consistent truncation to a finite set of fields that includes the Yang-Mills gauge bosons of the isometry group. In rare cases, for example the $S^7$ reduction of eleven-dimensional supergravity, such a consistent "Pauli reduction" does exist.
arxiv +1 more source
Limitations on quantum dimensionality reduction [PDF]
International Journal of Quantum Information, 2011 The Johnson–Lindenstrauss Lemma is a classic result which implies that any set of n real vectors can be compressed to O( log n) dimensions while only distorting pairwise Euclidean distances by a constant factor. Here we consider potential extensions of this result to the compression of quantum states. We show that, by contrast with the classical case,
Harrow, Aram W. +2 more
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Dynamics of coset dimensional reduction [PDF]
Physical Review D, 2006 The evolution of multiple scalar fields in cosmology has been much studied, particularly when the potential is formed from a series of exponentials. For a certain subclass of such systems it is possible to get `assisted` behaviour, where the presence of multiple terms in the potential effectively makes it shallower than the individual terms indicate ...
Josef L. P. Karthauser +2 more
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Dimensionality reduction method for hyperspectral image analysis based on rough set theory
European Journal of Remote Sensing, 2020 High-dimensional features often cause computational complexity and dimensionality curse. Feature selection and feature extraction are the two mainstream methods for dimensionality reduction.
Zhenhua Wang +5 more
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Non-Redundant Spectral Dimensionality Reduction
, 2017 Spectral dimensionality reduction algorithms are widely used in numerous domains, including for recognition, segmentation, tracking and visualization.
A Brun +26 more
core +1 more source
Visualizing the quality of dimensionality reduction [PDF]
Neurocomputing, 2013 The growing number of dimensionality reduction methods available for data visualization has recently inspired the development of formal measures to evaluate the resulting low-dimensional representation independently from the methods' inherent criteria. Many evaluation measures can be summarized based on the co-ranking matrix.
Mokbel, Bassam +3 more
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