Results 41 to 50 of about 647,667 (335)
Neighbors-Based Graph Construction for Dimensionality Reduction
IEEE Access, 2019 Dimensionality reduction is a fundamental task in the field of data mining and machine learning. In many scenes, examples in high-dimensional space usually lie on low-dimensional manifolds; thus, learning the low-dimensional embedding is important.
Hui Tian +3 more
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AN ALTERNATIVE DIMENSIONAL REDUCTION PRESCRIPTION [PDF]
Modern Physics Letters A, 1996 We propose an alternative dimensional reduction prescription which in respect with Green functions corresponds to dropping the extra spatial coordinate. From this, we construct the dimensionally reduced Lagrangians both for scalars and fermions, discussing bosonization and supersymmetry in the particular two-dimensional case.
Edelstein Glaubach, José Daniel +3 more
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Dimensionality reduction of complex dynamical systems
iScience, 2021 Summary: One of the outstanding problems in complexity science and engineering is the study of high-dimensional networked systems and of their susceptibility to transitions to undesired states as a result of changes in external drivers or in the ...
Chengyi Tu +2 more
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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
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
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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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
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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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