Die Reduction der mechanischen Grundeinheiten auf eine einzige Dimension [PDF]
E. Budde
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ScInfoVAE: interpretable dimensional reduction of single cell transcription data with variational autoencoders and extended mutual information regularization. [PDF]
Pan W, Long F, Pan J.
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Spin-flux attachment by dimensional reduction of vortices
The description of a system of vortices in terms of dual fields provides a window to new phases of the system. It was found recently that dualizing a 3+1-d boson-fermion system leads to a system of fermions and vortices interacting via a 2-form field ...
Shantonu Mukherjee, Amitabha Lahiri
doaj
Dimensional Reduction for Single-Molecule Imaging of DNA and Nucleosome Condensation by Polyamines, HP1α and Ki-67. [PDF]
Benning NA+9 more
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Reduction of infinite dimensional equations
In this paper, we use the general Legendre transformation to show the infinite dimensional integrable equations can be reduced to a finite dimensional integrable Hamiltonian system on an invariant set under the flow of the integrable equations.
Zhongding Li, Taixi Xu
doaj
Riemannian joint dimensionality reduction and dictionary learning on symmetric positive definite manifold [PDF]
Dictionary leaning (DL) and dimensionality reduction (DR) are powerful tools to analyze high-dimensional noisy signals. This paper presents a proposal of a novel Riemannian joint dimensionality reduction and dictionary learning (R-JDRDL) on symmetric positive definite (SPD) manifolds for classification tasks.
arxiv
Dimensional reduction of nonlinear time delay systems
Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite ...
M. S. Fofana
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High temperature dimensional reduction in Snyder space
In this paper, we formulate the statistical mechanics in Snyder space that supports the existence of a minimal length scale. We obtain the corresponding invariant Liouville volume which properly determines the number of microstates in the semiclassical ...
K. Nozari, V. Hosseinzadeh, M.A. Gorji
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Symmetries of Einstein-Yang-Mills fields and dimensional reduction [PDF]
Robert Coquereaux, Arkadiusz Jadczyk
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Confining membranes and dimensional reduction [PDF]
14 pages, LaTeX2e, no ...
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