Gauge field corrections to 11-dimensional supergravity via dimensional reduction [PDF]
, 2017 Using the fact that eleven-dimensional supergravity yields type IIA supergravity under dimensional reduction on a circle, we determine higher-derivative terms of 11-dimensional supergravity including the $ R^4 $, $ ({\partial {F_4}})^2 R^2 $ and $ ({\partial {F_4}})^4 $ terms.
arxiv +1 more source
Dimensionality reduction for visualizing single-cell data using UMAP
Nature Biotechnology, 2018 Advances in single-cell technologies have enabled high-resolution dissection of tissue composition. Several tools for dimensionality reduction are available to analyze the large number of parameters generated in single-cell studies. Recently, a nonlinear
E. Becht +7 more
semanticscholar +1 more source
A Visual Interaction Framework for Dimensionality Reduction Based Data Exploration [PDF]
arXiv, 2018 Dimensionality reduction is a common method for analyzing and visualizing high-dimensional data. However, reasoning dynamically about the results of a dimensionality reduction is difficult. Dimensionality-reduction algorithms use complex optimizations to reduce the number of dimensions of a dataset, but these new dimensions often lack a clear relation ...
arxiv
Homology-Preserving Dimensionality Reduction via Manifold Landmarking and Tearing [PDF]
arXiv, 2018 Dimensionality reduction is an integral part of data visualization. It is a process that obtains a structure preserving low-dimensional representation of the high-dimensional data. Two common criteria can be used to achieve a dimensionality reduction: distance preservation and topology preservation. Inspired by recent work in topological data analysis,
arxiv
Dimensionality Reduction Algorithms on High Dimensional Datasets
Emitter: International Journal of Engineering Technology, 2014 Classification problem especially for high dimensional datasets have attracted many researchers in order to find efficient approaches to address them. However, the classification problem has become very complicatedespecially when the number of possible ...
Iwan Syarif
doaj +3 more sources
Thermal dimensional reduction and black hole evaporation
Physics Letters B, 2021 We analyze how a quantum-gravity-induced change in the number of thermal dimensions (through a modified dispersion relation) affects the geometry and the thermodynamics of a charged black hole.
I.P. Lobo, G.B. Santos
doaj
Understanding the evolution of double perovskite band structure upon dimensional reduction. [PDF]
Chem Sci, 2023 Connor BA +4 more
europepmc +1 more source
On the existence of infinite-dimensional generalized harish-chandra modules [PDF]
arXiv, 2018 We prove a general existence result for infinite-dimensional admissible (g;k)-modules, where g is a reductive finite-dimensional complex Lie algebra and k is a reductive in g algebraic subalgebra.
arxiv
Planck-scale dimensional reduction without a preferred frame
Physics Letters B, 2014 Several approaches to quantum gravity suggest that the standard description of spacetime as probed at low-energy, with four dimensions, is replaced in the Planckian regime by a spacetime with a spectral dimension of two. The implications for relativistic
Giovanni Amelino-Camelia +3 more
doaj +1 more source
Die Reduction der mechanischen Grundeinheiten auf eine einzige Dimension [PDF]
, 1883 E. Budde
openalex +1 more source