Results 21 to 30 of about 4,393,923 (290)
A Nonlinear Approach to Dimension Reduction
Discrete & Computational Geometry, 2011 The $l_2$ flattening lemma of Johnson and Lindenstrauss [JL84] is a powerful tool for dimension reduction. It has been conjectured that the target dimension bounds can be refined and bounded in terms of the intrinsic dimensionality of the data set (for example, the doubling dimension).
Lee-Ad Gottlieb, Robert Krauthgamer
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Dimension and Dimensional Reduction in Quantum Gravity
Universe, 2019 If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet fixed point in a way that makes the theory effectively two-dimensional.
Steven Carlip
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Application of Dimension Reduction Methods for Stress Detection
International Journal of Pioneering Technology and Engineering, 2023 Effective detection of stress situations plays an important role in combating it. This is the main source of motivation for research to identify and evaluate different psychological conditions.
Erhan Bergil
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Variable-Dependent Partial Dimension Reduction [PDF]
, 2023 Sufficient dimension reduction reduces the dimension of a regression model without loss of information by replacing the original predictor with its lower-dimensional linear combinations. Partial (sufficient) dimension reduction arises when the predictors
Yu, Zhou +7 more
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Aggregate Kernel Inverse Regression Estimation
Mathematics, 2023 Sufficient dimension reduction (SDR) is a useful tool for nonparametric regression with high-dimensional predictors. Many existing SDR methods rely on some assumptions about the distribution of predictors. Wang et al.
Wenjuan Li +3 more
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Principal subbundles for dimension reduction
CoRR, 2023 In this paper we demonstrate how sub-Riemannian geometry can be used for manifold learning and surface reconstruction by combining local linear approximations of a point cloud to obtain lower dimensional bundles. Local approximations obtained by local PCAs are collected into a rank $k$ tangent subbundle on $\mathbb{R}^d ...
Akhøj, Morten +4 more
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A novel three-dimensional strapping reduction for the treatment of patellar fractures
Journal of Orthopaedic Surgery and Research, 2019 Objective This study aimed to investigate the effectiveness of a three-dimensional strapping reduction in the treatment of patellar fractures. Methods Between January 2015 and June 2017, a total of 56 patients were randomly allocated to the three ...
Wei Jiang +4 more
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A Short Review on Minimum Description Length: An Application to Dimension Reduction in PCA
Entropy, 2022 The minimun description length (MDL) is a powerful criterion for model selection that is gaining increasing interest from both theorists and practicioners.
Vittoria Bruni +2 more
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An effective framework for supervised dimension reduction [PDF]
, 2014 We consider supervised dimension reduction (SDR) for problems with discrete inputs. Existing methods are computationally expensive, and often do not take the local structure of data into consideration when searching for a low-dimensional space.
Khoat Than +5 more
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Spectral Dimension Reduction of Complex Dynamical Networks
Physical Review X, 2019 Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve (nodes ...
Edward Laurence +3 more
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