Results 11 to 20 of about 8,023,314 (274)
Dimensionality Reduction with Image Data [PDF]
A common objective in image analysis is dimensionality reduction. The most common often used data-exploratory technique with this objective is principal component analysis. We propose a new method based on the projection of the images as matrices after a Procrustes rotation and show that it leads to a better reconstruction of images.
Peña, Daniel, Benito, Mónica
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Shape-aware stochastic neighbor embedding for robust data visualisations
Background The t-distributed Stochastic Neighbor Embedding (t-SNE) algorithm has emerged as one of the leading methods for visualising high-dimensional (HD) data in a wide variety of fields, especially for revealing cluster structure in HD single-cell ...
Tobias Wängberg+2 more
doaj +1 more source
DIMENSIONAL REDUCTION ON A SPHERE [PDF]
The question of the dimensional reduction of two-dimensional (2d) quantum models on a sphere to one-dimensional (1d) models on a circle is addressed. A possible application is to look at a relation between the 2d anyon model and the 1d Calogero–Sutherland model, which would allow for a better understanding of the connection between 2d anyon exchange ...
Moller, Gunnar+2 more
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Dimensionality reduction using singular vectors
A common problem in machine learning and pattern recognition is the process of identifying the most relevant features, specifically in dealing with high-dimensional datasets in bioinformatics.
Majid Afshar, Hamid Usefi
doaj +1 more source
Dimensionality reduction in Bayesian estimation algorithms [PDF]
An idealized synthetic database loosely resembling 3-channel passive microwave observations of precipitation against a variable background is employed to examine the performance of a conventional Bayesian retrieval algorithm.
G. W. Petty
doaj +1 more source
Dimensionality Reduction in Surrogate Modeling: A Review of Combined Methods
Surrogate modeling has been popularized as an alternative to full-scale models in complex engineering processes such as manufacturing and computer-assisted engineering.
Chun Kit Jeffery Hou, K. Behdinan
semanticscholar +1 more source
Dimensional reduction in the sky [PDF]
We explore the cosmological implications of a mechanism found in several approaches to quantum-gravity, whereby the spectral dimension of spacetime runs from the standard value of 4 in the infrared (IR) to a smaller value in the ultraviolet (UV). Specifically, we invoke the picture where the phenomenon is associated with modified dispersion relations ...
João Magueijo+4 more
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Deformed dimensional reduction
Since its first use by Behrend, Bryan, and Szendrői in the computation of motivic Donaldson-Thomas (DT) invariants of $\mathbb{A}_{\mathbb{C}}^3$, dimensional reduction has proved to be an important tool in motivic and cohomological DT theory. Inspired by a conjecture of Cazzaniga, Morrison, Pym, and Szendrői on motivic DT invariants, work of ...
Davison, Ben, Pădurariu, Tudor
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Dimensionality Reduction and Classification of Hyperspectral Remote Sensing Image Feature Extraction
Terrain classification is an important research direction in the field of remote sensing. Hyperspectral remote sensing image data contain a large amount of rich ground object information.
Hongda Li+4 more
semanticscholar +1 more source
On the dimensional reduction procedure [PDF]
15 pages, Latex, enlarged discussion added in Sec 3 and typos corrected. Version to appear in Nucl.
Cognola, Guido, Zerbini, Sergio
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