Results 31 to 40 of about 647,667 (335)
Equivalence of dimensional reduction and dimensional regularisation [PDF]
Zeitschrift für Physik C Particles and Fields, 1994 For some years there has been uncertainty over whether regularisation by dimensional reduction (DRED) is viable for non-supersymmetric theories. We resolve this issue by showing that DRED is entirely equivalent to standard dimensional regularisation (DREG), to all orders in perturbation theory and for a general renormalisable theory.
I. Jack, D.R.T. Jones, K. Roberts
openaire +3 more sources
Dimensionality reduction of clustered data sets [PDF]
, 2008 We present a novel probabilistic latent variable model to perform linear dimensionality reduction on data sets which contain clusters. We prove that the maximum likelihood solution of the model is an unsupervised generalisation of linear discriminant ...
Sanguinetti, G.
core +2 more sources
Dimensionality reduction by LPP‐L21
IET Computer Vision, 2018 Locality preserving projection (LPP) is one of the most representative linear manifold learning methods and well exploits intrinsic structure of data. However, the performance of LPP remarkably degenerate in the presence of outliers.
Shujian Wang +3 more
doaj +1 more source
Factorization and regularization by dimensional reduction [PDF]
Physics Letters B, 2005 Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg->ttbar and show that the factorization problem can be completely resolved.
Signer, A., Stöckinger, D.
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Spontaneous dimensional reduction? [PDF]
AIP Conference Proceedings, 2012 To appear in Proc.
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Proximities in dimensionality reduction
, 2022 Dimensionality reduction aims at representing high-dimensional data in a lower-dimensional representation, while preserving their structure (clusters, outliers, manifold). Dimensionality reduction can be used for exploratory data visualization, data compression, or as a preprocessing to some other analysis in order to alleviate the curse of ...
Lee, John Aldo +3 more
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Manifold Elastic Net: A Unified Framework for Sparse Dimension Reduction [PDF]
, 2010 It is difficult to find the optimal sparse solution of a manifold learning based dimensionality reduction algorithm. The lasso or the elastic net penalized manifold learning based dimensionality reduction is not directly a lasso penalized least square ...
A D’aspremont +40 more
core +1 more source
Note About Null Dimensional Reduction of M5-Brane [PDF]
arXiv, 2021 In this short note we study null dimensional reduction of M5-brane covariant action. We analyse longitudinal dimensional reduction that leads to non-relativistic D4-brane and transverse reduction that leads to NS5-brane in non-relativistic string theory.
arxiv
Using Dimensional Reduction for Hadronic Collisions [PDF]
Nucl.Phys.B808:88-120,2009, 2008 We discuss how to apply regularization by dimensional reduction for computing hadronic cross sections at next-to-leading order. We analyze the infrared singularity structure, demonstrate that there are no problems with factorization, and show how to use dimensional reduction in conjunction with standard parton distribution functions.
arxiv +1 more source
Genome Biology, 2019 Background Dimensionality reduction is an indispensable analytic component for many areas of single-cell RNA sequencing (scRNA-seq) data analysis. Proper dimensionality reduction can allow for effective noise removal and facilitate many downstream ...
Shiquan Sun +3 more
doaj +1 more source