Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2018)161
Abstract: A bstractThe problem of scheme and gauge dependence of the factorization property of the renormalization group β-function in the SU(Nc) QCD generalized Crewther relation (GCR), which connects the flavor non-singlet contributions to the Adler and… read more here.
Keywords: gauge; factorization; renormalization; scheme ... See more keywords
QCD factorization for the four-body leptonic B-meson decays
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DOI: 10.1007/jhep02(2022)141
Abstract: Abstract Employing the QCD factorization formalism we compute $$ {B}_u^{-}\to {\gamma}^{\ast}\mathrm{\ell}{\overline{v}}_{\mathrm{\ell}} $$ B u − → γ ∗ ℓ v ¯ ℓ form factors with an off-shell photon state possessing the virtuality of order mb… read more here.
Keywords: four body; mathrm ell; body leptonic; factorization ... See more keywords
Examination of kt-factorization in a Yukawa theory
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DOI: 10.1007/jhep04(2024)085
Abstract: We discuss the upper limit, kmax, of the transverse-momentum integration performed in the kt-factorization formula. Based on explicit calculations in the Yukawa theory and the study of seminal papers, we argue that kmax is equal… read more here.
Keywords: factorization; document; yukawa theory; usepackage ... See more keywords
An efficient solution of real-time data processing for multi-GNSS network
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DOI: 10.1007/s00190-017-1095-x
Abstract: Global navigation satellite systems (GNSS) are acting as an indispensable tool for geodetic research and global monitoring of the Earth, and they have been rapidly developed over the past few years with abundant GNSS networks,… read more here.
Keywords: multi gnss; data processing; real time; gnss ... See more keywords
Hyper-graph regularized discriminative concept factorization for data representation
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DOI: 10.1007/s00500-017-2636-1
Abstract: For the tasks of pattern analysis and recognition, nonnegative matrix factorization and concept factorization (CF) have attracted much attention due to its effective application to find the meaningful low-dimensional representation of data. However, they neglect… read more here.
Keywords: graph regularized; factorization; hyper graph; concept factorization ... See more keywords
Building a completely positive factorization
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DOI: 10.1007/s10100-017-0499-2
Abstract: A symmetric matrix of order n is called completely positive if it has a symmetric factorization by means of a rectangular matrix with n columns and no negative entries (a so-called cp factorization), i.e., if… read more here.
Keywords: dimension; positive factorization; factorization; matrix ... See more keywords
A Relative Monotone-Light Factorization System for Internal Groupoids
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DOI: 10.1007/s10485-018-9515-5
Abstract: Given an exact category $${\mathcal {C}}$$C, it is well known that the connected component reflector $$ \pi _0 :\mathsf {Gpd}(\mathcal {C}) \rightarrow \mathcal {C}$$π0:Gpd(C)→C from the category $$\mathsf {Gpd}(\mathcal {C})$$Gpd(C) of internal groupoids in $$\mathcal… read more here.
Keywords: monotone light; factorization; light factorization; factorization system ... See more keywords
On solving a revised model of the nonnegative matrix factorization problem by the modified adaptive versions of the Dai–Liao method
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DOI: 10.1007/s11075-024-01886-w
Abstract: We suggest a revised form of a classic measure function to be employed in the optimization model of the nonnegative matrix factorization problem. More exactly, using sparse matrix approximations, the revision term is embedded to… read more here.
Keywords: matrix; factorization; model nonnegative; dai liao ... See more keywords
Factorization in SL∞
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DOI: 10.1007/s11856-018-1719-8
Abstract: We show that the non-separable Banach space SL∞ is primary. This is achieved by directly solving the infinite-dimensional factorization problem in SL∞. In particular, we bypass Bourgain’s localization method. read more here.
Keywords: factorization;
Accelerated SVD-based initialization for nonnegative matrix factorization
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DOI: 10.1007/s40314-024-02905-1
Abstract: Nonnegative matrix factorization (NMF) is a popular dimensionality reduction technique. NMF is typically cast as a non-convex optimization problem solved via standard iterative schemes, such as coordinate descent methods. Hence the choice of the initialization… read more here.
Keywords: matrix; factorization; svd based; matrix factorization ... See more keywords
Formal Factorization of Higher Order Irregular Linear Differential Operators
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DOI: 10.1007/s40598-019-00104-z
Abstract: We study the problem of formal decomposition (non-commutative factorization) of linear ordinary differential operators over the field $${{\mathbb {C}}}(\!(t)\!)$$C((t)) of formal Laurent series at an irregular singular point corresponding to $$t=0$$t=0. The solution (given in… read more here.
Keywords: formal factorization; factorization higher; order; factorization ... See more keywords