Building Efficient Deep Neural Networks With Unitary Group Convolutions [PDF]
Computer Vision and Pattern Recognition, 2018 We propose unitary group convolutions (UGConvs), a building block for CNNs which compose a group convolution with unitary transforms in feature space to learn a richer set of representations than group convolution alone.
Ritchie Zhao +4 more
semanticscholar +1 more source
Journal of the Mathematical Society of Japan, 2020 Relying on the main results of [Guralnick-Tiep], we classify all unitary $t$-groups for $t \geq 2$ in any dimension $d \geq 2$. We also show that there is essentially a unique unitary $4$-group, which is also a unitary $5$-group, but not a unitary $t$-group for any $t \geq 6$.
BANNAI, Eiichi +3 more
openaire +4 more sources
Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)
Axioms, 2023 The paper shows that it is possible to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group SUh(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type.
Nikolay Popov, Ivan Matveev
doaj +1 more source
Validation of a novel imaging-guided and anatomy-based classification system for anorectal fistulas: a retrospective clinical evaluation study [PDF]
Annals of ColoproctologyPurpose This study was conducted to evaluate the validity of a new imaging-guided, anatomy-based classification of anorectal fistulas in defining disease severity and predicting surgical outcomes.
Antonio Brillantino +38 more
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Deformations of polyhedra and polygons by the unitary group [PDF]
, 2013 We introduce the set of framed (convex) polyhedra with N faces as the symplectic quotient C2N// SU (2). A framed polyhedron is then parametrized by N spinors living in C2 satisfying suitable closure constraints and defines a usual convex polyhedron plus ...
E. Livine
semanticscholar +1 more source
The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
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Cocycles for Boson and Fermion Bogoliubov Transformations [PDF]
, 1993 Unitarily implementable Bogoliubov transformations for charged, relativistic bos\-ons and fermions are discussed, and explicit formulas for the 2-cocycles appearing in the group product of their implementers are derived. In the fermion case this provides
Langmann, Edwin
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Exploring Information communication Technology-enabled travel Pattern in a city region of India
International Journal of Urban Sustainable Development, 2023 Information and Communication Technology (ICT) is advocated to contribute to sustainable transportation by prompting a change in travel patterns. Therefore, using an ICT-enabled city region in India as the study context, the objectives of the study were ...
Dillip Kumar Das +2 more
doaj +1 more source
On the cohomology of compact unitary group Shimura varieties at ramified split places [PDF]
, 2011 In this article, we prove results about the cohomology of compact unitary group Shimura varieties at split places. In nonendoscopic cases, we are able to give a full description of the cohomology, after restricting to integral Hecke operators at p on the
P. Scholze, S. Shin
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Extended Poincar\'e supersymmetry in three dimensions and supersymmetric anyons [PDF]
, 2012 We classify the unitary representations of the extended Poincar\'e supergroups in three dimensions. Irreducible unitary representations of any spin can appear, which correspond to supersymmetric anyons.
A. Tureanu +6 more
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