Results 31 to 40 of about 347,643 (299)
Quantum-Inspired Hierarchy for Rank-Constrained Optimization
PRX Quantum, 2022 Many problems in information theory can be reduced to optimizations over matrices, where the rank of the matrices is constrained. We establish a link between rank-constrained optimization and the theory of quantum entanglement.
Xiao-Dong Yu +3 more
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HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2003 AbstractWe consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz–Krieger algebras. We describe a variant of the Cuntz–Krieger relations which applies to graphs with sources, and describe a local convexity condition which characterizes the higher-rank graphs that admit a non-trivial Cuntz–Krieger family.
Raeburn, Iain, Sims, Aidan, Yeend, Trent
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THE ANALYTIC ALGEBRAS OF HIGHER RANK GRAPHS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2006 The authors consider a class of non-selfadjoint operator algebras arising from higher rank graphs and their norm closed subalgebras. In addition, eigenvalues, reflexivity, hyper-reflexivity and semisimplicity of the higher rank semigroupoid algebras are examined.
Kribs, David W., Power, Stephen C.
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Kumjian-Pask algebras of higher-rank graphs [PDF]
Transactions of the American Mathematical Society, 2013 We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras, and analyze their ideal structure.
Aranda Pino, Gonzalo +3 more
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A Method to Learn Embedding of a Probabilistic Medical Knowledge Graph: Algorithm Development
JMIR Medical Informatics, 2020 BackgroundKnowledge graph embedding is an effective semantic representation method for entities and relations in knowledge graphs. Several translation-based algorithms, including TransE, TransH, TransR, TransD, and TranSparse, have been proposed to learn
Li, Linfeng +8 more
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Visualizing ordered bivariate data on node-link diagrams
Visual Informatics, 2023 Node-link visual representation is a widely used tool that allows decision-makers to see details about a network through the appropriate choice of visual metaphor.
Osman Akbulut +4 more
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The dissemination of scientific research in Peru: Implications in higher education
Biblios, 2020 Objective. This study aims to explore the production of Peruvian researchers, analyzing the status of their publications and their impact on higher education. Method.
Israel Barrutia Barreto +3 more
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Magnitude of COVID-19 deaths relative to other leading causes of death: a global analysis
BMJ Open, 2022 Objectives To quantify the burden of death that COVID-19 contributes relative to the top three causes of death for all countries.Design We performed uncertainty analyses and created contour plots for COVID-19 mortality to place the number of COVID-19 ...
Janet Martin +2 more
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BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2018 AbstractWe define branching systems for finitely aligned higher-rank graphs. From these, we construct concrete representations of higher-rank graph C*-algebras on Hilbert spaces. We prove a generalized Cuntz–Krieger uniqueness theorem for periodic single-vertex 2-graphs.
Gonçalves, Daniel +2 more
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Land, 2022 Urban agglomeration is a higher stage of urban development. Exploring the spatial correlation of functional areas is important for promoting high-quality urban development. However, recently the research on urban functional areas is mainly focused on how
Tianle Li +4 more
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