Works Published in 2021
Displaying works 201 - 207 of 207 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2021 journal article
Fermionic realization of twisted toroidal Lie algebras
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(08).
author keywords: Lie algebras; toroidal Lie algebras; Dynkin diagram automorphisms; fermionic realization
arxiv.org (repository)
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: July 11, 2020
2021 journal article
Regression Models for Compositional Data: General Log-Contrast Formulations, Proximal Optimization, and Microbiome Data Applications
Statistics in Biosciences, 13(2), 217–242.
author keywords: Compositional data; Convex optimization; Log-contrast model; Microbiome; Perspective function; Proximal algorithm
TL;DR:
A general convex optimization model for linear log-contrast regression which includes many previous proposals as special cases is proposed and a proximal algorithm is introduced that solves the resulting constrained optimization problem exactly with rigorous convergence guarantees.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: July 6, 2020
2021 journal article
A Neural Network-Based Policy Iteration Algorithm with Global H-2-Superlinear Convergence for Stochastic Games on Domains
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 21(2), 331–374.
author keywords: Hamilton-Jacobi-Bellman-Isaacs equations; Neural networks; Policy iteration; Inexact semismooth Newton method; Global convergence; q-superlinear convergence
TL;DR:
It is established that the numerical solutions converge globally in the H2, and it is demonstrated that this convergence is superlinear, by interpreting the algorithm as an inexact Newton iteration for the HJBI equation.
(via Semantic Scholar)
Source: Web Of Science
Added: June 8, 2020
2021 journal article
Poincare Series of Relative Symmetric Invariants for SLn(C)
ALGEBRAS AND REPRESENTATION THEORY, 24(3), 601–623.
author keywords: Symmetric algebra; Poincare series; McKay-Slodowy correspondence; Invariants; Quantum Cartan matrix
Source: Web Of Science
Added: May 26, 2020
2021 journal article
Metric entropy for functions of bounded total generalized variation
SIAM J. Math. Anal.
Source: ORCID
Added: April 22, 2020
2021 journal article
Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation
SCIENCE CHINA-MATHEMATICS, 64(6), 1181–1200.
author keywords: Moody-Rao-Yokonuma presentation; loop algebra; universal central extension; extended affine Lie algebra
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Source: Web Of Science
Added: April 6, 2020
2021 journal article
Sensitivity analysis and uncertainty quantification of 1-D models of pulmonary hemodynamics in mice under control and hypertensive conditions
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 37(11).
author keywords: computational fluid dynamics; network models; pulmonary hypertension; sensitivity analysis; uncertainty quantification
MeSH headings : Animals; Bayes Theorem; Hemodynamics; Mice; Pulmonary Artery; Uncertainty; X-Ray Microtomography
TL;DR:
Results show that MPA pressure predictions are most sensitive to distal vascular resistance and that parameter influence changes with increasing network complexity, and suggest that PH leads to increased vascular stiffness and decreased peripheral compliance, congruent with clinical observations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: September 30, 2019
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