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Works (9)
Updated: April 4th, 2024 17:48
2018 journal article
Gromov's theorem in n-symplectic geometry on LRn
JOURNAL OF MATHEMATICAL PHYSICS, 59(5).
Source: Web Of Science
Added: August 6, 2018
2017 journal article
On the n-symplectic structure of faithful irreducible representations
JOURNAL OF MATHEMATICAL PHYSICS, 58(4).
Source: Web Of Science
Added: August 6, 2018
2012 journal article
Human Activity as a Manifold-Valued Random Process
IEEE TRANSACTIONS ON IMAGE PROCESSING, 21(8), 3416–3428.
author keywords: Activity recognition; parallel transport; shape manifold; stationary incremental process; stochastic development
MeSH headings : Actigraphy / methods; Algorithms; Artificial Intelligence; Computer Simulation; Data Interpretation, Statistical; Humans; Image Interpretation, Computer-Assisted / methods; Models, Biological; Models, Statistical; Motor Activity / physiology; Reproducibility of Results; Sensitivity and Specificity; Whole Body Imaging / methods
TL;DR:
This work effectively bridges the nonlinear modeling of human activity on a nonlinear space, with the classic stochastic modeling in a Euclidean space, and thereby provides a foundation for a more effective and accurate analysis of the non linear feature space of activity models.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2012 conference paper
Human activity modeling as Brownian motion on shape manifold
Scale space and variational methods in computer vision, 6667, 628–639.
TL;DR:
The result demonstrate the high accuracy of the modeling in characterizing different activities as well as the one to one correspondence between the process in Euclidean space and the one on manifold.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2011 conference paper
A invertible dimension reduction of curves on a manifold
2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops).
TL;DR:
This paper proposes a novel lower dimensional representation of a shape sequence using a sequence of local flat subspaces adaptive to the geometry of both of the curve and the manifold it lies on and demonstrates the advantages of the proposed theoretical innovation.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018
2001 journal article
n-symplectic algebra of observables in covariant Lagrangian field theory
JOURNAL OF MATHEMATICAL PHYSICS, 42(10), 4827–4845.
citeseerx.ist.psu.edu (repository)
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Covariant field theory on frame bundles of fibered manifolds
JOURNAL OF MATHEMATICAL PHYSICS, 41(10), 6808–6823.
Source: Web Of Science
Added: August 6, 2018
1998 book
Cornelius Lanczos: Collected published papers with commentaries
Raleigh, NC: College of Physical and Mathematical Sciences, North Carolina State University.
Source: NC State University Libraries
Added: August 6, 2018
1997 journal article
Schouten-Nijenhuis brackets
JOURNAL OF MATHEMATICAL PHYSICS, 38(5), 2694–2709.
Source: Web Of Science
Added: August 6, 2018
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