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Geometric mechanics
Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and…
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3 relations
Computational anatomy
Control theory
Noether's theorem
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Understanding over-parameterized deep networks by geometrization
Xiao Dong
,
Ling Zhou
arXiv.org
2019
Corpus ID: 60440542
A complete understanding of the widely used over-parameterized deep networks is a key step for AI. In this work we try to give a…
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2019
2019
Deep network as memory space: complexity, generalization, disentangled representation and interpretability
X. Dong
,
L. Zhou
arXiv.org
2019
Corpus ID: 196621770
By bridging deep networks and physics, the programme of geometrization of deep networks was proposed as a framework for the…
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2018
2018
A groupoid approach to geometric mechanics
Daniel D. Fusca
2018
Corpus ID: 150162333
2 Lie groupoids and Lie algebroids 10 2.1 Definitions and examples…
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2015
2015
BIOLOGICAL AND ROBOTIC MODELING OF THE EVOLUTION OF LEGGED LOCOMOTION ON LAND
D. Goldman
2015
Corpus ID: 55740361
2014
2014
PRINCIPLES AND ALGORITHMS FOR NATURAL AND ENGINEERED SWARMS
C. Chiu
,
P. V. Reddy
,
+4 authors
Motion
2014
Corpus ID: 26907979
: The PI (P. S. Krishnaprasad) and co-PI (Andrea Cavagna, sub-awardee at the ISC-CNR, Rome, Italy) joined forces in a program of…
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2013
2013
Dynamics and Balance Control of the Reaction Mass Pendulum ( RMP ) : A 3 D Multibody Pendulum with Variable Body Inertia
A. Sanyal
2013
Corpus ID: 8650164
Pendulum models have been studied as benchmark problems for development of nonlinear control schemes, as well as reduced-order…
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2010
2010
Introduction to Geometric Mechanics and AVI
François Demoures
,
T. Ratiu
,
Y. Weinand
2010
Corpus ID: 119488306
The goal of this short presentation is to introduce Geometric Mechanics as well as Asynchronous Variational Integrators (AVI…
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Review
2010
Review
2010
Geometric mechanics on nonholonomic submanifolds.
O. Krupkova
2010
Corpus ID: 263305489
In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where…
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2005
2005
GEOMETRIC MECHANICS ON A STEP $4$ SUBRIEMANNIAN MANIFOLD
O. Calin
,
D. Chang
2005
Corpus ID: 126213094
In this paper we study the behavior of subRiemannian geodesics on a certain step $4$ subRiemannian manifold. We compute the…
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Review
1995
Review
1995
Aspects of Geometric Mechanics and Control of Mechanical Systems
A. Lewis
1995
Corpus ID: 120525256
Many interesting control systems are mechanical control systems. In spite of this, there has not been much effort to develop…
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