18,781 research outputs found
Geometry-aware Manipulability Learning, Tracking and Transfer
Body posture influences human and robots performance in manipulation tasks,
as appropriate poses facilitate motion or force exertion along different axes.
In robotics, manipulability ellipsoids arise as a powerful descriptor to
analyze, control and design the robot dexterity as a function of the
articulatory joint configuration. This descriptor can be designed according to
different task requirements, such as tracking a desired position or apply a
specific force. In this context, this paper presents a novel
\emph{manipulability transfer} framework, a method that allows robots to learn
and reproduce manipulability ellipsoids from expert demonstrations. The
proposed learning scheme is built on a tensor-based formulation of a Gaussian
mixture model that takes into account that manipulability ellipsoids lie on the
manifold of symmetric positive definite matrices. Learning is coupled with a
geometry-aware tracking controller allowing robots to follow a desired profile
of manipulability ellipsoids. Extensive evaluations in simulation with
redundant manipulators, a robotic hand and humanoids agents, as well as an
experiment with two real dual-arm systems validate the feasibility of the
approach.Comment: Accepted for publication in the Intl. Journal of Robotics Research
(IJRR). Website: https://sites.google.com/view/manipulability. Code:
https://github.com/NoemieJaquier/Manipulability. 24 pages, 20 figures, 3
tables, 4 appendice
Estimation of Laplacian spectra of direct and strong product graphs
Calculating a product of multiple graphs has been studied in mathematics,
engineering, computer science, and more recently in network science,
particularly in the context of multilayer networks. One of the important
questions to be addressed in this area is how to characterize spectral
properties of a product graph using those of its factor graphs. While several
such characterizations have already been obtained analytically (mostly for
adjacency spectra), characterization of Laplacian spectra of direct product and
strong product graphs has remained an open problem. Here we develop practical
methods to estimate Laplacian spectra of direct and strong product graphs from
spectral properties of their factor graphs using a few heuristic assumptions.
Numerical experiments showed that the proposed methods produced reasonable
estimation with percentage errors confined within a +/-10% range for most
eigenvalues.Comment: 14 pages, 7 figures; to be published in Discrete Applied Mathematic
Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes
Asymptotic analytic solutions of the Dirac equation, giving the scattering
modes (of the continuous energy spectrum, ) in Schwarzschild's chart
and Cartesian gauge, are used for building the partial wave analysis of Dirac
fermions scattered by black holes. The contribution of the bound states to
absorption and possible resonant scattering is neglected because of some
technical difficulties related to the discrete spectrum that is less studied so
far. In this framework, the analytic expressions of the differential cross
section and induced polarization degree are derived in terms of scattering
angle, mass of the black hole, energy and mass of the fermion. Moreover, the
closed form of the absorption cross section due to the scattering modes is
derived showing that in the high-energy limit this tends to the event horizon
area regardless of the fermion mass (including zero). A graphical study
presents the differential cross section analyzing the forward/backward
scattering (known also as glory scattering) and the polarization degree as
functions of scattering angle. The graphical analysis shows the presence of
oscillations in scattering intensity around forward/backward directions,
phenomena known as spiral scattering. The energy dependence of the differential
cross section is also established by using analytical and graphical methods.Comment: 34 page
Coping with lists in the ifcOWL ontology
Over the past few years, several suggestions have been made of how to convert an EXPRESS schema into an OWL ontology. The conversion from EXPRESS to OWL is of particular use to architectural design and construction industry, because one of the key data models in architectural design and construction industry, namely the Industry Foundation Classes (IFC) is represented using the EXPRESS information modelling language. In each of these conversion options, the way in which lists are converted (e.g. lists of coordinates, lists of spaces in a floor) is key to the structure and eventual strength of the resulting ontology. In this article, we outline and discuss the main decisions that can be made in converting LIST concepts in EXPRESS to equivalent OWL expressions. This allows one to identify which conversion option is appropriate to support proper and efficient information reuse in the domain of architecture and construction
Symmetry analysis of magneto-optical effects: The case of x-ray diffraction and x-ray absorption at the transition metal L23 edge
A general symmetry analysis of the optical conductivity or scattering tensor
is used to rewrite the conductivity tensor as a sum of fundamental spectra
multiplied by simple functions depending on the local magnetization direction.
Using this formalism, we present several numerical examples at the transition
metal L23 edge. From these numerical calculations we can conclude that large
deviations from the magneto-optical effects in spherical symmetry are found.
These findings are in particular important for resonant x-ray diffraction
experiments where the polarization dependence and azimuthal dependence of the
scattered Bragg intensity is used to determine the local ordered magnetization
direction
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