Publications related to Real coordinate space

UCLID-Net: Single View Reconstruction in Object Space

Pascal Fua, Benoît Alain René Guillard, Edoardo Remelli

Most state-of-the-art deep geometric learning single-view reconstruction approaches rely on encoder-decoder architectures that output either shape parametrizations or implicit representations. However, these representations rarely preserve the Euclidean st ...

2020

Coordinate Difference Matrices

Martin Vetterli, Gilles Baechler, Miranda Krekovic, Golnooshsadat Elhami

In many problems such as phase retrieval, molecular biology, source localization, and sensor array calibration, one can measure vector differences between pairs of points and attempt to recover the position of these points; this class of problems is called ...

SIAM PUBLICATIONS2020

Large data scattering for NLKG on waveguide R-d x T

Luigi Forcella

We consider the pure-power defocusing nonlinear Klein-Gordon equation, in the H-1-subcritical case, posed on the product space R-d X T, where T is the one-dimensional flat torus. In this framework, we prove that scattering holds for any initial data belong ...

WORLD SCIENTIFIC PUBL CO PTE LTD2020

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type

Tudor Ratiu

The geodesic flows are studied on real forms of complex semi-simple Lie groups with respect to a left-invariant (pseudo-)Riemannian metric of rigid body type. The Williamson types of the isolated relative equilibria on generic adjoint orbits are determined ...

SPRINGER INTERNATIONAL PUBLISHING AG2020

Spin-1/2 kagome Heisenberg antiferromagnet with strong breathing anisotropy

Frédéric Mila, Seyed Saeed Soyouf Jahromi

We study the zero-temperature phase diagram of the spin-1/2 Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large scale tensor network simul ...

SCIPOST FOUNDATION2020

Atom-density representations for machine learning

Michele Ceriotti, Félix Benedito Clément Musil, Michael John Willatt

This has led to a proliferation of alternative ways to convert an atomic structure into an input for a machine-learning model. We introduce an abstract definition of chemical environments that is based on a smoothed atomic density, using a bra-ket notation ...

2019

Short-Range Structural Correlations in Amorphous 2D Polymers

Klaus Kern, Claudius Morchutt, Patrick Eduard Alexa

Many 2D covalent polymers synthesized as single layers on surfaces show inherent disorder, expressed for example in their ring-size distribution. Systems which are expected to form the thermodynamically favored hexagonal lattice usually deviate from crysta ...

2019

High-resolution interference microscopy with spectral resolution for the characterization of individual particles and self-assembled meta-atoms

Toralf Scharf, Andreas Vetter, Michail Symeonidis

We apply a high-resolution interference microscope with spectral resolution to investigate the scattering response of isolated meta-atoms in real space. The final meta-atoms consist of core-shell clusters that are fabricated using a bottom-up approach. The ...

OPTICAL SOC AMER2019

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Real coordinate space

UCLID-Net: Single View Reconstruction in Object Space

Coordinate Difference Matrices

Large data scattering for NLKG on waveguide R-d x T

A Computational Framework For Two-Dimensional Random Walks With Restarts

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type

Single shot acquisition of spatially resolved spin wave dispersion relations using X-ray microscopy

Spin-1/2 kagome Heisenberg antiferromagnet with strong breathing anisotropy

Atom-density representations for machine learning

Short-Range Structural Correlations in Amorphous 2D Polymers

High-resolution interference microscopy with spectral resolution for the characterization of individual particles and self-assembled meta-atoms

Graph Chatbot

Chat with Graph Search

UCLID-Net: Single View Reconstruction in Object Space

Short-Range Structural Correlations in Amorphous 2D Polymers

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type

Coordinate Difference Matrices

Large data scattering for NLKG on waveguide R-d x T

High-resolution interference microscopy with spectral resolution for the characterization of individual particles and self-assembled meta-atoms

A Computational Framework For Two-Dimensional Random Walks With Restarts

Atom-density representations for machine learning

Single shot acquisition of spatially resolved spin wave dispersion relations using X-ray microscopy

Spin-1/2 kagome Heisenberg antiferromagnet with strong breathing anisotropy