56,819 research outputs found
Learning a Hierarchical Latent-Variable Model of 3D Shapes
We propose the Variational Shape Learner (VSL), a generative model that
learns the underlying structure of voxelized 3D shapes in an unsupervised
fashion. Through the use of skip-connections, our model can successfully learn
and infer a latent, hierarchical representation of objects. Furthermore,
realistic 3D objects can be easily generated by sampling the VSL's latent
probabilistic manifold. We show that our generative model can be trained
end-to-end from 2D images to perform single image 3D model retrieval.
Experiments show, both quantitatively and qualitatively, the improved
generalization of our proposed model over a range of tasks, performing better
or comparable to various state-of-the-art alternatives.Comment: Accepted as oral presentation at International Conference on 3D
Vision (3DV), 201
Non-axisymmetric instability of shear-banded Taylor-Couette flow
Recent experiments show that shear-banded flows of semi-dilute worm-like
micelles in Taylor-Couette geometry exhibit a flow instability in the form of
Taylor-like vortices. Here we perform the non-axisymmetric linear stability
analysis of the diffusive Johnson-Segalman model of shear banding and show that
the nature of this instability depends on the applied shear rate. For the
experimentally relevant parameters, we find that at the beginning of the stress
plateau the instability is driven by the interface between the bands, while
most of the stress plateau is occupied by the bulk instability of the
high-shear-rate band. Our work significantly alters the recently proposed
stability diagram of shear-banded flows based on axisymmetric analysis.Comment: 6 pages, 5 figures, main text and supplementary material; accepted to
Phys. Rev. Let
Can we detect quantum gravity with compact binary inspirals?
Treating general relativity as an effective field theory, we compute the
leading-order quantum corrections to the orbits and gravitational-wave emission
of astrophysical compact binaries. These corrections are independent of the
(unknown) nature of quantum gravity at high energies, and generate a phase
shift and amplitude increase in the observed gravitational-wave signal.
Unfortunately (but unsurprisingly), these corrections are undetectably small,
even in the most optimistic observational scenarios.Comment: 7 pages, 0 figures; version 2 has additional discussion of our
approach and 5 additional reference
Quantum Feynman-Kac perturbations
We develop fully noncommutative Feynman-Kac formulae by employing quantum
stochastic processes. To this end we establish some theory for perturbing
quantum stochastic flows on von Neumann algebras by multiplier cocycles.
Multiplier cocycles are constructed via quantum stochastic differential
equations whose coefficients are driven by the flow. The resulting class of
cocycles is characterised under alternative assumptions of separability or
Markov regularity. Our results generalise those obtained using classical
Brownian motion on the one hand, and results for unitarily implemented flows on
the other.Comment: 27 pages. Minor corrections to version 2. To appear in the Journal of
the London Mathematical Societ
- …