23,525 research outputs found
Models for Metal Hydride Particle Shape, Packing, and Heat Transfer
A multiphysics modeling approach for heat conduction in metal hydride powders
is presented, including particle shape distribution, size distribution,
granular packing structure, and effective thermal conductivity. A statistical
geometric model is presented that replicates features of particle size and
shape distributions observed experimentally that result from cyclic hydride
decreptitation. The quasi-static dense packing of a sample set of these
particles is simulated via energy-based structural optimization methods. These
particles jam (i.e., solidify) at a density (solid volume fraction) of
0.665+/-0.015 - higher than prior experimental estimates. Effective thermal
conductivity of the jammed system is simulated and found to follow the behavior
predicted by granular effective medium theory. Finally, a theory is presented
that links the properties of bi-porous cohesive powders to the present systems
based on recent experimental observations of jammed packings of fine powder.
This theory produces quantitative experimental agreement with metal hydride
powders of various compositions.Comment: 12 pages, 12 figures, 2 table
Determining Cosserat constants of 2D cellular solids from beam models
We present results of a two-scale model of disordered cellular materials
where we describe the microstructure in an idealized manner using a beam
network model and then make a transition to a Cosserat-type continuum model
describing the same material on the macroscopic scale. In such scale
transitions, normally either bottom-up homogenization approaches or top-down
reverse modelling strategies are used in order to match the macro-scale
Cosserat continuum to the micro-scale beam network. Here we use a different
approach that is based on an energetically consistent continuization scheme
that uses data from the beam network model in order to determine continuous
stress and strain variables in a set of control volumes defined on the scale of
the individual microstructure elements (cells) in such a manner that they form
a continuous tessellation of the material domain. Stresses and strains are
determined independently in all control volumes, and constitutive parameters
are obtained from the ensemble of control volume data using a least-square
error criterion. We show that this approach yields material parameters that are
for regular honeycomb structures in close agreement with analytical results.
For strongly disordered cellular structures, the thus parametrized Cosserat
continuum produces results that reproduce the behavior of the micro-scale beam
models both in view of the observed strain patterns and in view of the
macroscopic response, including its size dependence
A novel power integrity modeling method based on plane pair PEEC
A low impedance power distribution network (PDN) is essential for high frequency integrated circuits. A novel modeling mothed, i.e. the plane pair PEEC method is proposed in this thesis to model the PDN of the multi-layered printed circuit board. The modeling results agrees favorably with full wave simulation and measurement. A PDN tool is develop based on this method --Abstract, page iii
How single neuron properties shape chaotic dynamics and signal transmission in random neural networks
While most models of randomly connected networks assume nodes with simple
dynamics, nodes in realistic highly connected networks, such as neurons in the
brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the
dynamical properties of nodes (such as single neurons) and recurrent
connections interact to shape the effective dynamics in large randomly
connected networks. A novel dynamical mean-field theory for strongly connected
networks of multi-dimensional rate units shows that the power spectrum of the
network activity in the chaotic phase emerges from a nonlinear sharpening of
the frequency response function of single units. For the case of
two-dimensional rate units with strong adaptation, we find that the network
exhibits a state of "resonant chaos", characterized by robust, narrow-band
stochastic oscillations. The coherence of stochastic oscillations is maximal at
the onset of chaos and their correlation time scales with the adaptation
timescale of single units. Surprisingly, the resonance frequency can be
predicted from the properties of isolated units, even in the presence of
heterogeneity in the adaptation parameters. In the presence of these
internally-generated chaotic fluctuations, the transmission of weak,
low-frequency signals is strongly enhanced by adaptation, whereas signal
transmission is not influenced by adaptation in the non-chaotic regime. Our
theoretical framework can be applied to other mechanisms at the level of single
nodes, such as synaptic filtering, refractoriness or spike synchronization.
These results advance our understanding of the interaction between the dynamics
of single units and recurrent connectivity, which is a fundamental step toward
the description of biologically realistic network models in the brain, or, more
generally, networks of other physical or man-made complex dynamical units
PointGrow: Autoregressively Learned Point Cloud Generation with Self-Attention
Generating 3D point clouds is challenging yet highly desired. This work
presents a novel autoregressive model, PointGrow, which can generate diverse
and realistic point cloud samples from scratch or conditioned on semantic
contexts. This model operates recurrently, with each point sampled according to
a conditional distribution given its previously-generated points, allowing
inter-point correlations to be well-exploited and 3D shape generative processes
to be better interpreted. Since point cloud object shapes are typically encoded
by long-range dependencies, we augment our model with dedicated self-attention
modules to capture such relations. Extensive evaluations show that PointGrow
achieves satisfying performance on both unconditional and conditional point
cloud generation tasks, with respect to realism and diversity. Several
important applications, such as unsupervised feature learning and shape
arithmetic operations, are also demonstrated
DeepSphere: Efficient spherical Convolutional Neural Network with HEALPix sampling for cosmological applications
Convolutional Neural Networks (CNNs) are a cornerstone of the Deep Learning
toolbox and have led to many breakthroughs in Artificial Intelligence. These
networks have mostly been developed for regular Euclidean domains such as those
supporting images, audio, or video. Because of their success, CNN-based methods
are becoming increasingly popular in Cosmology. Cosmological data often comes
as spherical maps, which make the use of the traditional CNNs more complicated.
The commonly used pixelization scheme for spherical maps is the Hierarchical
Equal Area isoLatitude Pixelisation (HEALPix). We present a spherical CNN for
analysis of full and partial HEALPix maps, which we call DeepSphere. The
spherical CNN is constructed by representing the sphere as a graph. Graphs are
versatile data structures that can act as a discrete representation of a
continuous manifold. Using the graph-based representation, we define many of
the standard CNN operations, such as convolution and pooling. With filters
restricted to being radial, our convolutions are equivariant to rotation on the
sphere, and DeepSphere can be made invariant or equivariant to rotation. This
way, DeepSphere is a special case of a graph CNN, tailored to the HEALPix
sampling of the sphere. This approach is computationally more efficient than
using spherical harmonics to perform convolutions. We demonstrate the method on
a classification problem of weak lensing mass maps from two cosmological models
and compare the performance of the CNN with that of two baseline classifiers.
The results show that the performance of DeepSphere is always superior or equal
to both of these baselines. For high noise levels and for data covering only a
smaller fraction of the sphere, DeepSphere achieves typically 10% better
classification accuracy than those baselines. Finally, we show how learned
filters can be visualized to introspect the neural network.Comment: arXiv admin note: text overlap with arXiv:astro-ph/0409513 by other
author
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