6,335 research outputs found
Time-Shared Execution of Realtime Computer Vision Pipelines by Dynamic Partial Reconfiguration
This paper presents an FPGA runtime framework that demonstrates the
feasibility of using dynamic partial reconfiguration (DPR) for time-sharing an
FPGA by multiple realtime computer vision pipelines. The presented time-sharing
runtime framework manages an FPGA fabric that can be round-robin time-shared by
different pipelines at the time scale of individual frames. In this new
use-case, the challenge is to achieve useful performance despite high
reconfiguration time. The paper describes the basic runtime support as well as
four optimizations necessary to achieve realtime performance given the
limitations of DPR on today's FPGAs. The paper provides a characterization of a
working runtime framework prototype on a Xilinx ZC706 development board. The
paper also reports the performance of realtime computer vision pipelines when
time-shared
Evolution equations of p-Laplace type with absorption or source terms and measure data
Let be a bounded domain of , and We consider problems\textit{ }of the type % \left\{
\begin{array} [c]{l}% {u_{t}}-{\Delta_{p}}u\pm\mathcal{G}(u)=\mu\qquad\text{in
}Q,\\ {u}=0\qquad\text{on }\partial\Omega\times(0,T),\\
u(0)=u_{0}\qquad\text{in }\Omega, \end{array} \right. where
is the -Laplacian, is a bounded Radon measure, and is an absorption or a source term In
the model case
or has an exponential type. We prove the existence of
renormalized solutions for any measure in the subcritical case, and give
sufficient conditions for existence in the general case, when is good in
time and satisfies suitable capacitary conditions.Comment: arXiv admin note: substantial text overlap with arXiv:1310.525
Initial trace of solutions of Hamilton-Jacobi parabolic equation with absorption
Here we study the initial trace problem for the nonnegative solutions of the
equation in
where
and or is a smooth bounded domain of
and on We can
define the trace at as a nonnegative Borel measure where is the closed set where it is infinite, and is a
Radon measure on We show that the trace is a
Radon measure when For and any given Borel
measure, we show the existence of a minimal solution, and a maximal one on
conditions on When and
is an open subset of the existence extends to any
when and any when . In
particular there exists a self-similar nonradial solution with trace
with a growth rate of order as for fixed
Moreover we show that the solutions with trace in
may present near a growth rate of order
in and of order on $\partial
\omega.
Pointwise estimates and existence of solutions of porous medium and -Laplace evolution equations with absorption and measure data
Let be a bounded domain of . We obtain a
necessary and a sufficient condition, expressed in terms of capacities, for
existence of a solution to the porous medium equation with absorption
\begin{equation*} \left\{ \begin{array}{l} {u_{t}}-{\Delta
}(|u|^{m-1}u)+|u|^{q-1}u=\mu ~ \text{in }\Omega \times (0,T), \\
{u}=0~~~\text{on }\partial \Omega \times (0,T), \\ u(0)=\sigma , \end{array}
\right. \end{equation*} where and are bounded Radon measures,
, . We also obtain a sufficient condition for
existence of a solution to the -Laplace evolution equation \begin{equation*}
\left\{ \begin{array}{l} {u_{t}}-{\Delta _{p}}u+|u|^{q-1}u=\mu ~~\text{in
}\Omega \times (0,T), \\ {u}=0 ~ \text{on }\partial \Omega \times (0,T), \\
u(0)=\sigma . \end{array} \right. \end{equation*} where and
Stability properties for quasilinear parabolic equations with measure data
Let be a bounded domain of , and We study problems of the model type \left\{ \begin{array}
[c]{l}% {u_{t}}-{\Delta_{p}}u=\mu\qquad\text{in }Q,\\ {u}=0\qquad\text{on
}\partial\Omega\times(0,T),\\ u(0)=u_{0}\qquad\text{in }\Omega, \end{array}
\right. where , and Our main result is a \textit{stability theorem }extending the
results of Dal Maso, Murat, Orsina, Prignet, for the elliptic case, valid for
quasilinear operators div\textit{. }Comment: arXiv admin note: substantial text overlap with arXiv:1310.525
Quasilinear Lane-Emden equations with absorption and measure data
We study the existence of solutions to the equation -\Gd_pu+g(x,u)=\mu when
is a nondecreasing function and \gm a measure. We characterize the
good measures, i.e. the ones for which the problem as a renormalized solution.
We study particularly the cases where g(x,u)=\abs x^{\beta}\abs u^{q-1}u and
g(x,u)=\abs x^{\tau}\rm{sgn}(u)(e^{\tau\abs u^\lambda}-1). The results state
that a measure is good if it is absolutely continuous with respect to an
appropriate Lorentz-Bessel capacities.Comment: 28 page
Custodial Parental Perceptions and Experiences of Noncustodial Parents and Child Support
Child support is a means to financially support children, yet fewer than half of children eligible for child support receive full payment, with many receiving none. Child support nonpayment is a national concern that has led to negative repercussions for non-intact families, the community, and economic system. In some cases, noncustodial parents have an inability to pay. The purpose of this descriptive, phenomenological study was to understand custodial parental perceptions and experiences of noncustodial parent\u27s inability to pay their child support. Social learning theory served as the conceptual framework for the study. In-depth interviews were conducted with a sample of 10 custodial parents ranging in age from 18 to 45 who had an active child support case enforced by a Domestic Relations Office in the northeastern United States but were not receiving payments due to the noncustodial parent\u27s inability to pay. Audiotaped interviews were manually transcribed and coded for themes using a typology organization structure. Coding was based on key terms, word repetitions, and metaphors. Member checking and audit trails were used to establish the trustworthiness of the data. The findings revealed that many custodial parents did not trust that the noncustodial parent was being truthful in their claims of having a true inability to pay. Other custodial parents believed that the noncustodial parent could make more attempts to try to assist the custodial parent in the absence of financial support. The findings of this study may contribute to social change by advancing knowledge and policies within the child support system. Likewise, findings may assist caseworkers and clinicians in better understanding their client\u27s experiences and challenges resulting in a better client service experience
Wavelet-based density estimation for noise reduction in plasma simulations using particles
For given computational resources, the accuracy of plasma simulations using
particles is mainly held back by the noise due to limited statistical sampling
in the reconstruction of the particle distribution function. A method based on
wavelet analysis is proposed and tested to reduce this noise. The method, known
as wavelet based density estimation (WBDE), was previously introduced in the
statistical literature to estimate probability densities given a finite number
of independent measurements. Its novel application to plasma simulations can be
viewed as a natural extension of the finite size particles (FSP) approach, with
the advantage of estimating more accurately distribution functions that have
localized sharp features. The proposed method preserves the moments of the
particle distribution function to a good level of accuracy, has no constraints
on the dimensionality of the system, does not require an a priori selection of
a global smoothing scale, and its able to adapt locally to the smoothness of
the density based on the given discrete particle data. Most importantly, the
computational cost of the denoising stage is of the same order as one time step
of a FSP simulation. The method is compared with a recently proposed proper
orthogonal decomposition based method, and it is tested with three particle
data sets that involve different levels of collisionality and interaction with
external and self-consistent fields
- …