13,948 research outputs found
Three charged particles in the continuum. Astrophysical examples
We suggest a new adiabatic approach for description of three charged
particles in the continuum. This approach is based on the Coulomb-Fourier
transformation (CFT) of three body Hamiltonian, which allows to develop a
scheme, alternative to Born-Oppenheimer one.
The approach appears as an expansion of the kernels of corresponding integral
transformations in terms of small mass-ratio parameter. To be specific, the
results are presented for the system in the continuum. The wave function
of a such system is compared with that one which is used for estimation of the
rate for triple reaction which take place as a step of
-cycle in the center of the Sun. The problem of microscopic screening for
this particular reaction is discussed
Stereo Computation for a Single Mixture Image
This paper proposes an original problem of \emph{stereo computation from a
single mixture image}-- a challenging problem that had not been researched
before. The goal is to separate (\ie, unmix) a single mixture image into two
constitute image layers, such that the two layers form a left-right stereo
image pair, from which a valid disparity map can be recovered. This is a
severely illposed problem, from one input image one effectively aims to recover
three (\ie, left image, right image and a disparity map). In this work we give
a novel deep-learning based solution, by jointly solving the two subtasks of
image layer separation as well as stereo matching. Training our deep net is a
simple task, as it does not need to have disparity maps. Extensive experiments
demonstrate the efficacy of our method.Comment: Accepted by European Conference on Computer Vision (ECCV) 201
A survey of spinning test particle orbits in Kerr spacetime
We investigate the dynamics of the Papapetrou equations in Kerr spacetime.
These equations provide a model for the motion of a relativistic spinning test
particle orbiting a rotating (Kerr) black hole. We perform a thorough parameter
space search for signs of chaotic dynamics by calculating the Lyapunov
exponents for a large variety of initial conditions. We find that the
Papapetrou equations admit many chaotic solutions, with the strongest chaos
occurring in the case of eccentric orbits with pericenters close to the limit
of stability against plunge into a maximally spinning Kerr black hole. Despite
the presence of these chaotic solutions, we show that physically realistic
solutions to the Papapetrou equations are not chaotic; in all cases, the
chaotic solutions either do not correspond to realistic astrophysical systems,
or involve a breakdown of the test-particle approximation leading to the
Papapetrou equations (or both). As a result, the gravitational radiation from
bodies spiraling into much more massive black holes (as detectable, for
example, by LISA, the Laser Interferometer Space Antenna) should not exhibit
any signs of chaos.Comment: Submitted to Phys. Rev. D. Follow-up to gr-qc/0210042. Figures are
low-resolution in order to satisfy archive size constraints; a
high-resolution version is available at http://www.michaelhartl.com/papers
Regularized Neural User Model for Goal-Oriented Spoken Dialogue Systems
User simulation is widely used to generate artificial dialogues in order to train statistical spoken dialogue systems and perform evaluations. This paper presents a neural network approach for user modeling that exploits an encoder-decoder bidirectional architecture with a regularization layer for each dialogue act. In order to minimize the impact of data sparsity, the dialogue act space is compressed according to the user goal. Experiments on the Dialogue State Tracking Challenge 2 (DSTC2) dataset provide significant results at dialogue act and slot level predictions, outperforming previous neural user modeling approaches in terms of F1 score.Spanish Minister of Science under grants TIN2014-54288-C4-4-R and TIN2017-85854-C4-3-R and by the EU H2020 EMPATHIC project grant number 769872
Gradient descent learning in and out of equilibrium
Relations between the off thermal equilibrium dynamical process of on-line
learning and the thermally equilibrated off-line learning are studied for
potential gradient descent learning. The approach of Opper to study on-line
Bayesian algorithms is extended to potential based or maximum likelihood
learning. We look at the on-line learning algorithm that best approximates the
off-line algorithm in the sense of least Kullback-Leibler information loss. It
works by updating the weights along the gradient of an effective potential
different from the parent off-line potential. The interpretation of this off
equilibrium dynamics holds some similarities to the cavity approach of
Griniasty. We are able to analyze networks with non-smooth transfer functions
and transfer the smoothness requirement to the potential.Comment: 08 pages, submitted to the Journal of Physics
Closed form representation for a projection onto infinitely dimensional subspace spanned by Coulomb bound states
The closed form integral representation for the projection onto the subspace
spanned by bound states of the two-body Coulomb Hamiltonian is obtained. The
projection operator onto the dimensional subspace corresponding to the
-th eigenvalue in the Coulomb discrete spectrum is also represented as the
combination of Laguerre polynomials of -th and -th order. The latter
allows us to derive an analog of the Christoffel-Darboux summation formula for
the Laguerre polynomials. The representations obtained are believed to be
helpful in solving the breakup problem in a system of three charged particles
where the correct treatment of infinitely many bound states in two body
subsystems is one of the most difficult technical problems.Comment: 7 page
Channel-Independent and Sensor-Independent Stimulus Representations
This paper shows how a machine, which observes stimuli through an
uncharacterized, uncalibrated channel and sensor, can glean machine-independent
information (i.e., channel- and sensor-independent information) about the
stimuli. First, we demonstrate that a machine defines a specific coordinate
system on the stimulus state space, with the nature of that coordinate system
depending on the device's channel and sensor. Thus, machines with different
channels and sensors "see" the same stimulus trajectory through state space,
but in different machine-specific coordinate systems. For a large variety of
physical stimuli, statistical properties of that trajectory endow the stimulus
configuration space with differential geometric structure (a metric and
parallel transfer procedure), which can then be used to represent relative
stimulus configurations in a coordinate-system-independent manner (and,
therefore, in a channel- and sensor-independent manner). The resulting
description is an "inner" property of the stimulus time series in the sense
that it does not depend on extrinsic factors like the observer's choice of a
coordinate system in which the stimulus is viewed (i.e., the observer's choice
of channel and sensor). This methodology is illustrated with analytic examples
and with a numerically simulated experiment. In an intelligent sensory device,
this kind of representation "engine" could function as a "front-end" that
passes channel/sensor-independent stimulus representations to a pattern
recognition module. After a pattern recognizer has been trained in one of these
devices, it could be used without change in other devices having different
channels and sensors.Comment: The results of a numerically simulated experiment, which illustrates
the proposed method, have been added to the version submitted on October 27,
2004. This paper has been accepted for publication in the Journal of Applied
Physics. For related papers, see http://www.geocities.com/dlevin2001
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