96 research outputs found
Stitching IC Images
Image stitching software is used in many areas such as photogrammetry, biomedical imaging, and even amateur digital photography. However, these algorithms require relatively large image overlap, and for this reason they cannot be used to stitch the integrated circuit (IC) images, whose overlap is typically less than 60 pixels for a 4096 by 4096 pixel image.
In this paper, we begin by using algorithmic graph theory to study optimal patterns for adding IC images one at a time to a grid. In the remaining sections we study ways of stitching all the images simultaneously using different optimisation approaches: least squares methods, simulated annealing, and nonlinear programming
Stock Price Dynamics and Option Valuations under Volatility Feedback Effect
According to the volatility feedback effect, an unexpected increase in
squared volatility leads to an immediate decline in the price-dividend ratio.
In this paper, we consider the properties of stock price dynamics and option
valuations under the volatility feedback effect by modeling the joint dynamics
of stock price, dividends, and volatility in continuous time. Most importantly,
our model predicts the negative effect of an increase in squared return
volatility on the value of deep-in-the-money call options and, furthermore,
attempts to explain the volatility puzzle. We theoretically demonstrate a
mechanism by which the market price of diffusion return risk, or an equity
risk-premium, affects option prices and empirically illustrate how to identify
that mechanism using forward-looking information on option contracts. Our
theoretical and empirical results support the relevance of the volatility
feedback effect. Overall, the results indicate that the prevailing practice of
ignoring the time-varying dividend yield in option pricing can lead to
oversimplification of the stock market dynamics.Comment: 23 pages, 7 figures, 2 table
Robust Inference for State-Space Models with Skewed Measurement Noise
Filtering and smoothing algorithms for linear discrete-time state-space
models with skewed and heavy-tailed measurement noise are presented. The
algorithms use a variational Bayes approximation of the posterior distribution
of models that have normal prior and skew-t-distributed measurement noise. The
proposed filter and smoother are compared with conventional low-complexity
alternatives in a simulated pseudorange positioning scenario. In the
simulations the proposed methods achieve better accuracy than the alternative
methods, the computational complexity of the filter being roughly 5 to 10 times
that of the Kalman filter.Comment: 5 pages, 7 figures. Accepted for publication in IEEE Signal
Processing Letter
3D angle-of-arrival positioning using von Mises-Fisher distribution
We propose modeling an angle-of-arrival (AOA) positioning measurement as a
von Mises-Fisher (VMF) distributed unit vector instead of the conventional
normally distributed azimuth and elevation measurements. Describing the
2-dimensional AOA measurement with three numbers removes discontinuities and
reduces nonlinearity at the poles of the azimuth-elevation coordinate system.
Our computer simulations show that the proposed VMF measurement noise model
based filters outperform the normal distribution based algorithms in accuracy
in a scenario where close-to-pole measurements occur frequently.Comment: 5 page
Recovering full coherence in a qubit by measuring half of its environment
When quantum systems interact with the environment they lose their quantum
properties, such as coherence. Quantum erasure makes it possible to restore
coherence in a system by measuring its environment, but accessing the whole of
it may be prohibitive: realistically one might have to concentrate only on an
accessible subspace and neglect the rest. If that is the case, how good is
quantum erasure? In this work we compute the largest coherence that we can expect to recover in a qubit, as a function of
the dimension of the accessible and of the inaccessible subspaces of its
environment. We then imagine the following game: we are given a uniformly
random pure state of qubits and we are asked to compute the largest
coherence that we can retrieve on one of them by optimally measuring a certain
number of the others. We find a surprising effect around the
value : the recoverable coherence sharply transitions between 0
and 1, indicating that in order to restore full coherence on a qubit we need
access to only half of its physical environment (or in terms of degrees of
freedom to just the square root of them). Moreover, we find that the
recoverable coherence becomes a typical property of the whole ensemble as
grows.Comment: 4 pages, 5 figure
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