491 research outputs found
Entanglement Cost of Antisymmetric States and Additivity of Capacity of Some Quantum Channel
We study the entanglement cost of the states in the contragredient space,
which consists of -dimensional systems. The cost is always ebits when the state is divided into bipartite \C^d \otimes
(\C^d)^{d-2}. Combined with the arguments in \cite{Matsumoto02}, additivity of
channel capacity of some quantum channels is also shown.Comment: revtex 4 pages, no figures, small changes in title and author's
affiliation and some typo are correcte
Approximate Bayesian Image Interpretation using Generative Probabilistic Graphics Programs
The idea of computer vision as the Bayesian inverse problem to computer
graphics has a long history and an appealing elegance, but it has proved
difficult to directly implement. Instead, most vision tasks are approached via
complex bottom-up processing pipelines. Here we show that it is possible to
write short, simple probabilistic graphics programs that define flexible
generative models and to automatically invert them to interpret real-world
images. Generative probabilistic graphics programs consist of a stochastic
scene generator, a renderer based on graphics software, a stochastic likelihood
model linking the renderer's output and the data, and latent variables that
adjust the fidelity of the renderer and the tolerance of the likelihood model.
Representations and algorithms from computer graphics, originally designed to
produce high-quality images, are instead used as the deterministic backbone for
highly approximate and stochastic generative models. This formulation combines
probabilistic programming, computer graphics, and approximate Bayesian
computation, and depends only on general-purpose, automatic inference
techniques. We describe two applications: reading sequences of degraded and
adversarially obscured alphanumeric characters, and inferring 3D road models
from vehicle-mounted camera images. Each of the probabilistic graphics programs
we present relies on under 20 lines of probabilistic code, and supports
accurate, approximately Bayesian inferences about ambiguous real-world images.Comment: The first two authors contributed equally to this wor
Resolvent Splitting for Sums of Monotone Operators with Minimal Lifting
In this work, we study fixed point algorithms for finding a zero in the sum
of maximally monotone operators by using their resolvents. More
precisely, we consider the class of such algorithms where each resolvent is
evaluated only once per iteration. For any algorithm from this class, we show
that the underlying fixed point operator is necessarily defined on a -fold
Cartesian product space with . Further, we show that this bound is
unimprovable by providing a family of examples for which is attained.
This family includes the Douglas-Rachford algorithm as the special case when
. Applications of the new family of algorithms in distributed
decentralised optimisation and multi-block extensions of the alternation
direction method of multipliers (ADMM) are discussed.Comment: 23 page
Fundamental Cycle of a Periodic Box-Ball System
We investigate a soliton cellular automaton (Box-Ball system) with periodic
boundary conditions. Since the cellular automaton is a deterministic dynamical
system that takes only a finite number of states, it will exhibit periodic
motion. We determine its fundamental cycle for a given initial state.Comment: 28 pages, 6 figure
The Influence of Bid-ask Spread and Leverage on Earnings Management with Good Corporate Governance as Moderating Variable
This research was intended for obtaining an empirical evidence regarding good corporate governance to moderate the influence of bid-ask spread and leverage on earnings management. Earnings management was measured by the three proxies of real earnings management. It was included cash flow operation, production cost, and discretionary expenses. Bid-ask spread was measured by ask and bid price of the company\u27s shares in given period. Leverage was measured by the ratio of total debt and assets. A good corporate governance was measured by score Corporate Governance Perception Index (CGPI). The research population was a company listed on the Indonesia Stock Exchange in 2008-2015. The sampling method is used a purposive sampling. The samples analyzed was 56 samples. An analytical technique is used Moderated Regression Analysis (MRA). The result showed that a good corporate governance did not moderate the influence of bid-ask spread on earnings management. However, a good corporate governance weakens the influence of leverage on earnings management
On a Periodic Soliton Cellular Automaton
We propose a box and ball system with a periodic boundary condition (pBBS).
The time evolution rule of the pBBS is represented as a Boolean recurrence
formula, an inverse ultradiscretization of which is shown to be equivalent with
the algorithm of the calculus for the 2Nth root. The relations to the pBBS of
the combinatorial R matrix of are also discussed.Comment: 17 pages, 5 figure
Correlation function for a periodic box-ball system
We investigate correlation functions in a periodic box-ball system. For the
two point functions of short distance, we give explicit formulae obtained by
combinatorial methods. We give expressions for general N-point functions in
terms of ultradiscrete theta functions.Comment: 13 pages, 2 figures, submitted to J. Phys. A: Math. Theo
Distributed Forward-Backward Methods for Ring Networks
In this work, we propose and analyse forward-backward-type algorithms for
finding a zero of the sum of finitely many monotone operators, which are not
based on reduction to a two operator inclusion in the product space. Each
iteration of the studied algorithms requires one resolvent evaluation per
set-valued operator, one forward evaluation per cocoercive operator, and two
forward evaluations per monotone operator. Unlike existing methods, the
structure of the proposed algorithms are suitable for distributed,
decentralised implementation in ring networks without needing global summation
to enforce consensus between nodes.Comment: 19 page
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