293,845 research outputs found
Some identities on derangement and degenerate derangement polynomials
In combinatorics, a derangement is a permutation that has no fixed points.
The number of derangements of an n-element set is called the n-th derangement
number. In this paper, as natural companions to derangement numbers and
degenerate versions of the companions we introduce derangement polynomials and
degenerate derangement polynomials. We give some of their properties,
recurrence relations and identities for those polynomials which are related to
some special numbers and polynomials.Comment: 12 page
Quantum-disordered slave-boson theory of underdoped cuprates
We study the stability of the spin gap phase in the U(1) slave-boson theory
of the t-J model in connection to the underdoped cuprates. We approach the spin
gap phase from the superconducting state and consider the quantum phase
transition of the slave-bosons at zero temperature by introducing vortices in
the boson superfluid. At finite temperatures, the properties of the bosons are
different from those of the strange metal phase and lead to modified gauge
field fluctuations. As a result, the spin gap phase can be stabilized in the
quantum critical and quantum disordered regime of the boson system. We also
show that the regime of quantum disordered bosons with the paired fermions can
be regarded as the strong coupling version of the recently proposed nodal
liquid theory.Comment: 5 pages, Replaced by the published versio
Bayesian matching of unlabelled point sets using Procrustes and configuration models
The problem of matching unlabelled point sets using Bayesian inference is
considered. Two recently proposed models for the likelihood are compared, based
on the Procrustes size-and-shape and the full configuration. Bayesian inference
is carried out for matching point sets using Markov chain Monte Carlo
simulation. An improvement to the existing Procrustes algorithm is proposed
which improves convergence rates, using occasional large jumps in the burn-in
period. The Procrustes and configuration methods are compared in a simulation
study and using real data, where it is of interest to estimate the strengths of
matches between protein binding sites. The performance of both methods is
generally quite similar, and a connection between the two models is made using
a Laplace approximation
alpha_s From the Lattice and Hadronic Tau Decays
Until recently, determinations of alpha_s(M_Z) from hadronic tau decays and
the analysis of short-distance-sensitive lattice observables yielded results
which, though precise, were not in good agreement. I review new analyses that
bring these into good agreement and provide some details on the source of the
main changes in the tau decay analysis.Comment: 4 pages, prepared for the proceedings of CIPANP 09, San Diego, USA,
March 26-31, 200
Towards Language-Universal End-to-End Speech Recognition
Building speech recognizers in multiple languages typically involves
replicating a monolingual training recipe for each language, or utilizing a
multi-task learning approach where models for different languages have separate
output labels but share some internal parameters. In this work, we exploit
recent progress in end-to-end speech recognition to create a single
multilingual speech recognition system capable of recognizing any of the
languages seen in training. To do so, we propose the use of a universal
character set that is shared among all languages. We also create a
language-specific gating mechanism within the network that can modulate the
network's internal representations in a language-specific way. We evaluate our
proposed approach on the Microsoft Cortana task across three languages and show
that our system outperforms both the individual monolingual systems and systems
built with a multi-task learning approach. We also show that this model can be
used to initialize a monolingual speech recognizer, and can be used to create a
bilingual model for use in code-switching scenarios.Comment: submitted to ICASSP 201
Effects of kelp canopy removal on young-of-the-year rockfish abundance, using two census methods
In 1976 an experimental research project was initiated to examine the possible effects of the removal of a giant kelp, Macrocystis pyrifera, canopy in a central California kelp bed on Young-of-the-Year (YOY) fish populations. A total of 7823 fishes was captured and marked using freeze branding. Pre-canopy removal population estimates were made using the Schnabel method and post-canopy removal population estimates were made using the Petersen method (Lincoln Index). A significant (p < .0004) reduction of fish occurred immediately after the canopy was removed and the population remained at a reduced level for at least 60 days. This information warranted the creation of a second expanded project.
In 1977 we established three study areas consisting of a kelp bed to be harvested (C), a kelp bed not to be harvested (NC) and a control kelp bed. We captured and marked over 82,000 YOY fish in Areas C and NC. Using the same statistical methods from the 1976 study, a significant reduction was found to occur in fish populations within harvested Area C and unharvested area NC: however, the reductions were not significantly different between the two areas. The large reduction in the fish population in the
harvested area occurred when fish moved into the unharvested
area. The large, unexpected reduction in fish numbers in the
unharvested area (NC) occurred when larger predatory YOY bocaccio moved into the control area (X) as the experimental area (C) was being harvested. The bocaccio removed in excess of 20% of the biomass of YOY blue rockfish, which was composed of resident fish and recently migrated fish from the harvested kelp bed. Predation on YOY blue rockfish was also evident in the harvested area.
Population estimates using visible fish transects by divers
correlated well with population estimates from the
capture/recapture studies in 1976, but correlation was poorer the following year when many more fish were present. (32pp.
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