2,384 research outputs found
Stream Sampling for Frequency Cap Statistics
Unaggregated data, in streamed or distributed form, is prevalent and come
from diverse application domains which include interactions of users with web
services and IP traffic. Data elements have {\em keys} (cookies, users,
queries) and elements with different keys interleave. Analytics on such data
typically utilizes statistics stated in terms of the frequencies of keys. The
two most common statistics are {\em distinct}, which is the number of active
keys in a specified segment, and {\em sum}, which is the sum of the frequencies
of keys in the segment. Both are special cases of {\em cap} statistics, defined
as the sum of frequencies {\em capped} by a parameter , which are popular in
online advertising platforms. Aggregation by key, however, is costly, requiring
state proportional to the number of distinct keys, and therefore we are
interested in estimating these statistics or more generally, sampling the data,
without aggregation. We present a sampling framework for unaggregated data that
uses a single pass (for streams) or two passes (for distributed data) and state
proportional to the desired sample size. Our design provides the first
effective solution for general frequency cap statistics. Our -capped
samples provide estimates with tight statistical guarantees for cap statistics
with and nonnegative unbiased estimates of {\em any} monotone
non-decreasing frequency statistics. An added benefit of our unified design is
facilitating {\em multi-objective samples}, which provide estimates with
statistical guarantees for a specified set of different statistics, using a
single, smaller sample.Comment: 21 pages, 4 figures, preliminary version will appear in KDD 201
Finite energy shifts in SU(n) supersymmetric Yang-Mills theory on T^3xR at weak coupling
We consider a semi-classical treatment, in the regime of weak gauge coupling,
of supersymmetric Yang-Mills theory in a space-time of the form T^3xR with
SU(n)/Z_n gauge group and a non-trivial gauge bundle. More specifically, we
consider the theories obtained as power series expansions around a certain
class of normalizable vacua of the classical theory, corresponding to isolated
points in the moduli space of flat connections, and the perturbative
corrections to the free energy eigenstates and eigenvalues in the weakly
interacting theory. The perturbation theory construction of the interacting
Hilbert space is complicated by the divergence of the norm of the interacting
states. Consequently, the free and interacting Hilbert furnish unitarily
inequivalent representation of the algebra of creation and annihilation
operators of the quantum theory. We discuss a consistent redefinition of the
Hilbert space norm to obtain the interacting Hilbert space and the properties
of the interacting representation. In particular, we consider the lowest
non-vanishing corrections to the free energy spectrum and discuss the crucial
importance of supersymmetry for these corrections to be finite.Comment: 31 pages, 1 figure, v4 Minor changes, references correcte
Neutrino tomography - Learning about the Earth's interior using the propagation of neutrinos
Because the propagation of neutrinos is affected by the presence of Earth
matter, it opens new possibilities to probe the Earth's interior. Different
approaches range from techniques based upon the interaction of high energy
(above TeV) neutrinos with Earth matter, to methods using the MSW effect on the
neutrino oscillations of low energy (MeV to GeV) neutrinos. In principle,
neutrinos from many different sources (sun, atmosphere, supernovae, beams etc.)
can be used. In this talk, we summarize and compare different approaches with
an emphasis on more recent developments. In addition, we point out other
geophysical aspects relevant for neutrino oscillations.Comment: 22 pages, 9 figures. Proceedings of ``Neutrino sciences 2005:
Neutrino geophysics'', December 14-16, 2005, Honolulu, USA. Minor changes,
some references added. Final version to appear in Earth, Moon, and Planet
Analytic Approximations for Three Neutrino Oscillation Parameters and Probabilities in Matter
The corrections to neutrino mixing parameters in the presence of matter of
constant density are calculated systematically as series expansions in terms of
the mass hierarchy \dm{21}/\dm{31}. The parameter mapping obtained is then
used to find simple, but nevertheless accurate formulas for oscillation
probabibilities in matter including CP-effects. Expressions with one to one
correspondence to the vacuum case are derived, which are valid for neutrino
energies above the solar resonance energy. Two applications are given to show
that these results are a useful and powerful tool for analytical studies of
neutrino beams passing through the Earth mantle or core: First, the
``disentanglement problem'' of matter and CP-effects in the CP-asymmetry is
discussed and second, estimations of the statistical sensitivity to the
CP-terms of the oscillation probabilities in neutrino factory experiments are
presented.Comment: 17 pages, 3 figure
Non-Standard Neutrino Interactions from a Triplet Seesaw Model
We investigate non-standard neutrino interactions (NSIs) in the triplet
seesaw model featuring non-trivial correlations between NSI parameters and
neutrino masses and mixing parameters. We show that sizable NSIs can be
generated as a consequence of a nearly degenerate neutrino mass spectrum. Thus,
these NSIs could lead to quite significant signals of lepton flavor violating
decays such as \mu^- \to e^- \nu_e anti\nu_\mu and \mu^+ \to e^+ anti\nu_e
\nu_\mu at a future neutrino factory, effects adding to the uncertainty in
determination of the Earth matter density profile, as well as characteristic
patterns of the doubly charged Higgs decays observable at the Large Hadron
Collider.Comment: 4 pages, 3 figures and 1 table; v2: minor corrections, Sect. IV
revise
(2,0) theory on circle fibrations
We consider (2,0) theory on a manifold M_6 that is a fibration of a spatial
S^1 over some five-dimensional base manifold M_5. Initially, we study the free
(2,0) tensor multiplet which can be described in terms of classical equations
of motion in six dimensions. Given a metric on M_6 the low energy effective
theory obtained through dimensional reduction on the circle is a Maxwell theory
on M_5. The parameters describing the local geometry of the fibration are
interpreted respectively as the metric on M_5, a non-dynamical U(1) gauge field
and the coupling strength of the resulting low energy Maxwell theory. We derive
the general form of the action of the Maxwell theory by integrating the reduced
equations of motion, and consider the symmetries of this theory originating
from the superconformal symmetry in six dimensions. Subsequently, we consider a
non-abelian generalization of the Maxwell theory on M_5. Completing the theory
with Yukawa and phi^4 terms, and suitably modifying the supersymmetry
transformations, we obtain a supersymmetric Yang-Mills theory which includes
terms related to the geometry of the fibration.Comment: 24 pages, v2 References added, typos correcte
QLC relation and neutrino mass hierarchy
Latest measurements have revealed that the deviation from a maximal solar
mixing angle is approximately the Cabibbo angle, i.e. QLC relation. We argue
that it is not plausible that this deviation from maximality, be it a
coincidence or not, comes from the charged lepton mixing. Consequently we have
calculated the required corrections to the exactly bimaximal neutrino mass
matrix ansatz necessary to account for the solar mass difference and the solar
mixing angle. We point out that the relative size of these two corrections
depends strongly on the hierarchy case under consideration. We find that the
inverted hierarchy case with opposite CP parities, which is known to guarantee
the RGE stability of the solar mixing angle, offers the most plausible scenario
for a high energy origin of a QLC-corrected bimaximal neutrino mass matrix.
This possibility may allow us to explain the QLC relation in connection with
the origin of the charged fermion mass matrices.Comment: 7 pages, 0 figure
Indirect Detection of Kaluza-Klein Dark Matter from Latticized Universal Dimensions
We consider Kaluza-Klein dark matter from latticized universal dimensions. We
motivate and investigate two different lattice models, where the models differ
in the choice of boundary conditions. The models reproduce relevant features of
the continuum model for Kaluza-Klein dark matter. For the model with simple
boundary conditions, this is the case even for a model with only a few lattice
sites. We study the effects of the latticization on the differential flux of
positrons from Kaluza-Klein dark matter annihilation in the galactic halo. We
find that for different choices of the compactification radius, the
differential positron flux rapidly converges to the continuum model results as
a function of the number of lattice sites. In addition, we consider the
prospects for upcoming space-based experiments such as PAMELA and AMS-02 to
probe the latticization effect.Comment: 25 pages, 9 figures, LaTeX. Final version published in JCA
Octet Baryon Magnetic Moments in the Chiral Quark Model with Configuration Mixing
The Coleman-Glashow sum-rule for magnetic moments is always fulfilled in the
chiral quark model, independently of SU(3) symmetry breaking. This is due to
the structure of the wave functions, coming from the non-relativistic quark
model. Experimentally, the Coleman-Glashow sum-rule is violated by about ten
standard deviations. To overcome this problem, two models of wave functions
with configuration mixing are studied. One of these models violates the
Coleman-Glashow sum-rule to the right degree and also reproduces the octet
baryon magnetic moments rather accurately.Comment: 22 pages, RevTe
EUROnu-WP6 2010 Report
This is a summary of the work done by the Working Package 6 (Physics) of the
EU project "EUROnu" during the second year of activity of the project.Comment: 82 pages, 51 eps figure
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