Conditions for representation of a function of many arguments as the
difference of convex functions
August 19, 2017
Mathematics
Optimization and Control
There are given conditions for represention of a function of many arguments
as the difference of convex functions....
Design, Configuration, Implementation, and Performance of a Simple 32
Core Raspberry Pi Cluster
August 17, 2017
Computer Science
Distributed, Parallel, and Cluster Computing
In this report, I describe the design and implementation of an inexpensive,
eight node, 32 core, cluster of raspberry pi single board computers, as well as
the performance of this cluster on two computational tasks, one that requires
signif...
Bayesian Network Regularized Regression for Modeling Urban Crime
Occurrences
August 16, 2017
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Statistics
Applications
Analyses of occurrences of residential burglary in urban areas have shown
that crime rates are not spatially homogeneous: rates vary across the network
of city streets, resulting in some areas being far more susceptible to crime
than others...
High energy power-law tail in X-ray binaries spectrum and bulk
Comptonization due to a conical outflow from a disk
August 15, 2017
Physics
High Energy Astrophysical Phenomena
X-ray binaries (XRBs) often exhibit a high energy power-law tail (HEP-tail)
and these tails can be generated by bulk Comptonization (BMC) process with a
free-fall bulk region onto the compact object. The radio emission (which is
generated b...
Effect of strength of gravitational field on the rate of chemical
reactions
August 14, 2017
Physics
Chemical Physics
The magnitude of the rate of chemical reactions also depends on the position
in the gravitational field, where a chemical reaction is being carried out. At
weaker gravitational field rate of reaction is greater than the rate of
reaction at ...
Two loop QCD corrections for the process Pseudo-scalar Higgs
→3 partons
August 8, 2017
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Physics
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We present virtual contributions up to two loop level in perturbative Quantum
Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson (A) to three
gluons (g) and also to quark (q), anti-quark (q) and a gluon.
With ap...
All Zeros of the Riemann Zeta Function in the Critical Strip are Located
on the Critical Line and are Simple
August 3, 2017
Mathematics
General Mathematics
In this paper we study the function G(z):=∫0∞yz−1(1+exp(y))−1dy\,, for z∈C\,. We derive a functional equation that relates
G(z) and G(1−z) for all z∈C\,, and we prove:
...
Solutions of the Sinh-Gordon Equation of Spectral Genus Two and
constrained Willmore Tori I
August 2, 2017
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Mathematics
Differential Geometry
Differential Geometry
We investigate solutions of the elliptic sinh-Gordon equation of spectral
genus g<3. These solutions are parametrized by complex matrix-valued
polynomials called potentials. On the space of these potentials there act two
commuting flows. Th...
Quantisation of derived Poisson structures
August 1, 2017
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Mathematics
Algebraic Geometry
Quantum Algebra
Algebraic Geometry
Quantum Algebra
We prove that every 0-shifted Poisson structure on a derived Artin
n-stack admits a curved A∞ deformation quantisation whenever the
stack has perfect cotangent complex; in particular, this applies to LCI
schemes, where it give...
The duality structure gradient descent algorithm: analysis and
applications to neural networks
August 1, 2017
Computer Science
Mathematics
Machine Learning
Optimization and Control
The training of machine learning models is typically carried out using some
form of gradient descent, often with great success. However, non-asymptotic
analyses of first-order optimization algorithms typically employ a gradient
smoothness a...