The ACPATH Metric: Precise Estimation of the Number of Acyclic Paths in
C-like Languages
October 25, 2016
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Computer Science
Software Engineering
Programming Languages
NPATH is a metric introduced by Brian A. Nejmeh in [13] that is aimed at
overcoming some important limitations of McCabe's cyclomatic complexity.
Despite the fact that the declared NPATH objective is to count the number of
acyclic execution...
On Yomdin's version of a Lipschitz Implicit Function Theorem and the
geometry of medial axes
October 25, 2016
Mathematics
Metric Geometry
In his beautiful paper on the central set from 1981, Y. Yomdin makes use of a
Lipschitz Inverse Function Theorem that seemingly has been unproved until now.
After a brief discussion of a natural and straightforward Lipschitz counterpart
of ...
Observation of an excess at 30 GeV in the opposite sign di-muon spectra
of Z0→bb+X events recorded by the ALEPH
experiment at LEP
October 20, 2016
Physics
High Energy Physics - Experiment
The re-analysis of the archived data recorded at the Z0 resonance
by the ALEPH experiment at LEP during the years 1992-1995 shows an excess in
the opposite sign di-muon mass spectra at 30.40 ± 0.46 GeV in events
containing b ...
Schertz style class invariants for higher degree CM fields
October 14, 2016
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Mathematics
Number Theory
Special values of Siegel modular functions for Sp(Z) generate class fields of CM fields. They also yield abelian
varieties with a known endomorphism ring. Smaller alternative values of modular
functions that lie i...
Additive Combinatorics Using Equivariant Cohomology
October 8, 2016
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Mathematics
Combinatorics
Algebraic Geometry
Algebraic Topology
We introduce a geometric method to study additive combinatorial problems.
Using equivariant cohomology we reprove the Dias da Silva-Hamidoune theorem. We
improve a result of Sun on the linear extension of the Erd\H{o}s-Heilbronn
conjecture....
Existence and applications of Ricci flows via pseudolocality
October 6, 2016
Mathematics
Differential Geometry
We prove the short-time existence of Ricci flows on complete manifolds with
scalar curvature bounded below uniformly, Ricci curvature bounded below by a
negative quadratic function, and with almost Euclidean isoperimetric inequality
holds l...
O(m9) network flow LP model of the Assignment Problem polytope with
applications to hard combinatorial optimization problems
October 2, 2016
Computer Science
Mathematics
Data Structures and Algorithms
Computational Complexity
Discrete Mathematics
Combinatorics
Optimization and Control
In this paper, we present a new, network flow LP model of the standard
Assignment Problem (AP) polytope. The model is not meant to be competitive with
existing standard procedures for solving the AP, as its complexity order of
size is $O(m^...
The Pointillist principle for variation operators and jump functions
October 2, 2016
Mathematics
Classical Analysis and ODEs
We extend the pointillist principles of Moon and Carrillo--de Guzm\'an to
variational operators and jump functions....
Deep Feature Consistent Variational Autoencoder
October 2, 2016
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Computer Science
Computer Vision and Pattern Recognition
We present a novel method for constructing Variational Autoencoder (VAE).
Instead of using pixel-by-pixel loss, we enforce deep feature consistency
between the input and the output of a VAE, which ensures the VAE's output to
preserve the sp...
Generalized superelliptic Riemann surfaces
September 29, 2016
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Mathematics
Algebraic Geometry
A closed Riemann surface X, of genus g≥2, is called a
generalized superelliptic curve of level n≥2 if it admits an order n
conformal automorphism τ so that X/⟨τ⟩ has
genus zero and...