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...
Low-complexity Image and Video Coding Based on an Approximate Discrete
Tchebichef Transform
September 24, 2016
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Computer Science
Statistics
Multimedia
Computer Vision and Pattern Recognition
Data Structures and Algorithms
Computation
Methodology
The usage of linear transformations has great relevance for data
decorrelation applications, like image and video compression. In that sense,
the discrete Tchebichef transform (DTT) possesses useful coding and
decorrelation properties. The ...
Compressed Hypothesis Testing: To Mix or Not to Mix?
September 23, 2016
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Computer Science
Mathematics
Information Theory
Information Theory
In this paper, we study the problem of determining k anomalous random
variables that have different probability distributions from the rest (n−k)
random variables. Instead of sampling each individual random variable
separately as in the...
Review of multi-fidelity models
September 22, 2016
Statistics
Applications
Multi-fidelity models provide a framework for integrating computational
models of varying complexity, allowing for accurate predictions while
optimizing computational resources. These models are especially beneficial when
acquiring high-acc...
Quantum Wave Mechanics as the Magnetic Interaction of Dirac Particles
September 15, 2016
Physics
General Physics
It is shown that a wave mechanical quantum theory can be derived from
relativistic classical electrodynamics, as a feature of the magnetic
interaction of Dirac particles modeled as relativistically circulating point
charges. The magnetic fo...