A Study to Optimize Heterogeneous Resources for Open IoT
November 24, 2017
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Computer Science
Distributed, Parallel, and Cluster Computing
Recently, IoT technologies have been progressed, and many sensors and
actuators are connected to networks. Previously, IoT services were developed by
vertical integration style. But now Open IoT concept has attracted attentions
which achiev...
Theory of Heat Equations for Sigma Functions
November 22, 2017
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Physics
Mathematics
Exactly Solvable and Integrable Systems
Algebraic Geometry
Number Theory
Exactly Solvable and Integrable Systems
Algebraic Geometry
Number Theory
We consider the heat equations satisfied by the sigma function associated
with a planar curve, extending and developing earlier pioneering work of
Buchstaber and Leykin. These heat equations lead to useful {\em linear}
recursive relations f...
Sparse Variable Selection on High Dimensional Heterogeneous Data with
Tree Structured Responses
November 22, 2017
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Statistics
Methodology
We consider the problem of sparse variable selection on high dimension
heterogeneous data sets, which has been taking on renewed interest recently due
to the growth of biological and medical data sets with complex, non-i.i.d.
structures and...
The Quantum A∞-Relations on the Elliptic Curve
November 21, 2017
Mathematics
Algebraic Geometry
We define and prove the existence of the Quantum A∞-relations on
the Fukaya category of the elliptic curve, using the notion of the Feynman
transform of a modular operad, as defined by Getzler and Kapranov. Following
Barannikov, t...
Computational analysis of short-range interactions between an edge
dislocation and an array of equally-spaced identical shearable or
non-shearable precipitates
November 20, 2017
Physics
Materials Science
The interaction between dislocations and precipitates plays an important role
in the mechanical behavior of alloys. To provide more insight into the physics
of this interaction, this research analyzes short-range interactions of an edge
dis...
Dirac and Weyl Fermions -- the Only Causal Systems
November 17, 2017
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Quantum Physics
Causal systems describe the localizability of relativistic quantum systems
complying with the principles of special relativity and elementary causality.
At their classification we restrict ourselves to real mass and finite spinor
systems. I...
Open Gromov-Witten theory without Obstruction
November 14, 2017
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Mathematics
Symplectic Geometry
Symplectic Geometry
Open Gromov-Witten invariants are defined as cycles of the multi-curve chain
complex, well defined up to isotopy....
Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous
Dimensions
November 14, 2017
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Physics
High Energy Physics - Phenomenology
We compute the one-loop anomalous dimensions of the low-energy effective
Lagrangian below the electroweak scale, up to terms of dimension six. The
theory has 70 dimension-five and 3631 dimension-six Hermitian operators that
preserve baryon ...
A unified framework for hard and soft clustering with regularized
optimal transport
November 12, 2017
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Computer Science
Statistics
Machine Learning
Machine Learning
In this paper, we formulate the problem of inferring a Finite Mixture Model
from discrete data as an optimal transport problem with entropic regularization
of parameter λ≥0. Our method unifies hard and soft clustering, the
Expec...
Bundle methods with quadratic cuts for deterministic and stochastic
strongly convex optimization problems
November 9, 2017
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Mathematics
Optimization and Control
We introduce two new methods for deterministic convex optimization problems:
QCC (Quadratic Cuts for Convex optimization) and QB (Quadratic Bundle method).
We prove the complexity of these methods for composite optimization problems
which a...