Operational Valuation for Energy Storage under Multi-stage Price
Uncertainties
October 21, 2019
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Mathematics
Optimization and Control
This paper presents an analytical method for calculating the operational
value of an energy storage device under multi-stage price uncertainties. Our
solution calculates the storage value function from price distribution
functions directly ...
Proof of two supercongruences of truncated hypergeometric series
4F3
October 19, 2019
Mathematics
Number Theory
Combinatorics
In this paper, we prove two supercongruences conjectured by Z.-W. Sun via the
Wilf-Zeilberger method. One of them is, for any prime p>3, \begin{align*}
\sum_{n=0}^{(p-1)/2}\frac{6n+1}{(-512)^n}\binom{2n}n^3&\equiv
p\left(\frac{-2}p\right)...
Universally Consistent K-Sample Tests via Dependence Measures
October 19, 2019
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Statistics
Computer Science
Machine Learning
Machine Learning
The K-sample testing problem involves determining whether K groups of data
points are each drawn from the same distribution. Analysis of variance is
arguably the most classical method to test mean differences, along with several
recent meth...
Image Restoration Using Deep Regulated Convolutional Networks
October 19, 2019
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Computer Science
Computer Vision and Pattern Recognition
Machine Learning
While the depth of convolutional neural networks has attracted substantial
attention in the deep learning research, the width of these networks has
recently received greater interest. The width of networks, defined as the size
of the recept...
Comparison studies between BHBT2:PC71BM composite nanotubes and its
bulk-heterojunction properties
October 19, 2019
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Physics
Applied Physics
In this study, we investigate the morphological, structural, and optical
properties of both bulk-heterojunction and composite nanotubes that composed of
thiophene-based small molecules BHBT2 and fullerene PC71BM. Mix-blended and
template-as...
Fusion and positivity in chiral conformal field theory
October 18, 2019
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Operator Algebras
Quantum Algebra
In this article we show that the conformal nets corresponding to WZW models
are rational, resolving a long-standing open problem. Specifically, we show
that the Jones-Wassermann subfactors associated with these models have finite
index. Thi...
Invariant Gibbs measures and global strong solutions for nonlinear
Schr\"odinger equations in dimension two
October 18, 2019
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Mathematics
Physics
Analysis of PDEs
Mathematical Physics
Mathematical Physics
We consider the defocusing nonlinear Schr\"odinger equation on T2
with Wick ordered power nonlinearity, and prove almost sure global
well-posedness with respect to the associated Gibbs measure. The heart of the
matter is the uni...
On birational boundedness of foliated surfaces
October 17, 2019
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Mathematics
Algebraic Geometry
Algebraic Geometry
In this paper we prove a result on the effective generation of
pluri-canonical linear systems on foliated surfaces of general type. Fix a
function P:Z≥0→Z, then there exists an integer
N1>0 such that if $(X,...
Koebe conjecture and the Weyl problem for convex surfaces in hyperbolic
3-space
October 17, 2019
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Mathematics
Geometric Topology
Complex Variables
We prove that the Koebe circle domain conjecture is equivalent to the Weyl
type problem that every complete hyperbolic surface of genus zero is isometric
to the boundary of the hyperbolic convex hull of the complement of a circle
domain. It...
Deep Weakly-Supervised Domain Adaptation for Pain Localization in Videos
October 17, 2019
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Computer Science
Computer Vision and Pattern Recognition
Automatic pain assessment has an important potential diagnostic value for
populations that are incapable of articulating their pain experiences. As one
of the dominating nonverbal channels for eliciting pain expression events,
facial expres...