We improve existing explicit bounds of Vinogradov-Korobov type for zero-free
regions of the Riemann zeta function, both for large height t and for every t.
A primary input is an explicit bound of the author (Proc. London Math. Soc. 85
(2002...
Universal relations and bounds for fluctuations in quasistatic small
heat engines
October 17, 2019
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Physics
Statistical Mechanics
Classical Physics
Statistical Mechanics
Classical Physics
The efficiency of any heat engine, defined as the ratio of average work
output to heat input, is bounded by Carnot's celebrated result. However, this
measure is insufficient to characterize the properties of miniaturized heat
engines carryi...
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...
Question Classification with Deep Contextualized Transformer
October 17, 2019
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Computer Science
Computation and Language
Artificial Intelligence
The latest work for Question and Answer problems is to use the Stanford Parse
Tree. We build on prior work and develop a new method to handle the Question
and Answer problem with the Deep Contextualized Transformer to manage some
aberrant e...
Derived deformation theory of algebraic structures
October 16, 2019
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Mathematics
Algebraic Topology
Quantum Algebra
The main purpose of this article is to develop an explicit derived
deformation theory of algebraic structures at a high level of generality,
encompassing in a common framework various kinds of algebras (associative,
commutative, Poisson...)...
Deep Semantic Segmentation of Natural and Medical Images: A Review
October 16, 2019
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Computer Science
Electrical Engineering and Systems Science
Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
The semantic image segmentation task consists of classifying each pixel of an
image into an instance, where each instance corresponds to a class. This task
is a part of the concept of scene understanding or better explaining the global
cont...
Invitation to Hadamard matrices
October 15, 2019
Mathematics
Combinatorics
Probability
An Hadamard matrix is a square matrix H∈MN(±1) whose rows and
pairwise orthogonal. More generally, we can talk about the complex Hadamard
matrices, which are the square matrices H∈MN(C) whose entries are
on the unit ci...
Canonical bundle formula and degenerating families of volume forms
October 15, 2019
Mathematics
Algebraic Geometry
Complex Variables
Differential Geometry
General canonical bundle formula due to Kawamata and others has played
fundamental roles in algebraic geometry. We show that the canonical bundle
formula has analytic characterization in terms of fiberwise integration, which
confirms a folk...