We prove that every 0-shifted Poisson structure on a derived Artin
n-stack admits a curved A∞ deformation quantisation whenever the
stack has perfect cotangent complex; in particular, this applies to LCI
schemes, where it give...
The duality structure gradient descent algorithm: analysis and
applications to neural networks
August 1, 2017
Computer Science
Mathematics
Machine Learning
Optimization and Control
The training of machine learning models is typically carried out using some
form of gradient descent, often with great success. However, non-asymptotic
analyses of first-order optimization algorithms typically employ a gradient
smoothness a...
Wireless Multihop Quantum Teleportation Utilizing a 4-Qubit Cluster
State
July 31, 2017
| | | |
Physics
Computer Science
Mathematics
Quantum Physics
Information Theory
Information Theory
This paper proposes a quantum routing protocol using multihop teleportation
for wireless mesh backbone networks. After analyzing the quantum multihop
protocol, a four-qubit cluster state is selected as the quantum channel for the
protocol. ...
Formal Embeddings between BSD-Models
July 31, 2017
Mathematics
Complex Variables
It is studied the Classification Problem for Formal (Holomorphic) Embeddings
between Shilov Boundaries of Bounded Symmetric Domains of First Type....
Metric minimizing surfaces revisited
July 30, 2017
|
Mathematics
Differential Geometry
Metric Geometry
A surface which does not admit a length nonincreasing deformation is called
metric minimizing. We show that metric minimizing surfaces in CAT(0) spaces are
locally CAT(0) with respect to their intrinsic metric....
An application of p-adic integration to the dynamics of a birational
transformation preserving a fibration
July 29, 2017
|
Mathematics
Algebraic Geometry
Algebraic Geometry
Let f:X⇢X be a birational transformation of a
projective manifold X whose Kodaira dimension κ(X) is non-negative. We
show that, if there exist a meromorphic fibration π:X⇢B and a ps...
General fractals represented by F-limit sets of compression
maps
July 26, 2017
| |
Mathematics
Physics
Classical Analysis and ODEs
Dynamical Systems
Pattern Formation and Solitons
In this article, we provide a simple and systematic way to represent general
(inhomogeneous) fractals that may look different at different scales and
places. By using set-valued compression maps, we express these general fractals
as $\mathc...
Sparse Recovery With Multiple Data Streams: A Sequential Adaptive
Testing Approach
July 22, 2017
| |
Statistics
Methodology
Multistage design has been used in a wide range of scientific fields. By
allocating sensing resources adaptively, one can effectively eliminate null
locations and localize signals with a smaller study budget. We formulate a
decision-theoret...
Ideal hyperbolic polyhedra and discrete uniformization
July 21, 2017
|
Mathematics
Metric Geometry
Geometric Topology
Metric Geometry
Geometric Topology
We provide a constructive, variational proof of Rivin's realization theorem
for ideal hyperbolic polyhedra with prescribed intrinsic metric, which is
equivalent to a discrete uniformization theorem for spheres. The same
variational method i...
A C++ reasoner for the description logic
DLD4,× (Extended Version)
July 21, 2017
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Computer Science
Logic in Computer Science
We present an ongoing implementation of a KE-tableau based reasoner for a
decidable fragment of stratified elementary set theory expressing the
description logic DL⟨4LQSR,×⟩(D) (shortly
$...