A {\em spanning configuration} in the complex vector space Ck is
a sequence (W1,…,Wr) of linear subspaces of Ck such that
W1+⋯+Wr=Ck. We present the integral cohomology of the
modul...
The Einstein Relation on Metric Measure Spaces
March 17, 2019
| | |
Mathematics
Functional Analysis
Probability
Functional Analysis
Probability
This note is based on F. Burghart's master thesis at Stuttgart university
from July 2018, supervised by Prof. Freiberg.
We review the Einstein relation, which connects the Hausdorff, local walk and
spectral dimensions on a space, in the a...
Multi-camera calibration with pattern rigs, including for
non-overlapping cameras: CALICO
March 15, 2019
| | |
Computer Science
Computer Vision and Pattern Recognition
This paper describes CALICO, a method for multi-camera calibration suitable
for challenging contexts: stationary and mobile multi-camera systems, cameras
without overlapping fields of view, and non-synchronized cameras. Recent
approaches ar...
Lifting coarse homotopies
March 14, 2019
|
Mathematics
Geometric Topology
Metric Geometry
Geometric Topology
Metric Geometry
Coarse geometry, and in particular coarse homotopy theory, has proven to be a
powerful tool for approaching problems in geometric group theory and higher
index theory. In this paper, we continue to develop theory in this area by
proving a C...
The triangle inequality for graded real vector spaces
March 14, 2019
|
Mathematics
General Mathematics
In this paper, we prove that a natural candidate for a homogeneous norm on a
graded Lie algebra of any length satisfies the triangle inequality which
answers Moskowitz's question....
Topological properties of Wazewski dendrite groups
March 13, 2019
|
Mathematics
Group Theory
Dynamical Systems
Logic
Group Theory
Dynamical Systems
Logic
Homeomorphism groups of generalized Wa\.zewski dendrites act on the infinite
countable set of branch points of the dendrite and thus have a nice Polish
topology. In this paper, we study them in the light of this Polish topology.
The group o...
Quantum Walk and Quantum Billiards. Towards a better understanding of
Quantum Chaos
March 12, 2019
| | |
Physics
Quantum Physics
Quantum Physics
Quantum billiards have been simulated so far in many ways, but in this work a
new aproximation is considerated. This study is based on the quantum billiard
already obtained by others authors via a tensor product of two 1-D quantum
walks . C...
Quantization and the Resolvent Algebra
March 12, 2019
|
Mathematics
Functional Analysis
Functional Analysis
We introduce a novel commutative C*-algebra CR(X) of functions
on a symplectic vector space (X,σ) admitting a complex structure, along
with a strict deformation quantization that maps a dense subalgebra of
$C_\mathcal{R}...
Elements of Sequential Monte Carlo
March 12, 2019
| | | | |
Statistics
Computer Science
Machine Learning
Machine Learning
Computation
Machine Learning
Machine Learning
Computation
A core problem in statistics and probabilistic machine learning is to compute
probability distributions and expectations. This is the fundamental problem of
Bayesian statistics and machine learning, which frames all inference as
expectation...
Flexible Clustering with a Sparse Mixture of Generalized Hyperbolic
Distributions
March 12, 2019
| | |
Statistics
Methodology
Machine Learning
Robust clustering of high-dimensional data is an important topic because
clusters in real datasets are often heavy-tailed and/or asymmetric. Traditional
approaches to model-based clustering often fail for high dimensional data,
e.g., due to...