Complex robot navigation and control problems can be framed as policy search
problems. However, interactive learning in uncertain environments can be
expensive, requiring the use of data-efficient methods. Bayesian optimization
is an effici...
Phonon-induced renormalization of electron wave functions
March 2, 2020
|
Physics
Materials Science
The Allen-Heine-Cardona theory allows us to calculate phonon-induced electron
self-energies from first principles without resorting to the adiabatic
approximation. However, this theory has not been able to account for the change
of the elec...
How to choose the most appropriate centrality measure? A decision tree
approach
March 2, 2020
|
Physics
Computer Science
Mathematics
Physics and Society
Human-Computer Interaction
Machine Learning
Social and Information Networks
Metric Geometry
Centrality metrics play a crucial role in network analysis, while the choice
of specific measures significantly influences the accuracy of conclusions as
each measure represents a unique concept of node importance. Among over 400
proposed i...
Internal Boundary between Entanglement and Separability Within a Quantum
State
March 1, 2020
Physics
Quantum Physics
Quantum states are the key mathematical objects in quantum mechanics, and
entanglement lies at the heart of the nascent fields of quantum information
processing and computation. However, there has not been a general, necessary
and sufficien...
True and false discoveries with independent and sequential e-values
March 1, 2020
|
Statistics
Methodology
In this paper we use e-values in the context of multiple hypothesis testing
assuming that the base tests produce independent, or sequential, e-values. Our
simulation and empirical studies and theoretical considerations suggest that,
under t...
Proof of the Toponogov Conjecture on Complete Surfaces
February 28, 2020
|
Mathematics
Differential Geometry
We prove a conjecture of Toponogov on complete convex planes, namely that
such planes must contain an umbilic point, albeit at infinity. Our proof is
indirect. It uses Fredholm regularity of an associated Riemann-Hilbert boundary
value prob...
A Recursive Formula for Osculating Curves
February 28, 2020
Mathematics
Algebraic Geometry
Let X be a smooth complex projective variety. Using a construction devised
to Gathmann, we present a recursive formula for some of the Gromov-Witten
invariants of X. We prove that, when X is homogeneous, this formula gives
the number ...
Homotopy lifting property in symmetric products
February 28, 2020
Mathematics
Algebraic Topology
In this paper we prove the homotopy lifting property for symmetric products
SPm(X) and Fm(X), with X a Hausdorff topological space.
Furthermore, we introduce a new tool, the theory of topological puzzles, to get
a useful decompo...
On estimating the entropy of shallow circuit outputs
February 27, 2020
| | |
Physics
Computer Science
Quantum Physics
Computational Complexity
Quantum Physics
Computational Complexity
Estimating the entropy of probability distributions and quantum states is a
fundamental task in information processing. Here, we examine the hardness of
this task for the case of probability distributions or quantum states produced
by shall...
Generation, manipulation and detection of snake state trajectories of a
neutral atom in a ring-cavity
February 27, 2020
| |
Physics
Quantum Gases
Mesoscale and Nanoscale Physics
We propose a set-up to create and detect the atomic counterpart of snake
state trajectories which occur at the interface where the magnetic field
reverses direction. Such a magnetic field is generated by coupling two
counter-propagating mod...