High-frequency analysis of parabolic stochastic PDEs with multiplicative
noise
August 12, 2019
Mathematics
Statistics
Probability
Statistics Theory
Statistics Theory
We consider the stochastic heat equation driven by a multiplicative Gaussian
noise that is white in time and spatially homogeneous in space. Assuming that
the spatial correlation function is given by a Riesz kernel of order $\alpha
\in (0,1...
Robust Bilevel Optimization for Near-Optimal Lower-Level Solutions
August 12, 2019
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Mathematics
Computer Science
Optimization and Control
Computer Science and Game Theory
Bilevel optimization problems embed the optimality of a subproblem as a
constraint of another optimization problem. We introduce the concept of
near-optimality robustness for bilevel optimization, protecting the upper-level
solution feasibi...
Asymptotic Validity and Finite-Sample Properties of Approximate
Randomization Tests
August 12, 2019
Statistics
Methodology
Machine Learning
Randomization tests rely on simple data transformations and possess an
appealing robustness property. In addition to being finite-sample valid if the
data distribution is invariant under the transformation, these tests can be
asymptotically...
On the invariance of the string topology coproduct
August 11, 2019
Mathematics
Algebraic Topology
Differential Geometry
Geometric Topology
We give a variant of Naef's formula for the failure of invariance of the
string topology coproduct under homotopy equivalences, using an obstruction
class build from the higher homotopy data one can associate to a homotopy
equivalence as we...
Refined moves for structure-preserving isomorphism of graph C*-algebras
August 10, 2019
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Mathematics
Operator Algebras
Dynamical Systems
Operator Algebras
Dynamical Systems
We formalize eight different notions of isomorphism among (unital) graph
C*-algebras, and initiate the study of which of these notions may be described
geometrically as generated by moves. We propose a list of seven types of moves
that we c...
Large Scale Geometries of Infinite Strings
August 10, 2019
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Computer Science
Logic in Computer Science
Formal Languages and Automata Theory
We introduce geometric consideration into the theory of formal languages. We
aim to shed light on our understanding of global patterns that occur on
infinite strings. We utilise methods of geometric group theory. Our emphasis is
on large sc...
Abnormal deflection of electrons crossing the boundary of two opposite
magnetic fields
August 10, 2019
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Physics
General Physics
This paper reports an experiment about abnormal deflection of cathode-ray in
odd-symmetric magnetic field. The measurement results show that during
cathode-ray passes through odd-symmetric magnetic field, a deflection opposite
to Lorentz fo...
Cubulating Surface-by-free Groups
August 9, 2019
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Mathematics
Geometric Topology
Group Theory
Let 1→H→G→Q→1 be an exact sequence where H=π1(S) is
the fundamental group of a closed surface S of genus greater than one, G is
hyperbolic and Q is finitely generated free. The aim of this paper is to
provide...
Symmetry, Unimodality, and Lefschetz Properties for Graded Modules
August 9, 2019
Mathematics
Commutative Algebra
Algebraic Geometry
We investigate the Weak Lefschetz Properties for modules whose minimal free
resolutions are given by generalized Kosuzl complexes in dimension three
through a careful study of their Betti numbers and the symmetry and unimodality
of their Hi...
Toward a Taxonomy of Inventory Systems for Virtual Reality Games
August 9, 2019
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Computer Science
Human-Computer Interaction
Virtual reality (VR) games are gradually becoming more elaborated and
feature-rich, but fail to reach the complexity of traditional digital games.
One common feature that is used to extend and organize complex gameplay is the
in-game invent...