This paper provides welfare metrics for dynamic choice. We give estimation
and inference methods for functions of the expected value of dynamic choice.
These parameters include average value by group, average derivatives with
respect to end...
Wasserstein Distributionally Robust Optimization: Theory and
Applications in Machine Learning
August 23, 2019
| | |
Statistics
Computer Science
Mathematics
Machine Learning
Machine Learning
Optimization and Control
Many decision problems in science, engineering and economics are affected by
uncertain parameters whose distribution is only indirectly observable through
samples. The goal of data-driven decision-making is to learn a decision from
finitely...
Black holes in Einstein-Gauss-Bonnet gravity with a background of
modified Chaplygin gas
August 23, 2019
| |
Physics
General Relativity and Quantum Cosmology
Supposing the existence of modified Chaplygin gas with the equation of state
p=Aρ−B/ρβ as a cosmic background, we obtain a static
spherically-symmetric solution to the Einstein-Gauss-Bonnet gravitational
equations in 5D spaceti...
Proof of Brouwers Conjecture (BC) for all graphs with number of vertices
n > n0 assuming that BC holds for n< n0 for some n0
August 22, 2019
|
Mathematics
Combinatorics
Assuming that Brouwers Conjecture the upper bound for the sum of t< n largest
eigenvalues of Laplacian graph on n vertices true for n < n0 we prove the
Brouwers Conjecture BC for n > n0...
A tale of two shuffle algebras
August 22, 2019
Mathematics
Quantum Algebra
Representation Theory
As a quantum affinization, the quantum toroidal algebra is defined in terms
of its "left" and "right" halves, which both admit shuffle algebra
presentations. In the present paper, we take an orthogonal viewpoint, and give
shuffle algebra pr...
Groups of extended affine Lie type
August 21, 2019
|
Mathematics
Quantum Algebra
We construct certain Steinberg groups associated to extended affine Lie
algebras and their root systems. Then by the integration methods of Kac and
Peterson for integrable Lie algebras, we associate a group to every tame
extended affine Lie...
Finite spectral triples for the fuzzy torus
August 19, 2019
|
Mathematics
Physics
Quantum Algebra
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
Finite real spectral triples are defined to characterise the non-commutative
geometry of a fuzzy torus. The geometries are the non-commutative analogues of
flat tori with moduli determined by integer parameters. Each of these
geometries has...
Morphisms from a very general hypersurface
August 19, 2019
| |
Mathematics
Algebraic Geometry
Let X be a very general hypersurface of degree d in the projective
(n+1)-space with n≥3, and f:X→Y a non-birational surjective
morphism to a normal projective variety Y. We first prove that Y is a klt
Fano variety if ...
A technical remark on the Donaldson-Futaki invariant for Fano reductive
group compactifications
August 19, 2019
Mathematics
Algebraic Geometry
We present an elementary way of computing the Donaldson-Futaki invariant
associated to a test-configuration of an anti-canonically polarized Fano
reductive group compactification. In addition, we explain how to obtain
examples of real Einst...
Linear stability analysis for large dynamical systems on directed random
graphs
August 19, 2019
|
Quantitative Biology
Physics
Computer Science
Populations and Evolution
Physics and Society
Social and Information Networks
Disordered Systems and Neural Networks
Statistical Mechanics
We present a linear stability analysis of stationary states (or fixed points)
in large dynamical systems defined on random directed graphs with a prescribed
distribution of indegrees and outdegrees. We obtain two remarkable results for
such...