Posterior Consistency for Gaussian Process Approximations of Bayesian
Posterior Distributions
March 7, 2016
|
Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
We study the use of Gaussian process emulators to approximate the
parameter-to-observation map or the negative log-likelihood in Bayesian inverse
problems. We prove error bounds on the Hellinger distance between the true
posterior distribut...
Existence and uniqueness theorems for solutions of McKean--Vlasov
stochastic equations
March 7, 2016
|
Mathematics
Probability
New weak and strong existence and weak and strong uniqueness results for
multi-dimensional stochastic McKean--Vlasov equations are established under
relaxed regularity conditions. Weak existence is a variation of Krylov's weak
existence for...
Generalizations of local bijectivity of Keller maps and a proof of
2-dimensional Jacobian conjecture
March 6, 2016
Mathematics
Physics
Algebraic Geometry
Mathematical Physics
Commutative Algebra
Mathematical Physics
Rings and Algebras
Using the local bijectivity of Keller maps, we give a proof of
two-dimensional Jacobian conjecture....
Solution of Hypergraph Turan problem
March 1, 2016
Mathematics
Combinatorics
Using original {\it Symmetrical Smoothing Method} we solve (3,k)-
hypergraph Turan problem...
Homogenization of a mean field game system in the small noise limit
February 26, 2016
| |
Mathematics
Analysis of PDEs
This paper concerns the simultaneous effect of homogenization and of the
small noise limit for a 2nd order mean field games (MFG) system
with local coupling and quadratic Hamiltonian. We show under some additional
assumptions...
Algebraic Databases
February 10, 2016
| | | | | | |
Mathematics
Computer Science
Category Theory
Databases
Category Theory
Databases
Databases have been studied category-theoretically for decades. The database
schema -- whose purpose is to arrange high-level conceptual entities -- is
generally modeled as a category or sketch. The data itself, often called an
instance, is...
Isolated elliptic fixed points for smooth Hamiltonians
February 8, 2016
|
Mathematics
Dynamical Systems
We construct on R2d, for any d≥3, smooth Hamiltonians having an
elliptic equilibrium with an arbitrary frequency, that is not accumulated by a
positive measure set of invariant tori. For d≥4, the Hamiltonians we
construct...
What is the absolutely continuous spectrum?
February 4, 2016
| | | | | | |
Physics
Mathematics
Mathematical Physics
Statistical Mechanics
Mathematical Physics
Quantum Physics
Mathematical Physics
Statistical Mechanics
Mathematical Physics
Quantum Physics
We summarize (and comment on) the research program carried out in (CMP 319,
501 (2013)), (CMP 338, 347 (2015)), (CMP 344, 959 (2016), (LMP 106, 787
(2016)). This program is devoted to the characterization of the absolutely
continuous spectr...
Bayesian Dynamic Quantile Model Averaging
February 2, 2016
| | |
Mathematics
Statistics
Statistics Theory
Methodology
Statistics Theory
This article introduces a novel dynamic framework to Bayesian model averaging
for time-varying parameter quantile regressions. By employing sequential Markov
chain Monte Carlo, we combine empirical estimates derived from dynamically
chosen ...
Symplectic resolutions of quiver varieties
January 30, 2016
|
Mathematics
Algebraic Geometry
Representation Theory
In this article, we consider Nakajima quiver varieties from the point of view
of symplectic algebraic geometry. We prove that they are all symplectic
singularities in the sense of Beauville and completely classify which admit
symplectic res...