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Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Discovering and Orienting the Edges Connected to a Target Variable in a DAG via a Sequential Local Learning Approach
Causal network Directed acyclic graph Discover causes and effects
2016/1/20
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
Local Polynomial Regression Based on Functional Data
Local polynomial smoothing derivative estimation functional data sampling density optimal bandwidth asymptotic normality
2011/9/15
Abstract: Suppose that $n$ statistical units are observed, each following the model $Y(x_j)=m(x_j)+ \epsilon(x_j),\, j=1,...,N,$ where $m$ is a regression function, $0 \leq x_1 <...
We derive an upper bound for the mean of the supremum of the empirical process indexed by a class of functions that are known to have variance bounded by a small constant $\delta$. The bound is expres...
Mapping gravitational lensing of the CMB using local likelihoods
Mapping gravitational lensing the CMB local likelihoods
2011/1/4
We present a new estimation method for mapping the gravitational lensing potential from observed CMB intensity and polarization fields. Our method uses Bayesian techniques to estimate the average curv...
Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Local quasiconvexity Coherence Small-cancellation Relative hyperbolicity
2010/12/8
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
Minimal models, formality and hard Lefschetz properties of solvmanifolds with local systems
solvmanifold Sullivan’s minimal model formality Hard Lefschetz property
2010/12/3
For a simply connected solvable Lie group G with a cocompact discrete subgroup , we consider the space of differential forms on the solvmanifold G/with values in certain flat bundl...
ASYMPTOTIC EFFICIENCY AND LOCAL OPTIMALITY OF DISTRIBUTION { FREE TESTS BASED ON U- AND V-STATISTICS
U-statistics large deviations Bahadur eÆ ciency local optimality.
2014/6/27
Many well-known goodness-of- t and symmetry tests are based on U- et V-statistics. Recent progress in the analysis of their large deviations enables to nd new expressions for their local Bahadur e...