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We study a class of ultra-parabolic equations, it is a high order degenerate parabolic operators of Hormander type, so it is strongly degenerate, but we prove that this class operators possesses the a...
It is well known that harmonic function is smoothing invariant when convolved with the standard mollifier, which gives a quick proof of the smoothness of the harmonic function. In this talk, we will c...
This paper proposes a squared smoothing Newton method via the Huber smoothing function for solving semidefinite programming problems (SDPs). We first study the fundamental properties of the matrix-val...
We present a worst case decoding problem whose hardness reduces to that of solving the Learning Parity with Noise (LPN) problem, in some parameter regime. Prior to this work, no worst case hardness re...
Naveed, Kamara, and Wright (CCS 2015) applied classical frequency analysis to carry out devastating inference attacks on databases in which the columns are encrypted with deterministic and order-prese...
Growth charts such as those published by the National Center for Health Statistics (NCHS) consist of a set of smoothed percentile curves showing the distribution of different aspects of body size f...
When the functional data are not homogeneous, e.g., there exist multiple classes of func-tional curves in the dataset, traditional estimation methods may fail. In this paper, we propose a new estimati...
We consider two alternative tests to the Higher Criticism test of Donoho and Jin (2004) for high dimensional means under the spar-sity of the non-zero means for sub-Gaussian distributed data with unkn...
When the functional data are not homogeneous, e.g., there exist multiple classes of func-tional curves in the dataset, traditional estimation methods may fail. In this paper, we propose a new estimati...
We consider a kernel smoothing estimator to the periodic component of seasonal time series which have quite large periodicity relative to the length of the time series. The estimator is formulated by ...
Vectorization of raster data is very important in GIS. Adjacent vertices of vector graphics usually pass though the same vertical or horizontal straight lines after vectorization. This paper proposes ...
The 3D geometry of an object can be captured very efficiently using a terrestrial laser scanner. By modelling and visualisation of these 3D data, it is possible to obtain vectorized geometric informa...
In a scene which is not open, people cann’t watch the scene behind the barrier through the single-viewpoint. And the cross-cutting in the multi-viewpoints space can make up for its shortcomings. The P...
The purpose of this study was to explore the reliability of estimating three-dimensional (3D) linear kinematics and kinetics of a swimmer derived from digitized video and to assess the effect of f...
Classical statistical theory ignores model selection in assessing estimation accuracy. Here we consider bootstrap methods for computing standard errors and con dence intervals that take model selecti...

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