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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analytic smoothing effect of a class of ultra-parabolic equations
一类超抛物型方程 解析 光滑效应
2023/11/29
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Smoothing invariant is equivalent to harmonic
平滑不变 等价 谐波 调和函数
2023/4/23
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Squared Smoothing Newton Method for Semidefinite Programming
半定规划 平方平滑 牛顿方法
2023/4/14
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...
Worst-Case Hardness for LPN and Cryptographic Hashing via Code Smoothing
LPN Worst-Case to Average Case Reductions Collision-Resistant Hashing
2018/3/23
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...
Frequency-smoothing encryption: preventing snapshot attacks on deterministically-encrypted data
encrypted database snapshot attack inference attack
2017/11/13
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...
Curve smoothing and transformations in the development of growth curves
Anthropometry body weight body height
2016/5/31
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...
Estimating Mixture of Gaussian Processes by Kernel Smoothing
Identifiability EM algorithm Kernel regression Gaussian process Functional principal component analysis
2016/1/26
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...
On Smoothing Estimation For Seasonal Times Series With Long Cycles
Large deviation Large p, small n Optimal detection boundary Sparse signal Thresholding Weak dependence
2016/1/25
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...
Estimating Mixture of Gaussian Processes by Kernel Smoothing
Identifiability EM algorithm Kernel regression Gaussian process Functional principal component analysis
2016/1/20
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...
On Smoothing Estimation For Seasonal Times Series With Long Cycles
Kernel estimator M-dependent seasonal-dummy ap- proach
2016/1/20
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 ...
Vectorization, Edge Preserving Smoothing and Dimensioning of Profiles in Laser Scanner Point Clouds
Laser scanning Edge preserving smoothing Profile
2015/12/16
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...
Study on Smoothing Browser in Multi-view Virtual Space Based on Panorama
Panoramic image Multi-viewpoints Smoothing browser Image Stitching
2015/12/3
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...
Reliability of Three-Dimensional Linear Kinematics and Kinetics of Swimming Derived from Digitized Video at 25 and 50 Hz with 10 and 5 Frame Extensions to the 4th Order Butterworth Smoothing Window
Inverse dynamics reliability swimming
2015/8/28
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...