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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...
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...
On a Generalization of Blaschke’s Rolling Theorem and the Smoothing of Surfaces
Blaschke’s Rolling Theorem generalized convexity
2015/8/20
A generalization of Blaschke’s Rolling Theorem for not necessarily convex sets is proved that exhibits an
intimate connection between a generalized notion of convexity, various concepts in mathematic...
GRANULOMETRIC SMOOTHING
SMOOTHING GRANULOMETRIC
2015/8/20
A new method for smoothing a multivariate data set is introduced
that is based on a simple geometric operation. This method is applied to
the problem of estimating level sets of a density and minimu...
Marginal Likelihood Computation for Hidden Markov Models via Generalized Two-Filter Smoothing
MarginalLikelihood Sequential MonteCarlo Generalized Two-Filter Smoothing
2012/11/21
In this note we introduce an estimate for the marginal likelihood associated to hidden Markov models (HMMs) using sequential Monte Carlo (SMC) approximations of the generalized two-filter smoothing de...
E±cient Algorithm for Time-optimal Feedrate Planning and Smoothing with Conˉned Chord Error and Acceleration
Time-optimal feedrate planning chord error conˉned acceleration discrete velocity searching feedrate smoothing
2013/9/9
In this paper, an e±cient algorithm is proposed to generate a smooth near-timeoptimal feedrate function along a parametric tool path for 3-axis CNC machining under a feedrate bound, an acceleration bo...
Heavy tailed solutions of multivariate smoothing transforms
Heavy tailed solutions multivariate smoothing transforms Probability
2012/6/29
Let $N > 1$ be a fixed integer and $(C_1,..., C_N,Q)$ a random element of $GL(d, \R)^N x \R^d$. We consider solutions of multivariate smoothing transforms, i.e. random variables $R$ satisfying $$R \eq...
A Stochastic Smoothing Algorithm for Semidefinite Programming
Semidefinite programming Gaussian smoothing eigenvalue problems
2012/4/18
We use a rank one Gaussian perturbation to derive a smooth stochastic approximation of the maximum eigenvalue function. We then combine this smoothing result with an optimal smooth stochastic optimiza...
The global existence of the smoothing solution for the Navier-Stokes equations
smoothing solution Poisson’s equation heat-conduct equation the Schauder fixed-point theorem
2011/8/24
Abstract: This paper discussed the global existence of the smoothing solution for the Navier-Stokes equations. At first, we construct the theory of the linear equations which is about the unknown four...
On sub-ideal causal smoothing filters
smoothing filters casual filters sub-ideal filters Hardy spaces
2011/3/1
Smoothing filters are studied for continuous time processes. The consideration is restricted by the linear causal filters represented as convolution integrals over the historical data. This filters ar...
High-dimensional ARMA model identification and its application to healthcare picture smoothing using a forgetting factor
N-dimensional ARMA Model Forgetting factor
2010/9/21
In this paper a set of formulations of an N-dimensional (ND) autoregressive-moving average (ARMA) model identification method, and a two-dimensional (2D) forgetting factor approach in time-series mode...
Sequential Monte Carlo (SMC) methods are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. We propose a new SMC algorithm to compute the expectation...
Fixed points of the smoothing transform: Two-sided solutions
Branching random walk characteristic function general branching processes
2010/12/6
Given a sequence (C, T) = (C, T1, T2, . . .) of real-valued random variables with Tj ≥ 0 for all j ≥ 1 and almost surely finite N = sup{j ≥1 : Tj > 0}, the smoothing transform associated with (C, T), ...