a priori distribution

First, review the feature and disadvantages of existing major padding algorithm, such as existence of redundant information system, the requirement of a priori probability distribution, no sparse degree dealing.

首先研究目前一些主要数据补齐算法所存在缺陷：产生冗余信息系统、需先验属性值分布概率、无稀疏数据处理等。

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According to a priori exact probability or experts estimate that the probability, the classical Expectation-Maximization algorithm calculates the joint fault probability distribution and probability distribution of marginal respectively.

根据观测的信息或专家经验估计阀件的先验概率，最大期望估计算法学习各个阀件故障的联合概率分布和边缘概率分布。

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We propose the algorithm of image restoration based on Bayesian theory mathematically, which starts with the general theory of parameter estimation and a priori distribution of the image, combined with the classical parameter estimation problems in image restoration field.

从参数估计的一般理论及图像的先验分布入手，结合图像复原问题中的经典参数估计问题，提出了贝叶斯理论下图像复原算法的数学描述，并且用实证分析法进行了数学实验。

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Based on typicality theorem of the quantum statistical physics, we find that equiprobable distribution corresponding to the priori probabilities hypothesis is not necessary to deduce to the canonical distribution. A more generalized class of distributions can lead to the canonical distribution. 2.

我们在量子统计的典型性定理的基础上发现，在热力学极限下，等概率假设对应的等概率分布并不是导出正则分布的必要条件，存在一类更普遍的分布可以导出正则分布。

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A Priori SNR Estimation Based on the Density Distribution of a Posterior SNR

基于后验信噪比概率密度分布的先验信噪比估计

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In order to determine the a priori distribution of these submodels, a half plane Markov random field model is utilized to describe the distribution of the line process.

半平面MRF（Markov Random Field）模型描述线过程的分布，以确定各个子模型的先验概率。

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It possesses quite good filtering robustness and does not require a priori statistic distribution knowledge of the image.

它不需要先验的图象统计分布知识，具有良好的滤波韧性。

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A Priori Distribution Selection Based on Bayesian Decision-Making

基于贝叶斯决策的先验分布的选取方法

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