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Data are very important to build the digital mine. Data come from many sources, have different types and temporal states. Relations between one class of data and the other one, or between data and unknown parameters are more nonlinear. The unknown parameters are non-random or random, among which the random parameters often dynamically vary with time. Therefore it is not accurate and reliable to process the data in building the digital mine with the classical least squares method or the method of the common nonlinear least squares. So a generalized nonlinear dynamic least squares method to process data in building the digital mine is put forward. In the meantime, the corresponding mathematical model is also given. The generalized nonlinear least squares problem is more complex than the common nonlinear least squares problem and its solution is more difficultly obtained because the dimensions of data and parameters in the former are bigger. So a new solution model and the method are put forward to solve the generalized nonlinear dynamic least squares problem. In fact, the problem can be converted to two sub-problems, each of which has a single variable. That is to say, a complex problem can be separated and then solved. So the dimension of unknown parameters can be reduced to its half, which simplifies the original high dimensional equations. The method lessens the calculating load and opens up a new way to process the data in building the digital mine, which have more sources, different types and more temporal states. 相似文献
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动态最小二乘法的递推计算 总被引:1,自引:0,他引:1
本文从运动观点出发,提出一种顾及时间参数的动态最小二乘法递推计算格式,以减少不必要的重复计算,并可避免在计算中存贮大量的观测数据。 相似文献
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不同类型观测数据的动态最小二乘估计 总被引:5,自引:0,他引:5
本文研究、提出了不同类型观测数据的动态最小二乘估计和具有抵抗粗差能力的动态最小二乘抗差估计。这一问题的研究和解决对充分各种类型的观测数据于变形分析、提高变形分析成果的精确度有重要意义。 相似文献
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本文对变形监测网网形设计作了必要评价,在此基础上系统地论述了变形监测网网形结构的动态优化设计,相应地提出了一种新的设计模型和方法。 相似文献
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不同类型观测值非线性平差模型的降维解算 总被引:2,自引:0,他引:2
该文针对不同类型观测值的非线性最小二乘平差 ,介绍一种将问题分离后再解算的基于变尺度法的解析方法。在这种解算方法中 ,由于将待估参数分成了两部分 ,使原本庞大的高维方程组的解算得以简化 ,把待求参数的维数减半 ,大大提高了工作效率。并通过算例证明了它的可行性和有效性。 相似文献
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本文从变形监测是随时间而变化的动态系统出发,探讨和提出了考虑先验信息的动态平差模型。实践证明,它将提高监测网发现变形的能力. 相似文献