Gradient learning for probabilistic ARMA time-series models

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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C702S182000, C702S183000, C702S184000, C706S021000

Reexamination Certificate

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07421380

ABSTRACT:
The subject invention leverages the conditional Gaussian (CG) nature of a continuous variable stochastic ARMAxptime series model to efficiently determine its parametric gradients. The determined gradients permit an easy means to construct a parametric structure for the time series model. This provides a gradient-based alternative to the expectation maximization (EM) process for learning parameters of the stochastic ARMAxptime series model. Thus, gradients for parameters can be computed and utilized with a gradient-based learning method for estimating the parameters. This allows values of continuous observations in a time series to be predicted utilizing the stochastic ARMAxptime series model, providing efficient and accurate predictions.

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