Systems for Second-Order Predictive Data Analytics, And Related Methods and Apparatus
First Claim
1. A predictive modeling method comprising:
- obtaining a fitted, first-order predictive model, wherein the first-order predictive model is configured to predict values of one or more output variables of a prediction problem based on values of one or more first input variables; and
performing a second-order predictive modeling procedure on the fitted, first-order model, wherein the second-order modeling procedure is associated with a second-order predictive model, and wherein performing the second-order predictive modeling procedure on the fitted, first-order model includes;
generating second-order input data including a plurality of second-order observations, wherein each second-order observation includes respective observed values of one or more second input variables and predicted values of the output variables, and wherein generating the second-order input data comprises, for each second-order observation;
obtaining the respective observed values of the second input variables and corresponding observed values of the first input variables, and applying the first-order predictive model to the corresponding observed values of the first input variables to generate the respective predicted values of the output variables,generating, from the second-order input data, second-order training data and second-order testing data,generating a fitted second-order predictive model of the fitted first-order model by fitting the second-order predictive model to the second-order training data, andtesting the fitted, second-order predictive model of the fitted first-order model on the second-order testing data.
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Abstract
A predictive modeling method may include obtaining a fitted, first-order predictive model configured to predict values of output variables based on values of first input variables; and performing a second-order modeling procedure on the fitted, first-order model, which may include: generating input data including observations including observed values of second input variables and predicted values of the output variables; generating training data and testing data from the input data; generating a fitted second-order model of the fitted first-order model by fitting a second-order model to the training data; and testing the fitted, second-order model of the first-order model on the testing data. Each observation of the input data may be generated by (1) obtaining observed values of the second input variables, and (2) applying the first-order predictive model to corresponding observed values of the first input variables to generate the predicted values of the output variables.
16 Citations
44 Claims
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1. A predictive modeling method comprising:
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obtaining a fitted, first-order predictive model, wherein the first-order predictive model is configured to predict values of one or more output variables of a prediction problem based on values of one or more first input variables; and performing a second-order predictive modeling procedure on the fitted, first-order model, wherein the second-order modeling procedure is associated with a second-order predictive model, and wherein performing the second-order predictive modeling procedure on the fitted, first-order model includes; generating second-order input data including a plurality of second-order observations, wherein each second-order observation includes respective observed values of one or more second input variables and predicted values of the output variables, and wherein generating the second-order input data comprises, for each second-order observation;
obtaining the respective observed values of the second input variables and corresponding observed values of the first input variables, and applying the first-order predictive model to the corresponding observed values of the first input variables to generate the respective predicted values of the output variables,generating, from the second-order input data, second-order training data and second-order testing data, generating a fitted second-order predictive model of the fitted first-order model by fitting the second-order predictive model to the second-order training data, and testing the fitted, second-order predictive model of the fitted first-order model on the second-order testing data. - View Dependent Claims (2, 3, 12, 16, 18, 19, 20, 21, 22, 23, 27, 28, 31, 32, 33)
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4-11. -11. (canceled)
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13-15. -15. (canceled)
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17. (canceled)
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24-26. -26. (canceled)
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29. (canceled)
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30. A predictive modeling apparatus comprising:
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a memory configured to store a machine-executable module encoding a second-order predictive modeling procedure associated with a second-order predictive model, wherein the second-order predictive modeling procedure includes a plurality of tasks including at least one pre-processing task and at least one model-fitting task; and at least one processor configured to execute the machine-executable module, wherein executing the machine-executable module causes the apparatus to perform the second-order predictive modeling procedure on a fitted, first-order predictive model, including; performing the pre-processing task, including obtaining the fitted, first-order predictive model, wherein the first-order predictive model is configured to predict values of one or more output variables of a prediction problem based on values of one or more first input variables; and performing the model-fitting task, including; generating second-order input data including a plurality of second-order observations, wherein each second-order observation includes respective observed values of one or more second input variables and predicted values of the output variables, and wherein generating the second-order input data comprises, for each second-order observation;
obtaining the respective observed values of the second input variables and corresponding observed values of the first input variables, and applying the first-order predictive model to the corresponding observed values of the first input variables to generate the respective predicted values of the output variables,generating, from the second-order input data, second-order training data and second-order testing data, generating a fitted second-order predictive model of the fitted first-order model by fitting the second-order predictive model to the second-order training data, and testing the fitted, second-order predictive model of the fitted first-order model on the second-order testing data. - View Dependent Claims (34, 35, 36, 37, 38, 39, 40, 41, 42, 43)
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44. An article of manufacture having computer-readable instructions stored thereon that, when executed by a processor, cause the processor to perform operations including:
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obtaining a fitted, first-order predictive model, wherein the first-order predictive model is configured to predict values of one or more output variables of a prediction problem based on values of one or more first input variables; and performing a second-order predictive modeling procedure on the fitted, first-order model, wherein the second-order modeling procedure is associated with a second-order predictive model, and wherein performing the second-order predictive modeling procedure on the fitted, first-order model includes; generating second-order input data including a plurality of second-order observations, wherein each second-order observation includes respective observed values of one or more second input variables and predicted values of the output variables, and wherein generating the second-order input data comprises, for each second-order observation;
obtaining the respective observed values of the second input variables and corresponding observed values of the first input variables, and applying the first-order predictive model to the corresponding observed values of the first input variables to generate the respective predicted values of the output variables,generating, from the second-order input data, second-order training data and second-order testing data, generating a fitted second-order predictive model of the fitted first-order model by fitting the second-order predictive model to the second-order training data, and testing the fitted, second-order predictive model of the fitted first-order model on the second-order testing data.
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Specification