METHODS OF USING GENERALIZED ORDER DIFFERENTIATION AND INTEGRATION OF INPUT VARIABLES TO FORECAST TRENDS
First Claim
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1. A method for generating a forecast in a custom computing apparatus comprising at least one processor and a memory, the method comprising:
- receiving, in the memory, a plurality of data points of a measurement;
accessing, by the at least one processor the plurality of data points;
calculating, by the at least one processor, a forecast for the measurement with a mathematical method using one or more differentiation or integration of the plurality of data points as inputs, wherein at least one of the one or more differentiation or integration is a non-integer or variable order differentiation or integration.
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Abstract
Disclosed are methods and apparatuses to generate a forecast based on generalized differentiation or integration, including but not limited to non-integer or variable order differentiation or integration.
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Citations
19 Claims
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1. A method for generating a forecast in a custom computing apparatus comprising at least one processor and a memory, the method comprising:
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receiving, in the memory, a plurality of data points of a measurement; accessing, by the at least one processor the plurality of data points; calculating, by the at least one processor, a forecast for the measurement with a mathematical method using one or more differentiation or integration of the plurality of data points as inputs, wherein at least one of the one or more differentiation or integration is a non-integer or variable order differentiation or integration. - View Dependent Claims (2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19)
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3. A custom computing apparatus comprising:
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at least one processor; a memory coupled to the at least one processor; a storage medium in communication with the memory and the at least one processor, the storage medium containing a set of processor executable instructions that, when executed by the processor configure the custom computing apparatus to generate a forecast, comprising a configuration to; receive, in the memory, a plurality of data points of a measurement; access, by the at least one processor the plurality of data points; and calculate, by the at least one processor, a forecast for the measurement with a mathematical method using one or more differentiation or integration of the plurality of data points as inputs, wherein at least one of the one or more differentiation or integration is a non-integer or variable order differentiation or integration.
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Specification