# Eric Williamson, Willow Spring US

## Eric Williamson, Willow Spring, NC US

Patent application number | Description | Published |
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20120130979 | SYSTEMS AND METHODS FOR TRACKING DIFFERENTIAL CHANGES IN CONFORMAL DATA INPUT SETS - Embodiments relate to systems and methods for tracking differential changes in conformal data input sets. A database can store sets of operational data, such as financial, medical, climate or other information. For given data, a portion of the input data can be known or predetermined, while for a second portion can be unknown and subject to interpolation. The interpolation engine can generate a conformal interpolation function and interpolated input sets that map to a set of target output data. The operator can access a view of known (or interpolated) input data to view one or more series of interpolated input data, and analyze the differential between those interpolated values. The operator can for instance apply a constraint or filter to view only those interpolated series whose maximum marginal difference for any variable is less that a given threshold, such as ten percent, and graphically navigate between different series. | 05-24-2012 |

20120131014 | SYSTEMS AND METHODS FOR INTERPOLATING ALTERNATIVE INPUT SETS BASED ON USER-WEIGHTED VARIABLES - Embodiments relate to systems and methods for interpolating alternative input sets based on user-weighted variables. A database can store sets of operational data, such as financial, medical, climate or other information. For given data, a portion of the input data can be known or predetermined, while for a second portion can be unknown and subject to interpolation. The interpolation engine can generate a conformal interpolation function and interpolated input sets that map to a set of target output data. The operator can access a view or dialog on the set of known (or interpolated) input data to manually select different weights to be applied to one or more variables in the various input sets. By applying different groups of weights, the operator can study or simulate the effects of changing the relative importance of different inputs, and generate a series of different inputs and outputs based on those varying weights. | 05-24-2012 |

20120136824 | SYSTEMS AND METHODS FOR GENERATING INTERPOLATED INPUT DATA SETS USING REDUCTED INPUT SOURCE OBJECTS - Embodiments relate to systems and methods for generating interpolated input data sets using reduced input source objects. A database can store operational data, such as financial, climate or other information. A user can input or access a set of target data, representing output the user wishes to be generated from an interpolated set of input data based on an interpolation function. Thus, the average air temperature of a region may be known for the last ten years, along with other inputs such as water temperature, wind speed, etc. The target data can include an expected average temperature for the current year. The interpolation engine can receive the target temperature, and interpolate other climate inputs that will produce the target output temperature. The interpolation engine can also reduce the number of predetermined data objects or the dimensions of input data sets to generate interpolated inputs based on more compact inputs. | 05-31-2012 |

20120136879 | SYSTEMS AND METHODS FOR FILTERING INTERPOLATED INPUT DATA BASED ON USER-SUPPLIED OR OTHER APPROXIMATION CONSTRAINTS - Embodiments relate to systems and methods for filtering interpolated input data based on user-supplied or other approximation constraints. A database management system can store operational data, such as financial, medical, or other information. A user can access a set of target data, representing an output desired to be generated from an interpolated set of input data. Thus, the average air temperature of a region may be known for ten years, along with other inputs including water temperature, wind speed, and other data. The interpolation engine can receive a target temperature for the current year, and generate water temperatures, wind speeds, or other inputs that will produce the target temperature. The engine can also receive sets of approximation constraints supplied by a user, application, and/or other source to apply to the interpolated input values, and force those values to conform to an additional layer of desired criteria or constraints. | 05-31-2012 |

20120136880 | SYSTEMS AND METHODS FOR BINDING MULTIPLE INTERPOLATED DATA OBJECTS - Embodiments relate to systems and methods for binding multiple interpolated data objects. A database management system can store operational data, such as financial, medical, or other information. A user can access a set of target data, representing an output desired to be generated from an interpolated set of input data. Thus, the average air temperature of a region may be known for ten years, along with other inputs including water temperature, wind speed, and other data. The interpolation engine can receive a target temperature for the current year, and generate water temperatures, wind speeds, or other inputs that will produce the target temperature. The interpolation engine can also be configured to access and combine two or more sets of interpolated data using a set of data bindings into one multiply-bound interpolation object. The combined or multiply-bound interpolation object can be operated on by the interpolation engine or accessing application(s) on a unified and updateable basis. | 05-31-2012 |

20120136903 | SYSTEMS AND METHODS FOR EMBEDDING INTERPOLATED DATA OBJECT IN APPLICATION DATA FILE - Embodiments relate to systems and methods for embedding an interpolated data object in an application data file. A database management system can store operational data, such as financial, climate or other information. A user can input or access target data, representing an output desired to be generated from an interpolated set of input data. Thus, the average air temperature of a region may be known for several years, along with other inputs including water temperature, wind speed, and other data. The target data can include an expected average temperature for the current year. The interpolation engine can receive the current-year target temperature, and generate water temperatures, wind speeds, and other variables that produce the target temperature. In aspects, the interpolation engine can embed the interpolated data as an object in a local or remote spreadsheet or other local data file via dynamic data links, to permit automatic updating of the embedded interpolated data. | 05-31-2012 |

20120221500 | SYSTEMS AND METHODS FOR VALIDATING INTERPOLATION RESULTS USING MONTE CARLO SIMULATIONS ON INTERPOLATED DATA INPUTS - Embodiments relate to systems and methods for validating interpolation results using Monte Carlo simulations on interpolated data inputs. A database can store sets of operational data, such as financial, medical, climate or other information. For given data, a portion of the input data can be known or predetermined, while for a second portion can be unknown and subject to interpolation. The interpolation engine can generate a conformal interpolation function and interpolated input sets that map to a set of target output data. In aspects, in order to test the interpolated input data, the operator can initiate a Monte Carlo or other variational analysis using access a validation dialog. The Monte Carlo process can apply randomized perturbations to the values of the interpolated input variables, and track the results of that perturbation on the other interpolated inputs. A set of validation rules can be applied to those randomized results, to determine whether the remaining interpolated variables remain in conformance with expected ranges or values or demonstrate anomalous responses. | 08-30-2012 |

20120221503 | SYSTEMS AND METHODS FOR GENERATING INTERPOLATION DATA TEMPLATE TO NORMALIZE ANALYTIC RUNS - Embodiments relate to systems and methods for generating an interpolation data template to normalize analytic runs. A database can store sets of operational data, such as financial, medical, climate or other information. For given data, a portion of the input data can be known or predetermined, while for a second portion can be unknown and subject to interpolation. The interpolation engine can generate a conformal interpolation function and interpolated input sets that map to a set of target output data. In aspects, an interpolation history database can stores results of a variety of interpolation studies or results, from which a set of interpolation templates can be derived. The templates can reflect trends or patterns discovered or displayed in the historical interpolation results, for instance, to produce expected values for different variables based on averages, thresholds, or other criteria applied to the historical results. New interpolation studies can apply data-selected templates chosen to match their operative data, and produce normalized data as the interpolation results themselves, or provide a starting point for further interpolation processing. | 08-30-2012 |

20120221584 | SYSTEMS AND METHODS FOR GENERATING PORTABLE INTERPOLATED DATA USING OBJECT-BASED ENCODING OF INTERPOLATION RESULTS - Embodiments relate to systems and methods for generating portable interpolated data using object-based encoding of interpolation results. A database can store sets of operational data, such as financial, medical, climate or other information. For given data, a portion of the input data can be known or predetermined, while for a second portion can be unknown and subject to interpolation. The interpolation engine can generate a conformal interpolation function and interpolated input sets that map to a set of target output data. In aspects, the interpolation engine can interact with an object encoder module to access, extract, and encode the interpolated inputs and/or other data in an object-based format or schema, such as the extensible markup language (XML). The object encoder can generate an object-oriented interpolated data container to transmit to a local or remote database, and expose that container to sets of applications for access and use by those applications. The applications can include other interpolation packages, and/or conventional applications such as databases or spreadsheets which do not have native interpolation capability. The applications can share, exchange, and/or modified the object-based interpolation data container(s), and can request further interpolation processing on updated objects via interpolation requests to remote interpolation engines. | 08-30-2012 |

20120221585 | SYSTEMS AND METHODS FOR GENERATING INTERPOLATED DATA SETS CONVERGING TO OPTIMIZED RESULTS USING ITERATIVE OVERLAPPING INPUTS - Embodiments relate to systems and methods for generating interpolated data sets converging to optimized results using iterative overlapping inputs. A database can store sets of operational data, such as financial, medical, climate or other information. For given data, a portion of the input data can be known or predetermined, while for a second portion can be unknown and subject to interpolation. The interpolation engine can generate a conformal interpolation function and interpolated input sets that map to a set of target output data. In aspects, to attempt to drive the set of interpolated input data and/or other results to an optimized and/or steady-state value or values, the interpolation engine can generate a set of shifts or alterations to the set of combined input data as that data exists, to create a set of iterative overlapping input data. That iterative overlapping data can be used to execute successive interpolation runs, and determine whether the interpolation results converge to a set of steady-state and/or optimized results. When convergence is detected, the interpolation results can be assumed to represent optimized, steady-state, and/or best-available values for the conditions of the original combined input data. | 08-30-2012 |