Certain aspects involve updating data structures to indicate relationships between attribute trends and response variables used for training automated modeling systems. For example, a data structure stores data for training an automated modeling algorithm. The training data includes attribute values for multiple entities over a time period. A computing system generates, for each entity, at least one trend attribute that is a function of a respective time series of attribute values. The computing system modifies the data structure to include the generated trend attributes and updates the training data to include trend attribute values for the trend attributes. The computing system trains the automated modeling algorithm with the trend attribute values from the data structure. In some aspects, trend attributes are generated by applying a frequency transform to a time series of attribute values and selecting, as trend attributes, some of the coefficients generated by the frequency transform.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A server system comprising: a non-transitory computer-readable medium storing a data structure, the data structure having training data for training an automated modeling algorithm, the training data comprising data items for a set of attribute values for multiple entities over a time period, wherein each data item in the training data indicates (i) a respective attribute value for at least one attribute, (ii) a respective time value within the time period, and (iii) a respective entity associated with the respective attribute value; and a processing device communicatively to the non-transitory computer-readable medium, wherein the processing device is configured for performing operations comprising: generating, for each entity, at least one trend attribute that is a function of a respective time series of attribute values from the set of attribute values, the at least one trend attribute indicating a trend in the time series of attribute values, modifying the data structure to include the at least one trend attribute, updating the training data to include trend attribute values of the at least one trend attribute for the respective entities, and training the automated modeling algorithm with the trend attribute values from the data structure. 2. The server system of claim 1, wherein the processing device is configured for generating the at least one trend attribute by performing, for each entity, additional operations comprising: identifying a respective subset of attribute values for the at least one attribute based on the selected attribute values being associated with the entity; applying a frequency transform to the respective subset of attribute values; selecting, as the at least one trend attribute, at least one coefficient generated by the applied frequency transform. 3. The server system of claim 1, wherein the processing device is configured for generating the at least one trend attribute by performing additional operations comprising: identifying intervals in the time period; generating multiple cluster series, wherein each cluster series comprises clusters respectively associated with the intervals, wherein the processing device is configured for generating each cluster series by performing operations comprising: grouping, for each interval, a respective subset of attribute values into a respective cluster based on the grouped attribute values being associated with time values in the interval, and adding the respective cluster for the interval to the cluster series; and computing, for the multiple cluster series, respective behavioral attribute values, wherein each behavioral attribute value is computed as a function of the respective cluster series; wherein the processing device is configured for updating the training data by performing, for at least some of the entities in the training data, operations comprising: identifying, for each entity, a respective cluster series having a respective behavioral attribute value that is similar to a respective behavior of a respective time series of attributes values for the entity, assigning a cluster membership to the entity based on the respective behavioral attribute value being similar to the respective behavior of the respective time series of attributes values for the entity, and selecting, for the entity, an identifier of the cluster membership as a trend attribute value for the entity. 4. The server system of claim 3, wherein the updated training data comprises first data items having a first trend attribute value and second data items having a second trend attribute value; wherein the processing device is configured for training the automated modeling algorithm by executing segmentation logic based on the trend attribute values, wherein executing the segmentation logic comprises: applying, based on the first data items having the first trend attribute value, a first modeling function to the first data items, and applying, based on the second data items having the second trend attribute value, a second modeling function to the second data items. 5. (canceled) 6. The server system of claim 3, wherein the processing device is configured for grouping the respective subset of attribute values into the respective cluster by performing operations comprising: applying, for each entity, a frequency transform to attribute values associated with the entity; grouping the respective subset of attribute values into the respective cluster based on at least one coefficient generated by the applied frequency transform. 7. The server system of claim 3, wherein the processing device is configured for grouping the respective subset of attribute values into the respective cluster by performing operations comprising: identifying a first time series of attribute values for a first attribute and a second time series of attribute values for a second attribute; performing a principal component analysis on the first time series and the second time series; outputting a principal component data series from the principal component analysis; and grouping the principal component data series into the clusters. 8. The server system of claim 1, wherein the function of the respective time series uses changes in the respective time series over the time period to compute a trend attribute value, wherein the at least one trend attribute comprises at least one of: a statistical attribute, a duration attribute computed based on peaks and valleys in the respective time series, or a depression/recovery attribute computed based on rates of change between the peaks and the valleys in the respective time series, a skewness of a probability distribution of the respective time series, or a kurtossis of a probability distribution of the respective time series. 9-11. (canceled) 12. A method comprising: accessing a data structure having input data for an automated modeling algorithm, the input data comprising data items with attribute values for multiple entities over a time period, wherein each data item in the input data indicates (i) a respective attribute value for at least one attribute, (ii) a respective time value within the time period, and (iii) a respective entity associated with the respective attribute value; generating, with a processing device, at least one trend attribute that is a function of a time series of attribute values, the at least one trend attribute indicating a trend in the time series of attribute values, wherein generating the at least one trend attribute comprises: applying, for each entity, a frequency transform to a respective subset of attribute values for the at least one attribute based on the respective subset of attribute values being associated with the entity, and selecting, as the at least one trend attribute, at least one coefficient generated by the applied frequency transform; modifying, with the processing device, the data structure to include the at least one trend attribute; updating, with the processing device, the input data to include trend attribute values for the at least one trend attribute, the trend attribute values including values of the at least one coefficient; and outputting, with the processing device, the trend attribute values from the data structure to a computing system that executes the automated modeling algorithm. 13. The method of claim 12, wherein the input data comprises training data for the automated modeling algorithm, wherein the method further comprises training the automated modeling algorithm using the trend attribute values in the training data. 14. The method of claim 13, further comprising generating at least one additional trend attribute by performing operations comprising: identifying intervals in the time period; generating multiple cluster series, wherein each cluster series comprises clusters respectively associated with the intervals, wherein the processing device is configured for generating each cluster series by performing operations comprising: grouping, for each interval, a respective subset of attribute values into a respective cluster based on the grouped attribute values being associated with time values in the interval, and adding the respective cluster for the interval to the cluster series; and computing, for the multiple cluster series, respective additional trend attribute values, wherein each additional trend attribute value is computed as a function of the respective cluster series; wherein updating the input data comprises performing, for at least some of the entities in the input data, operations comprising: identifying, for each entity, a respective cluster series having a respective behavioral attribute value that is similar to a respective behavior of a respective time series of attributes values for the entity, assigning a cluster membership to the entity based on the respective behavioral attribute value being similar to the respective behavior of the respective time series of attributes values for the entity, and selecting, for the entity, an identifier of the cluster membership as a trend attribute value for the entity. 15. The method of claim 14, wherein the updated input data comprises first data items having a first trend attribute value and second data items having a second trend attribute value; wherein training the automated modeling algorithm comprises executing segmentation logic based on the additional trend attribute values, wherein executing the segmentation logic comprises: applying, based on the first data items having the first trend attribute value, a first modeling function to the first data items, and applying, based on the second data items having the second trend attribute value, a second modeling function to the second data items. 16. (canceled) 17. The method of claim 14, wherein the respective subset of attribute values are grouped into the respective cluster based on the at least one coefficient generated by the frequency transform. 18. The method of claim 14, wherein grouping the respective subset of attribute values into the respective cluster comprises: identifying a first time series of attribute values for a first attribute and a second time series of attribute values for a second attribute; performing a principal component analysis on the first time series and the second time series; outputting a principal component data series from the principal component analysis; and grouping the principal component data series into the clusters. 19. The method of claim 12, wherein the function of the respective time series uses changes in the respective time series over the time period to compute a trend attribute value, wherein the at least one trend attribute comprises at least one of: a statistical attribute, a duration attribute computed based on peaks and valleys in the respective time series, or a depression/recovery attribute computed based on rates of change between the peaks and the valleys in the respective time series, a skewness of a probability distribution of the respective time series, or a kurtossis of a probability distribution of the respective time series. 20-22. (canceled) 23. A non-transitory computer-readable medium having program code that is executable by a processing device to cause a computing device to perform operations, the operations comprising: accessing a data structure having training data for training an automated modeling algorithm, the training data comprising data items with attribute values for multiple entities over a time period, wherein each data item in the training data indicates (i) a respective attribute value for at least one attribute, (ii) a respective time value within the time period, and (iii) a respective entity associated with the respective attribute value; generating at least one trend attribute that is a function of a time series of attribute values, the at least one trend attribute indicating a trend in the time series of attribute values; modifying the data structure to include the at least one trend attribute; updating the training data to include trend attribute values for the at least one trend attribute; and training the automated modeling algorithm with the trend attribute values from the data structure. 24. The non-transitory computer-readable medium of claim 23, wherein generating the at least one trend attribute comprises performing, for each entity, operations comprising: identifying a respective subset of attribute values for the at least one attribute based on the selected subset of attribute values being associated with the entity; applying a frequency transform to the respective subset of attribute values; selecting, as the at least one trend attribute, at least one coefficient generated by the applied frequency transform. 25. The non-transitory computer-readable medium of claim 23, wherein generating the at least one trend attribute comprises: identifying intervals in the time period; generating multiple cluster series, wherein each cluster series comprises clusters respectively associated with the intervals, wherein the processing device is configured for generating each cluster series by performing operations comprising: grouping, for each interval, a respective subset of attribute values into a respective cluster based on the grouped attribute values being associated with time values in the interval, and adding the respective cluster for the interval to the cluster series; and computing, for the multiple cluster series, respective trend attribute values, wherein each trend attribute value is computed as a function of the respective cluster series; wherein updating the training data comprises performing, for at least some of the entities in the training data, operations comprising: identifying, for each entity, a respective cluster series having a respective behavioral attribute value that is similar to a respective behavior of a respective time series of attributes values for the entity, assigning a cluster membership to the entity based on the respective behavioral attribute value being similar to the respective behavior of the respective time series of attributes values for the entity, and selecting, for the entity, an identifier of the cluster membership as a trend attribute value for the entity. 26. The non-transitory computer-readable medium of claim 25, wherein the updated training data comprises first data items having a first trend attribute value and second data items having a second trend attribute value; wherein training the automated modeling algorithm comprises executing segmentation logic based on the trend attribute values, wherein executing the segmentation logic comprises: applying, based on the first data items having the first trend attribute value, a first modeling function to the first data items, and applying, based on the second data items having the second trend attribute value, a second modeling function to the second data items. 27. (canceled) 28. (canceled) 29. The non-transitory computer-readable medium of claim 25, wherein grouping the respective subset of attribute values into the respective cluster comprises: identifying a first time series of attribute values for a first attribute and a second time series of attribute values for a second attribute; performing a principal component analysis on the first time series and the second time series; outputting a principal component data series from the principal component analysis; and grouping the principal component data series into the clusters. 30. The non-transitory computer-readable medium of claim 23, wherein the function of the respective time series uses changes in the respective time series over the time period to compute a trend attribute value, wherein the at least one trend attribute comprises at least one of: a statistical attribute, a duration attribute computed based on peaks and valleys in the respective time series, or a depression/recovery attribute computed based on rates of change between the peaks and the valleys in the respective time series, a skewness of a probability distribution of the respective time series, or a kurtossis of a probability distribution of the respective time series. 31-33. (canceled)