Methods, computer program products, and systems are presented. The methods include, for instance: building model connections between models in a knowledgebase, which stores case data as model networks. An exploration probability stored in the knowledgebase indicates a likelihood of new connections based on a case data input to be employed for an analytical model of the case data input, which includes numerous stages and multiple model choices in each stage. Based on the new connections and model networks of the knowledgebase, paths are created and performance of respective paths/connections are evaluated. A predefined number of top performing paths are selected and the models and attributes that do not appear in the top performing paths are eliminated from the knowledgebase. Probabilities of model networks and a future case data input are updated accordingly and a best-fit model for the case data input is presented to a user.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A computer implemented method for adaptive analytical modeling, comprising: obtaining, by one or more processor of a computer, a case data input for an analysis in a number of stages; building all model connections between models in the knowledgebase with a complementary of an exploration probability, wherein the knowledgebase stores one or more model networks and the exploration probability indicating a likelihood to discover a new model network that performs well and that is not stored in the knowledgebase; integrating new model connections based on the case data input into the knowledgebase with the exploration probability; selecting a predefined number of paths that perform best based on ranking respective model connections from the building and the integrating by use of preconfigured performance metrics, wherein each of the paths includes respective models in each of the stages and respective model connections from a first stage through a last stage; eliminating one or more poor models and attributes associated with respective poor models from the knowledgebase, wherein the poor models do not present in the paths from the selecting; updating a model network probability indicating a likelihood to use the model networks stored in the knowledgebase as resulted from the eliminating, by use of the exploration probability; calculating a new exploration probability for another case data input in using the knowledgebase as resulted from the updating; and producing the predefined number of paths from the selecting, without the poor models as resulted from the eliminating, to a user as a best-fit model for the analysis of the case data. 2. The computer implemented method of claim 1, the integrating comprising: creating the new model connections based on the case data input; associating the model connections with the exploration probability; and adding the new model connections associated with the exploration probability to the knowledgebase. 3. The computer implemented method of claim 1, wherein the preconfigured performance metrics is a multi-stage model performance loss function calculated as a sum of squared error from a selected model in each stage from the first stage to the last stage. 4. The computer implemented method of claim 1, wherein the model network probability is a sum of a complementary of the exploration probability multiplied by a first model network probability of the knowledgebase prior to the eliminating and the exploration probability multiplied by a second model network probability of the new model connections. 5. The computer implemented method of claim 1, wherein the new exploration probability is a difference between the exploration probability and an inverse of a number of cases stored in the knowledgebase. 6. The computer implemented method of claim 1, wherein attributes associated with a model are combinations of parameter choices in the model and optional input variables into the model. 7. The computer implemented method of claim 1, wherein the exploration probability is represented by εn, the complementary of the exploration is represented by (1−εn), the new exploration probability is formulated as εn+1=εn−1/n for n number of cases in the knowledgebase prior to the case data input. 8. A computer program product comprising: a computer readable storage medium readable by one or more processor and storing instructions for execution by the one or more processor for performing a method for adaptive analytical modeling, comprising: obtaining, by the one or more processor, a case data input for an analysis in a number of stages; building all model connections between models in the knowledgebase with a complementary of an exploration probability, wherein the knowledgebase stores one or more model networks and the exploration probability indicating a likelihood to discover a new model network that performs well and that is not stored in the knowledgebase; integrating new model connections based on the case data input into the knowledgebase with the exploration probability; selecting a predefined number of paths that perform best based on ranking respective model connections from the building and the integrating by use of preconfigured performance metrics, wherein each of the paths includes respective models in each of the stages and respective model connections from a first stage through a last stage; eliminating one or more poor models and attributes associated with respective poor models from the knowledgebase, wherein the poor models do not present in the paths from the selecting; updating a model network probability indicating a likelihood to use the model networks stored in the knowledgebase as resulted from the eliminating, by use of the exploration probability; calculating a new exploration probability for another case data input in using the knowledgebase as resulted from the updating; and producing the predefined number of paths from the selecting, without the poor models as resulted from the eliminating, to a user as a best-fit model for the analysis of the case data. 9. The computer program product of claim 8, the integrating comprising: creating the new model connections based on the case data input; associating the model connections with the exploration probability; and adding the new model connections associated with the exploration probability to the knowledgebase. 10. The computer program product of claim 8, wherein the preconfigured performance metrics is a multi-stage model performance loss function calculated as a sum of squared error from a selected model in each stage from the first stage to the last stage. 11. The computer program product of claim 8, wherein the model network probability is a sum of a complementary of the exploration probability multiplied by a first model network probability of the knowledgebase prior to the eliminating and the exploration probability multiplied by a second model network probability of the new model connections. 12. The computer program product of claim 8, wherein the new exploration probability is a difference between the exploration probability and an inverse of a number of cases stored in the knowledgebase. 13. The computer program product of claim 8, wherein attributes associated with a model are combinations of parameter choices in the model and optional input variables into the model. 14. The computer program product of claim 8, wherein the exploration probability is represented by εn, the complementary of the exploration is represented by (1−εn), the new exploration probability is formulated as εn+1=εn−1/n for n number of cases in the knowledgebase prior to the case data input. 15. A system comprising: a memory; one or more processor in communication with memory; and program instructions executable by the one or more processor via the memory to perform a method for adaptive analytical modeling, comprising: obtaining, by the one or more processor, a case data input for an analysis in a number of stages; building all model connections between models in the knowledgebase with a complementary of an exploration probability, wherein the knowledgebase stores one or more model networks and the exploration probability indicating a likelihood to discover a new model network that performs well and that is not stored in the knowledgebase; integrating new model connections based on the case data input into the knowledgebase with the exploration probability; selecting a predefined number of paths that perform best based on ranking respective model connections from the building and the integrating by use of preconfigured performance metrics, wherein each of the paths includes respective models in each of the stages and respective model connections from a first stage through a last stage; eliminating one or more poor models and attributes associated with respective poor models from the knowledgebase, wherein the poor models do not present in the paths from the selecting; updating a model network probability indicating a likelihood to use the model networks stored in the knowledgebase as resulted from the eliminating, by use of the exploration probability; calculating a new exploration probability for another case data input in using the knowledgebase as resulted from the updating; and producing the predefined number of paths from the selecting, without the poor models as resulted from the eliminating, to a user as a best-fit model for the analysis of the case data. 16. The system of claim 15, the integrating comprising: creating the new model connections based on the case data input; associating the model connections with the exploration probability; and adding the new model connections associated with the exploration probability to the knowledgebase. 17. The system of claim 15, wherein the preconfigured performance metrics is a multi-stage model performance loss function calculated as a sum of squared error from a selected model in each stage from the first stage to the last stage. 18. The system of claim 15, wherein the model network probability is a sum of a complementary of the exploration probability multiplied by a first model network probability of the knowledgebase prior to the eliminating and the exploration probability multiplied by a second model network probability of the new model connections. 19. The system of claim 15, wherein the new exploration probability is a difference between the exploration probability and an inverse of a number of cases stored in the knowledgebase, such that the exploration probability is represented by εn, the complementary of the exploration is represented by (1−εn), the new exploration probability is formulated as εn+1=εn−1/n for n number of cases in the knowledgebase prior to the case data input. 20. The system of claim 15, wherein attributes associated with a model are combinations of parameter choices in the model and optional input variables into the model.