1. A method for intelligent dump suppression in a computing environment following an error, comprising: collecting user-specified information including at least one of alert level parameters and control block values; training an artificial neural network (ANN) associated with the user-specified information by initializing a plurality of weights and error values of network connections and back propagating a level of error to adjust the plurality of weights and error values; collecting and assigning weights to a plurality of historical information using the ANN, wherein the plurality of historical information includes a plurality of messages, codes, parameters and values; determining a current alert level; processing the plurality of historical information in view of the current alert level to generate an output decision, wherein the current alert level is one of an available plurality of alert levels configurable by a user, the current alert level selectable by the user for a predetermined data collection restrictiveness; and performing at least one of a data capture and the intelligent dump suppression according to the output decision; wherein processing the plurality of historical information in view of the current alert level to generate the output decision includes considering, as specified parameters by the user, each one of a control block value including which of a plurality of bytes to check, a chain of request blocks, a task control block (TCB), and an application in a calling chain associated with the error.