Abstract: A method includes obtaining a plurality of data sets, where each data set of the plurality of data sets includes multivariate time series data for a respective sample period of a plurality of sample periods. The method also includes, for each data set of the plurality of data sets, determining recurrence data indicative of recurrent states in the data set and determining, based on the recurrence data, determinism values of a determinism metric and laminarity values of a laminarity metric. The method further includes determining that a particular data set of the plurality of data sets includes data representing an anomalous state based on a determinism-laminarity curve representing the particular data set, where the determinism-laminarity curve is based on the determinism values of the particular data set and the laminarity values of the particular data set. The method also includes generating output data indicating the anomalous state.

Abstract: A method includes obtaining a plurality of data sets, where each data set of the plurality of data sets includes multivariate time series data for a respective sample period of a plurality of sample periods. The method also includes, for each data set of the plurality of data sets, determining recurrence data indicative of recurrent states in the data set and determining, based on the recurrence data, determinism values of a determinism metric and laminarity values of a laminarity metric. The method further includes determining that a particular data set of the plurality of data sets includes data representing an anomalous state based on a determinism-laminarity curve representing the particular data set, where the determinism-laminarity curve is based on the determinism values of the particular data set and the laminarity values of the particular data set. The method also includes generating output data indicating the anomalous state.

Abstract: A method includes obtaining multiple sets of trajectory data, each descriptive of trajectories of two or more objects (e.g., first and second objects). The method also includes generating transformed trajectory data based on the trajectory data. Each set of transformed trajectory data is descriptive of the trajectories of the two or more objects in a normalized reference frame in which a movement path of the first object is constrained. The method further includes generating feature data, performing a clustering operation based on the feature data to generate a set of trajectory clusters, and generating training data based on the set of trajectory clusters. The method further includes using the training data to train a machine learning classifier to classify particular trajectory patterns.

Abstract: A testing system, a testing method, and a training method for the testing system are disclosed. According to an example, a computing system of the testing system processes a set of data streams of test data for a test subject in combination with a previously trained nominal model by, for each parameter of the test subject: selecting a parameter-specific control band defined by the nominal model for the parameter; comparing a time-based series of measurements of the test data for the parameter to the parameter-specific control band for the parameter, and selectively generating a test result for the parameter responsive to whether a condition is satisfied with respect to any of the time-based series of measurements exceeding the parameter-specific control band for the parameter.

Abstract: A method includes obtaining multiple sets of trajectory data, each descriptive of trajectories of two or more objects (e.g., first and second objects). The method also includes generating transformed trajectory data based on the trajectory data. Each set of transformed trajectory data is descriptive of the trajectories of the two or more objects in a normalized reference frame in which a movement path of the first object is constrained. The method further includes generating feature data, performing a clustering operation based on the feature data to generate a set of trajectory clusters, and generating training data based on the set of trajectory clusters. The method further includes using the training data to train a machine learning classifier to classify particular trajectory patterns.

Abstract: A system for monitoring aircraft operational messages is provided. The system includes a computing device including a processor in communication with a memory. The computing device is programmed to receive a plurality of historical messages for a plurality of aircraft. Each message of the plurality of historical messages is a message from one of the plurality of aircraft. The computing device is also programmed to receive a plurality of historical maintenance operations performed on the plurality of aircraft, compare the plurality of historical messages to the plurality of historical maintenance operations to determine at least one message type associated with at least one maintenance operation type, and generate a plurality of message type correlations between message types and maintenance operation types based on the comparison.

Abstract: A system for monitoring aircraft operational messages is provided. The system includes a computing device including a processor in communication with a memory. The computing device is programmed to receive a plurality of historical messages for a plurality of aircraft. Each message of the plurality of historical messages is a message from one of the plurality of aircraft. The computing device is also programmed to receive a plurality of historical maintenance operations performed on the plurality of aircraft, compare the plurality of historical messages to the plurality of historical maintenance operations to determine at least one message type associated with at least one maintenance operation type, and generate a plurality of message type correlations between message types and maintenance operation types based on the comparison.