Abstract: The present disclosure relates to systems and methods for monitoring data recorded from systems over time. The techniques described herein include the ability to detect and classify system events, and to provide indicators of normal system operation and anomaly detection. The systems and methods of the present disclosure can represent events occurring in the system being monitored in such a way that the temporal characteristics of the events can be captured and utilized for detection, classification and/or anomaly detection, which can be particularly useful when dealing with complex systems and/or events.

Abstract: A Bayesian treatment of mixture models is based on individual components having Student distributions, which have heavier tails compared to the exponentially decaying tails of Gaussians. The mixture of Student distribution components is characterized by a set of modeling parameters. Tractable approximations of the posterior distributions of individual modeling parameters are optimized and used to generate a data model for a set of input data.

Abstract: A discriminative machine learning system for labels text and non-text strokes in digital ink. The learning system considers stroke features and the context of the strokes, such as temporal information about one or more strokes, in a probabilistic framework. The learning system can also consider gap features within the probabilistic framework to label associated strokes.

Abstract: A Bayesian approach to training in conditional random fields takes a prior distribution over the modeling parameters of interest. These prior distributions may be used to generate an approximate form of a posterior distribution over the parameters, which may be trained with example or training data. Automatic relevance determination (ARD) may be integrated in the training to automatically select relevant features of the training data. From the trained posterior distribution of the parameters, a posterior distribution over the parameters based on the training data and the prior distributions over parameters may be approximated to form a training model. Using the developed training model, a given image may be evaluated by integrating over the posterior distribution over parameters to obtain a marginal probability distribution over the labels given that observational data.

Abstract: A discriminative machine learning system for labels text and non-text strokes in digital ink. The learning system considers stroke features and the context of the strokes, such as temporal information about one or more strokes, in a probabilistic framework. The learning system can also consider gap features within the probabilistic framework to label associated strokes.