Abstract: The techniques disclosed herein enable a machine learning model to learn a termination condition of a sub-task. A sub-task is one of a number of sub-tasks that, when performed in sequence, accomplish a long-running task. A machine learning model used to perform the sub-task is augmented to also provide a termination signal. The termination signal indicates whether the sub-task's termination condition has been met. Monitoring the termination signal while performing the sub-task enables subsequent sub-tasks to seamlessly begin at the appropriate time. A termination condition may be learned from the same data used to train other model outputs. In some configurations, the model learns whether a sub-task is complete by periodically attempting subsequent sub-tasks. If a subsequent sub-task can be performed, positive reinforcement is provided for the termination condition. The termination condition may also be trained using synthetic scenarios designed to test when the termination condition has been met.

Abstract: The techniques disclosed herein enable systems to solve routing problems using machine learning augmented by optimization modules. To plot a route, a system receives a plurality of nodes from a problem space. The plurality of nodes is then analyzed by an optimization module and ranked based on various criteria such as distance from a reference node and deadline. Based on the ranking, the optimization module can select a smaller subset of nodes that is then processed by a machine learning model. The machine learning model can then select a node from the subset of nodes for addition to a route. This process can be repeated until a route is plotted for the full set of nodes within the problem space. In addition, the system can be configured to monitor current conditions of the problem space to modify the route in response to changes.

Abstract: An optic has a freeform optical surface transforming incident light emitted by a spatially extended light source into a constellation of images of the spatially extended light source. The images in the constellation are mixed to form a target illumination pattern having a sharp-edge at least along a portion of a boundary. The images include a focused image, and an edge of the focused image participates in forming the sharp-edged boundary the target illumination pattern.

Abstract: An optic has a freeform optical surface transforming incident light emitted by a spatially extended light source into a constellation of images of the spatially extended light source. The images in the constellation are mixed to form a target illumination pattern having a sharp-edge at least along a portion of a boundary. The images include a focused image, and an edge of the focused image participates in forming the sharp-edged boundary the target illumination pattern.