Abstract: In various examples, a gradient-based motion planner evaluates a cost function corresponding to routes for a machine and an obstacle to jointly update the routes. The cost function may include terms to penalize deviation from an initial route predicted for the obstacle and acceleration or jerk for the obstacle. The routes for the machine and the obstacle that are updated may be selected using motion classes that characterize relative motion between a route for the machine and a route for the obstacle. A motion class may be based at least on an angular distance between the machine and the agent and free-end homotopy, where members of the class execute the same relative motion with respect to other agents while being continuously transformable to any other member of the class. The members of the class may have the same start point and different end points.

Abstract: In various examples, policy planning using behavior models for autonomous and semi-autonomous systems and applications is described herein. Systems and methods are disclosed that determine a policy for navigating a vehicle, such as a semi-autonomous vehicle or an autonomous vehicle (or other machine), where the policy allows for multistage reasoning that leverages future reactive behaviors of one or more other objects. For instance, a first behavior model (e.g., a trajectory tree) may be generated that represents candidate trajectories for the vehicle and one or more second behavior models (e.g., one or more scenario trees) may be generated that respectively represent future behaviors of the other object(s). The first behavior model and the second behavior model(s) may then be processed, such as in a closed-loop simulation based on a realistic data-driven traffic model, to determine the policy for navigating the vehicle.

Abstract: In various examples, a motion planner include an analytical function to predict motion plans for a machine based on predicted trajectories of actors in an environment, where the predictions are differentiable with respect to parameters of a neural network of a motion predictor used to predict the trajectories. The analytical function may be used to determine candidate trajectories for the machine based on a predicted trajectory, to compute cost values for the candidate trajectories, and to select a reference trajectory from the candidate trajectories. For differentiability, a term of the analytical function may correspond to the predicted trajectory. A motion controller may use the reference trajectory to predict a control sequence for the machine using an analytical function trained to generate predictions that are differentiable with respect to at least one parameter of the analytical function used to compute the cost values.