🤖 AI Summary
This work addresses two key challenges in task-and-motion planning (TAMP): (1) the unknown number of subtasks—e.g., dynamic determination of object re-arrangements in cluttered scenes for target grasping—and (2) the tight coupling between task assignment and motion coordination in multi-robot systems. We propose a differentiable AND/OR graph neural network framework grounded in iterative deepening search. To our knowledge, this is the first approach to integrate iterative deepening into differentiable symbolic-neural hybrid planning, enabling end-to-end joint optimization of task decomposition and motion planning—thereby overcoming the abstraction-execution decoupling inherent in conventional hierarchical architectures. Evaluated in simulation and on real robotic platforms, our method achieves a 27% improvement in planning success rate and a 41% reduction in computation time, while significantly enhancing generalization and robustness for long-horizon, dependency-rich tasks.