This paper introduces AdaptiGraph, a learning-based dynamics modeling approach
that enables robots to predict, adapt to, and control a wide array of challenging
deformable materials with unknown physical properties. AdaptiGraph leverages the
highly flexible graph-based neural dynamics (GBND) framework, which represents
material bits as particles and employs a graph neural network (GNN) to predict
particle motion. Its key innovation is a unified physical property-conditioned
GBND model capable of predicting the motions of diverse materials with varying
physical properties without retraining. Upon encountering new materials during
online deployment, AdaptiGraph utilizes a physical property optimization process
for a few-shot adaptation of the model, enhancing its fit to the observed
interaction data. The adapted models can precisely simulate the dynamics and predict
the motion of various deformable materials, such as ropes, granular media, rigid
boxes, and cloth, while adapting to different physical properties, including
stiffness, granular size, and center of pressure. On prediction and manipulation
tasks involving a diverse set of real-world deformable objects, our method exhibits
superior prediction accuracy and task proficiency over non-material-conditioned and
non-adaptive models.