Abstract:Imitation learning (IL) algorithms typically distill experience into parametric behavior policies to mimic expert demonstrations. Despite their effectiveness, previous methods often struggle with data efficiency and accurately aligning the current state with expert demonstrations, especially in deformable mobile manipulation tasks characterized by partial observations and dynamic object deformations. In this paper, we introduce \textbf{DeMoBot}, a novel IL approach that directly retrieves observations from demonstrations to guide robots in \textbf{De}formable \textbf{Mo}bile manipulation tasks. DeMoBot utilizes vision foundation models to identify relevant expert data based on visual similarity and matches the current trajectory with demonstrated trajectories using trajectory similarity and forward reachability constraints to select suitable sub-goals. Once a goal is determined, a motion generation policy will guide the robot to the next state until the task is completed. We evaluated DeMoBot using a Spot robot in several simulated and real-world settings, demonstrating its effectiveness and generalizability. With only 20 demonstrations, DeMoBot significantly outperforms the baselines, reaching a 50\% success rate in curtain opening and 85\% in gap covering in simulation.