Changes in End Effector Trajectory Jitter Amplitude under the Interaction of Lerobot Diffusion Policy Denoising Steps and SLAM Loopback Frequency

Main Article Content

M. Y. Cui
S. Hutchinson

Abstract

This study investigates the interaction between the number of denoising steps in a LeRobot Diffusion Policy and the frequency of Simultaneous Localization and Mapping loop-closure corrections on end-effector trajectory jitter in mobile manipulation systems. A controlled experimental framework was established in which the robotic arm motion path and disturbance magnitude were held constant while denoising-step levels and loop-closure frequencies were independently varied. End-effector trajectories were collected in Cartesian space, and high-frequency jitter components were extracted to quantify trajectory instability. Two-way analysis of variance was employed to evaluate the main effects and interaction effect of the two factors. The results reveal a statistically significant interaction effect, indicating that the effectiveness of denoising-step adjustment depends strongly on loop-closure frequency. Under low-frequency disturbance conditions, increasing the number of denoising steps reduced the normalized jitter amplitude to approximately 47% of the baseline level. However, under high-frequency disturbance conditions, the same adjustment reduced the normalized jitter amplitude only to approximately 83% of the baseline level, demonstrating a substantial decline in suppression effectiveness. Frequency-domain analysis further shows that dense loop-closure disturbances can induce delayed compensation and low-frequency energy accumulation when excessive smoothing is applied, thereby limiting the benefits of additional denoising steps. These findings reveal a parameter dependency boundary between policy smoothing strength and disturbance frequency and provide a quantitative basis for coordinated configuration of perception and control modules, contributing to improved trajectory smoothness and operational stability in mobile manipulation robots operating in dynamic environments.

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How to Cite
Cui, M. Y., & Hutchinson, S. (2026). Changes in End Effector Trajectory Jitter Amplitude under the Interaction of Lerobot Diffusion Policy Denoising Steps and SLAM Loopback Frequency. Advanced Electromagnetics, 15(3), 10120–10130. https://doi.org/10.7716/aem.v15i3.4213
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Research Articles

References

W. Hao, P. Wang, C. Ni, W. Huangfu, Z. Liu, and K. Qi, “Loop closure detection based on image feature matching and motion trajectory similarity for mobile robot,” Applied Intelligence, vol. 55, no. 7, pp. 447–455, 2025, doi: 10.1007/s10489-024-05874-4.

View Article

C. Chi, Z. Xu, S. Feng, E. Cousineau, Y. Du, B. Burchfiel, et al., “Diffusion policy: Visuomotor policy learning via action diffusion,” The International Journal of Robotics Research, vol. 44, no. 10–11, pp. 1684–1704, 2025, doi: 10.1177/02783649241273668.

View Article

C. Yu, Z. Chao, H. Xie, Y. Hua, and W. Wu, “An Enhanced Multi-Sensor Simultaneous Localization and Mapping (SLAM) Framework with Coarse-to-Fine Loop Closure Detection Based on a Tightly Coupled Error State Iterative Kalman Filter,” Robotics, vol. 13, no. 1, pp. 2–11, 2023, doi: 10.3390/robotics13010002.

View Article

Y. Cai, Y. Ou, and T. Qin, “Improving SLAM techniques with integrated multi-sensor fusion for 3D reconstruction,” Sensors, vol. 24, no. 7, pp. 2033–2039, 2024, doi: 10.3390/s24072033.

View Article

S. Arshad and G. W. Kim, “Role of deep learning in loop closure detection for visual and lidar slam: A survey,” Sensors, vol. 21, no. 4, pp. 1243–1250, 2021, doi: 10.3390/s21041243.

View Article

C. E. Denniston, Y. Chang, A. Reinke, K. Ebadi, G. S. Sukhatme, and L. Carlone, “Loop closure priorityization for efficient and scalable multi-robot SLAM,” IEEE Robotics and Automation Letters, vol. 7, no. 4, pp. 9651–9658, 2022, doi: 10.1109/LRA.2022.3191156.

View Article

J. Carvalho, A. T. Le, P. Kicki, D. Koert, and J. Peters, “Motion planning diffusion: Learning and adapting robot motion planning with diffusion models,” IEEE Transactions on Robotics, vol. 41, no. 1, pp. 4881–4901, 2025, doi: 10.1109/TRO.2025.3593109.

View Article

H. Qiu, Z. Chen, Z. Wang, Y. He, M. Xia, and Z. Liu, “FreeTraj: Tuning-Free Trajectory Control via Noise Guided Video Diffusion,” International Journal of Computer Vision, vol. 134, no. 4, pp. 165–172, 2026, doi: 10.1007/s11263-026-02732-3.

View Article

X. Shi, Y. Hu, and J. Jin, “FRMD: fast robot motion diffusion via trajectory-level consistency distillation,” Frontiers in Robotics and AI, vol. 13, no. 1, pp. 1751688–1751694, 2026, doi: 10.3389/frobt.2026.1751688.

View Article

H. Ding, N. Jaquier, J. Peters, and L. Rozo, “Fast and robust visuomotor riemannian flow matching policy,” IEEE Transactions on robotics, vol. 41, no. 1, pp. 5327–5343, 2025, doi: 10.1109/TRO.2025.3601293.

View Article

J. Zhu, H. Li, and T. Zhang, “Camera, LiDAR, and IMU based multi-sensor fusion SLAM: A survey,” Tsinghua Science and Technology, vol. 29, no. 2, pp. 415–429, 2023.

T. Xu, M. Chen, and J. Liu, “TKO-SLAM: Visual SLAM algorithm based on time-delay feature regression and keyframe pose optimization,” Journal of Field Robotics, vol. 41, no. 6, pp. 1960–1983, 2024, doi: 10.1002/rob.22357.

View Article

Y. Lian, X. Xiao, J. Zhang, L. Jin, J. Yu, and Z. Sun, “Neural dynamics for cooperative motion control of omnidirectional mobile manipulators in the presence of noises: A distributed approach,” IEEE/CAA Journal of Automatica Sinica, vol. 11, no. 7, pp. 1605–1620, 2024, doi: 10.1109/JAS.2024.124425.

View Article

R. Wolf, Y. Shi, S. Liu, and R. Rayyes, “Diffusion models for robotic manipulation: A survey,” Frontiers in Robotics and AI, vol. 12, no. 1, pp. 1606247–1606254, 2025, doi: 10.3389/frobt.2025.1606247.

View Article

C. Pan, Z. Yi, G. Shi, and G. Qu, “Model-based diffusion for trajectory optimization,” Advances in Neural Information Processing Systems, vol. 37, no. 1, pp. 57914–57943, 2024, doi: 10.52202/079017-1846.

View Article

S. Zheng, J. Wang, C. Rizos, W. Ding, and A. EI-Mowafy, “Simultaneous localization and mapping (slam) for autonomous driving: Concept and analysis,” Remote Sensing, vol. 15, no. 4, pp. 1156–1162, 2023, doi: 10.3390/rs15041156.

View Article

X. Jiang, L. Zhu, J. Liu, and A. Song, “A SLAM-based 6DoF controller with smooth auto-calibration for virtual reality,” The Visual Computer, vol. 39, no. 9, pp. 3873–3886, 2023, doi: 10.1007/s00371-022-02530-1.

View Article

M. Iqbal, R. A. M. Qureshi, and G. Abbas, “SIMULATING THE TIME-VARYING PARAMETERS OF ROBOTS IN PERFORMING THE COMPLEX SEQUENTIAL TASKS,” Pakistan Journal of Scientific Research, vol. 4, no. 1, pp. 93–104, 2024, doi: 10.57041/vol4iss1pp93-104.

View Article

C. Li, Z. Liu, L. Li, Z. Ji, C. Li, J. Liang, et al., “Improved PPO Optimization for Robotic Arm Grasping Trajectory Planning and Real-Robot Migration,” Sensors, vol. 25, no. 17, pp. 5253–5260, 2025, doi: 10.3390/s25175253.

View Article

Y. Guo, Y. Hu, J. Zhang, et al., “Prediction with action: Visual policy learning via joint denoising process,” Advances in Neural Information Processing Systems, vol. 37, no. 1, pp. 112386–112410, 2024, doi: 10.52202/079017-3570.

View Article

Y. Wang, Y. Tian, J. Chen, K. Xu, and X. Ding, “A survey of visual SLAM in dynamic environment: The evolution from geometric to semantic approaches,” IEEE Transactions on Instrumentation and Measurement, vol. 73, no. 1, pp. 1–21, 2024, doi: 10.1109/TIM.2024.3420374.

View Article

K. Kawaharazuka, J. Oh, J. Yamada, et al., “Vision-language-action models for robotics: A review towards real-world applications,” IEEE Access, vol. 13, no. 1, pp. 162467–162504, 2025, doi: 10.1109/ACCESS.2025.3609980.

View Article

I. Jebellat and I. Sharf, “Motion planners for path or waypoint following and end-effector sway damping with dynamic programming,” IEEE Transactions on Automation Science and Engineering, vol. 22, no. 1, pp. 8439–8452, 2024, doi: 10.1109/TASE.2024.3486040.

View Article

M. Wang, S. Lyu, Q. Liu, Z. Yang, K. Guo, and X. Yu, “Precise end-effector control for an aerial manipulator under composite disturbances: Theory and experiments,” IEEE Transactions on Automation Science and Engineering, vol. 22, no. 1, pp. 4006–4021, 2024, doi: 10.1109/TASE.2024.3406754.

View Article

H. Pan, D. Liu, J. Ren, T. Huang, and H. Yang, “LiDAR-IMU tightly-coupled SLAM method based on IEKF and loop closure detection,” IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, vol. 17, no. 1, pp. 6986–7001, 2024, doi: 10.1109/JSTARS.2024.3357536.

View Article

D. C. Hoang, J. A. Stork, and T. Stoyanov, “Voting and attention-based pose relation learning for object pose estimation from 3D point clouds,” IEEE Robotics and Automation Letters, vol. 7, no. 4, pp. 8980–8987, 2022, doi: 10.1109/LRA.2022.3189158.

View Article

R. Kranthi and Vasundhara, “A robust adaptive filter for diffusion strategy-based distributed active noise control,” IETE Journal of Research, vol. 70, no. 5, pp. 5066–5080, 2024, doi: 10.1080/03772063.2023.2222099.

View Article

M. B. Kadri, S. A. Khatri, and S. Yousuf, “Trajectory Tracking Control of a Planar Robotic Arm Using Inverse Dynamics and Fuzzy Gain Scheduling: Simulation and Experimental Validation,” IEEE Access, vol. 13, no. 1, pp. 186736–186759, 2025, doi: 10.1109/ACCESS.2025.3626418.

View Article

Q. Zhang, S. Feng, S. Chen, W. Teng, and Y. Qi, “Motion In-Betweening via Frequency-Domain Diffusion Model,” Computers, Materials, & Con-tinua, vol. 86, no. 1, pp. 1–9, 2026, doi: 10.32604/cmc.2025.068247.

View Article

S. Sakhrieh, A. Singh, J. Mounsef, B. Arain, and N. Maalouf, “VIO-GO: optimizing event-based SLAM parameters for robust performance in high dynamic range scenarios,” Frontiers in Robotics and AI, vol. 12, no. 1, pp. 1541017–1541024, 2025, doi: 10.3389/frobt.2025.1541017.

View Article

F. Bjelonic, A. Sachtler, A. Albu-Schäffer, and C. D. Santina, “Experimental closed-loop excitation of nonlinear normal modes on an elastic industrial robot,” IEEE Robotics and Automation Letters, vol. 7, no. 2, pp. 1689–1696, 2022, doi: 10.1109/LRA.2022.3141156.

View Article

F. A. C. Alegria, “Contribution of jitter and phase noise to the precision of sinusoidal amplitude estimation using coherent sampling,” Sci, vol. 7, no. 2, pp. 44–53, 2025, doi: 10.3390/sci7020044.

View Article

B. Wang, Y. Peng, H. Jin, and J. Zhao, “Reciprocal Neural State– Disturbance Observer for Model-Free Trajectory Tracking of Robotic Manipulators,” Mathematics, vol. 14, no. 6, pp. 983–991, 2026, doi: 10.3390/math14060983.

View Article

S. Yin, Z. Shi, Y. Liu, G. Xue, and H. You, “Adaptive Non-Singular terminal sliding mode trajectory tracking control of robotic manipulators based on disturbance observer under unknown Time-Varying disturbance,” Processes, vol. 13, no. 1, pp. 266–271, 2025, doi: 10.3390/pr13010266.

View Article

S. Bonnini, M. Borghesi, G. Piscopo, and M. Giacalone, “A Non-Parametric Test for a Two-Way Analysis of Variance,” Mathematics, vol. 13, no. 7, pp. 1131–1138, 2025, doi: 10.3390/math13071131.

View Article