VNB-Grasp (Overview and VNB-Informed MPC Rollouts). Method overview, simulation evaluation, and hardware grasp execution.
A differentiable Gaussian-mixture belief represents uncertainty in object pose and latent contact parameters, enabling pathwise gradients of a smooth Conditional Value-at-Risk (CVaR) surrogate for risk-sensitive grasp planning.
Reusable Components
Differentiable Belief Representation
Gaussian mixtures retain multiple hypotheses about contact conditions and object pose. Gumbel–Softmax component selection and location–scale reparameterization make samples differentiable with respect to the belief parameters, allowing a smooth CVaR surrogate to guide optimization of adverse grasp outcomes.
The benchmark evaluates friction sensitivity and perturbation robustness across nominal, adversarial, wide, and bimodal friction regimes. Post-grasp tests apply lateral impulses, torque impulses, and sudden friction drops to measure grasp success and perturbation survival.
The paper’s Table III reports means over objects, risk levels, and seeds in three friction regimes: nominal, wide, and bimodal. The released benchmark additionally includes the adversarial regime. Robust success requires nominal success and survival of at least 50% of the perturbation tests.
Robust Grasp Success
Robust grasp success (%), reproduced from Table III. Higher is better.
Method
Nominal
Wide
Bimodal
Particle-Filter MPC
67%
39%
28%
Gaussian MPC
75%
63%
42%
Gaussian-CVaR MPC
75%
63%
42%
CEM MPC
63%
67%
33%
VNB-MPC (ours)
79%
67%
38%
Wall-Clock Time per Episode
Mean wall-clock time per episode, reproduced from Table III. Lower is better.
Method
Nominal
Wide
Bimodal
Particle-Filter MPC
49.6 s
32.6 s
41.7 s
Gaussian MPC
3.2 s
3.4 s
4.3 s
Gaussian-CVaR MPC
3.1 s
3.4 s
4.3 s
CEM MPC
5.5 s
5.4 s
5.1 s
VNB-MPC (ours)
8.5 s
7.1 s
6.8 s
VNB-MPC achieved higher robust success than particle-filter MPC in all three friction regimes and required 6.8–8.5 s per episode, compared with 32.6–49.6 s. The Gaussian MPC variants were faster; under bimodal friction, they achieved 42% robust success, compared with 38% for VNB-MPC.
Hardware under Pose Uncertainty. Across three objects and four pose offsets (12 trials per method), both VNB and Gaussian MPC achieved 100% grasp-and-lift success. VNB required a median of 6 steps and 11.5 s, compared with 7 steps and 14.2 s for Gaussian MPC (Table IV). This small trial set supports an execution and convergence comparison.
@article{enweremVariationalNeuralBeliefParameterizations2026a,
author = {Enwerem, Clinton and Kalyanaraman, Shreya
and Baras, John S. and Belta, Calin},
title = {Variational Neural Belief Parameterizations for
Robust Dexterous Grasping under Multimodal Uncertainty},
year = {2026},
eprint = {2604.25897},
eprinttype = {arxiv},
note = {Preprint, arXiv:2604.25897}
}