variational lower bound
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Supplementary Material for "SE(3) Diffusion Model-based Point Cloud Registration for Robust 6D Object Pose Estimation "
SE(3) diffusion model for point cloud registration can be derived as below. By inserting Eq. 5 into the variational lower bound 4, we can further rewrite the variational lower As demonstrated in our main paper, we utilize the Lie algebra for randomly sampling the desired perturbation transformation to randomize our SE(3) diffusion process. This innovative registration framework exhibits promising registration performance. Learning 6d object pose estimation using 3d object coordinates.
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REBAR: Low-variance, unbiased gradient estimates for discrete latent variable models
George Tucker, Andriy Mnih, Chris J. Maddison, John Lawson, Jascha Sohl-Dickstein
Learning in models with discrete latent variables is challenging due to high variance gradient estimators. Generally, approaches have relied on control variates to reduce the variance of the REINFORCE estimator. Recent work (Jang et al., 2016; Maddi-son et al., 2016) has taken a different approach, introducing a continuous relaxation of discrete variables to produce low-variance, but biased, gradient estimates.
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