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Aligning Gradient and Hessian for Neural Signed Distance Function

Neural Information Processing Systems

Our motivation is grounded in a fundamental observation: aligning the gradient and the Hessian of the SDF provides a more efficient mechanism to govern gradient directions.



Table3: HumanActivity

Neural Information Processing Systems

As reviewers noticed, detailed description of the experiments is provided in the3 supplement. Wealso6 switched to a finer discretization of 1 minute on Physionet dataset, instead of 6 minutes. Modeling state-interactions via26 an ODE allows better generalization outside the training interval compared to directly modeling a function of time.27 Using an ODE-RNN as a decoder is a possible extension.


ContinuousCategoriesDiscovery

Neural Information Processing Systems

We refer to it as theContinuous Category Discovery(CCD) problem, which is significantly more challenging than the static setting.