To decouple the learning of underlying scene geometry from dynamic motion, we represent the scene as a time-invariantsigneddistance function (SDF)whichservesasareference frame, along with a time-conditioned deformation field.

We give a model of how to infer natural language rules by doing experiments.

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Heated chains more readily traverse valleys in the probability landscape topropose movestofar-awaypeaks,whilethecolderchainsmakethe local steps that explore the current peak or patch.

Perception and reasoning are two representative abilities of intelligence that are integrated seamlessly during human problem-solving processes.

We live in a three-dimensional world, and a proper understanding of its volumetric structure is crucial for acting and planning. However, we perceive the world mainly via its two-dimensional projections.

Temporal logics have been used in prior research as a language forexpressing desirable system behaviors, and canimprovetheinterpretability ofspecifications if expressed as compositions of simpler templates (akin to those described by Dwyer et al. [2]).

Understanding and reasoning about physics is a hallmark of intelligence [9].

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See Appendix Aforanoteontrain/testsplitfor Task 3. loss Testloss Energy Baseline HNNBaseline HNNBaseline HNN mass-spring170 20.38 .1 pendulum 42 10 25 5 pendulum 390 7 14 5 (6.3e4 3e4 39 5 pendulum.3