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Symplectic geometry and recurrence enable data-efficient nonlinear control

Researchers have introduced a new method for data-driven target reachability in Hamiltonian systems by leveraging symplectic geometry. This approach aims to improve data efficiency in nonlinear control by incorporating inductive biases derived from physical laws, specifically the structure of Hamiltonian dynamics. The method combines intrinsic recurrence properties with chain policies, which are composed of locally certified trajectory segments from demonstrations, to achieve target reachability. The data requirements for this construction depend on geometric and recurrence properties rather than the state dimension. AI

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RANK_REASON The item is an arXiv preprint detailing a new research methodology in control theory and optimization.

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Symplectic geometry and recurrence enable data-efficient nonlinear control

COVERAGE [1]

  1. arXiv stat.ML TIER_1 · Enrique Mallada ·

    Symplectic Inductive Bias for Data-Driven Target Reachability in Hamiltonian Systems

    Inductive bias refers to restrictions on the hypothesis class that enable a learning method to generalize effectively from limited data. A canonical example in control is linearity, which underpins low sample-complexity guarantees for stabilization and optimal control. For genera…