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What Makes a Good Symbol for Hybrid Discrete-Continuous Planning?

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NEWS ABSTRACT10/22/2026 · one shared analysis

The paper argues that a useful symbol for hybrid discrete-continuous robot planning is one that exposes the discrete commitments simplifying the underlying planning problem for the solver. It introduces solver-sufficient symbolization, characterized precisely for finite-horizon piecewise-affine systems, and a counterexample-guided algorithm for symbol invention. The approach is extended to optimization objectives parameterized by neural networks as energy functions, with symbols induced from continuous optimization landscapes. Reported experiments on simulated and real-robot tasks indicate reduced solving cost, preserved solution quality, and improved interpretability and steerability.

Why it matters

It offers a computational criterion for choosing symbols in robot planning, rather than relying on human-defined or language-derived sets, and may explain why certain human symbols work well.

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Source claims not independently checked; the source text is mostly a Hugging Face page with a bot-generated recommendation list and does not include the full experimental details.

hybrid planningsymbol inventionrobot planningpiecewise-affine systemsneural energy functions

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