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New conservation law quantifies program discovery costs

By PulseAugur Editorial · [1 sources] ·

A new paper introduces a conservation law for program discovery, suggesting that injecting structural knowledge into a search algorithm trades off directly against the search effort. This law quantifies the cost of finding the shortest program that generates a given sequence, showing that existing methods like Levin search and evolutionary algorithms have an exponential worst-case lower bound related to the search problem's coupling width. The research proposes an alternative approach that analyzes a candidate program's structure rather than just its score, which, while potentially incomplete for generic targets, demonstrated success in recovering generating programs for a significant portion of tested sequences, including elementary cellular automata. AI

RANK_REASON This is a research paper published on arXiv detailing a new theoretical concept in program discovery. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New conservation law quantifies program discovery costs

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This is a research paper published on arXiv detailing a new theoretical concept in program discovery. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jorge Miguel Silva ·

    The Program Is Still There: A Conservation Law for Program Discovery

    arXiv:2606.13799v1 Announce Type: cross Abstract: Finding the shortest program that generates a sequence is uncomputable, and for six decades that fact has been mistaken for a wall around finding any generating program. It is not a wall but a price, and this paper measures it. Fo…

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