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arXiv 2103.16080cs.LGcs.AIcs.PL
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程序合成几何

Geometry of Program Synthesis

University of Melbourne(墨尔本大学)

James Clift, Daniel Murfet, James Wallbridge

摘要:

我们重新评估通用计算的基础上综合的图灵机。这导致了一种观点的程序作为奇点的分析品种,或等价地,作为阶段的贝叶斯后综合问题。这种新的观点揭示了程序合成的研究方向,其中神经网络是一个子集,例如在相变,复杂性和概括。我们也奠定了这些新方向的经验基础,报告我们的代码中的一些简单的实验实施。

英文摘要:

We re-evaluate universal computation based on the synthesis of Turing machines. This leads to a view of programs as singularities of analytic varieties or, equivalently, as phases of the Bayesian posterior of a synthesis problem. This new point of view reveals unexplored directions of research in program synthesis, of which neural networks are a subset, for example in relation to phase transitions, complexity and generalisation. We also lay the empirical foundations for these new directions by reporting on our implementation in code of some simple experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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