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AI discovers superior math function approximations

Researchers have developed a new method called AutoNumerics-Zero that uses symbolic regression to automatically discover mathematical function approximations. This approach can create highly efficient approximations for transcendental functions, even when arbitrary accuracy is not required. The system discovered a 10-operation program for the exponential function that achieves 14 significant figures of accuracy, outperforming existing methods of similar complexity by several orders of magnitude. AI

IMPACT Automates the discovery of optimized mathematical approximations, potentially improving efficiency in scientific computing and specialized hardware.

RANK_REASON The cluster contains an academic paper detailing a new method for discovering mathematical function approximations. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Esteban Real, Mirko Rossini, Connal de Souza, Manav Garg, Moritz Firsching, Quoc V. Le, Yao Chen, Akhil Verghese, Ekin Dogus Cubuk, David H. Park ·

    AutoNumerics-Zero: Automated Discovery of State-of-the-Art Mathematical Functions

    arXiv:2312.08472v2 Announce Type: replace-cross Abstract: Transcendental functions, such as the exponential, are central to scientific computing, yet they cannot be natively calculated by digital hardware. Instead, computers must approximate these functions by combining basic ope…