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EML Trees Show Universal Approximation Properties in New Research

Researchers have introduced EML (Exp-Minus-Log) trees, a novel compositional building block that functions as a continuous analog to NAND gates. These EML trees demonstrate a universal approximation property for functions within the $W^{k, \infty}$ space, drawing parallels to classical neural network approximation arguments. The study also proposes a practical learning algorithm for these EML trees, showcasing their potential in optimization problems and establishing them as a theoretically sound framework for function approximation. AI

RANK_REASON The cluster contains an academic paper detailing a new theoretical framework for function approximation.

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EML Trees Show Universal Approximation Properties in New Research

COVERAGE [2]

  1. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Joseph Bakarji ·

    EML Trees Are Universal Approximators

    The recently introduced EML (Exp-Minus-Log) function acts as continuous analogue of NAND gates, providing a compositional building block capable of representing elementary functions. In this work, we study the expressive power of tree-structured compositions of EML functions. We …

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    EML Trees Are Universal Approximators

    The recently introduced EML (Exp-Minus-Log) function acts as continuous analogue of NAND gates, providing a compositional building block capable of representing elementary functions. In this work, we study the expressive power of tree-structured compositions of EML functions. We …