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Addressing Common Misinterpretations of KART and UAT in Neural Network Literature

Vugar Ismailov
Abstract

This note addresses the Kolmogorov-Arnold Representation Theorem (KART) and the Universal Approximation Theorem (UAT), focusing on their common misinterpretations in some papers related to neural network approximation. Our remarks aim to support a more accurate understanding of KART and UAT among neural network specialists.

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@article{ismailov2025_2408.16389,
  title={ Addressing common misinterpretations of KART and UAT in neural network literature },
  author={ Vugar Ismailov },
  journal={arXiv preprint arXiv:2408.16389},
  year={ 2025 }
}
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