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Ternary neural networks offer theoretical expressivity comparable to standard NNs

Researchers have theoretically analyzed the expressivity of ternary neural networks, which use parameters restricted to {-1, 0, +1}. The study focuses on regression networks with ReLU activation functions, proving that the number of linear regions grows polynomially with width and exponentially with depth. This theoretical understanding helps explain the practical success of ternary networks in applications like image recognition and natural language processing. AI

影响 Provides theoretical justification for the effectiveness of ternary neural networks, potentially guiding future research in efficient model design.

排序理由 Academic paper analyzing the theoretical properties of a specific type of neural network.

在 arXiv cs.LG 阅读 →

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Ternary neural networks offer theoretical expressivity comparable to standard NNs

报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yuta Nakahara, Manabu Kobayashi, Toshiyasu Matsushima ·

    A Lower Bound for the Number of Linear Regions of Ternary ReLU Regression Neural Networks

    arXiv:2507.16079v2 Announce Type: replace Abstract: With the advancement of deep learning, reducing computational complexity and memory consumption has become a critical challenge, and ternary neural networks (NNs) that restrict parameters to $\{-1, 0, +1\}$ have attracted attent…