High-Precision Softmax Division without Multipliers or Look-Up Tables

Junseok Park, Chae Eun Rhee · 2025

Softmax plays a critical role in deep learning accelerators, but its hardware implementations often suffer from precision loss due to inaccurate division operations. This paper focuses on the design of a high-precision division unit for Softmax, introducing a three-segment piecewise approximation of $\frac{1}{{1 + s}}$ that effectively reduces approximation errors. The proposed approach improves numerical accuracy over previous designs, while preserving hardware efficiency and maintaining a multiplication-free and look-up table-free architecture.

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