TranSC: Hardware-Aware Design of Transcendental Functions Using Stochastic Logic

Fuente: arXiv
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Hauptverfasser: Moghadam, Mehran, Aygun, Sercan, Najafi, M. Hassan
Format: Preprint
Veröffentlicht: 2026
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author Moghadam, Mehran
Aygun, Sercan
Najafi, M. Hassan
author_facet Moghadam, Mehran
Aygun, Sercan
Najafi, M. Hassan
contents The hardware-friendly implementation of transcendental functions remains a longstanding challenge in design automation. These functions, which cannot be expressed as finite combinations of algebraic operations, pose significant complexity in digital circuit design. This study introduces a novel approach, TranSC, that utilizes stochastic computing (SC) for lightweight yet accurate implementation of transcendental functions. Building on established SC techniques, our method explores alternative random sources-specifically, quasi-random Van der Corput low-discrepancy (LD) sequences-instead of conventional pseudo-randomness. This shift enhances both the accuracy and efficiency of SC-based computations. We validate our approach through extensive experiments on various function types, including trigonometric, hyperbolic, and activation functions. The proposed design approach significantly reduces MSE by up to 98% compared to the state-of-the-art solutions while reducing hardware area, power consumption, and energy usage by 33%, 72%, and 64%, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07172
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle TranSC: Hardware-Aware Design of Transcendental Functions Using Stochastic Logic
Moghadam, Mehran
Aygun, Sercan
Najafi, M. Hassan
Emerging Technologies
Robotics
Systems and Control
The hardware-friendly implementation of transcendental functions remains a longstanding challenge in design automation. These functions, which cannot be expressed as finite combinations of algebraic operations, pose significant complexity in digital circuit design. This study introduces a novel approach, TranSC, that utilizes stochastic computing (SC) for lightweight yet accurate implementation of transcendental functions. Building on established SC techniques, our method explores alternative random sources-specifically, quasi-random Van der Corput low-discrepancy (LD) sequences-instead of conventional pseudo-randomness. This shift enhances both the accuracy and efficiency of SC-based computations. We validate our approach through extensive experiments on various function types, including trigonometric, hyperbolic, and activation functions. The proposed design approach significantly reduces MSE by up to 98% compared to the state-of-the-art solutions while reducing hardware area, power consumption, and energy usage by 33%, 72%, and 64%, respectively.
title TranSC: Hardware-Aware Design of Transcendental Functions Using Stochastic Logic
topic Emerging Technologies
Robotics
Systems and Control
url https://arxiv.org/abs/2601.07172