NeuroPDE: A Neuromorphic PDE Solver Based on Spintronic and Ferroelectric Devices

Fuente: arXiv
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Main Authors: Fu, Siqing, Wu, Lizhou, Li, Tiejun, Zhang, Chunyuan, Ma, Sheng, Zhang, Jianmin, Tang, Yuhan, Tang, Jixuan
Format: Preprint
Published: 2025
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author Fu, Siqing
Wu, Lizhou
Li, Tiejun
Zhang, Chunyuan
Ma, Sheng
Zhang, Jianmin
Tang, Yuhan
Tang, Jixuan
author_facet Fu, Siqing
Wu, Lizhou
Li, Tiejun
Zhang, Chunyuan
Ma, Sheng
Zhang, Jianmin
Tang, Yuhan
Tang, Jixuan
contents In recent years, new methods for solving partial differential equations (PDEs) such as Monte Carlo random walk methods have gained considerable attention. However, due to the lack of hardware-intrinsic randomness in the conventional von Neumann architecture, the performance of PDE solvers is limited. In this paper, we introduce NeuroPDE, a hardware design for neuromorphic PDE solvers that utilizes emerging spintronic and ferroelectric devices. NeuroPDE incorporates spin neurons that are capable of probabilistic transmission to emulate random walks, along with ferroelectric synapses that store continuous weights non-volatilely. The proposed NeuroPDE achieves a variance of less than 1e-2 compared to analytical solutions when solving diffusion equations, demonstrating a performance advantage of 3.48x to 315x speedup in execution time and an energy consumption advantage of 2.7x to 29.8x over advanced CMOS-based neuromorphic chips. By leveraging the inherent physical stochasticity of emerging devices, this study paves the way for future probabilistic neuromorphic computing systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_04677
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle NeuroPDE: A Neuromorphic PDE Solver Based on Spintronic and Ferroelectric Devices
Fu, Siqing
Wu, Lizhou
Li, Tiejun
Zhang, Chunyuan
Ma, Sheng
Zhang, Jianmin
Tang, Yuhan
Tang, Jixuan
Hardware Architecture
B.7.1
In recent years, new methods for solving partial differential equations (PDEs) such as Monte Carlo random walk methods have gained considerable attention. However, due to the lack of hardware-intrinsic randomness in the conventional von Neumann architecture, the performance of PDE solvers is limited. In this paper, we introduce NeuroPDE, a hardware design for neuromorphic PDE solvers that utilizes emerging spintronic and ferroelectric devices. NeuroPDE incorporates spin neurons that are capable of probabilistic transmission to emulate random walks, along with ferroelectric synapses that store continuous weights non-volatilely. The proposed NeuroPDE achieves a variance of less than 1e-2 compared to analytical solutions when solving diffusion equations, demonstrating a performance advantage of 3.48x to 315x speedup in execution time and an energy consumption advantage of 2.7x to 29.8x over advanced CMOS-based neuromorphic chips. By leveraging the inherent physical stochasticity of emerging devices, this study paves the way for future probabilistic neuromorphic computing systems.
title NeuroPDE: A Neuromorphic PDE Solver Based on Spintronic and Ferroelectric Devices
topic Hardware Architecture
B.7.1
url https://arxiv.org/abs/2507.04677