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arXiv 2504.03497cs.LG
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混合实值与复值神经网络架构

Hybrid Real- and Complex-valued Neural Network Architecture

NXP Semiconductors(恩智浦半导体);Eindhoven University of Technology(埃因霍温理工大学);Karlsruhe Institute of Technology(卡尔斯鲁厄理工学院)

Alex Young, Luan Vinícius Fiorio, Bo Yang, Boris Karanov, Wim van Houtum, Ronald M. Aarts

AI总结:

提出混合实值与复值神经网络(HNN)架构,通过结合实值和复值路径及域转换函数,并引入高效复值激活函数,在AudioMNIST数据集上相比RVNN显著降低交叉熵损失并减少参数消耗。

摘要:

我们提出了一种混合实值与复值神经网络(HNN)架构,旨在将实值处理的计算效率与有效处理复值数据的能力相结合。我们通过展示实值神经网络(RVNN)如何学习执行复值卷积,但由于其实值约束而产生显著低效,从而说明了在处理内在复值问题时使用RVNN的局限性。为创建HNN,我们建议使用包含实值和复值路径的构建块,其中域之间的信息通过域转换函数进行交换。我们还引入了新颖的复值激活函数,具有更高的泛化和参数化效率。描述了针对HNN的特定架构搜索技术,以在更大的解空间中进行导航。在AudioMNIST数据集上的实验表明,在所有考虑的情况下,与RVNN相比,HNN降低了交叉熵损失并消耗更少的参数。这些结果突出了在神经网络中使用部分复值处理的潜力,以及HNN在许多信号处理领域的应用前景。

英文摘要:

We propose a \emph{hybrid} real- and complex-valued \emph{neural network} (HNN) architecture, designed to combine the computational efficiency of real-valued processing with the ability to effectively handle complex-valued data. We illustrate the limitations of using real-valued neural networks (RVNNs) for inherently complex-valued problems by showing how it learnt to perform complex-valued convolution, but with notable inefficiencies stemming from its real-valued constraints. To create the HNN, we propose to use building blocks containing both real- and complex-valued paths, where information between domains is exchanged through domain conversion functions. We also introduce novel complex-valued activation functions, with higher generalisation and parameterisation efficiency. HNN-specific architecture search techniques are described to navigate the larger solution space. Experiments with the AudioMNIST dataset demonstrate that the HNN reduces cross-entropy loss and consumes less parameters compared to an RVNN for all considered cases. Such results highlight the potential for the use of partially complex-valued processing in neural networks and applications for HNNs in many signal processing domains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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