用混沌映射增强特征,让小数据下图像分类更准。
Chaotic CNN for Limited Data Image Classification

- 用逻辑、斜帐篷、正弦映射对特征做非线性变换
- 小样本下准确率最高提升9.11%(时尚数据集)
- 无需额外参数,能轻松接入现有模型
卷积神经网络在小样本场景中常因过拟合和特征多样性不足导致泛化能力差。本文提出一种基于混沌的特征变换方法,在不增加模型复杂度的前提下提升性能。该方法在分类层前对归一化特征向量应用逻辑映射、斜帐篷映射和正弦映射等非线性变换,重塑特征空间,增强类别可分性。在灰度数据集(MNIST、Fashion-MNIST)和彩色数据集(CIFAR-10)上,使用不同深度的CNN架构,在有限数据条件下进行评估。结果表明,所有数据集上均优于独立基线(SA)CNN。其中,3层CNN在每类40样本时,斜帐篷映射使MNIST准确率提升5.43%;50样本时,正弦映射在Fashion-MNIST上提升9.11%;200样本时,斜帐篷映射在CIFAR-10上提升7.47%。不同混沌映射的一致增益说明性能提升源于混沌系统的非线性与动态特性。该方法计算高效,无额外可训练参数,可无缝集成至现有CNN结构,是小样本图像分类的实用方案。
原文摘要 · Abstract (English)
Convolutional neural networks (CNNs) often exhibit poor generalisation in limited training data scenarios due to overfitting and insufficient feature diversity. In this work, a simple and effective chaos-based feature transformation is proposed to enhance CNN performance without increasing model complexity. The method applies nonlinear transformations using logistic, skew tent, and sine maps to normalised feature vectors before the classification layer, thereby reshaping the feature space and improving class separability. The approach is evaluated on greyscale datasets (MNIST and Fashion-MNIST) and an RGB dataset (CIFAR-10) using CNN architectures of varying depth under limited data conditions. The results show consistent improvement over the standalone (SA) CNN across all datasets. Notably, a maximum performance gain of 5.43% is achieved on MNIST using the skew tent map with a 3-layer CNN at 40 samples per class. A higher gain of 9.11% is observed on Fashion-MNIST using the sine map with a 3-layer CNN at 50 samples per class. Additionally, a strong gain of 7.47% is obtained on CIFAR-10 using the skew tent map at 200 samples per class. The consistent improvements across different chaotic maps indicate that the performance gain is driven by the shared nonlinear and dynamical properties of chaotic systems. The proposed method is computationally efficient, requires no additional trainable parameters, and can be easily integrated into existing CNN architectures, making it a practical solution for data-scarce image classification tasks.
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