Journal of Computer Applications ›› 2026, Vol. 46 ›› Issue (7): 2119-2129.DOI: 10.11772/j.issn.1001-9081.2025060774
• Artificial intelligence • Previous Articles
Xiaohong QIU1,2, Zixiang YU1(
), Yujie HU1
Received:2025-07-15
Revised:2025-09-15
Accepted:2025-09-19
Online:2025-09-28
Published:2026-07-10
Contact:
Zixiang YU
About author:QIU Xiaohong, born in 1967, Ph. D., professor. His research interests include intelligent computing, fault diagnosis.Supported by:通讯作者:
于子祥
作者简介:邱晓红(1967—),男,江西南康人,教授,博士,主要研究方向:智能计算、故障诊断基金资助:CLC Number:
Xiaohong QIU, Zixiang YU, Yujie HU. Sample augmentation method for fault diagnosis with high-frequency guided diffusion model[J]. Journal of Computer Applications, 2026, 46(7): 2119-2129.
邱晓红, 于子祥, 胡玉杰. 高频引导的扩散模型故障诊断样本增广方法[J]. 《计算机应用》唯一官方网站, 2026, 46(7): 2119-2129.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2025060774
| 故障类别 | 状态 | 尺寸/mil | 负载 | 转速/(r·min-1) | 样本数 |
|---|---|---|---|---|---|
| 1 | 正常 | 0 | 1 797 | 928 | |
| 2 | 内圈故障 | 7 | 0 | 1 797 | 928 |
| 3 | 内圈故障 | 14 | 0 | 1 797 | 928 |
| 4 | 内圈故障 | 21 | 0 | 1 797 | 928 |
| 5 | 外圈故障 | 7 | 0 | 1 797 | 928 |
| 6 | 外圈故障 | 14 | 0 | 1 797 | 928 |
| 7 | 外圈故障 | 21 | 0 | 1 797 | 928 |
| 8 | 滚动体故障 | 7 | 0 | 1 797 | 928 |
| 9 | 滚动体故障 | 14 | 0 | 1 797 | 928 |
| 10 | 滚动体故障 | 21 | 0 | 1 797 | 928 |
Tab. 1 Original distribution of CWRU dataset
| 故障类别 | 状态 | 尺寸/mil | 负载 | 转速/(r·min-1) | 样本数 |
|---|---|---|---|---|---|
| 1 | 正常 | 0 | 1 797 | 928 | |
| 2 | 内圈故障 | 7 | 0 | 1 797 | 928 |
| 3 | 内圈故障 | 14 | 0 | 1 797 | 928 |
| 4 | 内圈故障 | 21 | 0 | 1 797 | 928 |
| 5 | 外圈故障 | 7 | 0 | 1 797 | 928 |
| 6 | 外圈故障 | 14 | 0 | 1 797 | 928 |
| 7 | 外圈故障 | 21 | 0 | 1 797 | 928 |
| 8 | 滚动体故障 | 7 | 0 | 1 797 | 928 |
| 9 | 滚动体故障 | 14 | 0 | 1 797 | 928 |
| 10 | 滚动体故障 | 21 | 0 | 1 797 | 928 |
| 方法 | 训练轮次 | 批次大小 | 学习率 | 优化器 |
|---|---|---|---|---|
| ACGAN | 10 000 | 64 | 0.000 2 | Adam |
| WGAN-GP | 10 000 | 64 | 0.000 2 | Adam |
| VAE | 1 000 | 64 | 0.000 2 | Adam |
| DDIM | 500 | 32 | 0.001 0 | AdamW |
| IVQ-LDM | 2 000 | 20 | 0.001 0 | Adam |
| CDDPM | 300 | 64 | 0.000 1 | Adam |
| 本文方法 | 500 | 32 | 0.001 0 | AdamW |
Tab. 2 Experimental parameters for CWRU dataset
| 方法 | 训练轮次 | 批次大小 | 学习率 | 优化器 |
|---|---|---|---|---|
| ACGAN | 10 000 | 64 | 0.000 2 | Adam |
| WGAN-GP | 10 000 | 64 | 0.000 2 | Adam |
| VAE | 1 000 | 64 | 0.000 2 | Adam |
| DDIM | 500 | 32 | 0.001 0 | AdamW |
| IVQ-LDM | 2 000 | 20 | 0.001 0 | Adam |
| CDDPM | 300 | 64 | 0.000 1 | Adam |
| 本文方法 | 500 | 32 | 0.001 0 | AdamW |
| 指标 | 描述 |
|---|---|
| SSIM | 衡量2个样本之间的结构相似性。越接近于1,表明2个样本相似度越高 |
| HF-SSIM | 针对图像高频成分的结构相似性度量,能精确捕捉细节差异。越接近于1,表明图像高频成分信息越接近 |
| MMD | 衡量2个概率分布在核希尔伯特空间中的距离。越接近于0,表明二者相似度越高 |
| JSD | 在本文应用场景下用于衡量生成样本与真实样本在归一化时频能量分布上的差异。数值越接近于0,表示生成样本在时频结构上的物理意义越接近真实样本 |
Tab. 3 Description of evaluation indicators
| 指标 | 描述 |
|---|---|
| SSIM | 衡量2个样本之间的结构相似性。越接近于1,表明2个样本相似度越高 |
| HF-SSIM | 针对图像高频成分的结构相似性度量,能精确捕捉细节差异。越接近于1,表明图像高频成分信息越接近 |
| MMD | 衡量2个概率分布在核希尔伯特空间中的距离。越接近于0,表明二者相似度越高 |
| JSD | 在本文应用场景下用于衡量生成样本与真实样本在归一化时频能量分布上的差异。数值越接近于0,表示生成样本在时频结构上的物理意义越接近真实样本 |
| 方法 | SSIM | HF-SSIM | MMD | JSD |
|---|---|---|---|---|
| ACGAN | 0.296 | 0.165 | 2.144 | 0.403 |
| WGAN-GP | 1.405 | 0.223 | ||
| VAE | 0.307 | 0.149 | 2.013 | 0.387 |
| DDIM | 0.417 | 0.321 | 0.256 | |
| CDDPM | 0.391 | 0.315 | 1.458 | |
| IVQ-LDM | 0.364 | 0.279 | 1.770 | 0.284 |
| 本文方法 | 0.503 | 0.418 | 0.967 | 0.182 |
Tab. 4 Evaluation indicator results on CWRU dataset
| 方法 | SSIM | HF-SSIM | MMD | JSD |
|---|---|---|---|---|
| ACGAN | 0.296 | 0.165 | 2.144 | 0.403 |
| WGAN-GP | 1.405 | 0.223 | ||
| VAE | 0.307 | 0.149 | 2.013 | 0.387 |
| DDIM | 0.417 | 0.321 | 0.256 | |
| CDDPM | 0.391 | 0.315 | 1.458 | |
| IVQ-LDM | 0.364 | 0.279 | 1.770 | 0.284 |
| 本文方法 | 0.503 | 0.418 | 0.967 | 0.182 |
| 方法 | GAN-train | GAN-test |
|---|---|---|
| 原始数据 | 98.26±0.43 | |
| ACGAN | 81.16±1.09 | 85.27±1.69 |
| WGAN-GP | ||
| VAE | 84.30±0.65 | 82.39±1.01 |
| DDIM | 90.77±0.90 | 91.33±0.49 |
| CDDPM | 92.17±1.21 | 91.40±0.84 |
| IVQ-LDM | 88.67±1.12 | 88.42±0.87 |
| 本文方法 | 95.57±0.63 | 95.71±0.75 |
Tab. 5 GAN train/GAN test evaluation accuracy results on CWRU dataset
| 方法 | GAN-train | GAN-test |
|---|---|---|
| 原始数据 | 98.26±0.43 | |
| ACGAN | 81.16±1.09 | 85.27±1.69 |
| WGAN-GP | ||
| VAE | 84.30±0.65 | 82.39±1.01 |
| DDIM | 90.77±0.90 | 91.33±0.49 |
| CDDPM | 92.17±1.21 | 91.40±0.84 |
| IVQ-LDM | 88.67±1.12 | 88.42±0.87 |
| 本文方法 | 95.57±0.63 | 95.71±0.75 |
| 实验序号 | 故障样本 | 生成样本 | 正常样本 | 比例 |
|---|---|---|---|---|
| 1 | 4 | 0 | 400 | 1∶100 |
| 2 | 4 | 4 | 400 | 1∶50 |
| 3 | 4 | 36 | 400 | 1∶10 |
| 4 | 4 | 76 | 400 | 1∶5 |
| 5 | 4 | 196 | 400 | 1∶2 |
| 6 | 4 | 396 | 400 | 1∶1 |
Tab. 6 Proportions of diagnostic samples on CWRU dataset
| 实验序号 | 故障样本 | 生成样本 | 正常样本 | 比例 |
|---|---|---|---|---|
| 1 | 4 | 0 | 400 | 1∶100 |
| 2 | 4 | 4 | 400 | 1∶50 |
| 3 | 4 | 36 | 400 | 1∶10 |
| 4 | 4 | 76 | 400 | 1∶5 |
| 5 | 4 | 196 | 400 | 1∶2 |
| 6 | 4 | 396 | 400 | 1∶1 |
| 方法 | 不同样本比例下的诊断准确率/% | |||||
|---|---|---|---|---|---|---|
| 1∶100 | 1∶50 | 1∶10 | 1∶5 | 1∶2 | 1∶1 | |
| ACGAN | 58.83 | 71.39 | 73.66 | 81.53 | 83.82 | |
| WGAN-GP | 52.81 | 62.30 | 81.72 | 89.32 | ||
| VAE | 53.70 | 59.37 | 70.42 | 78.78 | 85.10 | 88.36 |
| DDIM | 51.97 | 61.39 | 75.04 | 84.21 | 90.76 | 94.12 |
| CDDPM | 53.13 | 80.07 | 91.80 | 94.48 | ||
| IVQ-LDM | 52.40 | 60.78 | 76.36 | 87.51 | 89.65 | 92.83 |
| 本文方法 | 52.23 | 69.58 | 90.61 | 94.49 | 97.41 | |
Tab. 7 Diagnosis accuracies of different methods on CWRU dataset
| 方法 | 不同样本比例下的诊断准确率/% | |||||
|---|---|---|---|---|---|---|
| 1∶100 | 1∶50 | 1∶10 | 1∶5 | 1∶2 | 1∶1 | |
| ACGAN | 58.83 | 71.39 | 73.66 | 81.53 | 83.82 | |
| WGAN-GP | 52.81 | 62.30 | 81.72 | 89.32 | ||
| VAE | 53.70 | 59.37 | 70.42 | 78.78 | 85.10 | 88.36 |
| DDIM | 51.97 | 61.39 | 75.04 | 84.21 | 90.76 | 94.12 |
| CDDPM | 53.13 | 80.07 | 91.80 | 94.48 | ||
| IVQ-LDM | 52.40 | 60.78 | 76.36 | 87.51 | 89.65 | 92.83 |
| 本文方法 | 52.23 | 69.58 | 90.61 | 94.49 | 97.41 | |
| 故障类别 | 状态 | 转速/(r·min-1) | 样本数 |
|---|---|---|---|
| 1 | 正常 | 600 | 976 |
| 2 | 正常 | 1 000 | 976 |
| 3 | 内圈故障 | 600 | 976 |
| 4 | 内圈故障 | 1 000 | 976 |
| 5 | 外圈故障 | 600 | 976 |
| 6 | 外圈故障 | 1 000 | 976 |
| 7 | 滚动体故障 | 600 | 976 |
| 8 | 滚动体故障 | 1 000 | 976 |
Tab. 8 Original distribution of JNU dataset
| 故障类别 | 状态 | 转速/(r·min-1) | 样本数 |
|---|---|---|---|
| 1 | 正常 | 600 | 976 |
| 2 | 正常 | 1 000 | 976 |
| 3 | 内圈故障 | 600 | 976 |
| 4 | 内圈故障 | 1 000 | 976 |
| 5 | 外圈故障 | 600 | 976 |
| 6 | 外圈故障 | 1 000 | 976 |
| 7 | 滚动体故障 | 600 | 976 |
| 8 | 滚动体故障 | 1 000 | 976 |
| 方法 | SSIM | HF-SSIM | MMD | JSD |
|---|---|---|---|---|
| ACGAN | 0.248 | 0.217 | 2.410 | 0.473 |
| WGAN-GP | 0.391 | 0.339 | ||
| VAE | 0.271 | 0.157 | 2.235 | 0.350 |
| DDIM | 1.429 | 0.276 | ||
| SMOTEENN | 0.387 | 0.329 | 1.575 | 0.291 |
| IVQ-LDM | 0.363 | 0.309 | 1.813 | 0.285 |
| CDDPM | 0.389 | 0.327 | 1.307 | 0.270 |
| 本文方法 | 0.453 | 0.392 | 0.917 | 0.193 |
Tab. 9 Evaluation indicator results on JNU dataset
| 方法 | SSIM | HF-SSIM | MMD | JSD |
|---|---|---|---|---|
| ACGAN | 0.248 | 0.217 | 2.410 | 0.473 |
| WGAN-GP | 0.391 | 0.339 | ||
| VAE | 0.271 | 0.157 | 2.235 | 0.350 |
| DDIM | 1.429 | 0.276 | ||
| SMOTEENN | 0.387 | 0.329 | 1.575 | 0.291 |
| IVQ-LDM | 0.363 | 0.309 | 1.813 | 0.285 |
| CDDPM | 0.389 | 0.327 | 1.307 | 0.270 |
| 本文方法 | 0.453 | 0.392 | 0.917 | 0.193 |
| 方法 | GAN-train | GAN-test |
|---|---|---|
| 原始数据 | 97.60±0.29 | |
| ACGAN | 75.69±1.03 | 80.12±2.10 |
| WGAN-GP | 92.19±0.74 | 93.67±0.88 |
| VAE | 78.34±0.81 | 83.46±0.68 |
| DDIM | 91.73±0.94 | 91.33±0.72 |
| SMOTEENN | 90.39±1.00 | |
| CDDPM | 92.47±0.59 | |
| IVQ-LDM | 92.31±0.66 | 91.87±0.74 |
| 本文方法 | 96.23±0.49 | 95.59±0.53 |
Tab. 10 GAN train/GAN test evaluation accuracy results on JNU dataset
| 方法 | GAN-train | GAN-test |
|---|---|---|
| 原始数据 | 97.60±0.29 | |
| ACGAN | 75.69±1.03 | 80.12±2.10 |
| WGAN-GP | 92.19±0.74 | 93.67±0.88 |
| VAE | 78.34±0.81 | 83.46±0.68 |
| DDIM | 91.73±0.94 | 91.33±0.72 |
| SMOTEENN | 90.39±1.00 | |
| CDDPM | 92.47±0.59 | |
| IVQ-LDM | 92.31±0.66 | 91.87±0.74 |
| 本文方法 | 96.23±0.49 | 95.59±0.53 |
| 实验序号 | 故障样本 | 生成样本 | 正常样本 | 比例 |
|---|---|---|---|---|
| 1 | 5 | 0 | 400 | 1∶100 |
| 2 | 5 | 3 | 400 | 1∶50 |
| 3 | 5 | 35 | 400 | 1∶10 |
| 4 | 5 | 75 | 400 | 1∶5 |
| 5 | 5 | 195 | 400 | 1∶2 |
| 6 | 5 | 395 | 400 | 1∶1 |
Tab. 11 Proportions of diagnostic samples of JNU data
| 实验序号 | 故障样本 | 生成样本 | 正常样本 | 比例 |
|---|---|---|---|---|
| 1 | 5 | 0 | 400 | 1∶100 |
| 2 | 5 | 3 | 400 | 1∶50 |
| 3 | 5 | 35 | 400 | 1∶10 |
| 4 | 5 | 75 | 400 | 1∶5 |
| 5 | 5 | 195 | 400 | 1∶2 |
| 6 | 5 | 395 | 400 | 1∶1 |
| 方法 | 1∶100 | 1∶50 | 1∶10 | 1∶5 | 1∶2 | 1∶1 |
|---|---|---|---|---|---|---|
| ACGAN | 49.35 | 58.97 | 65.71 | 72.17 | 78.32 | 82.50 |
| WGAN-GP | 49.89 | 74.12 | 81.60 | 89.43 | 94.31 | |
| VAE | 48.47 | 59.33 | 63.80 | 75.47 | 80.68 | 85.16 |
| DDIM | 48.91 | 62.76 | 80.61 | 87.76 | 91.09 | |
| SMOTEENN | 49.10 | 61.69 | 74.37 | 82.26 | 88.13 | 92.16 |
| CDDPM | 48.61 | 63.58 | 74.41 | |||
| IVQ-LDM | 49.30 | 61.36 | 72.50 | 79.24 | 89.65 | 92.50 |
| 本文方法 | 66.42 | 76.83 | 85.47 | 92.59 | 96.66 |
Tab. 12 Diagnosis accuracies of different methods on JNU dataset
| 方法 | 1∶100 | 1∶50 | 1∶10 | 1∶5 | 1∶2 | 1∶1 |
|---|---|---|---|---|---|---|
| ACGAN | 49.35 | 58.97 | 65.71 | 72.17 | 78.32 | 82.50 |
| WGAN-GP | 49.89 | 74.12 | 81.60 | 89.43 | 94.31 | |
| VAE | 48.47 | 59.33 | 63.80 | 75.47 | 80.68 | 85.16 |
| DDIM | 48.91 | 62.76 | 80.61 | 87.76 | 91.09 | |
| SMOTEENN | 49.10 | 61.69 | 74.37 | 82.26 | 88.13 | 92.16 |
| CDDPM | 48.61 | 63.58 | 74.41 | |||
| IVQ-LDM | 49.30 | 61.36 | 72.50 | 79.24 | 89.65 | 92.50 |
| 本文方法 | 66.42 | 76.83 | 85.47 | 92.59 | 96.66 |
| 实验序号 | 灰度谱图 | 辅助分类器 | 高频引导模块 | SSIM | HF-SSIM | MMD | JSD |
|---|---|---|---|---|---|---|---|
| 1 | √ | × | × | 0.410 | 0.317 | 1.430 | 0.254 |
| 2 | √ | × | √ | ||||
| 3 | √ | √ | × | 0.429 | 0.341 | 1.253 | 0.221 |
| 4 | √ | √ | √ | 0.503 | 0.418 | 0.967 | 0.182 |
Tab. 13 Ablation experimental results of sample generation quality
| 实验序号 | 灰度谱图 | 辅助分类器 | 高频引导模块 | SSIM | HF-SSIM | MMD | JSD |
|---|---|---|---|---|---|---|---|
| 1 | √ | × | × | 0.410 | 0.317 | 1.430 | 0.254 |
| 2 | √ | × | √ | ||||
| 3 | √ | √ | × | 0.429 | 0.341 | 1.253 | 0.221 |
| 4 | √ | √ | √ | 0.503 | 0.418 | 0.967 | 0.182 |
| 实验序号 | 灰度谱图 | 辅助分类器 | 高频引导模块 | 训练时长/h | 准确率/% |
|---|---|---|---|---|---|
| 1 | × | × | × | 2.71 | 93.48 |
| 2 | × | √ | √ | 2.34 | 95.79 |
| 3 | × | √ | × | 2.30 | 93.67 |
| 4 | × | × | √ | 2.87 | 94.40 |
| 5 | √ | √ | × | 2.58 | 95.03 |
| 6 | √ | × | √ | 3.62 | |
| 7 | √ | √ | √ | 2.96 | 97.41 |
Tab. 14 Ablation experimental results on diagnostic efficacy
| 实验序号 | 灰度谱图 | 辅助分类器 | 高频引导模块 | 训练时长/h | 准确率/% |
|---|---|---|---|---|---|
| 1 | × | × | × | 2.71 | 93.48 |
| 2 | × | √ | √ | 2.34 | 95.79 |
| 3 | × | √ | × | 2.30 | 93.67 |
| 4 | × | × | √ | 2.87 | 94.40 |
| 5 | √ | √ | × | 2.58 | 95.03 |
| 6 | √ | × | √ | 3.62 | |
| 7 | √ | √ | √ | 2.96 | 97.41 |
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