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CN116878885A - Bearing fault diagnosis method based on self-adaptive joint domain adaptive network - Google Patents

Bearing fault diagnosis method based on self-adaptive joint domain adaptive network Download PDF

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CN116878885A
CN116878885A CN202311127040.8A CN202311127040A CN116878885A CN 116878885 A CN116878885 A CN 116878885A CN 202311127040 A CN202311127040 A CN 202311127040A CN 116878885 A CN116878885 A CN 116878885A
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何俊
梁文生
陈丹凤
曾晨露
刘士亚
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Abstract

本发明公开了一种基于自适应联合域适应网络的轴承故障诊断方法,涉及故障诊断技术领域,所述方法包括获取无标签的目标域数据;将目标域数据输入预先训练好的轴承故障诊断训练模型进行检测诊断,以获得诊断评估数据;根据诊断评估数据确定故障类型;其中,轴承故障诊断训练模型包括特征提取器、标签分类器和域适应模块。本发明能同时缩小源域和目标域的边缘分布差异和条件分布差异,通过自适应加权因子来实时调节两种分布差异在训练过程中的关注度,无需人工经验来调节,约束特征提取器的训练走向,从而更好的拉近联合分布,实现无监督域适应任务。

The invention discloses a bearing fault diagnosis method based on an adaptive joint domain adaptation network and relates to the technical field of fault diagnosis. The method includes obtaining unlabeled target domain data; inputting the target domain data into pre-trained bearing fault diagnosis training The model performs detection and diagnosis to obtain diagnostic evaluation data; the fault type is determined based on the diagnostic evaluation data; among them, the bearing fault diagnosis training model includes a feature extractor, a label classifier and a domain adaptation module. This invention can simultaneously reduce the edge distribution difference and conditional distribution difference between the source domain and the target domain, and adjust the attention of the two distribution differences in the training process in real time through adaptive weighting factors without manual experience to adjust and constrain the feature extractor. training direction, so as to better narrow the joint distribution and achieve unsupervised domain adaptation tasks.

Description

一种基于自适应联合域适应网络的轴承故障诊断方法A bearing fault diagnosis method based on adaptive joint domain adaptation network

技术领域Technical Field

本发明涉及故障诊断技术领域,尤其涉及一种基于自适应联合域适应网络的轴承故障诊断方法。The present invention relates to the technical field of fault diagnosis, and in particular to a bearing fault diagnosis method based on an adaptive joint domain adaptation network.

背景技术Background Art

在轴承故障领域的无监督域适应问题中,拉近源域和目标域的边缘分布能够有效缩小域间距离,拉近条件分布能够有效缩小域内距离,而单独的拉近一种分布在某些复杂的情况难以实现较好的效果,通过拉近两个域的联合分布能够从不同层面同时拉近域间和域内距离,实现更好的域适应效果。目前大多数联合分布适应工作中面临着两个关键的问题:一方面在缩小条件分布差异时并没有合理的考虑目标域样本伪标签的可靠程度,错误的伪标签样本不断的累积将会影响训练过程的走向;另一面没有很好的考虑在不同域适应任务中边缘分布和条件分布各自的重要程度,而且依赖人工经验来设置两种分布之间的平衡系数具有很大的不确定性。In the unsupervised domain adaptation problem in the field of bearing faults, bringing the marginal distribution of the source domain and the target domain closer can effectively reduce the distance between domains, and bringing the conditional distribution closer can effectively reduce the distance within the domain. However, bringing only one distribution closer can hardly achieve good results in some complex situations. By bringing the joint distribution of the two domains closer, the distance between and within the domains can be simultaneously reduced from different levels, achieving better domain adaptation effects. At present, most joint distribution adaptation works face two key problems: on the one hand, when reducing the difference in conditional distribution, the reliability of the pseudo-labels of target domain samples is not reasonably considered, and the continuous accumulation of erroneous pseudo-label samples will affect the direction of the training process; on the other hand, the importance of marginal distribution and conditional distribution in different domain adaptation tasks is not well considered, and the balance coefficient between the two distributions is set by relying on manual experience, which has great uncertainty.

发明内容Summary of the invention

本发明所要解决的技术问题在于,提供一种基于自适应联合域适应网络的轴承故障诊断方法,无需要依赖人工经验去调节两种分布的平衡系数,能减轻目标域错误伪标签累积给训练走向带来的影响,拉近两个域的联合分布,约束特征提取器的训练走向,减少域间差异和域内差异,从而更好的实现无监督域适应任务。The technical problem to be solved by the present invention is to provide a bearing fault diagnosis method based on an adaptive joint domain adaptation network, which does not need to rely on manual experience to adjust the balance coefficient of the two distributions, can reduce the impact of the accumulation of erroneous pseudo-labels in the target domain on the training direction, bring the joint distribution of the two domains closer, constrain the training direction of the feature extractor, reduce inter-domain differences and intra-domain differences, and thus better realize the unsupervised domain adaptation task.

为了解决上述技术问题,本发明提供了一种基于自适应联合域适应网络的轴承故障诊断方法,包括:获取无标签的目标域数据;将目标域数据输入预先训练好的轴承故障诊断训练模型进行检测诊断,以获得诊断评估数据;根据诊断评估数据确定故障类型;其中,轴承故障诊断训练模型包括特征提取器、标签分类器和域适应模块;域适应模块包括:采用基于AJMMD自适应联合域适应差异度量源域和目标域之间的边缘分布差异和条件分布差异且自适应调整两者分布差异之间的重要程度;自适应调整两者分布差异之间的重要程度的步骤包括:通过所述边缘分布差异和条件分布差异计算自适应加权因子,采用自适应加权因子自适应调整两者分布差异之间的重要程度。In order to solve the above technical problems, the present invention provides a bearing fault diagnosis method based on an adaptive joint domain adaptation network, including: obtaining unlabeled target domain data; inputting the target domain data into a pre-trained bearing fault diagnosis training model for detection and diagnosis to obtain diagnostic evaluation data; determining the fault type according to the diagnostic evaluation data; wherein the bearing fault diagnosis training model includes a feature extractor, a label classifier and a domain adaptation module; the domain adaptation module includes: using an AJMMD-based adaptive joint domain adaptation difference to measure the marginal distribution difference and conditional distribution difference between the source domain and the target domain and adaptively adjusting the importance of the distribution difference between the two; the step of adaptively adjusting the importance of the distribution difference between the two includes: calculating an adaptive weighting factor through the marginal distribution difference and the conditional distribution difference, and using the adaptive weighting factor to adaptively adjust the importance of the distribution difference between the two.

作为上述方案的改进,轴承故障诊断训练模型的训练步骤包括:As an improvement of the above solution, the training steps of the bearing fault diagnosis training model include:

S1、获取ns个有标签的源域数据和nt个无标签的目标域数据;S2、将源域数据和目标域数据输入特征提取器进行特征提取,以获得源域特征数据和目标域特征数据;S3、将源域特征数据和目标域特征数据输入标签分类器进行标签分类,以获得目标域的预测伪标签;S4、将源域特征数据、目标域特征数据、目标域的预测伪标签和源域数据的真实标签输入域适应模块进行域适应损失计算,以获得域适应损失LAJMMD;S5、根据源域数据的真实标签和交叉熵损失函数计算分类损失LC;S6、根据分类损失LC和域适应损失LAJMMD反向传播梯度,以优化更新特征提取器的参数和标签分类器的参数;S7、当当前迭代计算次数大于等于预设迭代次数时,输出训练好的轴承故障诊断训练模型,否则返回步骤S2中继续训练。S1. Obtain n s labeled source domain data and n t unlabeled target domain data; S2. Input the source domain data and the target domain data into the feature extractor for feature extraction to obtain source domain feature data and target domain feature data; S3. Input the source domain feature data and the target domain feature data into the label classifier for label classification to obtain the predicted pseudo-label of the target domain; S4. Input the source domain feature data, the target domain feature data, the predicted pseudo-label of the target domain and the true label of the source domain data into the domain adaptation module for domain adaptation loss calculation to obtain the domain adaptation loss LAJMMD ; S5. Calculate the classification loss LC according to the true label of the source domain data and the cross entropy loss function; S6. Back-propagate the gradient according to the classification loss LC and the domain adaptation loss LAJMMD to optimize and update the parameters of the feature extractor and the parameters of the label classifier; S7. When the current number of iterative calculations is greater than or equal to the preset number of iterations, output the trained bearing fault diagnosis training model, otherwise return to step S2 to continue training.

作为上述方案的改进,特征提取器为一维残差特征提取器,其包括四个Block块,第一个Block块包括一个卷积层,卷积层采用一维卷积核,其余的Block块均包括两个Bottleneck块;标签分类器包括一个全连接输出层。As an improvement of the above scheme, the feature extractor is a one-dimensional residual feature extractor, which includes four Block blocks. The first Block block includes a convolution layer, the convolution layer adopts a one-dimensional convolution kernel, and the remaining Block blocks include two Bottleneck blocks; the label classifier includes a fully connected output layer.

作为上述方案的改进,根据分类损失LC和域适应损失LAJMMD反向传播梯度,以优化更新特征提取器的参数和标签分类器的参数的步骤包括:根据分类损失LC、域适应损失LAJMMD和总体域适应因子构建总体损失函数并计算总体损失L;根据梯度下降算法和总体损失L进行模型参数优化计算,以优化更新特征提取器的参数和标签分类器的参数。As an improvement of the above scheme, the step of back-propagating gradients according to the classification loss LC and the domain adaptation loss LAJMMD to optimize and update the parameters of the feature extractor and the parameters of the label classifier includes: constructing an overall loss function according to the classification loss LC , the domain adaptation loss LAJMMD and the overall domain adaptation factor and calculating the overall loss L; performing model parameter optimization calculation according to the gradient descent algorithm and the overall loss L to optimize and update the parameters of the feature extractor and the parameters of the label classifier.

作为上述方案的改进,通过域适应模块中的AJMMD自适应联合域适应损失函数计算域适应损失LAJMMD,其函数计算公式为:As an improvement of the above scheme, the domain adaptation loss LAJMMD is calculated by the AJMMD adaptive joint domain adaptation loss function in the domain adaptation module, and its function calculation formula is:

其中,LAJMMD表示为域适应损失,LMMD表示为边缘分布损失,LLMMD表示为条件分布损失,w表示为训练中每个batch数据的自适应加权因子,,MMD(·)为最大均值差异损失函数,LMMD(·)为局部最大均值差异损失函数,F(xs)表示为源域特征数据,F(xt)表示为目标域特征数据,ys表示为源域数据的真实标签,表示为目标域的预测伪标签。Among them, LAJMMD represents the domain adaptation loss, LMMD represents the marginal distribution loss, LMMD represents the conditional distribution loss, and w represents the adaptive weighting factor of each batch data in training. , MMD (·) is the maximum mean difference loss function, LMMD (·) is the local maximum mean difference loss function, F(x s ) represents the source domain feature data, F(x t ) represents the target domain feature data, y s represents the true label of the source domain data, Denoted as the predicted pseudo-label of the target domain.

作为上述方案的改进,交叉熵损失函数的计算公式为:As an improvement of the above scheme, the calculation formula of the cross entropy loss function is:

其中,表示为分类损失,表示为标签分类器的预测结果,ys表示为源域数据的真实类别标签,表示源域第i个样本的真实标签,M代表源域故障类型总数,I(·)是标志函数,m表示为当前故障类别,ai,m代表第个样本属于m类别的预测概率。in, Denoted as classification loss, is represented as the prediction result of the label classifier, y s is represented as the true category label of the source domain data, represents the true label of the i-th sample in the source domain, M represents the total number of fault types in the source domain, I(·) is the marker function, m represents the current fault category, and a i,m represents the The predicted probability that a sample belongs to m categories.

作为上述方案的改进,总体损失函数的计算公式为:As an improvement of the above scheme, the calculation formula of the overall loss function is:

其中,表示为总体损失,表示为特征提取器的理想参数,标签分类器的理想参数,表示为特征提取器的待优化参数,表示为标签分类器的待优化参数,是总体域适应因子。in, Expressed as the overall loss, Denote as the ideal parameters of the feature extractor, The ideal parameters for the label classifier, Represented as the parameter to be optimized for the feature extractor, Represented as the parameter to be optimized for the label classifier, is the overall domain adaptation factor.

作为上述方案的改进,一维卷积核为32x1的卷积核。As an improvement of the above solution, the one-dimensional convolution kernel is a 32x1 convolution kernel.

本发明还提供了一种计算机设备,包括处理器以及存储器,存储器用于存储计算机可执行程序,处理器从存储器中读取部分或全部计算机可执行程序并执行,处理器执行部分或全部计算可执行程序时能实现上述的轴承故障诊断方法。The present invention also provides a computer device, including a processor and a memory, the memory is used to store a computer executable program, the processor reads part or all of the computer executable program from the memory and executes it, and when the processor executes part or all of the computer executable program, the above-mentioned bearing fault diagnosis method can be implemented.

本发明还提供了一种计算机可读存储介质,计算机可读存储介质中存储有计算机程序,计算机程序被处理器执行时,能实现上述的轴承故障诊断方法。The present invention also provides a computer-readable storage medium, in which a computer program is stored. When the computer program is executed by a processor, the above-mentioned bearing fault diagnosis method can be implemented.

实施本发明,具有如下有益效果:The implementation of the present invention has the following beneficial effects:

本发明基于自适应联合域适应网络的轴承故障诊断方法、计算机设备和计算可读存储介质,通过AJMMD自适应联合域适应差异能度量源域和目标域之间的边缘分布差异和条件分布差异且能自适应调整两者分布差异之间的重要程度,无需要依赖人工经验去调节两种分布的平衡系数,能减轻目标域错误伪标签累积给训练走向带来的影响,拉近两个域的联合分布,约束特征提取器的训练走向,减少域间差异和域内差异,从而更好的实现无监督域适应任务。通过梯度下降法和总体损失函数进行模型参数优化更新处理,以输出训练好模型参数的轴承故障诊断训练模型。The present invention is based on the bearing fault diagnosis method, computer equipment and computer readable storage medium of the adaptive joint domain adaptation network. The marginal distribution difference and conditional distribution difference between the source domain and the target domain can be measured through the adaptive joint domain adaptation difference of AJMMD, and the importance of the distribution difference between the two can be adaptively adjusted. There is no need to rely on artificial experience to adjust the balance coefficient of the two distributions, and the influence of the accumulation of erroneous pseudo-labels in the target domain on the training trend can be reduced, the joint distribution of the two domains is brought closer, the training trend of the constraint feature extractor is reduced, and the inter-domain difference and the intra-domain difference are reduced, so as to better realize the unsupervised domain adaptation task. The model parameter optimization and update processing is carried out through the gradient descent method and the overall loss function to output the bearing fault diagnosis training model with the trained model parameters.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1是本发明基于自适应联合域适应网络的轴承故障诊断方法的流程图;FIG1 is a flow chart of a bearing fault diagnosis method based on an adaptive joint domain adaptation network according to the present invention;

图2是本发明所述轴承故障诊断训练模型的训练流程图;FIG2 is a training flow chart of the bearing fault diagnosis training model of the present invention;

图3是本发明不同宽度卷积核的准确率数据示意图;FIG3 is a schematic diagram of accuracy data of convolution kernels of different widths of the present invention;

图4是本发明与其他加权方式的数据示意图;FIG4 is a schematic diagram of data of the present invention and other weighting methods;

图5是基于西储大学数据集下,本发明方法与其他模型方法进行迁移任务的数据示意图;FIG5 is a data schematic diagram of a migration task performed by the method of the present invention and other model methods based on a data set from Western Reserve University;

图6是基于江南大学数据集下,本发明与其他模型方法进行迁移任务的数据示意图。FIG6 is a data schematic diagram of the migration task performed by the present invention and other model methods based on the Jiangnan University dataset.

具体实施方式DETAILED DESCRIPTION

为使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明作进一步地详细描述。仅此声明,本发明在文中出现或即将出现的上、下、左、右、前、后、内、外等方位用词,仅以本发明的附图为基准,其并不是对本发明的具体限定。In order to make the purpose, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings. It is hereby stated that the directional terms such as up, down, left, right, front, back, inside, outside, etc. that appear or will appear in the text of the present invention are only based on the accompanying drawings of the present invention, and are not specific limitations of the present invention.

如图1所示,本发明具体实施例提供了一种基于自适应联合域适应网络的轴承故障诊断方法,包括:As shown in FIG1 , a specific embodiment of the present invention provides a bearing fault diagnosis method based on an adaptive joint domain adaptation network, comprising:

S1、获取无标签的目标域数据;S1, obtain unlabeled target domain data;

S2、将目标域数据输入预先训练好的轴承故障诊断训练模型进行检测诊断,以获得诊断评估数据;S2, inputting the target domain data into a pre-trained bearing fault diagnosis training model for detection and diagnosis to obtain diagnostic evaluation data;

S3、根据诊断评估数据确定故障类型;S3, determining the fault type based on the diagnostic evaluation data;

需要说明的是,轴承故障诊断训练模型包括特征提取器、标签分类器、域适应模块。其中,域适应模块包括:采用基于AJMMD自适应联合域适应差异度量源域和目标域之间的边缘分布差异和条件分布差异且自适应调整两者分布差异之间的重要程度;自适应调整两者分布差异之间的重要程度的步骤包括:通过所述边缘分布差异和条件分布差异计算自适应加权因子,采用自适应加权因子自适应调整两者分布差异之间的重要程度。通过该方式能无需要依赖人工经验去调节两种分布的平衡系数,能减轻目标域错误伪标签累积给训练走向带来的影响,拉近两个域的联合分布,约束特征提取器的训练走向,减少域间差异和域内差异,从而更好的实现无监督域适应任务。It should be noted that the bearing fault diagnosis training model includes a feature extractor, a label classifier, and a domain adaptation module. Among them, the domain adaptation module includes: using the AJMMD adaptive joint domain adaptation difference to measure the marginal distribution difference and conditional distribution difference between the source domain and the target domain and adaptively adjusting the importance of the distribution difference between the two; the step of adaptively adjusting the importance of the distribution difference between the two includes: calculating the adaptive weighting factor through the marginal distribution difference and the conditional distribution difference, and using the adaptive weighting factor to adaptively adjust the importance of the distribution difference between the two. In this way, there is no need to rely on manual experience to adjust the balance coefficient of the two distributions, which can reduce the impact of the accumulation of erroneous pseudo-labels in the target domain on the training direction, close the joint distribution of the two domains, constrain the training direction of the feature extractor, reduce the difference between domains and the difference within the domain, so as to better realize the unsupervised domain adaptation task.

在轴承故障诊断时,获取无标签的目标域数据作为测试样本数据,将测试样本数据输入该轴承故障诊断训练模型中进行检测诊断,能获得对应的轴承故障类别的诊断评估数据,通过该诊断评估数据可快速准确地确定轴承故障类型,满足用户的需求。其中,AJMMD为自定义词,其表示为自适应联合域适应差异。In the case of bearing fault diagnosis, unlabeled target domain data is obtained as test sample data, and the test sample data is input into the bearing fault diagnosis training model for detection and diagnosis, so that the corresponding bearing fault category diagnostic evaluation data can be obtained. Through the diagnostic evaluation data, the bearing fault type can be quickly and accurately determined to meet the needs of users. Among them, AJMMD is a custom word, which stands for Adaptive Joint Domain Adaptive Difference.

如图2所示,轴承故障诊断训练模型的训练步骤包括:As shown in Figure 2, the training steps of the bearing fault diagnosis training model include:

S10、获取ns个有标签的源域数据和nt个无标签的目标域数据;S10, obtaining n s labeled source domain data and n t unlabeled target domain data;

需要说明的是,针对电机轴承的故障诊断中,轴承源振动数据包括无标签的目标数据和有标签的源域数据。It should be noted that, in the fault diagnosis of motor bearings, the bearing source vibration data includes unlabeled target data and labeled source domain data.

获取ns个有标签的源域数据和nt个无标签的目标域数据。其中,为源域数据中的第i个样本数据,为源域数据中的第i个样本数据所对应的标签数据,为目标域数据中的第i个样本数据。它们有相同的特征空间,相同的类别空间,但是它们的边缘分布和条件分布都不相同。Get n s labeled source domain data and n t unlabeled target domain data .in, is the i-th sample data in the source domain data, is the label data corresponding to the i-th sample data in the source domain data, is the i-th sample data in the target domain data. They have the same feature space and the same category space, but their marginal distribution and conditional distribution are different.

S20、将源域数据和目标域数据输入特征提取器进行特征提取,以获得源域特征数据和目标域特征数据;S20, inputting the source domain data and the target domain data into a feature extractor for feature extraction to obtain source domain feature data and target domain feature data;

S30、将源域特征数据和目标域特征数据输入标签分类器进行标签分类,以获得目标域的预测伪标签;S30, inputting the source domain feature data and the target domain feature data into a label classifier for label classification to obtain a predicted pseudo label of the target domain;

具体地,特征提取器为一维残差特征提取器,其包括四个Block块,第一个Block块包括一个卷积层,卷积层采用一维卷积核,其余的Block块均包括两个Bottleneck块,Bottleneck块用来实现残差连接。标签分类器包括一个全连接输出层,用于对从特征提取器中提取的特征进行分类并输出目标域的预测伪标签。全连接输出层之前还设有一层全局平均池化层。通过上述结构层构建一维残差网络模型(1D-ResNet)。该模型的主要结构参数如下表1所示:Specifically, the feature extractor is a one-dimensional residual feature extractor, which includes four Block blocks. The first Block block includes a convolution layer, which uses a one-dimensional convolution kernel. The remaining Block blocks include two Bottleneck blocks, which are used to implement residual connections. The label classifier includes a fully connected output layer, which is used to classify the features extracted from the feature extractor and output the predicted pseudo-labels of the target domain. A global average pooling layer is also provided before the fully connected output layer. A one-dimensional residual network model (1D-ResNet) is constructed through the above structural layers. The main structural parameters of the model are shown in Table 1 below:

表1 模型主要结构参数Table 1 Main structural parameters of the model

由表1所示,本特征提取器的第一个Block块的卷积层使用大小为32x1的卷积核,其余Block块均使用了2个Bottleneck块,这样可以有效减少模型的参数数量和训练时间,同时提取振动信号的深层特征。其中,Bottleneck1代表常规残差块,Bottleneck2代表降采样的残差块,C代表Conv1d,B代表BatchNorm1d批量归一化,A代表激活,均使用Relu激活函数,P代表Maxpool1d,S代表ShortCut残差连接部分。本特征提取器通过使用32x1的卷积核,以增大第一层的卷积核宽度,使得能感受野增大,能考虑到更多的数据信息,降低噪声数据的影响,使得训练过程更加稳定。As shown in Table 1, the convolution layer of the first Block of this feature extractor uses a convolution kernel of size 32x1, and the remaining Blocks all use 2 Bottleneck blocks, which can effectively reduce the number of parameters and training time of the model, while extracting deep features of the vibration signal. Among them, Bottleneck1 represents a regular residual block, Bottleneck2 represents a downsampled residual block, C represents Conv1d, B represents BatchNorm1d batch normalization, A represents activation, and all use Relu activation function, P represents Maxpool1d, and S represents ShortCut residual connection part. This feature extractor uses a 32x1 convolution kernel to increase the width of the convolution kernel of the first layer, so that the receptive field is increased, more data information can be considered, the influence of noise data is reduced, and the training process is more stable.

S40、将源域特征数据、目标域特征数据、目标域的预测伪标签和源域数据的真实标签输入域适应模块进行域适应损失计算,以获得域适应损失LAJMMDS40, inputting the source domain feature data, the target domain feature data, the predicted pseudo-label of the target domain, and the real label of the source domain data into the domain adaptation module to calculate the domain adaptation loss, so as to obtain the domain adaptation loss LAJMMD ;

需要说明的是,本发明将AJMMD自适应联合域适应部分嵌入在全局平均池化层的后面,其采用最大均值差异MMD来计算边缘分布差异,通过局部最大均值差异LMMD损失来衡量两个域之间的条件分布损失,通过自适应加权因子来实时调节训练过程中边缘分布差异和条件分布差异的重要性,条件分布差异和边缘分布差异通过加权结合使其近似于联合分布差异。It should be noted that the present invention embeds the AJMMD adaptive joint domain adaptation part behind the global average pooling layer, which uses the maximum mean difference MMD to calculate the marginal distribution difference, and measures the conditional distribution loss between the two domains by the local maximum mean difference LMMD loss. The importance of the marginal distribution difference and the conditional distribution difference in the training process is adjusted in real time by the adaptive weighting factor, and the conditional distribution difference and the marginal distribution difference are weightedly combined to make them approximate to the joint distribution difference.

MMD是域适应中使用最广泛的边缘分布差异度量方法之一,是一种核方法,它将数据点从输入空间映射到希尔伯特特征空间,比较源域和目标域在特征空间之间的均值差异。MMD is one of the most widely used marginal distribution difference metrics in domain adaptation. It is a kernel method that maps data points from the input space to the Hilbert feature space and compares the mean difference between the source and target domains in the feature space.

LMMD(局部最大均值差异)是一种条件分布适应的方法,基于现有的CMMD改进而来,不仅利用了样本的特征,而且利用了样本的标签信息来对样本进行加权,通过获取目标域的伪标签来实现条件分布对齐。与CMMD不同的一点是LMMD不是取绝对的权重,而是采用模型在目标域样本数据上述输出的类别概率作为加权矩阵,减轻了目标域错误伪标签累积给训练走向带来的影响。LMMD (Local Maximum Mean Difference) is a conditional distribution adaptation method based on the existing CMMD. It not only uses the characteristics of the samples, but also uses the label information of the samples to weight the samples, and achieves conditional distribution alignment by obtaining pseudo labels in the target domain. One difference from CMMD is that LMMD does not take absolute weights, but uses the category probabilities of the model's output in the target domain sample data as the weighting matrix, which reduces the impact of the accumulation of incorrect pseudo labels in the target domain on the training direction.

将特征提取器提取到的源域特征F(xt)和目标域特征F(xt)送入AJMMD域适应空间部分,将源域数据的真实标签ys以及目标域的预测伪标签作为输入参数,通过域适应模块中的AJMMD自适应联合域适应损失函数计算域适应损失LAJMMD,其函数计算公式为:The source domain features F(x t ) and target domain features F(x t ) extracted by the feature extractor are sent to the domain adaptation space of AJMMD, and the true label y s of the source domain data and the predicted pseudo label of the target domain are converted into As an input parameter, the domain adaptation loss L AJMMD is calculated through the AJMMD adaptive joint domain adaptation loss function in the domain adaptation module. The function calculation formula is:

其中,LAJMMD表示为域适应损失,LMMD表示为边缘分布损失,LLMMD表示为条件分布损失,w表示为训练中每个batch数据的自适应加权因子;MMD(·)为最大均值差异损失函数,LMMD(·)为局部最大均值差异损失函数,F(xs)表示为源域特征数据,F(xt)表示为目标域特征数据,ys表示为源域数据的真实标签,表示为目标域的预测伪标签,H表示希尔伯特空间,Φ(·)为映射函数,Ds为源域数据,Dt为目标域数据。Among them, LAJMMD represents domain adaptation loss, LMMD represents marginal distribution loss, LMMD represents conditional distribution loss, w represents the adaptive weighting factor of each batch data in training; MMD (·) is the maximum mean difference loss function, LMMD (·) is the local maximum mean difference loss function, F( xs ) represents the source domain feature data, F( xt ) represents the target domain feature data, ys represents the true label of the source domain data, Denotes the predicted pseudo-label of the target domain, H represents the Hilbert space, Φ(·) is the mapping function, Ds is the source domain data, and Dt is the target domain data.

其中w是训练中每个batch数据的自适应加权因子,其计算公式为: Where w is the adaptive weighting factor for each batch of data in training, and its calculation formula is:

其中,为以e为底,LMMD为指数的指数函数,为以e为底,LLMMD为指数的指数函数。当边缘分布差异更大时,说明此时域整体分布差异大,此时w将会自适应的增大,以使得边缘分布在优化过程中得到相对更多的关注,反之则减少。w使得在训练过程中能根据实际情况自适应的调整两种分布重要程度。in, is an exponential function with e as base and L MMD as exponent, is an exponential function with e as the base and LLMMD as the exponent. When the difference in marginal distribution is greater, it means that the overall distribution difference in the domain is large. At this time, w will increase adaptively so that the marginal distribution gets relatively more attention during the optimization process, otherwise it will decrease. w allows the importance of the two distributions to be adaptively adjusted according to the actual situation during the training process.

通过AJMMD自适应联合域适应部分无需要依赖人工经验去调节两种分布的平衡系数,能减轻目标域错误伪标签累积给训练走向带来的影响,拉近两个域的联合分布,约束特征提取器的训练走向,减少域间差异和域内差异,从而更好的实现无监督域适应任务。The adaptive joint domain adaptation part of AJMMD does not need to rely on manual experience to adjust the balance coefficient of the two distributions. It can reduce the impact of the accumulation of erroneous pseudo-labels in the target domain on the training direction, bring the joint distribution of the two domains closer, constrain the training direction of the feature extractor, reduce the differences between and within domains, and thus better realize the unsupervised domain adaptation task.

具体地,最大均值差异损失函数MMD(·)的展开计算公式为:Specifically, the expanded calculation formula of the maximum mean difference loss function MMD(·) is:

其中,H表示希尔伯特空间,通过映射函数Φ(·)映射源域和目标域的特征到空间进行差异度量,表示源域特征和目标域样本特征之间核函数内积。Among them, H represents the Hilbert space, and the features of the source domain and the target domain are mapped to the space through the mapping function Φ (·) for difference measurement. Represents the inner product of the kernel function between the source domain features and the target domain sample features.

局部最大均值差异损失函数LMMD(·)的展开计算公式为The expanded calculation formula of the local maximum mean difference loss function LMMD (·) is

其中,M是类别空间的总类别数,在故障诊断中M优选为10个故障类别,但不以此为限制。分别表示源域和目标域样本属于类别m的权重,用于计算m类别的加权和,用来平衡在小批量随机梯度下降法中在每个batch类别可能不平衡的情况,对于样本xi权值的计算如下:Wherein, M is the total number of categories in the category space. In fault diagnosis, M is preferably 10 fault categories, but is not limited thereto. and Respectively represent the weights of source domain and target domain samples belonging to category m, Used to calculate the weighted sum of m categories to balance the possible imbalance in each batch category in the mini-batch stochastic gradient descent method. For the sample xi weight The calculation of is as follows:

yim是第i个样本标签向量,D代表源域或者目标域。在域适应中,整个LMMD模块需要输入4个参数:源域特征数据、目标域特征数据、源域数据的真实标签,目标域的输出概率分布(即目标域的预测伪标签)。 yim is the i-th sample label vector, and D represents the source domain or the target domain. In domain adaptation, the entire LMMD module needs to input 4 parameters: source domain feature data, target domain feature data, the true label of the source domain data, and the output probability distribution of the target domain (i.e., the predicted pseudo label of the target domain).

S50、根据源域数据的真实标签和交叉熵损失函数计算分类损失LCS50, calculating the classification loss LC according to the real label of the source domain data and the cross entropy loss function;

需要说明的是,在标签分类器输出后,使用Softmax函数来输出相应类别的概率分布,最大概率对应的指数被作为预测的标签。采用交叉叉熵损失函数作为分类损失函数,其计算公式为:It should be noted that after the label classifier outputs, the Softmax function is used to output the probability distribution of the corresponding category, and the index corresponding to the maximum probability is used as the predicted label. The cross entropy loss function is used as the classification loss function, and its calculation formula is:

其中,表示为分类损失,表示为标签分类器的预测结果,ys表示为源域数据的真实类别标签,表示源域第i个样本的真实标签,M代表源域故障类型总数,m表示为当前故障类别,ai,m代表第个样本属于m类别的预测概率,I(·)是标志函数,如果,则I=1,否则为I=0。in, Denoted as classification loss, is represented as the prediction result of the label classifier, y s is represented as the true category label of the source domain data, represents the true label of the i-th sample in the source domain, M represents the total number of fault types in the source domain, m represents the current fault category, and a i,m represents the The predicted probability that a sample belongs to m categories, I(·) is the label function, if , then I=1, otherwise I=0.

S60、根据分类损失LC和域适应损失LAJMMD反向传播梯度,以优化更新特征提取器的参数和标签分类器的参数;S60, back-propagating the gradient according to the classification loss LC and the domain adaptation loss LAJMMD to optimize and update the parameters of the feature extractor and the parameters of the label classifier;

具体地,根据分类损失LC和域适应损失LAJMMD反向传播梯度,以优化更新特征提取器的参数和标签分类器的参数的步骤包括:Specifically, the steps of back-propagating gradients according to the classification loss LC and the domain adaptation loss LAJMMD to optimize and update the parameters of the feature extractor and the parameters of the label classifier include:

步骤一、根据所述分类损失LC、域适应损失LAJMMD和总体域适应因子构建总体损失函数并计算总体损失L;具体地,总体损失函数的计算公式为:Step 1: construct an overall loss function according to the classification loss LC , the domain adaptation loss LAJMMD and the overall domain adaptation factor and calculate the overall loss L; specifically, the calculation formula of the overall loss function is:

其中,表示为总体损失,表示为特征提取器的理想参数,标签分类器的理想参数,表示为特征提取器的待优化参数,表示为标签分类器的待优化参数,是总体域适应因子。in, Expressed as the overall loss, Denote as the ideal parameters of the feature extractor, The ideal parameters for the label classifier, Represented as the parameter to be optimized for the feature extractor, Represented as the parameter to be optimized for the label classifier, is the overall domain adaptation factor.

步骤二、根据梯度下降算法和总体损失L进行模型参数优化计算,以优化更新特征提取器的参数和标签分类器的参数。Step 2: Perform model parameter optimization calculation based on the gradient descent algorithm and the overall loss L to optimize and update the parameters of the feature extractor and the parameters of the label classifier.

基于当前总体损失和特征提取器的待优化参数,根据梯度下降算法更新对应的特征提取器的参数;相应地,通过上述原理也可更新标签分类器的参数,从而反向更新模型的参数。Based on the current overall loss and the parameters to be optimized of the feature extractor, the parameters of the corresponding feature extractor are updated according to the gradient descent algorithm; accordingly, the parameters of the label classifier can also be updated according to the above principle, thereby updating the parameters of the model in reverse.

S70、当当前迭代计算次数大于等于预设迭代次数时,输出训练好的轴承故障诊断训练模型,否则返回步骤S20中继续训练。S70. When the current iterative calculation number is greater than or equal to the preset iterative number, output the trained bearing fault diagnosis training model; otherwise, return to step S20 to continue training.

需要说明的是,当迭代计算次数大于等于预设迭代次数时,输出训练好的轴承故障诊断训练模型,否则将当前更新后的特征提取器的参数和标签分类器的参数输入步骤S20中继续训练,直到满足预设迭代次数,以获得以输出训练好模型参数的轴承故障诊断训练模型。其中,预设迭代次数可根据实际情况进行设置,在此不作具体限制。It should be noted that when the number of iterative calculations is greater than or equal to the preset number of iterations, the trained bearing fault diagnosis training model is output, otherwise the parameters of the currently updated feature extractor and the parameters of the label classifier are input into step S20 to continue training until the preset number of iterations is met, so as to obtain a bearing fault diagnosis training model with output trained model parameters. The preset number of iterations can be set according to actual conditions and is not specifically limited here.

为了验证本发明方法的有效性、可行性及优越性。下面以具体实施例对本发明方法进行陈述验证。In order to verify the effectiveness, feasibility and superiority of the method of the present invention, the method of the present invention is described and verified by specific examples below.

实施例1Example 1

本实施例的数据集采用西储大学数据集(CWRU)为例。本数据集采用12Khz的原始驱动端振动信号,对四种不同的负载转速下(1730 rpm、1750rpm、1772rpm、1797rpm)的振动信号进行采集,并将其视为四种不同工况的数据集(A、B、C和D数据集)。故障类型是由电火花加工技术进行单点处理操作而成,总共有四种状态,分为正常数据(N)、球故障(BF)、内圈故障(IF)、外圈故障(OF)。每种故障类型都有不同大小的故障直径(0.007英寸、0.014英寸、0.021英寸),每个工况总共可以划分成10个类别,其中,1组正常数据和9组故障数据。每个故障类别采集窗口大小784个数据点,采用滑动重叠采样的方法维护连续样本之间的关联性,滑动步长80,每个故障类别采样150个样本,总共10*150为1500个样本。数据集的具体信息如下表2所示:The data set of this embodiment uses the Western Reserve University data set (CWRU) as an example. This data set uses the original drive end vibration signal of 12Khz to collect vibration signals at four different load speeds (1730 rpm, 1750rpm, 1772rpm, 1797rpm), and regards them as data sets of four different working conditions (A, B, C and D data sets). The fault type is a single-point processing operation of the electrospark machining technology. There are four states in total, which are divided into normal data (N), ball fault (BF), inner ring fault (IF), and outer ring fault (OF). Each fault type has a fault diameter of different sizes (0.007 inches, 0.014 inches, 0.021 inches), and each working condition can be divided into 10 categories in total, including 1 group of normal data and 9 groups of fault data. The acquisition window size of each fault category is 784 data points, and the sliding overlapping sampling method is used to maintain the correlation between continuous samples. The sliding step size is 80, and 150 samples are sampled for each fault category, with a total of 10*150, which is 1500 samples. The specific information of the data set is shown in Table 2 below:

表2 CWRU变工况条件下四个数据集的信息Table 2 Information of four data sets under CWRU variable operating conditions

通过采用差异较大的两个工况(D→A)数据集来进行验证1D-ResNet第一个卷积层的卷积核宽度对训练过程的影响。优化器采用小批量SGD ,学习率0.01,第一个卷积层的卷积核大小从{7,14,32,64,96}选取,不同宽度卷积核的准确率如图3所示。The influence of the width of the convolution kernel of the first convolution layer of 1D-ResNet on the training process is verified by using two different working condition (D→A) data sets. The optimizer uses small batch SGD, the learning rate is 0.01, and the convolution kernel size of the first convolution layer is selected from {7, 14, 32, 64, 96}. The accuracy of convolution kernels with different widths is shown in Figure 3.

由图3可知,当卷积核宽度设置为7时,获取的有效特征相对较少,训练过程比较不稳定,同时其最高准确率收敛在97.40%;当卷积核增大到14时,由于感受野和模型参数的上升,能够考虑到更多的关键信息,准确率大幅度提升,在42个epoch第一次达到100%,经过小幅度震荡后在80个epoch基本稳定收敛在100%;卷积核设置成32时,其在第36个epoch第一次达到了100%,并且之后就很稳定了收敛在这个最佳的状态;而随着卷积核继续增大到64,在第100个epoch之前都限制在98%和99%之间小幅度震荡,在第120个epoch后才达到100%基本收敛,而继续增大卷积核到96时,准确率下降到了98.47%。因此发明采用32X2的卷积核能使模型训练的稳定性、收敛速度、准确率都更优于其他卷积核的宽带并都能达到一个好的平衡状态。As shown in Figure 3, when the convolution kernel width is set to 7, relatively few effective features are obtained, the training process is relatively unstable, and its highest accuracy converges to 97.40%; when the convolution kernel is increased to 14, due to the increase in the receptive field and model parameters, more key information can be taken into account, and the accuracy is greatly improved, reaching 100% for the first time in 42 epochs, and after a small oscillation, it basically converges to 100% in 80 epochs; when the convolution kernel is set to 32, it reaches 100% for the first time in the 36th epoch, and then it converges to this optimal state very stably; and as the convolution kernel continues to increase to 64, it is limited to a small oscillation between 98% and 99% before the 100th epoch, and it reaches 100% basically after the 120th epoch. When the convolution kernel is further increased to 96, the accuracy drops to 98.47%. Therefore, the invention adopts a 32X2 convolution kernel to make the stability, convergence speed, and accuracy of model training better than the bandwidth of other convolution kernels and achieve a good balance.

如图4所示,图4显示了常用的条件分布和边缘分布的系数,其系数组合从{[0.2,0.2],[0.5,0.5],[0.8,0.8],[0.1,0.9],[0.3,0.7],[0.7,0.3],[0.9,0.1]}选取,每个元素的第一个索引对应的值是LMMD的重要度权值,第二个索引对应的是MMD的重要度权值。As shown in Figure 4, Figure 4 shows the coefficients of commonly used conditional distribution and marginal distribution, and its coefficient combination is selected from {[0.2, 0.2], [0.5, 0.5], [0.8, 0.8], [0.1, 0.9], [0.3, 0.7], [0.7, 0.3], [0.9, 0.1]}. The value corresponding to the first index of each element is the importance weight of LMMD, and the second index corresponds to the importance weight of MMD.

当组合系数设置为[0.2,0.2],[0.5,0.5],[0.8,0.8]时,相当于将条件分布和边缘分布置于相同的重要程度,尤其当设置为[0.2,0.2]时,模型的分类性能达不到80%的准确率,组合系数[0.5,0.5]可以看作边缘分布的一个特例,在边缘分布系数组合[0.1,0.9]中,模型的分类性能同样比较差,而采用本发明的方法可实现自适应加权分配,其准确率及稳定性高。因此,通过人工经验来设置平衡系数具有非常大的不确定性,不能根据实际情况来自适应的调整两种分布的权重,而且在模型的决策能力上也往往达不到本发明的自适应加权方法的效果。When the combination coefficient is set to [0.2, 0.2], [0.5, 0.5], [0.8, 0.8], it is equivalent to placing the conditional distribution and the marginal distribution at the same level of importance. Especially when it is set to [0.2, 0.2], the classification performance of the model does not reach 80% accuracy. The combination coefficient [0.5, 0.5] can be regarded as a special case of the marginal distribution. In the marginal distribution coefficient combination [0.1, 0.9], the classification performance of the model is also relatively poor. The method of the present invention can realize adaptive weighted allocation, which has high accuracy and stability. Therefore, setting the balance coefficient through artificial experience has very large uncertainty, and the weights of the two distributions cannot be adjusted adaptively according to the actual situation. Moreover, the decision-making ability of the model often cannot achieve the effect of the adaptive weighting method of the present invention.

进一步地,采用本发明方法与其他模型方法进行相同的迁移任务以验证本发明方法的有效性。其中,在ABCD 4个不同工况之间进行相互迁移,共计12个迁移任务。模型参数组合设置成总体域适应因子固定为1.2,优化器采用小批量SGD,学习率为0.01,Batchsize为128,总共迭代次数150epoch。Furthermore, the method of the present invention and other model methods are used to perform the same migration task to verify the effectiveness of the method of the present invention. Among them, mutual migration is performed between 4 different working conditions ABCD, with a total of 12 migration tasks. The model parameter combination is set so that the overall domain adaptation factor is fixed to 1.2, the optimizer uses small batch SGD, the learning rate is 0.01, the batch size is 128, and the total number of iterations is 150 epochs.

本发明方法与其他模型方法均进行上述迁移任务的准确率信息如图5所示。由图5可知,本发明工作模型的主干网络1D-ResNet在12个迁移任务上的平均准确率达到了90.75%,两个工况在源域和目标域相差不大的情况下甚至能达到98.62%,说明采用改进的残差网络能够提取到相同故障类别的一些关键特征,然而当差异增大时,无域适应的模型性能会大幅度下降;而其他带域适应的方法在12个迁移任务上的平均准确率总体而言要高于无域适应的方法。其中,CMMD方法由于未考虑伪标签的置信度,其分类准确率相较于边缘分布网络的DDC和D-CORAL并无突出的效果;DSAN在每个迁移任务上都有比较稳定的分类能力,其平均准确率达到了98.61%,使得1D-ResNet+LMMD组合甚至高于联合分布方法的JAN和BDA,说明考虑伪标签的可靠程度非常关键;而联合分布网络方法JAN和BDA从总体而言要优于除DSAN外的边缘分布网络和条件分布网络;带自适应加权因子的SC-1DCNN要高于人工设置参数的JAN和BDA,总体迁移效果接近本发明;采用本发明的方法在西储大学数据集所有迁移任务上均取得了超过99%的准确率并且非常稳定,在12个迁移任务上的平均准确率达到了99.90%,高于DSAN、BDA和SC-1DCNN的98.61%、98.46%、99.76%。因此,采用本发明的方法进行迁移任务的准确率及稳定性最高。The accuracy information of the above migration tasks performed by the method of the present invention and other model methods is shown in Figure 5. As can be seen from Figure 5, the average accuracy of the backbone network 1D-ResNet of the working model of the present invention on 12 migration tasks reached 90.75%, and even reached 98.62% when the source domain and the target domain were not much different in the two working conditions, indicating that the use of the improved residual network can extract some key features of the same fault category. However, when the difference increases, the performance of the model without domain adaptation will drop significantly; and the average accuracy of other methods with domain adaptation on 12 migration tasks is generally higher than that of the method without domain adaptation. Among them, the CMMD method does not consider the confidence of pseudo labels, so its classification accuracy is not outstanding compared with DDC and D-CORAL of edge distribution network; DSAN has a relatively stable classification ability in each migration task, and its average accuracy reaches 98.61%, making the 1D-ResNet+LMMD combination even higher than JAN and BDA of joint distribution method, indicating that the reliability of considering pseudo labels is very critical; and the joint distribution network method JAN and BDA are generally better than the edge distribution network and conditional distribution network except DSAN; SC-1DCNN with adaptive weighting factor is higher than JAN and BDA with manually set parameters, and the overall migration effect is close to the present invention; the method of the present invention has achieved an accuracy of more than 99% in all migration tasks of the Western Reserve University data set and is very stable, and the average accuracy of 12 migration tasks has reached 99.90%, which is higher than 98.61%, 98.46%, and 99.76% of DSAN, BDA, and SC-1DCNN. Therefore, the accuracy and stability of migration tasks using the method of the present invention are the highest.

实施例2Example 2

本实施例的数据集采用江南大学数据集(JNU)为例。其中,数据采集频率50KHz,采样时间20s,分别在600rpm、800rpm、1000rpm三种转速下采集数据,相比西储大学数据集其转速下的差异更大,对此将其视作3个不同工况的数据,每个工况包含1个健康状态和3个故障状态,三种故障分别为滚珠故障,内圈故障和外圈故障,每个类别500个样本,共(4*500)2000个样本,每个样本2048个数据点,滑动步长240。通过将600rpm、800rpm和1000rpm三种转速下的工况分别记为E、F、G,其数据集具体如下表3所示:The data set of this embodiment uses the Jiangnan University data set (JNU) as an example. Among them, the data acquisition frequency is 50KHz, the sampling time is 20s, and the data are collected at three speeds of 600rpm, 800rpm, and 1000rpm. Compared with the Western Reserve University data set, the difference in speed is greater, so it is regarded as data of three different working conditions. Each working condition contains 1 healthy state and 3 fault states. The three faults are ball fault, inner ring fault and outer ring fault. There are 500 samples in each category, a total of (4*500) 2000 samples, 2048 data points for each sample, and a sliding step of 240. By recording the working conditions at the three speeds of 600rpm, 800rpm and 1000rpm as E, F, and G respectively, the data set is specifically shown in Table 3 below:

表3 JNU变工况条件下三个数据集的信息Table 3 Information of three data sets under JNU variable operating conditions

在E、F和G三个工况之间进行相互迁移,共计有6个迁移任务。本发明方法与其他模型方法进行该6个迁移任务的数据结果如下表4和图6所示。There are 6 migration tasks in total when the three working conditions E, F and G are mutually migrated. The data results of the 6 migration tasks performed by the method of the present invention and other model methods are shown in Table 4 and FIG6 .

表4 江南大学数据集测试结果(%)Table 4 Test results of Jiangnan University dataset (%)

从表4及图6可知,基本所有模型的在江南大学6个迁移任务上的平均准确率都低于西储大学的测试结果,CMMD模型的平均准确率相较于无任何域适应方法的1D-ResNet并不突出,只有1.34%的差距,这是因为CMMD是一种条件分布域适应的方法,需要用到标签信息来对齐子域,而当两个域差异增大时,输出的目标域伪标签本来就非常不可靠了,强硬的对齐会错误的使得不同的类别靠近。采用LMMD方法的DSAN模型能够通过加权来考虑伪标签的置信度,在差异较小的迁移任务中能够取得较理想的效果,但是在差异较大的迁移任务(G→E)中准确率只达到了83.91%;因为即使考虑考虑了伪标签置信度,但是当差异越大时,得到了错误伪标签的概率还是会增大,这会严重影响通过标签信息来进行条件分布对齐的方法。从表3及图6可知,本发明的方法在这6个迁移任务中平均准确率仍然优于对比的其他模型,其准确率达到了95.26%,高于SC-ADCNN、DSAN和BDA的94.98、93.07%和93.25%。As can be seen from Table 4 and Figure 6, the average accuracy of almost all models on the six migration tasks of Jiangnan University is lower than the test results of Western Reserve University. The average accuracy of the CMMD model is not outstanding compared with 1D-ResNet without any domain adaptation method, with a difference of only 1.34%. This is because CMMD is a conditional distribution domain adaptation method that requires label information to align subdomains. When the difference between the two domains increases, the output target domain pseudo-label is already very unreliable. Strong alignment will mistakenly bring different categories closer. The DSAN model using the LMMD method can consider the confidence of the pseudo-label by weighting, and can achieve a relatively ideal effect in the migration task with a small difference, but the accuracy in the migration task with a large difference (G→E) is only 83.91%; because even if the pseudo-label confidence is taken into account, the probability of obtaining an incorrect pseudo-label will increase when the difference is greater, which will seriously affect the method of conditional distribution alignment through label information. It can be seen from Table 3 and Figure 6 that the average accuracy of the method of the present invention in these six migration tasks is still better than that of other compared models, with an accuracy of 95.26%, which is higher than 94.98%, 93.07% and 93.25% of SC-ADCNN, DSAN and BDA.

以上实施例的结果充分表明了本发明提供的一种基于自适应联合域适应网络的轴承故障诊断方法的有效性、可行性及优越性。The results of the above embodiments fully demonstrate the effectiveness, feasibility and superiority of the bearing fault diagnosis method based on the adaptive joint domain adaptation network provided by the present invention.

本发明还提供了一种计算机设备,包括处理器以及存储器,存储器用于存储计算机可执行程序,处理器从存储器中读取部分或全部计算机可执行程序并执行,处理器执行部分或全部计算可执行程序时能实现上述的轴承故障诊断方法。The present invention also provides a computer device, including a processor and a memory, the memory is used to store a computer executable program, the processor reads part or all of the computer executable program from the memory and executes it, and when the processor executes part or all of the computer executable program, the above-mentioned bearing fault diagnosis method can be implemented.

本发明还提供了一种计算机可读存储介质,计算机可读存储介质中存储有计算机程序,计算机程序被处理器执行时,能实现上述的轴承故障诊断方法。The present invention also provides a computer-readable storage medium, in which a computer program is stored. When the computer program is executed by a processor, the above-mentioned bearing fault diagnosis method can be implemented.

综上所述,本发明通过AJMMD自适应联合域适应差异能度量源域和目标域之间的边缘分布差异和条件分布差异且能自适应调整两者分布差异之间的重要程度,无需要依赖人工经验去调节两种分布的平衡系数,能减轻目标域错误伪标签累积给训练走向带来的影响,拉近两个域的联合分布,约束特征提取器的训练走向,减少域间差异和域内差异,从而更好的实现无监督域适应任务。通过梯度下降法和总体损失函数进行模型参数优化更新处理,以输出训练好模型参数的轴承故障诊断训练模型。In summary, the present invention can measure the marginal distribution difference and conditional distribution difference between the source domain and the target domain through the AJMMD adaptive joint domain adaptation difference and can adaptively adjust the importance of the distribution difference between the two, without relying on manual experience to adjust the balance coefficient of the two distributions, and can reduce the impact of the accumulation of erroneous pseudo-labels in the target domain on the training trend, close the joint distribution of the two domains, constrain the training trend of the feature extractor, reduce the inter-domain difference and intra-domain difference, so as to better realize the unsupervised domain adaptation task. The model parameters are optimized and updated by the gradient descent method and the overall loss function to output the bearing fault diagnosis training model with trained model parameters.

通过改进一维残差特征提取器中的第一层的卷积核宽度,使得能感受野增大,能考虑到更多的数据信息,降低噪声数据的影响,使得训练过程更加稳定。By improving the width of the convolution kernel of the first layer in the one-dimensional residual feature extractor, the receptive field is increased, more data information can be taken into account, the impact of noise data is reduced, and the training process is made more stable.

以上所揭露的仅为本发明的较佳实施例而已,当然不能以此来限定本发明之权利范围,因此依本发明权利要求所作的等同变化,仍属本发明所涵盖的范围。The above disclosure is only the preferred embodiment of the present invention, which certainly cannot be used to limit the scope of the present invention. Therefore, equivalent changes made according to the claims of the present invention are still within the scope of the present invention.

Claims (10)

1.一种基于自适应联合域适应网络的轴承故障诊断方法,其特征在于,包括:1. A bearing fault diagnosis method based on an adaptive joint domain adaptation network, characterized by comprising: 获取无标签的目标域数据;Obtain unlabeled target domain data; 将所述目标域数据输入预先训练好的轴承故障诊断训练模型进行检测诊断,以获得诊断评估数据;Inputting the target domain data into a pre-trained bearing fault diagnosis training model for detection and diagnosis to obtain diagnostic evaluation data; 根据所述诊断评估数据确定故障类型;determining a fault type based on the diagnostic evaluation data; 其中,所述轴承故障诊断训练模型包括特征提取器、标签分类器和域适应模块;Wherein, the bearing fault diagnosis training model includes a feature extractor, a label classifier and a domain adaptation module; 所述域适应模块包括:采用基于AJMMD自适应联合域适应差异度量源域和目标域之间的边缘分布差异和条件分布差异且自适应调整两者分布差异之间的重要程度;The domain adaptation module includes: using the AJMMD-based adaptive joint domain adaptation difference to measure the marginal distribution difference and conditional distribution difference between the source domain and the target domain and adaptively adjusting the importance of the distribution difference between the two; 所述自适应调整两者分布差异之间的重要程度的步骤包括:The step of adaptively adjusting the importance of the difference between the two distributions includes: 通过所述边缘分布差异和条件分布差异计算自适应加权因子,采用所述自适应加权因子自适应调整两者分布差异之间的重要程度。An adaptive weighting factor is calculated by using the marginal distribution difference and the conditional distribution difference, and the importance of the distribution difference between the two is adaptively adjusted by using the adaptive weighting factor. 2.根据权利要求1所述的轴承故障诊断方法,其特征在于,所述轴承故障诊断训练模型的训练步骤包括:2. The bearing fault diagnosis method according to claim 1, characterized in that the training step of the bearing fault diagnosis training model comprises: S1、获取ns个有标签的源域数据和nt个无标签的目标域数据;S1, obtain n s labeled source domain data and n t unlabeled target domain data; S2、将所述源域数据和目标域数据输入所述特征提取器进行特征提取,以获得源域特征数据和目标域特征数据;S2, inputting the source domain data and the target domain data into the feature extractor for feature extraction to obtain source domain feature data and target domain feature data; S3、将所述源域特征数据和目标域特征数据输入所述标签分类器进行标签分类,以获得目标域的预测伪标签;S3, inputting the source domain feature data and the target domain feature data into the label classifier for label classification to obtain a predicted pseudo label of the target domain; S4、将所述源域特征数据、目标域特征数据、目标域的预测伪标签和源域数据的真实标签输入所述域适应模块进行域适应损失计算,以获得域适应损失LAJMMDS4, inputting the source domain feature data, the target domain feature data, the predicted pseudo label of the target domain and the real label of the source domain data into the domain adaptation module to calculate the domain adaptation loss to obtain the domain adaptation loss LAJMMD ; S5、根据所述源域数据的真实标签和交叉熵损失函数计算分类损失LCS5, calculating the classification loss LC according to the real label of the source domain data and the cross entropy loss function; S6、根据所述分类损失LC和域适应损失LAJMMD反向传播梯度,以优化更新特征提取器的参数和标签分类器的参数;S6. Back-propagate gradients according to the classification loss LC and the domain adaptation loss LAJMMD to optimize and update parameters of the feature extractor and the label classifier; S7、当当前迭代计算次数大于等于预设迭代次数时,输出训练好的轴承故障诊断训练模型,否则返回步骤S2中继续训练。S7. When the current iterative calculation number is greater than or equal to the preset iterative number, output the trained bearing fault diagnosis training model, otherwise return to step S2 to continue training. 3.根据权利要求2所述的轴承故障诊断方法,其特征在于,所述特征提取器为一维残差特征提取器,其包括四个Block块,第一个Block块包括一个卷积层,卷积层采用一维卷积核,其余的Block块均包括两个Bottleneck块;标签分类器包括一个全连接输出层。3. The bearing fault diagnosis method according to claim 2 is characterized in that the feature extractor is a one-dimensional residual feature extractor, which includes four Block blocks, the first Block block includes a convolution layer, the convolution layer uses a one-dimensional convolution kernel, and the remaining Block blocks each include two Bottleneck blocks; the label classifier includes a fully connected output layer. 4.根据权利要求2所述的轴承故障诊断方法,其特征在于,所述根据所述分类损失LC和域适应损失LAJMMD反向传播梯度,以优化更新特征提取器的参数和标签分类器的参数步骤包括:4. The bearing fault diagnosis method according to claim 2, characterized in that the step of back-propagating gradients according to the classification loss LC and the domain adaptation loss LAJMMD to optimize and update the parameters of the feature extractor and the parameters of the label classifier comprises: 根据所述分类损失LC、域适应损失LAJMMD和总体域适应因子构建总体损失函数并计算总体损失L;Constructing an overall loss function according to the classification loss LC , the domain adaptation loss LAJMMD and the overall domain adaptation factor and calculating the overall loss L; 根据梯度下降算法和所述总体损失L进行模型参数优化计算,以优化更新特征提取器的参数和标签分类器的参数。The model parameter optimization calculation is performed according to the gradient descent algorithm and the overall loss L to optimize and update the parameters of the feature extractor and the parameters of the label classifier. 5.根据权利要求4所述的轴承故障诊断方法,其特征在于,通过所述域适应模块中的AJMMD自适应联合域适应损失函数计算域适应损失LAJMMD,其函数计算公式为:5. The bearing fault diagnosis method according to claim 4, characterized in that the domain adaptation loss LAJMMD is calculated by the AJMMD adaptive joint domain adaptation loss function in the domain adaptation module, and its function calculation formula is: 其中,LAJMMD表示为域适应损失,LMMD表示为边缘分布损失,LLMMD表示为条件分布损失,w表示为训练中每个batch数据的自适应加权因子,,MMD(·)为最大均值差异损失函数,LMMD(·)为局部最大均值差异损失函数,F(xs)表示为源域特征数据,F(xt)表示为目标域特征数据,ys表示为源域数据的真实标签,表示为目标域的预测伪标签。Among them, LAJMMD represents the domain adaptation loss, LMMD represents the marginal distribution loss, LMMD represents the conditional distribution loss, and w represents the adaptive weighting factor of each batch data in training. , MMD (·) is the maximum mean difference loss function, LMMD (·) is the local maximum mean difference loss function, F(x s ) represents the source domain feature data, F(x t ) represents the target domain feature data, y s represents the true label of the source domain data, Denoted as the predicted pseudo-label of the target domain. 6.根据权利要求5所述的轴承故障诊断方法,其特征在于,所述交叉熵损失函数的计算公式为:6. The bearing fault diagnosis method according to claim 5, characterized in that the calculation formula of the cross entropy loss function is: 其中,表示为分类损失,表示为标签分类器的预测结果,ys表示为源域数据的真实类别标签,表示源域第i个样本的真实标签,M代表源域故障类型总数,I(·)是标志函数,m表示为当前故障类别,ai,m代表第个样本属于m类别的预测概率。in, Denoted as classification loss, is represented as the prediction result of the label classifier, y s is represented as the true category label of the source domain data, represents the true label of the i-th sample in the source domain, M represents the total number of fault types in the source domain, I(·) is the marker function, m represents the current fault category, and a i,m represents the The predicted probability that a sample belongs to m categories. 7.根据权利要求6所述的轴承故障诊断方法,其特征在于,所述总体损失函数的计算公式为:7. The bearing fault diagnosis method according to claim 6, characterized in that the calculation formula of the overall loss function is: 其中,表示为总体损失,表示为特征提取器的理想参数,标签分类器的理想参数,表示为特征提取器的待优化参数,表示为标签分类器的待优化参数,是总体域适应因子。in, Expressed as the overall loss, Denote as the ideal parameters of the feature extractor, The ideal parameters for the label classifier, Represented as the parameter to be optimized for the feature extractor, Represented as the parameter to be optimized for the label classifier, is the overall domain adaptation factor. 8.根据权利要求3所述的轴承故障诊断方法,其特征在于,所述一维卷积核为32x1的卷积核。8. The bearing fault diagnosis method according to claim 3, characterized in that the one-dimensional convolution kernel is a 32x1 convolution kernel. 9.一种计算机设备,其特征在于,包括处理器以及存储器,所述存储器用于存储计算机可执行程序,所述处理器从存储器中读取部分或全部所述计算机可执行程序并执行,处理器执行部分或全部计算可执行程序时能实现权利要求1至8中任一项所述的轴承故障诊断方法。9. A computer device, characterized in that it comprises a processor and a memory, wherein the memory is used to store a computer executable program, and the processor reads part or all of the computer executable program from the memory and executes it, and when the processor executes part or all of the computer executable program, it can implement the bearing fault diagnosis method described in any one of claims 1 to 8. 10.一种计算机可读存储介质,其特征在于,计算机可读存储介质中存储有计算机程序,所述计算机程序被处理器执行时,能实现权利要求1至8中任一项所述的轴承故障诊断方法。10. A computer-readable storage medium, characterized in that a computer program is stored in the computer-readable storage medium, and when the computer program is executed by a processor, the bearing fault diagnosis method according to any one of claims 1 to 8 can be implemented.
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