CN110826458A - Multispectral remote sensing image change detection method and system based on deep learning - Google Patents
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Abstract
The invention discloses a multispectral remote sensing image change detection method and a multispectral remote sensing image change detection system based on deep learning, which belong to the technical field of image processing, and comprise the following steps: calculating the change vector amplitude of the remote sensing image; obtaining a pseudo training sample set according to a change vector magnitude (EM) algorithm: a marked sample set (comprising a change type sample set and a non-change type sample set) and a non-marked sample set; constructing two network student networks and a teacher network, constructing a cross entropy loss function for a marked sample set, and constructing a mean square error function for a non-marked sample set; optimizing the student network by adopting a random gradient descent optimization algorithm, and updating the weight parameters of the teacher network in each training turn; and acquiring a corresponding final change detection result according to the final teacher network. In addition, a label-free sample set is added in the training of the network to participate in the training, so that the result of the change detection is more reliable and has more robustness.
Description
Technical Field
The invention belongs to the technical field of image processing, and particularly relates to a multispectral remote sensing image change detection method and system based on deep learning.
Background
The change detection of the remote sensing image is to quantitatively analyze and determine the characteristics and the process of the surface change from the remote sensing data in different periods. Various scholars put forward a plurality of effective detection algorithms from different angles and application researches, and generally speaking, according to whether a training sample is needed in the detection process, the change detection can be divided into three main categories: unsupervised change detection algorithms, semi-supervised change detection algorithms and supervised change detection algorithms. The unsupervised change detection algorithm does not need a training sample, and the modeling process does not need prior knowledge, so the algorithm is widely applied. The unsupervised change detection algorithm generally first constructs a difference image of two time phases, and then processes the difference image to obtain a change detection result. Conventional Change detection methods Change Vector Analysis (CVA), detection methods based on principal component transformation, clustering methods based on Fuzzy C-means (FCM), multivariate Change detection algorithms, Change detection algorithms based on undirected graphs (including MRF, CRF, etc.), and the like. In the unsupervised change detection modeling based on the deep learning, a difference image does not need to be constructed by a conventional change detection method, the depth information of two time phase images is directly utilized, the change information among different images can be better depicted, and the method has advantages in the field of multi-time phase change detection.
The university of Western electronic technology proposed a SAR image change detection based on unsupervised DBN neural network in the patent of its application, namely, unsupervised deep neural network-based SAR image change detection (patent application No. 201410818305.3, publication No. CN104517124A) and in the published "Change detection in synthetic aperture images based on deep neural network" (IEEE Transactions on Geoscience and removal Sensing,2016,27(1):125- & 137). The method mainly aims at the radar images with multiple time phases, the sample selection of the pseudo label is based on the FCM algorithm, and the reliability of the sample is not high.
A method for detecting Multispectral changes of a generation countermeasure network (GAN) is provided in an article A general characterization classification for Change Detection in multisection image (IEEE Journal of selected Topics in Applied Earth requirements and Remote Sensing,2019,12(1):321 addition 333). The method comprises the steps of firstly, jointly selecting a pseudo mark sample according to a CVA technology and an Otsu threshold value method, and in the training of generating the countermeasure network, obtaining three types of data: and training the network by the pseudo-labeled sample, the non-pseudo-labeled sample and the generated false data together, and finally obtaining a final change detection result according to the trained discrimination network. The disadvantage of this approach is that training of the network is prone to collapse of the pattern.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provides a multispectral remote sensing image change detection method and system based on deep learning, so that the final change detection result of a double-temporal multispectral remote sensing image is more reliable and stable.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows: a multispectral remote sensing image change detection method based on deep learning comprises the following steps:
a. carrying out image registration on the remote sensing image, carrying out radiation correction by using a multivariate change detection method, and then calculating the change vector amplitude of the remote sensing image;
b. acquiring a pseudo training sample set by utilizing a maximum expectation algorithm according to the change vector amplitude;
c. two identical fully-connected deep learning networks were constructed: a teacher network and a student network;
d. training a teacher network and a student network through a pseudo training sample set;
e. and acquiring a final change detection result according to the teacher network.
The image registration comprises geometric coarse correction and geometric fine correction
The number of neurons in the first layer of the teacher network and the number of neurons in the second layer of the student network are 294, the number of neurons in the second layer of the teacher network and the number of neurons in the third layer of the student network are 64, the number of neurons in the third layer of the teacher network and the number of neurons in the fourth layer of the student network are 2, the input dimension of the teacher network and the input dimension of the student network are 294, and the output dimension of the teacher.
The teacher network and the student network take samples in a 7 x 7 square window as input, and the multispectral images of two time phases of each sample have 6 wave bands.
The teacher network and the student network both use batch normalization processing except for the output layer, and the middle layer uses the LeakyReLU (x) activation function:
LeakyReLU(x1)=max(0,x1)+negative_slope*min(0,x1) (7)
in the formula, x1Is the output matrix of the output intermediate layer of the network and negative slope represents the angle controlling the negative slope.
The step d comprises the following steps:
da. Labeled data set of pseudo training sample setAndinputting student network Ns and calculating loss function L of labeled data set1:
Wherein x represents the spectrum normalization characteristic value of the corresponding sample point, y is the label corresponding to the sample, and wsIs the weight of the student network, f represents the probability output of the student network Ns, lCERepresents a cross entropy loss function, which is defined as follows:
in the formula, k represents a tag in change detection, the value is {0, 1}, 0 represents no change, 1 represents a change, and w represents the weight of the network.
db. Unlabeled data set of pseudo training sample setInput into student network Ns to obtainCorresponding tag output
dc. Unlabeled data set of pseudo training sample setInput to teacher network Nt to obtainCorresponding outputg represents the probability output, w, of the teacher network NttA weight representing the teacher network Nt;
dd. Aiming at the unlabeled data set, expecting that the student network Ns is consistent with the predicted labels of the teacher network Nt, and constructing an unlabeled loss function L2:
L2=||f(x;ws)-g(x;wt)2(10)
de. According to the total loss function L1+L2Updating the weight w of the student network Ns by adopting a back propagation algorithm and a random gradient descent algorithms。
df. Updating parameter w of teacher network Nt by using parameter of student network Nst:
In the formula, epc represents the number of times of training of the whole training sample, and α represents the decay rate;
dg. Repeating the steps da to df until the student network Ns converges, and obtaining the final weight w of the teacher network Nt according to the formula (11)t。
The multispectral remote sensing image change detection system based on deep learning comprises a processor and a storage device, wherein a plurality of instructions are stored in the storage device, and the storage device is used for the processor to load and execute the steps of any one of the methods.
Compared with the prior art, the invention has the following beneficial effects: according to the multispectral remote sensing image change detection method and system based on deep learning, the marked sample set and the unmarked sample set are obtained in an unsupervised mode, so that the defects of high cost and strong randomness of manual sample selection are overcome; the change detection system comprises two networks: the student network and the teacher network update parameters of the teacher network in each training step and guide learning of the student network in time, so that the final change detection result of the double-time-phase multispectral remote sensing image is more reliable and stable, and the detection precision is higher.
Drawings
Fig. 1 is a schematic flow chart illustrating an implementation process of a multispectral remote sensing image change detection method based on deep learning according to an embodiment of the present invention;
FIG. 2 is a 3 rd band schematic of a high resolution IKONOS image taken in Saudi Arabia Mina area, month 1, 2007 as used in an embodiment of the present invention;
FIG. 3 is a schematic 3 band diagram of a Mina region high resolution IKONOS image of Saudi Arabia, month 12, 2007 as used in an embodiment of the present invention;
FIG. 4 is a change detection reference (Ground Truth) image;
FIG. 5 is an EM-MRF algorithm detection result image;
FIG. 6 is a DBN algorithm detection result image;
FIG. 7 is an image of the detection results of the GAN algorithm;
fig. 8 is an image of a detection result obtained by the method of the embodiment of the present invention.
Detailed Description
A multispectral remote sensing image change detection method based on deep learning comprises the following steps: carrying out image registration on the remote sensing image, carrying out radiation correction by using a multivariate change detection method, and then calculating the change vector amplitude of the remote sensing image; obtaining a pseudo training sample set according to the magnitude of the variation vector and by utilizing a maximum expectation algorithm: a marked sample set (comprising a change type sample set and a non-change type sample set) and a non-marked sample set; two identical fully-connected deep learning networks were constructed: a teacher network and a student network; training a teacher network and a student network through a pseudo training sample set, wherein a cross entropy loss function is constructed for a marked sample set, and a mean square error function is constructed for a non-marked sample set; optimizing the student network by adopting a random gradient descent optimization algorithm, and updating the weight parameters of the teacher network in each training turn; and acquiring a corresponding final change detection result according to the final teacher network. In addition, a label-free sample set is added in the training of the network to participate in the training, so that the result of the change detection is more reliable and has more robustness.
The invention is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
As shown in fig. 1, the implementation process of the multispectral remote sensing image change detection method based on deep learning of the present invention is schematically illustrated, and the implementation process includes the following steps:
step 1: inputting two high-resolution optical remote sensing images in the same area and different time phases and respectively recording as X1And X2。
Step 2: using remote sensing software ENVI to X1And X2Performing image registration, which comprises two steps of coarse correction and fine correction:
for geometric coarse correction, the method is realized by using related functions in ENVI4.8 software, and the specific operation steps are as follows: (1) displaying a reference image and an image to be corrected; (2) collecting ground control points GCPs; the GCPs should be uniformly distributed in the whole image, and the number of the GCPs is at least more than or equal to 9. (3) Calculating an error; (4) selecting a polynomial model; (5) resampling and outputting by adopting bilinear interpolation;
bilinear difference method, if the unknown function f is found to be (x, y) at point P, let us assume that the function f is known to be Q11=(x1,y1),Q12=(x1,y2),Q21=(x2,y1),And Q22=(x2,y2) Values of four points. If a coordinate system is chosen such that the coordinates of these four points are (0,0), (0,1), (1,0), and (1,1), respectively, then the bilinear interpolation formula can be expressed as:
f(x,y)≈f(0,0)(1-x)(1-y)+f(1,0)x(1-y)+f(0,1)(1-x)y+f(1,1)xy (1)
for geometric fine correction, performing geometric fine correction on the multispectral remote sensing image data subjected to geometric coarse correction by using an automatic matching and triangulation method;
the triangle subdivision method is that a Delaunay triangulation network is built by adopting a point-by-point insertion method, for each triangle, affine transformation model parameters in the triangle are determined by utilizing the row and column numbers of three vertexes of the triangle and the geographic coordinates of the same-name points of the corresponding reference image, and the image to be corrected is corrected to obtain the corrected remote sensing image.
And step 3: detection of X by Multivariate Change Detection (MAD) method1And X2And carrying out radiation normalization correction. The method comprises the steps of firstly finding a linear combination of brightness values of wave bands of two-stage images to obtain a difference image with enhanced change information, determining changed and unchanged areas through a threshold value, and then completing relative radiation correction through a mapping equation of two time phase pixel pairs corresponding to the unchanged areas.
And 4, step 4: for the input multi-temporal high-resolution image, the variation vector amplitude XMIs calculated as follows:
wherein, XM(i, j) represents the magnitude of the change vector at coordinate (i, j); b represents the wave band number of each time phase remote sensing image; (i, j) coordinates representing the remote sensing image; b represents the serial number of the band; x1b(i, j) represents a pixel value at the b-th band image (i, j) of the previous phase; x2b(i, j) represents the pixel value at the b-th band image (i, j) of the subsequent phase.
And 5: using Bayes principles and based on Expectation-Max (Expectation-Max)imzation, EM) algorithm obtains the optimal segmentation threshold T. Will | XMAnd taking the area with the value of-T | ≦ delta as a pseudo training sample set. Wherein δ is selected as XM15% of the dynamic range, the calculation process of the optimal segmentation threshold T and the construction of the pseudo training sample set are as follows:
1) suppose XMUnchanged class omega on imagenAnd variation class omegacObey the following gaussian distribution, namely:
wherein p (X)M(i,j)|ωl) Representing image XMThe pixel value at the upper coordinate (i, j) belongs to the class ωlConditional probability of, ωl∈{ωn,ωc};σl,mlRespectively represent images XMUpper belongs to the class omegalVariance and mean of σl∈{σn,σc},ml∈{mn,mcThe mean and standard deviation of the unchanged classes are mnAnd σnThe mean and standard deviation of the variation classes are mcAnd σc(ii) a Using EM algorithm, m can be estimatedn、σn、mcAnd σcThe following description will be given only by taking parameter estimation of unchanged classes as an example, and the parameter estimation of changed classes is similar.
Wherein, I and J respectively represent the number of rows and columns of the image, and t represents the number of iterations; p is a radical oft(XM(i, j)) represents the pixel value X at the number of iterations tM(i, j) overviewRate; p is a radical oft(ωn) Representing the prior probability of the unchanged class when the iteration number is t; p is a radical oft(XM(i,j)|ωn) Representing the pixel value X at the number of iterations tM(i, j) conditional probability of belonging to an unchanged class;representing the unchanged class mean value when the iteration number is t;representing the unchanged class variance when the iteration number is t + 1;
2) solving the change vector magnitude image X according to Bayes minimum error criterionMA segmentation threshold value T of (1);
3) determining a training sample set:
3.1) based on the threshold T estimated by the EM algorithm, XMThe samples greater than T are preliminarily determined as a change sample set (the change class is marked as 1), and the samples less than or equal to T are preliminarily determined as unchanged samples (the unchanged class is marked as 0), so that an initial change detection result C is obtained0。
3.2) to C0Mean filtering is performed with a window size ψ (ψ is set to an odd number greater than 1), samples at the center of the corresponding window with a filtering result of 1 are set to a changed class (denoted as 1), samples at the center of the corresponding window with a filtering result of 0 are set to a non-changed class (denoted as 0), and corresponding samples other than the above two cases are set to unmarked samples. The change class sample set at this time is recorded asSet of invariant class samples asSet of unlabeled samples
3.3) recording XMSet of coordinates greater than T is i1,XMSeat less than or equal to TThe standard set is i2. Respectively calculate XMAt i1And i2And are respectively expressed asAndmixing XMIs greater thanIs marked as a change class, X is markedMIs less thanThe sample of (1) is marked as a non-change class. The change class sample set at this time is recorded asSet of invariant class samples as
3.4) solvingAndobtaining a sample set of variation classesTo findAndobtaining the invariant sample set
Step 6: two identical fully-connected deep learning networks, namely a teacher network Nt and a student network Ns, are constructed. The number of neurons in the first layer of the network is 294 (samples in a 7 × 7 square window are used as input, and multispectral images of two time phases of each sample have 6 wave bands in total), the number of neurons in the second layer is 64, the number of neurons in the third layer is 128, and the number of neurons in the fourth layer is 2. The teacher (student) network has an input dimension of 294 and an output dimension of 2 (corresponding to both classes changed and unchanged). All layers of the teacher (student) network except the output layer use batch normalization, the middle layer uses the LeakyReLU (x) activation function:
LeakyReLU(x1)=max(0,x1)+negative_slope*min(0,x1) (7)
in the formula, x1Is the output matrix of the output intermediate layer of the network and negative slope represents the angle controlling the negative slope.
And 7: network parameters, including network weights and biases, of the student network Ns and the teacher network Nt are randomly initialized.
And 8: starting network training, comprising the steps of:
8.1: labeled data set of pseudo training sample setAndinputting student network Ns and calculating loss function L of labeled data set1:
Wherein x represents the spectrum normalization characteristic value of the corresponding sample point, y is the label corresponding to the sample, and wsIs the weight of the student network, f represents the probability output of the student network Ns, lCERepresents a cross entropy loss function, which is defined as follows:
in the formula, k represents a tag in change detection, the value is {0, 1}, 0 represents no change, 1 represents a change, and w represents the weight of the network.
8.2 unlabeled data set of pseudo training sample setInput into student network Ns to obtainCorresponding tag outputf represents the probabilistic output of the student network Ns;
8.3 unlabeled dataset of pseudo-training sample setInput to teacher network Nt to obtainCorresponding outputg represents the probability output, w, of the teacher network NttA weight representing the teacher network;
8.4, aiming at the unlabeled data set, expecting that the student network Ns is consistent with the predicted labels of the teacher network Nt, and constructing an unlabeled loss function L according to the steps 8.3 and 8.42:
L2=||f(x;ws)-g(x;wt)||2(10)
8.5 according to the total loss function L1+L2Updating the weight w of the student network Ns by adopting a back propagation algorithm and a random gradient descent algorithms;
8.6 updating parameter w of teacher network Nt by using parameter of student network Nst:
Where epc indicates the number of training samples as a whole, and α indicates the decay rate, which is generally set to a value between 0.9 and 0.999.
And step 9: repeating the steps 8.1-8.6 until the student network Ns converges, and obtaining the final weight w of the teacher network Nt according to the formula (11)t。
Step 10: and normalizing the two multispectral images in different time phases, and inputting the normalized multispectral images into a trained teacher network to divide the classes of change and non-change.
The present invention is described in further detail below with reference to specific experimental data. The experimental data used in this experiment were multi-temporal IKNOS high-resolution image data in the Mina region of saudi arabia, with an image size of 700 × 950, using three bands B1, B2, and B3. The specific parameter settings in the deep learning training are as follows: (1) the number of batch samples was 128; (2) the number of iterative training times is 100; (3) when a pseudo training sample is constructed, setting the local window size psi of the sample to be 7; (4) the learning rate is set to 0.01.
To verify the effectiveness of the present invention, the change detection method of the present invention was compared to the following change detection methods:
(1) CVA-based EM-MRF method (EM-MRF) [ detection methods mentioned in the article "Automatics analysis of differential image for unsupervised change detection" (EETransmission on Geoscience and Remote Sensing,2000,38(3):1171-1182 ], by Bruzzone L. et al, Italy ].
(2) Deep belief network detection method (DBN) proposed by Gong et al [ Maoguo Gong et al, detection methods proposed in the article "Change detection in synthetic architecture radiation images based on deep neural networks. (IEEE Transactions on Geoscience and remove Sensing,2016,27(1):125-
(3) A method for detecting a challenge Network (GAN) [ Maoguo Gong et al, in the article "AGENTATIVE DISCRIMINATION CLASSIFIED NETWORK FOR CHANGE DETECTION IN MULTI-SPECTRAL IMAGERY ] (IEEE Journal of Selected Topics in Applied Earth Observation and removal Sensing,2019,12(1):321-
(4) The method of the invention.
The detection performance is measured by four indexes of error detection number FP, missing detection number FN, total error number OE and Kappa coefficient. The closer FP, FN and OE are to 0 and the closer Kappa coefficient k is to 1, indicating the better performance of the change detection method. The results are shown in Table 1.
TABLE 1 comparison of multi-temporal IKONOS image change detection results in Mina area
Method of producing a composite material | FP | FN | OE | k |
EM-MRF | 13373 | 1367 | 14740 | 0.821 |
DBN | 1944 | 2214 | 4158 | 0.942 |
GAN | 1719 | 3997 | 5716 | 0.918 |
The method of the invention | 1611 | 2314 | 3925 | 0.943 |
Ideal for | 0 | 0 | 0 | 1 |
As can be seen from Table 1, the Kappa coefficient k of the detection method provided by the invention is maximum and is closer to 1 than the other three detection algorithms. In addition, the total error number OE of the present invention is the smallest in the comparison algorithm, closer to 0. In conclusion, the performance of the change detection algorithm of the invention is superior to that of the other three detection methods, which shows that the change detection method provided by the invention is effective.
Fig. 2 is a time-phase multispectral IKONOS image of the Mina region, fig. 3 is a time-phase multispectral IKONOS image of the Mina region, and fig. 4 is a reference image of change detection. Fig. 5 is a change detection result of the EM-MRF algorithm, fig. 6 is a change detection result of the DBN algorithm, fig. 7 is a change detection result of the GAN algorithm, and fig. 8 is a change detection result of the method according to the embodiment of the present invention. From the comparison between the reference diagram of fig. 4 and fig. 5 to 8, the detection effect of the algorithm of the present invention is the best in visual effect.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and variations can be made without departing from the technical principle of the present invention, and these modifications and variations should also be regarded as the protection scope of the present invention.
Claims (7)
1. A multispectral remote sensing image change detection method based on deep learning is characterized by comprising the following steps:
a. carrying out image registration on the remote sensing image, carrying out radiation correction by using a multivariate change detection method, and then calculating the change vector amplitude of the remote sensing image;
b. acquiring a pseudo training sample set by utilizing a maximum expectation algorithm according to the change vector amplitude;
c. two identical fully-connected deep learning networks were constructed: a teacher network and a student network;
d. training a teacher network and a student network through a pseudo training sample set;
e. and acquiring a final change detection result according to the teacher network.
2. The deep learning-based multispectral remote sensing image change detection method according to claim 1, wherein the image registration comprises geometric coarse correction and geometric fine correction.
3. The deep learning-based multispectral remote sensing image change detection method as claimed in claim 1, wherein the number of neurons in a first layer of the teacher network and the student network is 294, the number of neurons in a second layer of the teacher network is 64, the number of neurons in a third layer of the teacher network is 128, the number of neurons in a fourth layer of the teacher network is 2, and the input dimension and the output dimension of the teacher network and the student network are 294 and 2, respectively.
4. The method for detecting the change of the multispectral remote sensing image based on the deep learning as claimed in claim 3, wherein the teacher network and the student network take samples in a 7 x 7 square window as input, and the multispectral image of each sample in two time phases has 6 wave bands.
5. The deep learning based multispectral remote sensing image change detection method as claimed in claim 3, wherein the teacher network and the student network use batch normalization processing except for output layer, and the middle layer uses LeakyReLU (x) activation function:
LeakyReLU(x1)=max(0,x1)+negative_slope*min(0,x1) (7)
in the formula, x1Is the output matrix of the output intermediate layer of the network and negative slope represents the angle controlling the negative slope.
6. The method for detecting the change of the multispectral remote sensing image based on the deep learning as claimed in claim 1, wherein the step d comprises the following steps:
da. Labeled data set of pseudo training sample setAndinputting student network Ns and calculating loss function L of labeled data set1:
Wherein x represents the spectrum normalization characteristic value of the corresponding sample point, y is the label corresponding to the sample, and wsIs the weight of the student network, f represents the probabilistic output of the student network Ns,represents a cross entropy loss function, which is defined as follows:
in the formula, k represents a tag in change detection, the value is {0, 1}, 0 represents no change, 1 represents a change, and w represents the weight of the network.
db. Unlabeled data set of pseudo training sample setInput into student network Ns to obtainCorresponding tag output
dc. Unlabeled data set of pseudo training sample setInput to teacher network Nt to obtainCorresponding outputg represents the probability output, w, of the teacher network NttA weight representing the teacher network Nt;
dd. Aiming at the unlabeled data set, expecting that the student network Ns is consistent with the predicted labels of the teacher network Nt, and constructing an unlabeled loss function L2:
L2=||f(x;ws)-g(x;wt)||2(10)
de. According to the total loss function L1+L2Updating the weight w of the student network Ns by adopting a back propagation algorithm and a random gradient descent algorithms。
df. Updating parameter w of teacher network Nt by using parameter of student network Nst:
In the formula, epc represents the number of times of training of the whole training sample, and α represents the decay rate;
dg. Repeating the steps da to df until the student network Ns convergesAnd obtaining the final weight w of the teacher network Nt according to the formula (11)t。
7. A multispectral remote sensing image change detection system based on deep learning is characterized by comprising a processor and a storage device, wherein a plurality of instructions are stored in the storage device, and the instructions are used for the processor to load and execute the steps of the method according to any one of claims 1 to 6.
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