CN111207739A - Pedestrian walking zero-speed detection method and device based on GRU neural network - Google Patents

Pedestrian walking zero-speed detection method and device based on GRU neural network Download PDF

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CN111207739A
CN111207739A CN201811405861.2A CN201811405861A CN111207739A CN 111207739 A CN111207739 A CN 111207739A CN 201811405861 A CN201811405861 A CN 201811405861A CN 111207739 A CN111207739 A CN 111207739A
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吴鹏
邵刘军
林宏波
罗璐
廉杰
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Qianxun Spatial Intelligence Inc
Qianxun Position Network Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/10Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
    • G01C21/12Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning
    • G01C21/16Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/20Instruments for performing navigational calculations
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/04Architecture, e.g. interconnection topology
    • G06N3/045Combinations of networks
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/04Architecture, e.g. interconnection topology
    • G06N3/048Activation functions
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/08Learning methods

Abstract

The invention provides a pedestrian walking zero-speed detection method based on a GRU neural network, wherein the GRU comprises an update gate and a reset gate, and the method comprises the following steps: receiving and recording data x sent by IMU in real timet(ii) a Data x of current state inputtData h output from the hidden layer at the previous momentt‑1Outputting a value between 0 and 1 through an updating gate, and calculating to obtain an updating gate vector ut(ii) a Data xtAnd data ht‑1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and a reset gate vector r is obtained through calculationtWhile the tanh layer creates a new candidate memory value vector
Figure DDA0001876366840000011
The gate vector u will be updatedtAs a weight vector, a candidate memory value vector
Figure DDA0001876366840000012
And the data h output by the hidden layer at the previous momentt‑1Obtaining output vector h of GRU unit by weighted averaget(ii) a Selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data.

Description

Pedestrian walking zero-speed detection method and device based on GRU neural network
Technical Field
The invention relates to the technical field of pedestrian walking detection, in particular to a pedestrian walking zero-speed detection method and device based on a GRU neural network.
Background
In view of the requirements of various aspects such as volume, weight, power consumption, cost and the like, most pedestrian walking Navigation systems use a low-precision MEMS (Micro-Electro-Mechanical System) inertial sensor to complete the measurement of gait and motion acceleration of pedestrians, and provide accurate position Navigation service for pedestrians in GNSS (Global Navigation Satellite System) and other areas, under the shade of trees and even indoors where most radio Navigation systems have poor performance. Because the precision of the MEMS inertial device is low, and the inertial device is difficult to be corrected by satellite signals under the environment with weak GNSS signals, an effective solution is to install the MEMS inertial device on a shoe, and perform zero-speed correction by using the zero-speed state of the instep in the walking process of a human body, so as to achieve a long-time high-precision pure-inertia autonomous positioning result.
Then, according to the above, the accuracy of the zero-speed detection plays a crucial role in completing a higher positioning index by using a lower-performance MEMS inertial device. The existing zero-speed detector mainly judges the zero-speed state of the foot surface when a pedestrian walks according to a given unified threshold, data read by an Inertial Measurement Unit (IMU) is substituted into a motion model for calculation, and if the calculation result is lower than the threshold, the system considers that the current foot surface of the pedestrian is in a static state. However, the walking posture of the human has higher diversity, and the walking posture of the pedestrian has stronger complexity for some special road conditions (such as climbing stairs, ascending slopes, etc.), so that it is difficult to accurately judge the zero-speed walking state by using a fixed statistical threshold, which seriously restricts the walking navigation algorithm from achieving higher walking navigation accuracy of the pedestrian.
While a fixed threshold may provide near-optimal zero velocity detection for uniform motion types, human motion gestures are diverse and have some complexity, and fixed threshold detection fails when the user changes his motion type or intensity. Because the threshold given by the system is no longer optimal, the following two cases of zero-speed detection failure occur: 1) the threshold value is set to be too high, so that the output result of the motion model is lower than the threshold value, namely the instep is misjudged as a static state when moving; 2) the threshold is set too low, resulting in the output result of the motion model being higher than the threshold, i.e. the foot surface is still misjudged as a motion state in a static state. Both of the above two errors will cause the zero-speed-based walking navigation algorithm to generate a large accumulated error, and finally, the positioning accuracy is reduced.
Disclosure of Invention
The invention provides a method for completing a pedestrian gait zero-speed detection task by using a Recurrent Neural Network (RNN) Gated cyclic Unit (GRU) to replace the existing model-based zero-speed detector, which can adaptively learn the walking posture characteristics of a pedestrian, distinguish different motion states of the human body during walking, improve the detection precision of the zero-speed state, solve the technical problems and finally achieve higher walking navigation precision.
The technical scheme adopted by the invention is as follows:
a pedestrian walking zero-speed detection method based on a GRU neural network, wherein the GRU comprises an updating gate and a resetting gate, and the method comprises the following steps:
receiving and recording data x sent by IMU in real timet
Data x of current state inputtData h output from the hidden layer at the previous momentt-1Through the update gateA value between 0 and 1 is obtained, and an updated gate vector u is obtained through calculationt
Data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and a reset gate vector r is obtained through calculationtWhile the tanh layer creates a new candidate memory value vector
Figure BDA0001876366820000021
The gate vector u will be updatedtAs a weight vector, a candidate memory value vector
Figure BDA0001876366820000022
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
Selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
Further, the IMU is fixed on the sole, and data x sent by the IMU is received and recorded in real time through the handheld devicet
Further, the IMU is a 6-axis IMU device.
Further, the update gate vector utThe calculation formula is as follows:
ut=σ(bu+Uuxt+Wuht-1)
wherein u istRepresenting the updated gate vector at time t, σ being the activation function, buOffset vector, U, representing the update gateuInput weight, W, representing an update gateuIndicating the cyclic weight of the update gate, xtData, h, from IMU at time tt-1Representing the data output by the hidden layer at time t-1.
Further, the reset gate vector rtThe calculation formula is as follows:
rt=σ(br+Urxt+Wrht-1)
the candidate memory value vector
Figure BDA0001876366820000031
The calculation formula is as follows:
Figure BDA0001876366820000032
wherein r istRepresenting the reset gate vector at time t, brOffset vector, U, representing reset gaterRepresenting the input weight of the reset gate, WrA cyclic weight of the reset gate is represented,
Figure BDA0001876366820000033
representing candidate memory value vectors at time t, bsOffset vector, U, representing candidate memory cellsRepresenting input weights, W, of candidate memory cellssRepresents the round-robin weight of the candidate memory cell, and tanh represents the activation function.
Further, the output vector h of the GRU unittThe calculation formula is as follows:
Figure BDA0001876366820000034
wherein h istRepresenting the output vector of the GRU unit at time t.
Further, different data x are selectedtAnd (4) as an input vector, taking the ground zero-speed label as a true value, repeating the steps, and performing GRU training and verification.
Further, 150 groups of data were selected for GRU training and 50 groups of data were selected for GRU validation.
Further, the step length of each set of data was 400 meters.
The invention also provides a pedestrian walking zero-speed detection device based on the GRU neural network, which comprises:
a data receiving unit for receiving and recording the data x sent by the IMU in real timet
Update gate vector calculation Unit, data x input at Current StatetData h output from the hidden layer at the previous momentt-1Outputting a value between 0 and 1 through an updating gate for calculating to obtain an updating gate vector ut
A unit for calculating a reset gate vector and a candidate memory value vector, data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1 for calculating to obtain a reset gate vector rtWhile the tanh layer creates a new candidate memory value vector
Figure BDA0001876366820000035
A GRU output vector calculation unit for updating the gate vector utAs a weight vector, a candidate memory value vector
Figure BDA0001876366820000036
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
A pedestrian walking zero-speed detection unit for selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
The invention also provides a memory, in which a computer program is stored, the computer program performing the steps of:
receiving and recording data x sent by IMU in real timet
Data x of current state inputtData h output from the hidden layer at the previous momentt-1Outputting a value between 0 and 1 through an updating gate, and calculating to obtain an updating gate vector ut
Data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and a reset gate vector r is obtained through calculationtWhile the tanh layer creates new candidate tokensMemory value vector
Figure BDA0001876366820000041
The gate vector u will be updatedtAs a weight vector, a candidate memory value vector
Figure BDA0001876366820000042
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
Selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
The invention trains GRU by using ground truth-value zero-speed labels and a large amount of asynchronous data, so that the zero-speed detector can accurately judge the zero-speed state of the pedestrian in different motion states, thereby improving the positioning precision of a pedestrian navigation system.
Drawings
Fig. 1 is a pedestrian trajectory graph calculated by a pedestrian walking zero-speed detection algorithm based on a GRU neural network.
Fig. 2 is a projection diagram of a pedestrian track on a google map, which is calculated by a GRU neural network-based pedestrian walking zero-speed detection algorithm.
Fig. 3 is a structural diagram of a pedestrian walking zero-speed detection device based on a GRU neural network.
Detailed Description
The invention mainly utilizes the GRU neural network of the gate control cycle unit to deeply learn the zero speed characteristic of the gait of the pedestrian, thereby more accurately judging the zero speed state of the pedestrian in different states and different road conditions, improving the correction accuracy of IMU devices and finally improving the position precision of pedestrian navigation. The GRU is an important variant of Long and Short Term Memory neural network (LSTM), and the GRU is a combination of a forgetting gate of LSTM and an external input gate into an update gate (update gate), and mainly functions to control which information of the current input is retained, and the reset gate (reset gate) mainly functions to control the influence of the output at the previous moment on the current input. Since the GRU has only two control gates, the calculation speed of the GRU is much faster than LSTM.
The invention is further illustrated below with reference to the figures and examples.
The first embodiment is as follows:
the invention provides a pedestrian walking zero-speed detection method based on a GRU neural network, which specifically comprises the following steps:
step 1: the 6-axis IMU device is fixed on the sole, and meanwhile, the handheld device can receive and record data x sent by the IMU in real timet
Step 2: current state input IMU data xtHidden layer output h from previous timet-1(when t is 1, ht-10) is output through the update gate, a value between 0 and 1 is output, where 0 represents completely discarded information and 1 represents completely retained information, and the calculation formula is shown in formula (1).
ut=σ(bu+Uuxt+Wuht-1) (1)
Wherein u istRepresenting the updated gate vector at time t, σ being the activation function, buOffset vector, U, representing the update gateuInput weight, W, representing an update gateuIndicating the cyclic weight of the update gate. x is the number oftIMU6 axis sensor input vector, h, representing time tt-1Representing the hidden layer output vector at time t-1.
And step 3: x is the number oftAnd ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and the tanh layer creates a new candidate memory value vector
Figure BDA0001876366820000051
The calculation formulas are shown as formula (2) and formula (3).
rt=σ(br+Urxt+Wrht-1) (2)
Figure BDA0001876366820000052
Wherein r istRepresenting the reset gate vector at time t, brOffset vector, U, representing reset gaterRepresenting the input weight of the reset gate, WrA cyclic weight of the reset gate is represented,
Figure BDA0001876366820000053
representing a vector of candidate values at time t, bsOffset vector, U, representing candidate memory cellsRepresenting input weights, W, of candidate memory cellssRepresents the round-robin weight of the candidate memory cell, and tanh represents the activation function.
And 4, step 4: the output h of the GRU unit is obtained by weighted average of the candidate memory vector and the output vector of the hidden layer at the previous moment by using the update gate as a weight vectortThe calculation formula is shown in formula (4).
Figure BDA0001876366820000054
Where U represents the update gate vector, r represents the reset gate vector, b represents the offset vector, U represents the input weight, and W represents the cyclic weight. x is the number oftRepresenting the input vector at time t, htRepresenting the output vector at time t.
And 5: and (4) taking the IMU data in the first step as an input vector of the algorithm, and taking a ground zero-velocity label as a true value to train the algorithm built in the second step to the fourth step. A total of 150 sets of data were trained on the above model, 50 sets of data were used for validation, each set of data having a step length of about 400 meters. After the training and verification steps are completed, all the weights in the GRU reach the best, and the model can be used for carrying out pedestrian walking zero-speed detection and judgment on newly acquired data.
Fig. 1 and 2 show the test results of the pedestrian walking zero speed detection method provided by the invention, and the results show that the pedestrian positioning precision is higher by the invention. The test is carried out on a runway of a standard stadium, an IMU device is worn on the foot of a tested person and walks for about 1km according to a fixed route, after the test, the track of the tested person is calculated according to a zero-speed detection algorithm and an inertial navigation algorithm provided by the patent, the error of the track is evaluated, and the error of the track in the horizontal direction is less than 4 m. Fig. 1 is a schematic diagram of a pedestrian trajectory route, and fig. 2 is a diagram of projecting a route trajectory on a google map.
Example two:
the invention also provides a pedestrian walking zero-speed detection device based on the GRU neural network, as shown in fig. 3, the device comprises:
a data receiving unit for receiving and recording the data x sent by the IMU in real timet
Update gate vector calculation Unit, data x input at Current StatetData h output from the hidden layer at the previous momentt-1Outputting a value between 0 and 1 through an updating gate for calculating to obtain an updating gate vector ut
A unit for calculating a reset gate vector and a candidate memory value vector, data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1 for calculating to obtain a reset gate vector rtWhile the tanh layer creates a new candidate memory value vector
Figure BDA0001876366820000061
A GRU output vector calculation unit for updating the gate vector utAs a weight vector, a candidate memory value vector
Figure BDA0001876366820000062
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
A pedestrian walking zero-speed detection unit for selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
Example three:
the invention also provides a memory, in which a computer program is stored, the computer program performing the steps of:
receiving and recording data x sent by IMU in real timet
Data x of current state inputtData h output from the hidden layer at the previous momentt-1Outputting a value between 0 and 1 through an updating gate, and calculating to obtain an updating gate vector ut
Data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and a reset gate vector r is obtained through calculationtWhile the tanh layer creates a new candidate memory value vector
Figure BDA0001876366820000071
The gate vector u will be updatedtAs a weight vector, a candidate memory value vector
Figure BDA0001876366820000072
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
Selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
The invention utilizes the GRU recurrent neural network to detect the gait zero speed of the pedestrian, and the method can effectively improve the accuracy of zero speed detection of the pedestrian in different states, reduce the accumulated error of IMU devices and improve the performance of an algorithm for positioning the pedestrian.
Although the present invention has been described with reference to the preferred embodiments, it is not intended to limit the present invention, and those skilled in the art can make variations and modifications of the present invention without departing from the spirit and scope of the present invention by using the methods and technical contents disclosed above.

Claims (11)

1. A pedestrian walking zero-speed detection method based on a GRU neural network is characterized in that the GRU comprises an update gate and a reset gate, and the method comprises the following steps:
receiving and recording data x sent by IMU in real timet
Data x of current state inputtData h output from the hidden layer at the previous momentt-1Outputting a value between 0 and 1 through an updating gate, and calculating to obtain an updating gate vector ut
Data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and a reset gate vector r is obtained through calculationtWhile the tanh layer creates a new candidate memory value vector
Figure FDA0001876366810000013
The gate vector u will be updatedtAs a weight vector, a candidate memory value vector
Figure FDA0001876366810000014
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
Selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
2. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 1, wherein the IMU is fixed on the sole, and data x sent by the IMU is received and recorded in real time through a handheld devicet
3. The GRU neural network-based pedestrian walking zero-speed detection method of claim 2, wherein the IMU is a 6-axis IMU device.
4. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 1, wherein the update gate vector utThe calculation formula is as follows:
ut=σ(bu+Uuxt+Wuht-1)
wherein u istRepresenting the updated gate vector at time t, σ being the activation function, buOffset vector, U, representing the update gateuInput weight, W, representing an update gateuIndicating the cyclic weight of the update gate, xtData, h, from IMU at time tt-1Representing the data output by the hidden layer at time t-1.
5. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 4, wherein the reset gate vector rtThe calculation formula is as follows:
rt=σ(br+Urxt+Wrht-1)
the candidate memory value vector
Figure FDA0001876366810000011
The calculation formula is as follows:
Figure FDA0001876366810000012
wherein r istRepresenting the reset gate vector at time t, brOffset vector, U, representing reset gaterRepresenting the input weight of the reset gate, WrA cyclic weight of the reset gate is represented,
Figure FDA0001876366810000021
represents the candidate memory value direction at time tAmount bsOffset vector, U, representing candidate memory cellsRepresenting input weights, W, of candidate memory cellssRepresents the round-robin weight of the candidate memory cell, and tanh represents the activation function.
6. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 5, wherein an output vector h of the GRU unittThe calculation formula is as follows:
Figure FDA0001876366810000022
wherein h istRepresenting the output vector of the GRU unit at time t.
7. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 6, wherein different data x are selectedtAnd (4) as an input vector, taking the ground zero-speed label as a true value, repeating the steps, and performing GRU training and verification.
8. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 7, wherein 150 groups of data are selected for GRU training, and 50 groups of data are selected for GRU verification.
9. The GRU neural network-based pedestrian walking zero-speed detection method as claimed in claim 8, wherein the walking length of each set of data is 400 meters.
10. A pedestrian walking zero-speed detection device based on a GRU neural network is characterized by comprising:
a data receiving unit for receiving and recording the data x sent by the IMU in real timet
Update gate vector calculation Unit, data x input at Current StatetData h output from the hidden layer at the previous momentt-1Output one through the refresh gateA value between 0 and 1 for calculating an updated gate vector ut
A unit for calculating a reset gate vector and a candidate memory value vector, data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1 for calculating to obtain a reset gate vector rtWhile the tanh layer creates a new candidate memory value vector
Figure FDA0001876366810000023
A GRU output vector calculation unit for updating the gate vector utAs a weight vector, a candidate memory value vector htAnd the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
A pedestrian walking zero-speed detection unit for selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
11. A memory storing a computer program, the computer program performing the steps of:
receiving and recording data x sent by IMU in real timet
Data x of current state inputtData h output from the hidden layer at the previous momentt-1Outputting a value between 0 and 1 through an updating gate, and calculating to obtain an updating gate vector ut
Data xtAnd data ht-1The sigmoid layer entering the reset gate outputs a value between 0 and 1, and a reset gate vector r is obtained through calculationtWhile the tanh layer creates a new candidate memory value vector
Figure FDA0001876366810000031
The gate vector u will be updatedtAs weight vector, candidateVector of selected memory values
Figure FDA0001876366810000032
And the data h output by the hidden layer at the previous momentt-1Obtaining output vector h of GRU unit by weighted averaget
Selecting different data xtAnd repeating the steps as an input vector, carrying out GRU training and verification to obtain an optimal GRU model, and carrying out zero walking speed detection and judgment on the acquired data through the optimal GRU model.
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JIHEON KANG等: "Smartphone-Based Traveled Distance Estimation Using Individual Walking Patterns for Indoor Localization", 《SENSORS (BASEL, SWITZERLAND)》 *
MINGYANG WANG等: "Human body and limb motion recognition via stacked gated recurrent units netwok", 《IET RADAR,SONAR AND NAVIGATION》 *

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CN112578419A (en) * 2020-11-24 2021-03-30 南京邮电大学 GPS data reconstruction method based on GRU network and Kalman filtering
CN112578419B (en) * 2020-11-24 2023-12-12 南京邮电大学 GPS data reconstruction method based on GRU network and Kalman filtering
CN113570129A (en) * 2021-07-20 2021-10-29 武汉钢铁有限公司 Method for predicting strip steel pickling concentration and computer readable storage medium
CN114019182A (en) * 2021-11-04 2022-02-08 苏州挚途科技有限公司 Zero-speed state detection method and device and electronic equipment
CN114019182B (en) * 2021-11-04 2024-02-02 苏州挚途科技有限公司 Zero-speed state detection method and device and electronic equipment

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