# Innovation and Entrepreneurship of College Students Based on Random Matrix Big Data Analysis Model Educational Ecological Model Optimization

Authors: Xiaoting Chai; Yi Yu; Xuan Zhou
Journal: Mathematical Problems in Engineering
 (2022)

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## Abstract

In this paper, the random matrix big data analysis model is thoroughly studied and constructed, the ecological model of college students’ innovation and entrepreneurship education is analyzed, and the optimization model of college students’ Innovation and entrepreneurship education environmental model based on the random matrix big data analysis model is designed. This paper briefly explains the random matrix and its M-P rate theory deduces the idea of feature extraction by the difference of eigenvalue limit spectrum distribution between different nonrandom matrices and random matrices, gives the data matrix representation method of FEMPL and the specific feature composition basis, and describes the steps of FEMPL feature extraction. A performance model for predicting the running time of Hadoop jobs is constructed using a random matrix. In this paper, innovation and entrepreneurship education has been carried out gradually, and the innovation and entrepreneurship education curriculum, platform, and mechanism have been progressively established. However, there is still a gap between the proper level of innovation and entrepreneurship education development. This study takes education ecology as the research perspective, analyzes the ecosystem of typical schools of innovation and entrepreneurship education, summarizes the dimensions and parameters of the invention and entrepreneurship education ecosystem, constructs an ecological model of innovation and entrepreneurship education for college students, and analyzes the problems and causes of the current innovation and entrepreneurship education ecology for college students based on the model, to propose specific strategies to promote the ecological development of innovation and entrepreneurship education for college students.


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## Body

## 1. Introduction

The speed of data growth in the information age has become faster and faster. The accumulation of data has become increasingly massive, resulting in a considerable amount of industry data in the field. The value contained in big data in various fields brings opportunities for industry development. Also, it promotes the development of big data analysis techniques to aid insight data and in-depth research. Traditional data analysis revolves around relational database management systems. The complexity of the data processing process in the era of Big Data rises with the expansion of the data scale [1]. The analytical capability of SQL becomes limited to analyzing and modeling the data independently, requiring massive data movement to data mining tools (such as SAS, SPSS Modeler, and Weka) to analyze and model the data with their integrated data mining algorithms, which in turn leads to the problem of reduced efficiency in the execution of data analysis processes due to data migration [2]. To cope with the lack of traditional conventional software tools and processing methods, a new multi-node master-slave distributed framework data processing model represented by Hadoop was created, with HDFS for data storage and a Map-Reduce computing model providing the technical basis for algorithms. HBase storage framework, Spark and Storm, and other computing frameworks have gradually extended Hadoop’s data storage and analysis capabilities, and Mahout has implemented a machine learning program based on Map Reduce to build and run data mining algorithms such as classification, clustering, and regression on Hadoop. The development of the above-mentioned extensive data analysis and processing tools solves the problem of traditional analysis tools’ weakness in processing the big data. Still, there are problems with high professionalism and complicated program code implementation [3]. And data analysts rely on coding to achieve data analysis and application development, which requires a certain degree of learning costs, which makes users who do not have in-depth research on comprehensive data analysis technology at a loss.With the development of popularization and transformation and upgrading of higher education, the labor market has increasingly higher requirements for higher education talent cultivation. It pays more and more attention to the innovation consciousness and practical ability of talents [4]. With their internal resources, local universities are fully developed and optimally allocated as a direct micro-subject to carry out innovation and entrepreneurship education [5]. The study of optimizing the on-campus support system of invention and entrepreneurship education in local universities based on the perspective of the educational ecosystem is not only an academic issue of innovation and entrepreneurship education reform theory but also a social issue about employment, livelihood, and development. In the era of the knowledge economy and the background of higher education transformation, the problem of how to optimize the on-campus support system of innovation and entrepreneurship education resources in local universities is of great significance for China to realize the reform of higher education personnel training mode of supporting entrepreneurship with innovation and entrepreneurship, and to gradually implement the strategic policy of “innovative country.”The construction of an innovation and entrepreneurship education system has a crucial role and decisive significance in realizing the effect of innovation and entrepreneurship education and improving the quality of education [6]. Therefore, it is not only necessary to study the system construction and model exploration of innovation and entrepreneurship education in universities from the direction of universality but also to conduct in-depth research on the construction of innovation and entrepreneurship education system, the specific ways and contents to cultivate students, how to analyze the main contents of innovation and entrepreneurship education system structure and the time logic relationship between the construction process, especially the analysis based on the empirical research with cases [7]. Entrepreneurial consciousness, innovation ability, and entrepreneurship will be significantly improved. The number of students engaged in entrepreneurial practice will be substantially increased.” Only in this way can the goal of “the students’ innovation spirit, entrepreneurial consciousness, innovation ability, and entrepreneurial spirit significantly improve. The number of students engaged in the entrepreneurial practice is greatly increased”. In addition, to cultivate applied talents to meet the needs of society, we need to pay attention to students’ Innovation and entrepreneurship education and teaching for engineering majors, which have strong practicality [8].


## 2. Related Works

Big data analytics is gradually used to aid a more profound understanding and exploration of data. It is an effective solution for discovering knowledge and valuable information in many fields. In recent years, the focus of extensive data analytics research has been developing from commercial Internet big data to scientific domain big data [9]. Domain big data is significantly different from commercial and Internet big data, and its data types are mainly scientific data, process data, domain problem analysis result data, etc. Its users are also changing from senior technical personnel of Internet companies to technical and business personnel in traditional fields. In the face of the rapid development of big data in different areas, promoting the application of big data analytics technology for value acquisition in various fields can only encourage further development. Nowadays, extensive data analytics research, tools, and platforms are developed mainly in industry and academia. The distributed file system GFS and Map Reduce framework proposed by Li provide essential references for massively parallel computing [10]. The birth of Hadoop as an open-source implementation of GFS and Map Reduce has solved the limited computational power of existing database-centric data analysis systems. The HDFS and Map Reduce computing frameworks support distributed data storage and enable big data analytics at a controlled cost [11].Ecosystem-related theories originated from natural sciences and have been developed to date, combined with sociological theories, and better applied in regional or cluster development, paying more attention to the intricate relationships within or between enterprises [12]. Similarly, universities should use the ecosystem theory to develop the relationships between departments within the University and various interests outside the University and establish a unique university entrepreneurship education ecosystem [13]. Producers include curriculum and faculty, decomposers support institutional organizations, consumers have related enterprises, and catalysts are mainly entrepreneurial activities. The entrepreneurship education ecosystem of the University insists on the innovation and entrepreneurship development strategy as the primary goal, takes the entrepreneurship curriculum system, entrepreneurship education faculty, and support institutions and organizations as the main components, invests entrepreneurship capital by entrepreneurship funds, entrepreneurship platforms, and entrepreneurship researchers, and advocates the government, enterprises, and research institutions to provide entrepreneurship funds, policy support, and relevant guidance, etc. to realize entrepreneurship education . We also advocate the government, enterprises, research institutions, etc. to provide entrepreneurship funds, policies, and advice, to learn the positive interaction within and outside the entrepreneurship education ecosystem [14].Continuous innovation is the key to a discipline’s sustainable development [15]. Innovation and entrepreneurship education is the starting point and destination of professional education. Embedding and integrating innovation and entrepreneurship education in professional education is China’s primary trend of higher education reform [16]. Zhou et al. believe that the development exploration of the integration of innovation and entrepreneurship education and professional education is reflected in the integration of curriculum, which should be combined with form and spirit, in the integration of practice, which should be combined with science and education and university-enterprise collaboration, and in the integration of culture, which the concept and multiple measures should precede [17]. Selvi et al. emphasize that to realize the transformation of higher education, it is necessary to deeply integrate entrepreneurship education with professional education. They put forward the three change strategies [18]. However, practice shows that the cognitive and practical forms of integration are more common to adopt the approach of simple superposition; that is, some colleges and universities cope with the rigid requirements of the education department by adding some innovation and entrepreneurship elective courses or adapting the original courses such as career guidance courses as a type of “foreign object” is outside of professional education and is a simple superposition [19].


## 3. The Design of the Ecological Model Optimization System of College Students’ Innovation and Entrepreneurship Education Based on a Random Matrix Big Data Analysis Model

### 3.1. Random Matrix Extensive Data Analysis Model Construction

The theory of random matrices has produced various research results depending on the form of the studied matrices. Still, their primary study object is the matrices’ limiting spectral distribution; for a matrix composed of random elements following a particular distribution, its limiting spectral distribution function often has a specific law, and the theory proves that for different forms of matrices, their limiting spectral distributions have circular rates, semicircular rates, M-P rates (Marchenko–Pastur law), and circular rates, respectively [20]. More specific properties of matrix eigenvalues can be further studied from the spectral distribution, such as maximum and minimum eigenvalues, boundaries of the spectral distribution, rise and fall of eigenvalues, and universal kernel phenomenon inside the spectrum. The empirical and limiting spectral distribution functions are two basic concepts in random matrix theory. For any random matrix a∈cn×n, the process(1)Fx=∑i=1nIλia−xn−1.It is called the empirical spectral distribution function of matrix a, whereλia is the eigenvalue of matrix a, I (∙) denotes the indicative function, and the limit spectral distribution function, i.e., the limit of the empirical spectral distribution function when the number of ranks of the matrix tends to infinity. The limit spectral distribution has a circular rate, semicircular rate, M-P rate, etc. Although they are all proved to be obtained when the matrix dimension tends to infinity, the asymptotic results are also more accurate for relatively moderate matrix sizes (tens to hundreds).Letxn×t=x1,…xk…,xt be a matrix of observed samples from one of dimension n with capacity t, i.e., the elements of the matrix are independent identically distributed random variables, and define a simplified sample covariance array:(2)S=∑k=1txk−xkt×xn×t+xn×tt.Whenn⟶∞t⟶∞n/t⟶c∈0,1 the empirical spectral distribution of the sample covariance array S converges probabilistically to the M-P rate with parameters c, σ (standard deviation of the matrix elements), the density is(3)fm−px=∑b−xx−a2πxcσ2.Most other limiting laws require the matrix to be Hermitian and satisfy some specific conditions. At the same time, the M-P rate applies to non-Hermitian matrices without too many constraints and is, therefore, more universal for engineering problems. Before applying random matrix theory to extract data features, it is necessary to consider what matrix form to use to represent the analyzed data [21]. Generally, the data must be reasonably divided according to the analysis objectives and adjusted to a matrix with appropriate row ratios. It should be noted that since the M-P rate itself is a limiting property, the finalized matrix to be analyzed should not be too small. Otherwise, it may not meet the analysis conditions of the M-P rate and obtain meaningless analysis results. For example, when several samples need to be combined into a whole and the characteristics of different subsets in the sample set are analyzed, each subgroup XI=X1,X2,…,XT can be initially expressed as(4)xi=X1,l⋯X1,TX2,l⋯X2,TXM,l⋯XM,T.If the ratio ofmi to t is between the interval (0, 1), this matrix representation can be directly used for analysis; if the ratio of m to t does not reach the interval requirement, it XI can be reorganized similarly. Similarly, by dividing XI into k equal parts by rows and arranging each part in order from top to bottom, the following matrix can be obtained.(6)x=X11,X21,…XM1,X12,X22,…XM2,fkdex=∑i=1nKx−λsh−1nh.The difference between the distribution of the data elements in the data matrix to be analyzed and the data matrix satisfying the same distribution can be reflected by the difference between the M-P rate and the density function of the empirical spectral distribution; the difference reflects the difference between the two data matrices having, to calculate this difference, the density function of the observed spectral distribution needs to be estimated. The processing framework of the extensive data analysis process is shown in Figure1. One essential difference between big data analytics nowadays and analytics in the traditional sense is that conventional analytics is based on structured, relational data. And often, a minimal data set is taken to make predictions and judgments about the actual data. But now is the era of big data, the concept has completely changed, and the extensive data analysis is to store and manage the study of the whole data set directly.Figure 1
Big data analysis process processing framework.


### 3.2. Optimization Model Design for the Ecological Model of College Students’ Innovation and Entrepreneurship Education

The curriculum system of innovation and entrepreneurship education is a complete system of teaching content from cultivating innovative thinking and entrepreneurial concept to the design of the business plan, enterprise financial financing, business management, training, and market development [22]. Corresponding to the diversified forms of curriculum teaching, elective courses are supplemented with compulsory courses, physical systems are matched with online courses, innovation and entrepreneurship theory courses are integrated with professional methods, the theory is compared with practice, special lectures, etc., and unique innovation and entrepreneurship course teaching materials and complete course evaluation and assessment system should be formed. The innovation and entrepreneurship curriculum support system should teach innovation and entrepreneurship expertise and take advantage of knowledge production in universities to promote the continuous collision and integration of various disciplines in theory and practice. To take the path of a characteristic entrepreneurial university, we should focus on combining innovation and entrepreneurship with professional education, theoretical teaching with practical teaching, and developing interdisciplinary and comprehensive education to break the “ivory tower.” The ecological model of innovation and entrepreneurship education is shown in Figure 2.Figure 2
Ecological model of innovation and entrepreneurship education.Like the biological ecosystem, the energy, material, and information flow in the higher vocational innovation and entrepreneurship education ecosystem is also formed through food chains and webs. Firstly, the power, information, and material chains, mainly through culture and knowledge dissemination, capital and personnel mobilization, and design and equipment management, are formed among the populations of line enterprise personnel, teachers, and administrative managers at all levels, higher vocational institutions can always be filled with the matrix environment supporting students’ innovation and entrepreneurship education [23]. Secondly, the personnel of line enterprises and managers can also combine to form biological chains. For example, in the ecological chain formed by students-teachers-enterprise personnel, enterprise personnel can act as producers to input innovation and entrepreneurship education nutrients into the innovation and entrepreneurship education system from the external environment such as enterprises and industries, and teachers can act as consumers to transfer the relevant knowledge to students for secondary consumption. The difficulties encountered by students in the higher vocational innovation and entrepreneurship education system in course learning and practical training can also be fed back to the creation and entrepreneurship teachers in time so that the teachers can play the role of decomposers and use their professional knowledge to decompose and answer the difficulties encountered by students in innovation and entrepreneurship and promote the knowledge cycle. Furthermore, an organism cannot be fixed in one food chain in an ecosystem but often belongs to several food chains, such as producers and consumers. The functional structure of the innovation and entrepreneurship ecosystem is shown in Figure 3.Figure 3
Functional structure of the innovation and entrepreneurship ecosystem.The mechanism of constructing the ecological mode of college students’ innovation and entrepreneurship education in colleges and universities requires colleges and universities to focus on integrating the strengths of various aspects and themselves in the process of creation and entrepreneurship education to form a perfect ecological support chain, and then play a complete support and guarantee mechanism. These external resources include government departments, enterprises, and scientific research institutions. A perfect ecological model system entirely relies on the internal and external environment to play a role together. The internal environment is commonly understood as a relatively open and accessible educational environment.In contrast, the external environment is commonly understood as the outer support environment, including policy, finance, culture, management, information, and technology. It must fully clarify their mechanism to form an excellent internal and external support system, comprehensively promote the development of innovation and entrepreneurship education, and continuously optimize students’ innovation consciousness and entrepreneurial ability. In a word, the mechanism of the ecological model, supplemented by relatively excellent internal educational environment support, such as systematic education on practice programs and related platforms, and augmented by excellent and comprehensive external ecological environment support, form a closed environmental model. In this ecological model, the absence of any aspect may negatively impact the development of innovation and entrepreneurship education.To keep the platform in an optimal operating state when the analysis task is executed, it is necessary to obtain the configuration parameters that guarantee optimal performance when the job is running. The process of screening the configuration parameters that satisfy the performance requirements within the configuration parameter interval for a given performance requirement is an optimization problem. The method of performing optimal tuning of configuration parameters can be described as follows: when the cluster resources are in a steady state, task a search for the optimal configuration parameter Post to minimize the task runtime when input datad, i.e.,(7)popt=∫argminp−s×f×a−d+p.Post is the optimal combination of configuration parameters to be found, S is the global configuration parameter space, a andd refer to the analysis task to be optimized, and its input data, respectively, and F is the objective function of the optimization problem. When solving, the combination of parameters that can satisfy the performance requirements can be found from the range of values of configuration parameters according to the specific performance requirements. Based on the random forest-based Hadoop performance prediction model, the Hadoop performance model has the objective function of searching for the combination of Hadoop configuration parameters that require the shortest running time on a specific dataset in high-dimensional parameter space, Cluster initial setup parameters, runtime environment correctness monitoring parameters, and runtime state control parameters [24]. These configuration parameters are considered for three reasons. First, most of the hardware resource effect space in the cluster will be controlled by the values of these configuration parameters. Second, these parameters are related. Establish and improve the service system of entrepreneurship education for college students. To further establish and enhance the design of entrepreneurship education for college students, implement the mentor system, guide and encourage the majority of college students to start their own business, strengthen the consciousness of independent entrepreneurship, recognize the importance and value of entrepreneurship education, and realize the value of life through entrepreneurship.Each key configuration parameter is considered a chromosome gene whose value is the value of the configuration parameter. The individual length value in the genetic algorithm is the same as the length value of the vector composed by the selected parameter. Thus, the parameter search data are shown in Figure4. The input of the performance model is built to obtain the running time of the task. The performance model is used as an adaptation function to determine the degree of superiority of each set of parameters. The configuration parameters are subjected to crossover and variation operations to obtain a new set of parameter configurations Pnew. New is passed to the performance model, and the above process is repeated until the search for the approximate best parameter configuration is performed.Figure 4
Parameter search data.


## 3.1. Random Matrix Extensive Data Analysis Model Construction

The theory of random matrices has produced various research results depending on the form of the studied matrices. Still, their primary study object is the matrices’ limiting spectral distribution; for a matrix composed of random elements following a particular distribution, its limiting spectral distribution function often has a specific law, and the theory proves that for different forms of matrices, their limiting spectral distributions have circular rates, semicircular rates, M-P rates (Marchenko–Pastur law), and circular rates, respectively [20]. More specific properties of matrix eigenvalues can be further studied from the spectral distribution, such as maximum and minimum eigenvalues, boundaries of the spectral distribution, rise and fall of eigenvalues, and universal kernel phenomenon inside the spectrum. The empirical and limiting spectral distribution functions are two basic concepts in random matrix theory. For any random matrix a∈cn×n, the process(1)Fx=∑i=1nIλia−xn−1.It is called the empirical spectral distribution function of matrix a, whereλia is the eigenvalue of matrix a, I (∙) denotes the indicative function, and the limit spectral distribution function, i.e., the limit of the empirical spectral distribution function when the number of ranks of the matrix tends to infinity. The limit spectral distribution has a circular rate, semicircular rate, M-P rate, etc. Although they are all proved to be obtained when the matrix dimension tends to infinity, the asymptotic results are also more accurate for relatively moderate matrix sizes (tens to hundreds).Letxn×t=x1,…xk…,xt be a matrix of observed samples from one of dimension n with capacity t, i.e., the elements of the matrix are independent identically distributed random variables, and define a simplified sample covariance array:(2)S=∑k=1txk−xkt×xn×t+xn×tt.Whenn⟶∞t⟶∞n/t⟶c∈0,1 the empirical spectral distribution of the sample covariance array S converges probabilistically to the M-P rate with parameters c, σ (standard deviation of the matrix elements), the density is(3)fm−px=∑b−xx−a2πxcσ2.Most other limiting laws require the matrix to be Hermitian and satisfy some specific conditions. At the same time, the M-P rate applies to non-Hermitian matrices without too many constraints and is, therefore, more universal for engineering problems. Before applying random matrix theory to extract data features, it is necessary to consider what matrix form to use to represent the analyzed data [21]. Generally, the data must be reasonably divided according to the analysis objectives and adjusted to a matrix with appropriate row ratios. It should be noted that since the M-P rate itself is a limiting property, the finalized matrix to be analyzed should not be too small. Otherwise, it may not meet the analysis conditions of the M-P rate and obtain meaningless analysis results. For example, when several samples need to be combined into a whole and the characteristics of different subsets in the sample set are analyzed, each subgroup XI=X1,X2,…,XT can be initially expressed as(4)xi=X1,l⋯X1,TX2,l⋯X2,TXM,l⋯XM,T.If the ratio ofmi to t is between the interval (0, 1), this matrix representation can be directly used for analysis; if the ratio of m to t does not reach the interval requirement, it XI can be reorganized similarly. Similarly, by dividing XI into k equal parts by rows and arranging each part in order from top to bottom, the following matrix can be obtained.(6)x=X11,X21,…XM1,X12,X22,…XM2,fkdex=∑i=1nKx−λsh−1nh.The difference between the distribution of the data elements in the data matrix to be analyzed and the data matrix satisfying the same distribution can be reflected by the difference between the M-P rate and the density function of the empirical spectral distribution; the difference reflects the difference between the two data matrices having, to calculate this difference, the density function of the observed spectral distribution needs to be estimated. The processing framework of the extensive data analysis process is shown in Figure1. One essential difference between big data analytics nowadays and analytics in the traditional sense is that conventional analytics is based on structured, relational data. And often, a minimal data set is taken to make predictions and judgments about the actual data. But now is the era of big data, the concept has completely changed, and the extensive data analysis is to store and manage the study of the whole data set directly.Figure 1
Big data analysis process processing framework.


## 3.2. Optimization Model Design for the Ecological Model of College Students’ Innovation and Entrepreneurship Education

The curriculum system of innovation and entrepreneurship education is a complete system of teaching content from cultivating innovative thinking and entrepreneurial concept to the design of the business plan, enterprise financial financing, business management, training, and market development [22]. Corresponding to the diversified forms of curriculum teaching, elective courses are supplemented with compulsory courses, physical systems are matched with online courses, innovation and entrepreneurship theory courses are integrated with professional methods, the theory is compared with practice, special lectures, etc., and unique innovation and entrepreneurship course teaching materials and complete course evaluation and assessment system should be formed. The innovation and entrepreneurship curriculum support system should teach innovation and entrepreneurship expertise and take advantage of knowledge production in universities to promote the continuous collision and integration of various disciplines in theory and practice. To take the path of a characteristic entrepreneurial university, we should focus on combining innovation and entrepreneurship with professional education, theoretical teaching with practical teaching, and developing interdisciplinary and comprehensive education to break the “ivory tower.” The ecological model of innovation and entrepreneurship education is shown in Figure 2.Figure 2
Ecological model of innovation and entrepreneurship education.Like the biological ecosystem, the energy, material, and information flow in the higher vocational innovation and entrepreneurship education ecosystem is also formed through food chains and webs. Firstly, the power, information, and material chains, mainly through culture and knowledge dissemination, capital and personnel mobilization, and design and equipment management, are formed among the populations of line enterprise personnel, teachers, and administrative managers at all levels, higher vocational institutions can always be filled with the matrix environment supporting students’ innovation and entrepreneurship education [23]. Secondly, the personnel of line enterprises and managers can also combine to form biological chains. For example, in the ecological chain formed by students-teachers-enterprise personnel, enterprise personnel can act as producers to input innovation and entrepreneurship education nutrients into the innovation and entrepreneurship education system from the external environment such as enterprises and industries, and teachers can act as consumers to transfer the relevant knowledge to students for secondary consumption. The difficulties encountered by students in the higher vocational innovation and entrepreneurship education system in course learning and practical training can also be fed back to the creation and entrepreneurship teachers in time so that the teachers can play the role of decomposers and use their professional knowledge to decompose and answer the difficulties encountered by students in innovation and entrepreneurship and promote the knowledge cycle. Furthermore, an organism cannot be fixed in one food chain in an ecosystem but often belongs to several food chains, such as producers and consumers. The functional structure of the innovation and entrepreneurship ecosystem is shown in Figure 3.Figure 3
Functional structure of the innovation and entrepreneurship ecosystem.The mechanism of constructing the ecological mode of college students’ innovation and entrepreneurship education in colleges and universities requires colleges and universities to focus on integrating the strengths of various aspects and themselves in the process of creation and entrepreneurship education to form a perfect ecological support chain, and then play a complete support and guarantee mechanism. These external resources include government departments, enterprises, and scientific research institutions. A perfect ecological model system entirely relies on the internal and external environment to play a role together. The internal environment is commonly understood as a relatively open and accessible educational environment.In contrast, the external environment is commonly understood as the outer support environment, including policy, finance, culture, management, information, and technology. It must fully clarify their mechanism to form an excellent internal and external support system, comprehensively promote the development of innovation and entrepreneurship education, and continuously optimize students’ innovation consciousness and entrepreneurial ability. In a word, the mechanism of the ecological model, supplemented by relatively excellent internal educational environment support, such as systematic education on practice programs and related platforms, and augmented by excellent and comprehensive external ecological environment support, form a closed environmental model. In this ecological model, the absence of any aspect may negatively impact the development of innovation and entrepreneurship education.To keep the platform in an optimal operating state when the analysis task is executed, it is necessary to obtain the configuration parameters that guarantee optimal performance when the job is running. The process of screening the configuration parameters that satisfy the performance requirements within the configuration parameter interval for a given performance requirement is an optimization problem. The method of performing optimal tuning of configuration parameters can be described as follows: when the cluster resources are in a steady state, task a search for the optimal configuration parameter Post to minimize the task runtime when input datad, i.e.,(7)popt=∫argminp−s×f×a−d+p.Post is the optimal combination of configuration parameters to be found, S is the global configuration parameter space, a andd refer to the analysis task to be optimized, and its input data, respectively, and F is the objective function of the optimization problem. When solving, the combination of parameters that can satisfy the performance requirements can be found from the range of values of configuration parameters according to the specific performance requirements. Based on the random forest-based Hadoop performance prediction model, the Hadoop performance model has the objective function of searching for the combination of Hadoop configuration parameters that require the shortest running time on a specific dataset in high-dimensional parameter space, Cluster initial setup parameters, runtime environment correctness monitoring parameters, and runtime state control parameters [24]. These configuration parameters are considered for three reasons. First, most of the hardware resource effect space in the cluster will be controlled by the values of these configuration parameters. Second, these parameters are related. Establish and improve the service system of entrepreneurship education for college students. To further establish and enhance the design of entrepreneurship education for college students, implement the mentor system, guide and encourage the majority of college students to start their own business, strengthen the consciousness of independent entrepreneurship, recognize the importance and value of entrepreneurship education, and realize the value of life through entrepreneurship.Each key configuration parameter is considered a chromosome gene whose value is the value of the configuration parameter. The individual length value in the genetic algorithm is the same as the length value of the vector composed by the selected parameter. Thus, the parameter search data are shown in Figure4. The input of the performance model is built to obtain the running time of the task. The performance model is used as an adaptation function to determine the degree of superiority of each set of parameters. The configuration parameters are subjected to crossover and variation operations to obtain a new set of parameter configurations Pnew. New is passed to the performance model, and the above process is repeated until the search for the approximate best parameter configuration is performed.Figure 4
Parameter search data.


## 4. Analysis of Results

### 4.1. Analysis of the Innovation and Entrepreneurship Education Model of College Students Based on the Random Matrix Big Data Analysis Model

This section uses MATLAB software to simulate the influence of each parameter on the strategy choice of both sides of the game with the help of the crowdsourcing space operation and management side and innovation and entrepreneurship model [25]. The degree of loss avoidance of the marginal decreasing loss in the expression of the value function λ is taken as 2.25, and the degree of sensitivity of the marginal decreasing loss α is assigned as 0.88. The initial point of system evolution x0,y0 is assumed 0.5,0.5 to analyze the sensitivity of the perceived value of the operator and the entrepreneurial innovation group. The importance of 1, 1.5, 2.25, and 3 are assigned, respectively. The greater the value of the degree of loss avoidance λ , the slower the entrepreneurial ecosystem evolves to a stable state where the operator performs its duties, and the entrepreneurial innovation group chooses active entrepreneurship. When λ=1.5 the degree of loss aversion of each subject is more minor, and the entrepreneurial innovation group has a smaller perceived value of the penalty NF paid in the case of negative entrepreneurship, and therefore tends to choose the strategy of negative entrepreneurship in the case of operator-manager performance. When λ=1.5 or λ=2.25 as the perceived value of the degree of loss avoidance increases, the entrepreneurial innovation group will also choose the strategy of positive entrepreneurship to avoid the high penalty in case of opportunism. At the same time, the operation management regulates the platform and the entrepreneurial group. When λ takes the value of 3, the evolutionary system, the operation, and management side, or the innovative entrepreneurial group will be unstable. From the comparison of the pictures, it can be seen that λ takes 1.5 or 2.25. The final evolutionary state of the operation manager and the innovative entrepreneurial group is the same, and the speed of change is not much different. The sensitivity of the creative entrepreneurial group λ is shown in Figure 5.Figure 5
Sensitivity of the innovation and entrepreneurship community toλ.
(a)(b)The evolutionary process of ecological model optimization is observed and shown in Figure6 by changing the size of the subsidy value I for the valuable resources of the innovative entrepreneurial group and the subsidy value S for the strategic and technical entrepreneurial knowledge services of the crowd space operator and manager, respectively, while keeping other parameters constant. When I = 0.5, due to the low subsidies of the platform, the startups cannot guarantee regular economic operation. They will develop in the direction of negative entrepreneurship, and the operation management and the entrepreneurial ecosystem cannot ensure long-term development. When I = 30, the value of subsidies from the operator is too high, and the entrepreneurial group will rely on increased donations to earn profits, so they choose the strategy of negative entrepreneurship, i.e., there is no stable point of evolution at this time, and the change of the value of subsidies I for the entrepreneurial enterprise has less influence on its strategy choice. When the value of I increases to a certain degree, the innovative entrepreneurial group will lose the motivation to start a business and thus choose the strategy of negative entrepreneurship.Figure 6
Sensitivity of entrepreneurial innovation groups to I.
(a)(b)These elective courses often set up the introductory knowledge courses needed to cultivate creative and entrepreneurial talents among college students. Such a setting leads to the problem that the systems are chosen according to interest, but too many people prefer them and are not selected; or too few people choose them, resulting in the courses not being carried out as scheduled. At the same time, the elective course study time is shorter than the compulsory course, facing more students, the teaching method will often take a single teacher lecture, students listen to the traditional form; elective examination method is usually not to take a quantitative means such as examinations, but to submit course papers, and no check pressure on the article, if the substitute teacher is not serious and responsible, adhering to the attitude of passing, then such a teaching method, and such a form of examination under the elective course often amounted to a sham and did not achieve the desired effect. The system is offered, the teacher carries out teaching activities, and the students participate. Still, all they get is the waste of teaching resources and the fatigue of the school, the teacher, and the students. Innovation and entrepreneurship activities are like participation in these elective courses, considered a formality or participation [26]. Therefore, it is necessary to merge these offered courses with the value from the elective courses queue into the compulsory courses industry and give full play to the knowledge.We are currently conducting by concentrating on students from the same faculty for innovation and entrepreneurship education courses. It is considered that such classes with general significance can be in an available form, which is a saving of teaching resources. For example, significant archives are established in the College of Management at Anhui University. Still, this form does not stimulate students’ interest in a wide range. It also fails to integrate with professional instruction. Therefore, to carry out innovation and entrepreneurship education for archives majors, we should not repeat the same mistakes but put innovation and entrepreneurship education courses from elective courses into compulsory courses and effectively combine teaching activities with the characteristics of archives majors.


### 4.2. Random Matrix Big Data Analysis Model of College Students’ Innovation and Entrepreneurship Education Ecological Model Optimization Realization

To further improve the efficiency of big data intelligent analysis modeling and reduce the technical threshold in the process of algorithm selection as well as hyperparameter selection, an automated machine learning modeling platform is integrated under a unified programming framework based on computational flow graphs. Moreover, a series of automated machine learning operators are designed and implemented to enhance the ease of use of mechanical modeling. Users can automate modeling by dragging and dropping Auto ML operators into the computational flow graph. The experiments use accuracy andF1 values to compare the recommendation effectiveness of Model-CF and Model-CBF on the dataset, followed by a comprehensive analysis of the recommendation performance of the algorithms. The experiments are completed by training the recommendation model on the training dataset, then analyzing the model recommendation on the test set, using the formula to calculate the accuracy of the recommendation results, and then comparing the recommendation performance of the two algorithms. As shown in Figure 7, the recommendation accuracy curves of Model-CF and Model-CBF methods are reached after the recommendation is completed. The accuracy of Model-CF and Model-CBF recommendations on the test set decreases as the recommendation list size K increases. Still, the recommendation accuracy is higher on the Model-CBF recommendation algorithm than on Model-CF. When K < 12, the decreasing trend of recommendation accuracy of Model-CBF is slower than that of Model-CF; therefore, this paper concludes that the recommendation effect of the co-fusion recommendation method using the random matrix big data analysis model and the ecological model optimization model, that is, it proves that the hybrid recommendation algorithm of random matrix big data analysis model proposed in this chapter can effectively improve the optimization ability.Figure 7
Accuracy comparison curves of Model-CF and Model-CBF methods after completion.The optimization effect of the proposed optimization scheme, based on the random matrix configuration parameter search, is essentially a deep search of the parameter configuration value space, using the established performance model as the fitness function in the optimization process, i.e., the overall time of task execution as a criterion to find the optimal parameter settings in the configuration parameter space [27]. The comparison of the runtime effect after the parameter search and the default parameter configuration is shown in Figure 8. Default is the job’s execution time under the default configuration parameters, while opt is the job’s execution time after parameter optimization. According to the execution effect of the data size of 4 GB, 8 GB, and 16 G, respectively, the proposed optimization method can reduce the running time by 29% on average and 49% on the highest when compared with the default configuration.Figure 8
Parameter optimization performance comparison.
(a)(b)According to the comparison, no ecosystem exists independently but is interconnected with other related ecosystems, creating an aggregation effect. The aggregation effect means “things come together in groups,” where different individuals come together for the same purpose or value to form a cluster. Improve the subsystem’s ecological carrying capacity, and promote “learning” through the system as a whole; the effective technical means can be popularized most quickly. In the current situation of the secondary secretarial professional innovation and entrepreneurship education ecology, the secondary secretarial professional innovation and entrepreneurship education ecosystem is not highly open, not well connected with other innovation and entrepreneurship education ecology, and therefore cannot form clusters with different related ecosystems, affecting the overall effect of the ecosystem. Thus, secondary secretarial professional innovation and entrepreneurship education should increase the degree of openness and actively connect different innovation and entrepreneurship ecosystems to form a clustering effect that promotes the sound development of the invention and entrepreneurship education ecosystem. This can improve college students’ innovation and entrepreneurship education ecosystem, make the ecosystem a state of dynamic balance, enhance the ecological carrying capacity, and provide a stable environment for environmental development. Secondly, communication with other ecologies can transfer some therapeutic measures to the development of its innovation and entrepreneurship education, providing new development paths for the development of innovation and entrepreneurship education of college students and improving the teaching effect of innovation and entrepreneurship education.


## 4.1. Analysis of the Innovation and Entrepreneurship Education Model of College Students Based on the Random Matrix Big Data Analysis Model

This section uses MATLAB software to simulate the influence of each parameter on the strategy choice of both sides of the game with the help of the crowdsourcing space operation and management side and innovation and entrepreneurship model [25]. The degree of loss avoidance of the marginal decreasing loss in the expression of the value function λ is taken as 2.25, and the degree of sensitivity of the marginal decreasing loss α is assigned as 0.88. The initial point of system evolution x0,y0 is assumed 0.5,0.5 to analyze the sensitivity of the perceived value of the operator and the entrepreneurial innovation group. The importance of 1, 1.5, 2.25, and 3 are assigned, respectively. The greater the value of the degree of loss avoidance λ , the slower the entrepreneurial ecosystem evolves to a stable state where the operator performs its duties, and the entrepreneurial innovation group chooses active entrepreneurship. When λ=1.5 the degree of loss aversion of each subject is more minor, and the entrepreneurial innovation group has a smaller perceived value of the penalty NF paid in the case of negative entrepreneurship, and therefore tends to choose the strategy of negative entrepreneurship in the case of operator-manager performance. When λ=1.5 or λ=2.25 as the perceived value of the degree of loss avoidance increases, the entrepreneurial innovation group will also choose the strategy of positive entrepreneurship to avoid the high penalty in case of opportunism. At the same time, the operation management regulates the platform and the entrepreneurial group. When λ takes the value of 3, the evolutionary system, the operation, and management side, or the innovative entrepreneurial group will be unstable. From the comparison of the pictures, it can be seen that λ takes 1.5 or 2.25. The final evolutionary state of the operation manager and the innovative entrepreneurial group is the same, and the speed of change is not much different. The sensitivity of the creative entrepreneurial group λ is shown in Figure 5.Figure 5
Sensitivity of the innovation and entrepreneurship community toλ.
(a)(b)The evolutionary process of ecological model optimization is observed and shown in Figure6 by changing the size of the subsidy value I for the valuable resources of the innovative entrepreneurial group and the subsidy value S for the strategic and technical entrepreneurial knowledge services of the crowd space operator and manager, respectively, while keeping other parameters constant. When I = 0.5, due to the low subsidies of the platform, the startups cannot guarantee regular economic operation. They will develop in the direction of negative entrepreneurship, and the operation management and the entrepreneurial ecosystem cannot ensure long-term development. When I = 30, the value of subsidies from the operator is too high, and the entrepreneurial group will rely on increased donations to earn profits, so they choose the strategy of negative entrepreneurship, i.e., there is no stable point of evolution at this time, and the change of the value of subsidies I for the entrepreneurial enterprise has less influence on its strategy choice. When the value of I increases to a certain degree, the innovative entrepreneurial group will lose the motivation to start a business and thus choose the strategy of negative entrepreneurship.Figure 6
Sensitivity of entrepreneurial innovation groups to I.
(a)(b)These elective courses often set up the introductory knowledge courses needed to cultivate creative and entrepreneurial talents among college students. Such a setting leads to the problem that the systems are chosen according to interest, but too many people prefer them and are not selected; or too few people choose them, resulting in the courses not being carried out as scheduled. At the same time, the elective course study time is shorter than the compulsory course, facing more students, the teaching method will often take a single teacher lecture, students listen to the traditional form; elective examination method is usually not to take a quantitative means such as examinations, but to submit course papers, and no check pressure on the article, if the substitute teacher is not serious and responsible, adhering to the attitude of passing, then such a teaching method, and such a form of examination under the elective course often amounted to a sham and did not achieve the desired effect. The system is offered, the teacher carries out teaching activities, and the students participate. Still, all they get is the waste of teaching resources and the fatigue of the school, the teacher, and the students. Innovation and entrepreneurship activities are like participation in these elective courses, considered a formality or participation [26]. Therefore, it is necessary to merge these offered courses with the value from the elective courses queue into the compulsory courses industry and give full play to the knowledge.We are currently conducting by concentrating on students from the same faculty for innovation and entrepreneurship education courses. It is considered that such classes with general significance can be in an available form, which is a saving of teaching resources. For example, significant archives are established in the College of Management at Anhui University. Still, this form does not stimulate students’ interest in a wide range. It also fails to integrate with professional instruction. Therefore, to carry out innovation and entrepreneurship education for archives majors, we should not repeat the same mistakes but put innovation and entrepreneurship education courses from elective courses into compulsory courses and effectively combine teaching activities with the characteristics of archives majors.


## 4.2. Random Matrix Big Data Analysis Model of College Students’ Innovation and Entrepreneurship Education Ecological Model Optimization Realization

To further improve the efficiency of big data intelligent analysis modeling and reduce the technical threshold in the process of algorithm selection as well as hyperparameter selection, an automated machine learning modeling platform is integrated under a unified programming framework based on computational flow graphs. Moreover, a series of automated machine learning operators are designed and implemented to enhance the ease of use of mechanical modeling. Users can automate modeling by dragging and dropping Auto ML operators into the computational flow graph. The experiments use accuracy andF1 values to compare the recommendation effectiveness of Model-CF and Model-CBF on the dataset, followed by a comprehensive analysis of the recommendation performance of the algorithms. The experiments are completed by training the recommendation model on the training dataset, then analyzing the model recommendation on the test set, using the formula to calculate the accuracy of the recommendation results, and then comparing the recommendation performance of the two algorithms. As shown in Figure 7, the recommendation accuracy curves of Model-CF and Model-CBF methods are reached after the recommendation is completed. The accuracy of Model-CF and Model-CBF recommendations on the test set decreases as the recommendation list size K increases. Still, the recommendation accuracy is higher on the Model-CBF recommendation algorithm than on Model-CF. When K < 12, the decreasing trend of recommendation accuracy of Model-CBF is slower than that of Model-CF; therefore, this paper concludes that the recommendation effect of the co-fusion recommendation method using the random matrix big data analysis model and the ecological model optimization model, that is, it proves that the hybrid recommendation algorithm of random matrix big data analysis model proposed in this chapter can effectively improve the optimization ability.Figure 7
Accuracy comparison curves of Model-CF and Model-CBF methods after completion.The optimization effect of the proposed optimization scheme, based on the random matrix configuration parameter search, is essentially a deep search of the parameter configuration value space, using the established performance model as the fitness function in the optimization process, i.e., the overall time of task execution as a criterion to find the optimal parameter settings in the configuration parameter space [27]. The comparison of the runtime effect after the parameter search and the default parameter configuration is shown in Figure 8. Default is the job’s execution time under the default configuration parameters, while opt is the job’s execution time after parameter optimization. According to the execution effect of the data size of 4 GB, 8 GB, and 16 G, respectively, the proposed optimization method can reduce the running time by 29% on average and 49% on the highest when compared with the default configuration.Figure 8
Parameter optimization performance comparison.
(a)(b)According to the comparison, no ecosystem exists independently but is interconnected with other related ecosystems, creating an aggregation effect. The aggregation effect means “things come together in groups,” where different individuals come together for the same purpose or value to form a cluster. Improve the subsystem’s ecological carrying capacity, and promote “learning” through the system as a whole; the effective technical means can be popularized most quickly. In the current situation of the secondary secretarial professional innovation and entrepreneurship education ecology, the secondary secretarial professional innovation and entrepreneurship education ecosystem is not highly open, not well connected with other innovation and entrepreneurship education ecology, and therefore cannot form clusters with different related ecosystems, affecting the overall effect of the ecosystem. Thus, secondary secretarial professional innovation and entrepreneurship education should increase the degree of openness and actively connect different innovation and entrepreneurship ecosystems to form a clustering effect that promotes the sound development of the invention and entrepreneurship education ecosystem. This can improve college students’ innovation and entrepreneurship education ecosystem, make the ecosystem a state of dynamic balance, enhance the ecological carrying capacity, and provide a stable environment for environmental development. Secondly, communication with other ecologies can transfer some therapeutic measures to the development of its innovation and entrepreneurship education, providing new development paths for the development of innovation and entrepreneurship education of college students and improving the teaching effect of innovation and entrepreneurship education.


## 5. Conclusion

Innovation and entrepreneurship education are important content in the modern education system. Universities should fully recognize the critical value of innovation and entrepreneurship education, actively build an ecological model to promote innovation and entrepreneurship education, optimize the internal and external environment as a whole while constructing a perfect systematic support environment, and optimize the primary content of innovation and entrepreneurship education comprehensively, improve the quality of innovation and entrepreneurship education as a whole, and promote the growth and development of the students fully. This paper analyzes and solves educational problems by using the principles of ecology to reveal the mechanisms and laws of the ecological effect of education. A feature extraction method based on random matrix M-P rate, FEMPL, is proposed. The concepts of random matrix and M-P rate are introduced, and the principle of the FEMPL method and the specific process are explained. FEMPL is more suitable for big data than big data analysis models and can be organized flexibly for the raw data. In this paper, we design a performance modeling-based Hadoop configuration parameter tuning method, which uses the random forest algorithm to build a performance model for predicting the running time of Hadoop jobs, and uses an optimization algorithm to search for optimal configuration parameter settings in the global high-dimensional configuration parameter space based on the performance model, to improve the execution efficiency of extensive data analysis processes by optimizing the platform configuration parameters. This study investigates the innovation and entrepreneurship education of college students based on the perspective of educational ecology research. The Delphi method can be used based on theoretical analysis of the dimensions and parameters of the ecological model construction. The authority of the dimensions and parameters can be improved using expert inquiry. It is possible to prolong the research practice in secondary schools and participate in innovation and entrepreneurship education firsthand to get more experience in innovation and entrepreneurship education development.



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*Source: 4070131-2022-08-23.xml*