Utilitas Algorithmica (UA)
ISSN: xxxx-xxxx (print)
Utilitas Algorithmica (UA) is a premier, open-access international journal dedicated to advancing algorithmic research and its applications. Launched to drive innovation in computer science, UA publishes high-impact theoretical and experimental papers addressing real-world computational challenges. The journal underscores the vital role of efficient algorithm design in navigating the growing complexity of modern applications. Spanning domains such as parallel computing, computational geometry, artificial intelligence, and data structures, UA is a leading venue for groundbreaking algorithmic studies.
- Research article
- https://doi.org/10.61091/jcmcc127b-338
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6165--6185
- Published Online: 16/04/2025
Driven by artificial intelligence and deep learning technology, this study proposes an intelligent course recommendation system for art and design education. By constructing XMMC, a joint extraction model of knowledge entities and relations based on deep learning, the accurate analysis of course knowledge structure is realized. Key features such as user preference, content semantics and social influence are extracted by combining multi-feature ranking models such as collaborative filtering, topic modeling and course hotness. Finally, based on the deep reinforcement learning algorithm DDPG, a dynamic recommendation strategy is designed to optimize the recommendation effect. The experiments are based on Coursera Course, Caltech-UCSD Birds 200 and Education Recommendation datasets, and the results show that the improved DDPG model achieves 49.11%, 70.05% and 59.23% course coverage on the three datasets, respectively, which is better than the traditional algorithms Time SVD and CDAE with significant improvement. We constructed the art education course category with the number of topics as 5. In the practical application, the recommended list generated by the system is highly consistent with the course heat analysis, in which the course “Introduction to 3D Modeling and Blender” ranks the first with 6729 average playbacks, which verifies that the recommendation strategy can effectively improve the fitness of the pushed content and the current course progress of the students. It verifies that the recommendation strategy can effectively improve the compatibility between the pushed content and the students’ current course progress.
- Research article
- https://doi.org/10.61091/jcmcc127b-337
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6153--6164
- Published Online: 16/04/2025
Mining the dynamic association between psychological state changes and sports performance is one of the core tasks of physical education towards scientific teaching. In this paper, the data of psychological change indexes of student athletes were collected by scales and the indexes variability was tested. Combined with the principal component analysis to extract the principal component factors of the psychological change index data, construct the correlation coefficient matrix, and calculate the multiple linear regression equations of psychological change and sports performance. The gray correlation model based on the whitening weight function was used to analyze the gray correlation between psychological change and athletic performance, and calculate the influence of the two.Among the 9 psychological indicators, 4 dimensions, such as social evaluation anxiety, had a significant difference with P<0.01. P<0.05 for 2 dimensions such as competition preparation anxiety, there was a difference. In the principal component analysis, the negative and positive psychological dimensions were extracted as principal components, including the 7 psychological indicator components excluding the 2 dimensions. Judging from the regression coefficients and gray correlation calculation results, the 3 psychological indicators of cognitive state anxiety, state self-efficacy, and injury anxiety had the greatest influence on sports performance. Targeted alleviation of cognitive and injury anxiety and improvement of self-confidence can optimize students' sports performance.
- Research article
- https://doi.org/10.61091/jcmcc127b-336
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6133--6151
- Published Online: 16/04/2025
In this study, a multimodal analysis framework based on GCN is constructed to address the needs of interaction behavior analysis and creativity assessment of programming games for 0-6 years old children. A stack noise reduction self-coding neural network is used to recognize human gestures in images, and the feature representation of interaction behaviors is realized based on GCN, and the effectiveness of the method is proved by the experimental results on the two-player interaction behavior library. Construct a creativity evaluation system applicable to programming game scenarios for young children, and recruit 80 students aged 0-6 years old to carry out experiments. The students were classified using the GCN-based interaction behavior analysis model, and the weights of creativity evaluation indexes were determined by AHP. The fuzzy comprehensive evaluation method was used to evaluate and score the factors of creativity of the three categories of students, and the test results were verified with the help of the gray correlation method. The comprehensive evaluation scores of the three types of students are 2.006, 3.507 and 5.026, respectively, in which the creativity level of excellent learners is the highest and reaches the excellent grade. The normalized gray comprehensive correlation vector (0.3224, 0.3727, 0.3049) is close to the AHP weight vector (0.328, 0.357, 0.315) with a good assessment effect, and the research results provide a new technical path for behavior analysis and creativity development assessment in early childhood programming education.
- Research article
- https://doi.org/10.61091/jcmcc127b-335
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6115--6132
- Published Online: 16/04/2025
The study of student behavior data is a necessary way to enhance the digitalization process of the curriculum system of business administration. This paper collects students’ online platform learning behavior and other data, and carries out data cleaning and other pre-processing on them. Using the density function and entropy discretization algorithm to divide the continuous student data into intervals, and study the course learning characteristics of students in different attribute intervals. On this basis, optimize the curriculum system of business administration majors in colleges and universities, and judge its application value through comparative experiments. Obtain students’ satisfaction data on the curriculum system of business administration majors in colleges and universities, and analyze the direction of continuous improvement. Through preprocessing and descriptive analysis, it can be judged that the student behavior data conforms to the characteristics of continuous data, and can be classified using the discretization algorithm. The student behavior data are discretized into 3 major categories and 11 subcategories, and the attribute characteristics of each category can represent the behavioral characteristics and curriculum needs of different students. The mean value of the overall satisfaction of the optimized business administration curriculum system is 3.567 points, and the scores of all dimensions are higher than those before optimization, and there is no gender difference in satisfaction (P>0.05). The entropy-based discretization algorithm can effectively support the optimization of business administration professional course system.
- Research article
- https://doi.org/10.61091/jcmcc127b-334
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6099--6113
- Published Online: 16/04/2025
This paper discusses the application of AI color analysis technology in oil painting teaching, combined with experiments to verify its effect on improving teaching quality. Firstly, the core algorithm of AI color analysis technology is analyzed, and the implementation scheme of digital image sharpening preprocessing is proposed based on the RGB color model, and the edge and color information of the image is extracted based on the improved Canny operator. Improved GAN completes the reconstruction of the oil painting image, and the characteristic colors of the oil painting are extracted using the optimized K-means clustering algorithm. The oil painting images are selected for color feature analysis, and the color matching scheme is improved based on the color feature results to construct the color analysis process based on AI technology in oil painting teaching. Finally, students from art colleges were selected as the research subjects, and a control experiment was designed to investigate the effect of AI color analysis in teaching. The p-value of the five factors of the experimental group and the control group’s post-test scores of creativity of modeling, application of color, color richness, emotional tendency of color and expression of the theme are all less than 0.05, and the average scores of the experimental group in these five aspects, 3.66, 3.74, 3.85, 3.77, 3.34, are all significantly larger than those of the control group, which indicates that the experimental group using AI color analysis to assist teaching has significantly widened the gap between the control group and the experimental group in terms of the use of color. It shows that the experimental group using AI color analysis to assist teaching has a significant gap with the control group in the use of color.
- Research article
- https://doi.org/10.61091/jcmcc127b-333
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6081--6097
- Published Online: 16/04/2025
This study focuses on the computational analysis of business data, constructs a market prediction framework that integrates K-means clustering, feature standardization and improved N-BEATS model, and verifies its effect on the accuracy of enterprise strategic decision-making based on multi-source data. The study selects real-time transaction data and weather data from 800 merchants under Alibaba, extracts key features through standardization and correlation analysis, and improves the model by introducing topological features and multi-attention mechanism, which significantly optimizes the time series prediction accuracy and reduces the RMSE by 18.6%. The empirical analysis for tissue paper category shows that the forecast error rate of the time series decomposition method is only 0.58%, which is better than the traditional trend method and seasonal index method. Through the regression analysis of 328 business managers’ questionnaires, data-driven analysis β=0.617, p<0.001 and innovative forecasting β=0.594, p<0.001 have a significant positive effect on strategic decisionmaking accuracy and consensus.
- Research article
- https://doi.org/10.61091/jcmcc127b-332
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6061--6080
- Published Online: 16/04/2025
In the context of digital economy, the cultivation of rural revitalization talents urgently needs interdisciplinary collaboration and intelligent support. Taking Ningbo Future Rural College as a practice carrier, this study proposes an interdisciplinary platform construction model that integrates knowledge graph and deep reinforcement learning. The dynamic semantic association network is constructed through knowledge graph representation learning (TTransE), which is combined with a hierarchical reasoning intelligent framework to realize personalized learning and career recommendation. The experiment is based on 850 student sample data, and uses principal component analysis (PCA) dimensionality reduction with Pearson’s correlation coefficient to validate feature relevance and construct a breadth-first association knowledge graph. The model achieved the highest 97.79% accuracy with 90.89% F1 value in entity recognition, and the skill assessment score was improved to 80.69, which was significantly higher than the control group’s 67.10. The model significantly improved students’ thinking ability (8.58 vs. 6.20), skill level (7.96 vs. 5.64), and innovation and adaptability (7.84 vs. 5.71) in this paper. The application of the proposed research methodology in Ningbo Future Rural College is effective and has certain promotion value for rural revitalization talent cultivation across specialties, which can help professional decision makers to formulate and implement cultivation policies.
- Research article
- https://doi.org/10.61091/jcmcc127b-331
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6045--6060
The human specimen, due to its non-renewable nature, requires the liquid exchange process in adaptive regulation mode to realize precise control. In this paper, a stochastic parallel perturbation based gradient descent algorithm (SPGD) is introduced into the real-time control system for human specimen liquid exchange. The SPGD algorithm is used to assist the real-time control system to monitor the liquid concentration and regulate the liquid exchange power in real time, so as to keep the liquid exchange speed fast and stable and reduce the risk of specimen damage. The advantages of SPGD algorithm and real-time control system in the process of human specimen liquid exchange are verified through several experiments. The results show that there is a correlation between different liquid concentrations, real-time power and liquid exchange speed, and the combination of SPGD algorithm and real-time monitoring of the changes between the three can improve the stability of liquid exchange. The SPGD algorithm with the introduction of stochastic parallel perturbations reaches an evaluation function value of 0.83 at 31 iterations and a convergence accuracy of 0.9698 after 150 iterations. The convergence speed and accuracy are better than the unimproved SPGD algorithm. During the real-time control process, the relative error of pipetting is not more than 1.5%, and the repeatability deviation is less than 1%. Within the time range of 0-120ms, the real-time control system introducing SPGD algorithm can give the changing power of liquid exchange, which guarantees the specimen safety in the process of liquid exchange.
- Research article
- https://doi.org/10.61091/jcmcc127b-330
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6019--6043
- Published Online: 16/04/2025
In this study, a data-driven assessment framework integrating multi-criteria decision making, association rule mining and fuzzy clustering methods is proposed to address the scientific and objective needs of rule extraction and optimization in employee performance assessment. The TOPSIS model is improved by triangular fuzzy numbers to realize the objective ranking of business performance. The Apriori algorithm is improved to mine the association rules between competency and performance. The empirical results show that Employee 3 is ranked in the excellent grade with 101.32% task completion rate and 0.8323 relative proximity. The questionnaire results of competency quality had a significant impact on appraisal with a confidence level of 84.3%, while technical title and education were not sufficiently correlated with a confidence level of <30%. The fuzzy decision tree model generated 25 classification rules with a confidence level higher than 63.2%. And combined with the work attitude index with a weight of 0.2913 to complete the comprehensive performance assessment, the results show that the overall performance score of the employees in this enterprise is 0.81362, which is a good grade. This study makes the performance appraisal more objective, precise and efficient, and at the same time expands the application scope of data mining technology in enterprise management.
- Research article
- https://doi.org/10.61091/jcmcc127b-329
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127b
- Pages: 6003--6018
- Published Online: 16/04/2025
In this paper, we construct a multi-level network based on corporate mobility relationships to quantify human resource attributes. The cuckoo search algorithm (CS) is chosen to enhance the global optimization capability of human resource management scheme. Combine CS and XGBoost to construct CS-XGBoost algorithm, and realize the optimal solution of HRM scheme through hyperparameter optimization and other steps. The multi-project human resource management of construction enterprises is taken as an example to verify the auxiliary value of CS-XGBoost algorithm in the generation of optimal management scheduling scheme. Empirical studies show that the algorithm can obtain the optimal solution in about 450 iterations. In multi-project scheduling management, the optimal duration can be reduced to 510 days, which is better than the comparison algorithm. With the introduction of demand prioritization requirements, the algorithm can effectively balance the differences in project duration, project cost and employee working time. The CS-XGBoost algorithm can be used to quickly realize the optimal decision-making of enterprise human resource scheduling management, save costs and improve efficiency.




