Research on Piano Curriculum Education and Its Performance Ecosystem Based on Network Flow Optimization

IF 3.1 Q1 Mathematics Applied Mathematics and Nonlinear Sciences Pub Date : 2024-01-01 DOI:10.2478/amns-2024-0830
Huang Wang
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Abstract

This paper investigates music education, where an efficient and accurate performance evaluation system in the piano teaching and performance ecosystem is increasingly becoming an essential tool for improving teaching quality and performance level. The objective evaluation of students’ performance skills can be achieved by carefully analyzing piano performances using the network flow optimization technique. This technique optimizes the performance evaluation system’s audio recognition ability by analyzing the piano audio signal and solving the multi-constraint nonlinear optimization problem in a limited time domain. This paper establishes a network flow optimization model, applies the multi-constraint nonlinear optimization technique, and combines the non-negative matrix decomposition and dynamic time regularization algorithm to analyze the piano performance for experiments. After optimization processing, hundreds of piano audio samples were collected, and the audio recognition accuracy was improved by 20%. By optimizing and processing the audio signals from the network stream, the evaluation system could detect polyphony more accurately and track the musical score effectively, improving accuracy and efficiency. Using the non-negative matrix decomposition algorithm, the accuracy of detecting polyphony can reach 85%, while the dynamic temporal regularization algorithm can match the position of the musical score with 95% accuracy. The accuracy of piano performance evaluation is optimized by this network flow optimization method, providing new technical means for music education, and promoting the quality of teaching and performance.
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基于网络流程优化的钢琴课程教育及其演奏生态系统研究
本文研究的是音乐教育,在钢琴教学和演奏生态系统中,高效、准确的演奏评价系统日益成为提高教学质量和演奏水平的重要工具。通过使用网络流优化技术对钢琴演奏进行仔细分析,可以实现对学生演奏技能的客观评价。该技术通过分析钢琴音频信号,在有限时域内求解多约束非线性优化问题,优化演奏评估系统的音频识别能力。本文建立了网络流优化模型,应用多约束非线性优化技术,并结合非负矩阵分解和动态时间正则化算法对钢琴演奏进行了实验分析。经过优化处理后,收集到了数百个钢琴音频样本,音频识别准确率提高了 20%。通过对网络流中的音频信号进行优化处理,评估系统可以更准确地检测复调,并有效跟踪乐谱,提高了准确性和效率。使用非负矩阵分解算法,检测复调的准确率可达 85%,而动态时序正则化算法与乐谱位置匹配的准确率可达 95%。这种网络流优化方法优化了钢琴演奏评价的准确性,为音乐教育提供了新的技术手段,促进了教学和演奏质量的提高。
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来源期刊
Applied Mathematics and Nonlinear Sciences
Applied Mathematics and Nonlinear Sciences Engineering-Engineering (miscellaneous)
CiteScore
2.90
自引率
25.80%
发文量
203
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