arXiv:2509.12261cs.SDeess.AS2025-09

提出新算法解决音频中歌曲识别难题,准确率达98.4%。

Longest Filled Common Subsequence for Song Identification from Degraded Audio via Construct--Merge--Solve--Adapt Optimization

  • 采用构建-合并-求解-自适应框架,迭代优化大尺寸问题。
  • 在1510个实例中匹配1486个最优解,准确率98.4%。
  • 首次将该算法用于劣化音频的歌曲识别,适合音频处理研究者。

本文研究长填充公共子序列(LFCS)问题,这是一个具有挑战性的NP难问题,广泛应用于生物信息学,如基因突变预测和基因组数据重建。现有方法主要在小规模实例上评估,难以反映其可扩展性。本文引入一个包含更大规模实例的新基准数据集,证明现有数据集缺乏有效区分算法性能的能力。为高效求解大规模实例,提出一种自适应的构建-合并-求解-适应(CMSA)框架,通过组件式构造生成有前景的子问题,并利用前序迭代反馈进行优化,子问题由外部黑盒求解器求解。在标准及新引入的大规模实例上进行大量实验,结果表明所设计的自适应CMSA达到当前最优性能,优于四种已知方法。在1,510个已知最优解的实例中,该方法成功匹配1,486个,达到98.4%的准确率,显著提升大规模问题的可扩展性。作为工程贡献,首次将LFCS应用于从劣化音频片段中识别歌曲,使用真实音乐的能量轮廓实例。最后,通过实证可解释性分析,揭示影响算法性能的关键特征组合,明确不同实例类型下各方法成功或失败的关键因素。

原文摘要 · Abstract (English)

This paper addresses the Longest Filled Common Subsequence (LFCS) problem, a challenging NP-hard problem with applications in bioinformatics, including gene mutation prediction and genomic data reconstruction. Existing approaches, including exact, metaheuristic, and approximation algorithms, have primarily been evaluated on small instances, which provide limited insight into their scalability. In this work, we introduce a new benchmark dataset with significantly larger instances and demonstrate that existing datasets lack the discriminative power needed to meaningfully assess algorithm performance at scale. To solve large instances efficiently, we utilize an adaptive Construct, Merge, Solve, Adapt (CMSA) framework that iteratively generates promising subproblems via component-based construction and refines them using feedback from prior iterations. Subproblems are solved using an external black-box solver. Extensive experiments on both standard and newly introduced set of large-sized instances prove that the designed adaptive CMSA achieves state-of-the-art performance, outperforming four known approaches. Notably, among 1,510 problem instances with known optimal solutions, our approach matches the proven optimum on 1,486 instances---corresponding to 98.4\% of these instances. These results demonstrate substantially improved scalability on large problem instances. As an engineering contribution, we propose a novel application of LFCS to song identification from degraded audio excerpts, using real-world energy-profile instances derived from popular music. Finally, we conduct an empirical explainability analysis to identify critical feature combinations influencing algorithm performance, revealing the key problem features associated with the success or failure of the approaches across different instance types.

算法优化音频识别子序列匹配

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