arXiv:2607.23957cs.SDcs.GT2026-07

用动态模型分析19世纪末至20世纪初西方音乐风格演变,揭示各国间风格互动关系。

Modeling Stylistic Co-evolution in Symbolic Music Heritage Collections

论文配图:Modeling Stylistic Co-evolution in Symbolic Music Heritage Collections
图 1 · 摘自论文原文
  • 从和弦序列构建上下文嵌入,通过卡尔曼滤波追踪国家级风格轨迹。
  • 1875–1925年模型在1930–1940年预测准确率较高,验证了结构稳定性。
  • 结果与音乐史共识一致,适合文化研究与数字人文学者参考。

数字化音乐遗产数据为研究风格传统的历史变迁提供了新机遇,但现有计算方法常将作品简化为静态分类或相似度分数。本文提出一种从表征到动态的分析框架,用于研究西方艺术音乐中的跨文化和声演变。基于480部1875–1940年间来自俄罗斯、法国、德国、奥地利及混合组‘其他’的乐谱,从符号化和弦序列出发,构建上下文和弦嵌入,将作品级表示投影至共享和声空间,并通过时序因果卡尔曼滤波重建国家层级的风格轨迹。这些轨迹采用DeGroot与Friedkin–Johnsen动态模型建模,生成可解释的影响力网络及风格锚定估计。模型以1875–1925年数据拟合,对1930–1940年进行递归预测,检验依赖结构在可能变革的历史语境中是否仍具信息量。结果与晚期浪漫主义至早期现代主义时期的风格交流历史认知基本一致,包括德奥传统紧密关联,以及俄法之间历史合理的风格互动。基于主成分方差加权的估计带来小幅提升,同时保持单一可解释的影响网络。该框架不将估计矩阵视为直接因果证据,而是为文化遗产研究提供可复现的量化补充,辅助档案与音乐学解读。

原文摘要 · Abstract (English)

Digitized musical heritage collections offer new opportunities to examine how stylistic traditions change over historical time, but computational analyses often reduce musical works to static classifications or similarity scores. This article proposes a representation-to-dynamics framework for studying cross-cultural harmonic change in Western art music. Starting from symbolic chord sequences, we derive contextual chord embeddings, project work-level representations into a shared harmonic space, and reconstruct country-level trajectories through temporally causal Kalman filtering. These trajectories are then modeled with DeGroot and Friedkin--Johnsen dynamics, yielding interpretable influence-like networks and estimates of stylistic anchoring. We apply the framework to a curated corpus of 480 dated works from 1875 to 1940 across Russia, France, Germany, Austria, and a heterogeneous ''Others'' group. Models fitted on 1875--1925 are evaluated through recursive forecasts for 1930--1940, testing whether the estimated dependency structure remains informative across a potentially changing historical and stylistic regime. The estimated trajectories and influence patterns are broadly consistent with established music-historical accounts of late Romantic and early modernist exchange, including the close relationship between German and Austrian traditions and historically plausible cross-currents between Russian and French traditions. PCA-variance-weighted estimation provides modest improvements while preserving a single interpretable influence network. Rather than treating the estimated matrices as direct causal evidence, the framework offers a reproducible quantitative layer for cultural heritage research, complementing archival and musicological interpretation.

风格演化音乐遗产动态建模文化分析

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