AI 中文总结
该研究提出从符号序列推导局部转移核轨迹的观测驱动估计机制，以《Syrinx》音符事件验证，发现音高与时长核的平台差异及L=2时的完全复制退化，为音乐内容涌现建模提供新视角。
AI 中文摘要
马尔可夫模型是符号音乐领域的成熟工具，包含非齐次形式。本文的具体贡献聚焦于一种观测驱动的估计机制：重叠滑动窗口从单个符号序列而非外生形式划分中推导局部转移核的轨迹。我们在德彪西1913年的作品《Syrinx》的273个逻辑音符事件上测试该机制，采用常被提出的A-B-A'解读作为参考而非真值。我们将相同验证应用于绝对音高和记谱时长核。当L=6时，两个参考边界在两个维度上均达到Jensen-Shannon最大值；时长平台（267次比较中的64次）远窄于音高平台（267次比较中的210次）。由于连续滑动窗口比较的理论最大值由窗口几何设定，对于进出转移的最大周转量为1/√(L-1)，因此L=6时的音高值及其宽平台本身并非有力证据。它们的跨维度对齐与边界敏感性一致，而宽平台排除了将任一曲线单独视为唯一自动分段器的可能。500次抽样重合成实验量化了两个维度与源的偏离，并揭示了L=2时的完全复制退化现象。
英文摘要
Markov models are established tools for symbolic music, including non-homogeneous formulations. The narrower contribution examined here is an observation-driven estimation mechanism: overlapping sliding windows derive a trajectory of local transition kernels from one symbolic sequence rather than from an exogenous formal partition. We test this mechanism on 273 logical note events from Debussy's Syrinx (1913), using the often-proposed A-B-A' reading as a reference rather than ground truth. We apply the same validation to absolute-pitch and notated-duration kernels. At $L=6$, both reference boundaries attain the Jensen--Shannon maximum in both dimensions; the duration plateau is substantially narrower (64 of 267 comparisons) than the pitch plateau (210 of 267). Because the theoretical maximum for consecutive sliding-window comparisons is set by window geometry and equals $1/\sqrt{L-1}$ for maximal turnover of the entering/leaving transition, the pitch value at $L=6$ and its broad plateau are not, by themselves, strong evidence. Their cross-dimensional alignment is consistent with boundary sensitivity, while the broad plateaus preclude treating either curve alone as a unique automatic segmenter. Five-hundred-draw re-synthesis experiments quantify departure from the source in both dimensions and expose an exact-copy degeneracy at $L=2$.
CommentsAccepted at XXV CIM - Colloquio di Informatica Musicale, L'Aquila, 2026
