UOT-IR：将多声部符号音乐结构化路由为固定预算表示
UOT-IR: Structured Routing of High-Polyphony Symbolic Music into Fixed-Budget Representations
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中文总结 AI 辅助
本研究提出UOT-IR框架，将多声部符号音乐压缩转化为固定预算结构化路由问题，在两种设置下均表现优异，为符号音乐压缩建立了原则性范式。
中文摘要 AI 辅助
多声部符号音乐正越来越多地用于生成、分析和编曲，但许多下游任务需要具有固定音轨或插槽的有界表示。因此，将丰富的管弦乐总谱转换为紧凑形式是必要的，但现有的依赖启发式简化或通用表示空间降维的方法往往无法在严格预算下保留结构角色、管弦乐兼容性和可演奏性。为解决该问题，本研究将压缩问题重新表述为固定预算结构化路由问题，并提出了无训练框架UOT-IR（非平衡信息路由最优传输），该框架基于约束非平衡最优传输构建。UOT-IR结合了管弦乐先验、自适应边际松弛、时间解码和可演奏性感知投影，以生成紧凑且音乐连贯的有界表示。本研究进一步在相同插槽预算下研究了两种实际设置：模板标准化，即把每个输入映射到预定义的有界模板；自适应保留，即保留代表性内容而不假设外部模板。在SymphonyNet语料库上的实验表明，UOT-IR在两种设置下均表现出强劲的整体性能，包括自适应保留任务中最佳的音符F1值（0.9120），以及模板标准化任务中最低的结构成本（14.7165）和不良结构混淆率（0.3406）。本研究为固定预算符号音乐压缩建立了原则性范式，为实现紧凑、结构化且音乐连贯的符号表示提供了实用路径。
英文摘要
High-polyphony symbolic music is increasingly used in generation, analysis, and arrangement, yet many downstream tasks require bounded representations with fixed tracks or slots. Converting richly orchestrated scores into compact forms is therefore necessary, but existing approaches relying on heuristic simplification or generic representation-space reduction often fail to preserve structural roles, orchestration compatibility, and playability under strict budgets. To address the issue, this study reformulates the compression problem as a fixed-budget structured routing problem and proposes Unbalanced Optimal Transport for Information Routing (UOT-IR), a training-free framework based on constrained unbalanced optimal transport. UOT-IR combines an orchestration prior, adaptive marginal relaxation, temporal decoding, and playability-aware projection to produce compact and musically coherent bounded representations. This work further studies two practical settings under the same slot budget: template standardization, which maps each input to a predefined bounded template, and adaptive preservation, which retains representative content without assuming an external template. Experiments on the SymphonyNet corpus show that UOT-IR delivers strong overall performance across both settings, including the best Note-F1 in adaptive preservation (0.9120), together with the lowest structural cost (14.7165) and bad structural confusion rate (0.3406) in template standardization. This work establishes a principled paradigm for fixed-budget symbolic music compression, offering a practical path toward compact, structured, and musically coherent symbolic representations.
