发表机构
KTH Royal Institute of Technology（KTH皇家理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用双曲嵌入分析嗅觉描述符数据，发现径向组织反映轮廓全局属性，角度组织捕获描述符梯度与分类结构，为气味表示提供可解释框架。
AI 中文摘要
气味质量通常使用高维描述符轮廓来表示，但其低维组织仍不清楚。我们研究了二维双曲嵌入能否提供这种结构的可解释表示。我们将双曲度量多维缩放应用于两个互补数据集：来自三名参与者对160种气味剂在15个连续描述符上评分的480个Sagar评分轮廓，以及带有138个二元描述符注释的4983个GoodScents--Leffingwell分子。嵌入显著保留了成对描述符距离，支持后续的径向和角度组织分析。在Sagar数据中，评分轮廓熵与双曲半径呈强烈负相关，扩散轮廓更靠近中心，集中轮廓更靠近边界。这种径向组织主要在完整描述符轮廓层面出现，而非任何单个描述符，并且在不同描述符表示、参与者特定分析和平均评分中保持稳健。甜味、麝香味、果味和愉悦感表现出最强的方向趋势。在GoodScents--Leffingwell数据中，反映描述符多样性的活动标签熵随半径增加而增加，而反映跨正交模式分布的正交化描述符熵随半径增加而减少。相关的二元描述符占据连贯的局部高密度区域。这些发现揭示了嗅觉描述符数据双曲表示中互补的径向和角度组织。它们支持双曲映射作为一种可解释的描述性框架，其中半径总结了全局轮廓属性，而角度分量捕获了连续描述符梯度和分类组织。
英文摘要
Odor quality is commonly represented using high dimensional descriptor profiles, yet their low dimensional organization remains unclear. We investigated whether a two-dimensional hyperbolic embedding can provide an interpretable representation of this structure. We applied hyperbolic metric multidimensional scaling to two complementary datasets: 480 Sagar rating profiles from three participants rating 160 odorants on 15 continuous descriptors, and 4983 GoodScents--Leffingwell molecules annotated with 138 binary descriptors. The embeddings substantially preserved pairwise descriptor distances, supporting subsequent analyses of radial and angular organization. In Sagar, rating profile entropy was strongly and negatively associated with hyperbolic radius, with diffuse profiles closer to the center and concentrated profiles closer to the boundary. This radial organization emerged primarily at the level of the full descriptor profile, rather than any individual descriptor, and remained robust across alternative descriptor representations, participant specific analyses, and averaged ratings. Sweet, musky, fruity, pleasantness showed the strongest directional trends. In GoodScents--Leffingwell, active label entropy, reflecting descriptor multiplicity, increased with radius, whereas orthogonalized descriptor entropy, reflecting spread across orthogonal modes, decreased with radius. Related binary descriptors occupied coherent localized high-density regions. These findings reveal complementary radial and angular organization in the hyperbolic representation of olfactory descriptor data. They support hyperbolic mapping as an interpretable descriptive framework in which radius summarizes global profile properties, while the angular component captures continuous descriptor gradients and categorical organization.
CommentsSubmitted to Chemical Senses
