arXiv:2604.27810cs.LG2026-04

用高维向量代数运算替代神经网络,实现无需训练的分子指纹表示。

Hyper-Dimensional Fingerprints as Molecular Representations

论文配图:Hyper-Dimensional Fingerprints as Molecular Representations
图 1 · 摘自论文原文
  • 用高维向量的代数操作生成分子表示,无需训练
  • 32维时与图编辑距离相关性达0.9,远超摩根指纹的0.55
  • 64维即可支持有效最近邻回归,适合高效分子优化

计算分子表示是虚拟筛选、性质预测和材料发现的基础。传统指纹虽高效确定,但通过哈希压缩会丢失结构信息,尤其在低维时表现更差。图神经网络学习的表示能恢复表达能力,但需任务特定训练且计算开销大。本文提出高维指纹(HDF),以高维向量的代数运算取代消息传递网络的可学习变换,生成无需训练的确定性分子表示。在多个性质预测基准上,HDF在多数任务中优于传统指纹,并在不同数据集和模型间表现更一致。关键在于,HDF嵌入能忠实保留分子相似性:32维时,其空间距离与图编辑距离的皮尔逊相关性达0.9,而同等规模的摩根指纹仅为0.55。该结构保真度在低维下仍保持,使仅64个分量的最近邻回归仍具预测能力。进一步在贝叶斯分子优化中验证,基于HDF的代理模型显著提升采样效率,而摩根指纹在类似场景下表现接近随机搜索。因此,HDF提供了一种通用、免训练的分子指纹替代方案,表明长期视为固定长度指纹固有缺陷的信息损失,实为哈希编码方式所致,而非指纹范式本身的问题。

原文摘要 · Abstract (English)

Computational molecular representations underpin virtual screening, property prediction, and materials discovery. Conventional fingerprints are efficient and deterministic but lose structural information through hash-based compression, particularly at low dimensionalities. Learned representations from graph neural networks recover this expressiveness but require task-specific training and substantial computational resources. Here we introduce hyperdimensional fingerprints (HDF), which replace the learned transformations of message-passing neural networks with algebraic operations on high-dimensional vectors, producing deterministic molecular representations without any training. Across diverse property prediction benchmarks, HDF outperforms conventional fingerprints in the majority of tasks while exhibiting greater consistency across datasets and models. Crucially, HDF embeddings preserve molecular similarity faithfully: at 32 dimensions, distances in HDF space achieve a 0.9 Pearson correlation with graph edit distance, compared to 0.55 for Morgan fingerprints at equivalent size. This structural fidelity persists at low dimensions where hash-based methods degrade, allowing simple nearest-neighbor regression to remain predictive with as few as 64 components. We further demonstrate the practical impact in Bayesian molecular optimization, where HDF-based surrogate models achieve substantially improved sample efficiency in regimes where Morgan fingerprints perform comparably to random search. HDF thus provides a general-purpose, training-free alternative to conventional molecular fingerprints, suggesting that the information loss long accepted as inherent to fixed-length fingerprints is a limitation of the hash-based encoding scheme rather than the fingerprint paradigm itself.

分子表示高维计算无监督指纹

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