新方法允许神经元部分不匹配,提升表示比较的鲁棒性与精度。
Partial Soft-Matching Distance for Neural Representational Comparison with Partial Unit Correspondence
- 引入部分最优传输机制,允许部分神经元不匹配
- 在脑成像和深度网络中均实现更高对齐精度
- 自动筛选低可靠性脑区,适合高噪声数据研究
表征相似性度量通常强制所有神经元配对,易受神经表示中的噪声和异常值影响。本文将软匹配距离扩展至部分最优传输设置,允许部分神经元不配对,从而获得旋转敏感且鲁棒的对应关系。该部分软匹配距离在理论上放松了严格的质量守恒约束,同时保持可解释的运输成本;在实践中通过高效神经元排序实现跨网络对齐,无需耗时的迭代重计算。模拟实验显示,其在存在异常值时仍能保持正确匹配,并可靠识别受噪声污染的模型。在fMRI数据中,它能自动排除低可靠性体素,生成基于对齐质量的体素排名,结果接近计算昂贵的穷举方法。相比强制匹配所有单元的标准软匹配,其在同源脑区的对齐精度更高。高度匹配的神经元表现出相似的最大激活图像,而不匹配的神经元则呈现差异模式。该能力可根据匹配质量进行分组分析,例如检验网络在最对齐子群中是否存在特权轴。总体而言,部分软匹配为部分对应下的表征比较提供了一种原理严谨且实用的方法。
原文摘要 · Abstract (English)
Representational similarity metrics typically force all units to be matched, making them susceptible to noise and outliers common in neural representations. We extend the soft-matching distance to a partial optimal transport setting that allows some neurons to remain unmatched, yielding rotation-sensitive but robust correspondences. This partial soft-matching distance provides theoretical advantages -- relaxing strict mass conservation while maintaining interpretable transport costs -- and practical benefits through efficient neuron ranking in terms of cross-network alignment without costly iterative recomputation. In simulations, it preserves correct matches under outliers and reliably selects the correct model in noise-corrupted identification tasks. On fMRI data, it automatically excludes low-reliability voxels and produces voxel rankings by alignment quality that closely match computationally expensive brute-force approaches. It achieves higher alignment precision across homologous brain areas than standard soft-matching, which is forced to match all units regardless of quality. In deep networks, highly matched units exhibit similar maximally exciting images, while unmatched units show divergent patterns. This ability to partition by match quality enables focused analyses, e.g., testing whether networks have privileged axes even within their most aligned subpopulations. Overall, partial soft-matching provides a principled and practical method for representational comparison under partial correspondence.
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