Algorithmic statistics of retinal images
This study addresses the issue of physiologically irrelevant systematic distortions introduced by existing non-metric methods when analyzing three-dimensional retinal OCT images, which can compromise the assessment of disease progression. The authors propose a metric learning framework that, for the first time, integrates Normalized Compression Distance (NCD) with anisotropic structure-enhancement filtering to construct interpretable and metrically consistent Normalized Compression Vector (NCV) representations. This approach effectively reveals category-dependent statistical distortions potentially induced by non-metric embeddings. Experimental results demonstrate that NCV predicts visual field functional changes with an error of approximately 0.5 dB, outperforming current non-metric deep learning methods. Furthermore, the framework’s capacity to quantify and visualize structural differences is validated in both human glaucoma patients and non-human primate models.