@article{measuringdeaddirectionsdecomposingandcla, title = {Measuring Dead Directions: Decomposing and Classifying Singular Structure off Canonical Alignment}, author = {Tejas Pradeep Shirodkar}, year = {2026}, eprint = {2607.00603}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2607.00603}, }