@article{residualkoopmanspectralprofilingforpredi, title = {Residual Koopman Spectral Profiling for Predicting and Preventing Transformer Training Instability}, author = {Bum Jun Kim and Shohei Taniguchi and Makoto Kawano and Yusuke Iwasawa and Yutaka Matsuo}, year = {2026}, eprint = {2602.22988}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2602.22988}, }