@article{ultralowdimensionalityreductionfor, title = {Ultralow-dimensionality reduction for identifying critical transitions by spatial-temporal PCA}, author = {Pei Chen and Yaofang Suo and Rui Liu and Luonan Chen}, year = {2025}, eprint = {2501.12582}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2501.12582v1}, }