@article{shiftedcompositioniiilocalerrorframework, title = {Shifted Composition III: Local Error Framework for KL Divergence}, author = {Jason M. Altschuler and Sinho Chewi}, year = {2024}, eprint = {2412.17997}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2412.17997v1}, }