Authors

Jason D. Lee

Publications 2

Preprint Open access

Principal Component Regression Dominates all Monotone Spectral Filters for Linear Regression

Juno Kim, Hengyu Fu, Peter Bartlett et al. · 2026

We compare the instance-wise, finite-sample risks of monotone spectral filters for linear regression, a broad class of estimators including principal component regression (PCR), gradient descent (GD), and ridge regression. We show that PCR dominates all monotone spectral filters: compared to any such filter, the risk o …

Preprint Open access

Learn Your Own Thoughts: Abstract Token Curriculum

Khashayar Gatmiry, Avrajit Ghosh, Parsa Mirtaheri et al. · 2026

Large Language Models (LLMs) have achieved remarkable reasoning capabilities by utilizing chain-of-thought (CoT) as a scratchpad for intermediate stages of thinking. However, CoT techniques require explicit supervision on thinking tokens, which requires rich, task-specific data. In this work, we propose Abstract Token …

Co-authors

Juno Kim Hengyu Fu Peter Bartlett Jingfeng Wu Khashayar Gatmiry Avrajit Ghosh Parsa Mirtaheri Nika Haghtalab Emmanuel Abbe