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Hai-Chen Hu

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Preprint Sep 2026

Simultaneous Pointwise Majorization for Mixed Tail Processes with Applications in Gaussian Chaos and Ergodic Diffusions

Classical chaining controls an indexed stochastic process through a single worst-case bound and can therefore obscure substantial variation across the index set. We develop the first simultaneous pointwise majorization theory for Banach-valued processes with finite-metric mixed-tail increments. Suppose that an anchored...

Hai-Chen Hu, David Simchi-Levi · 0 citations
#artificial intelligence Preprint Sep 2026

Coupled Calibration and Learning: Mitigating Teacher Bias in LLM Distillation without Target-Domain Reward Feedback

Coupled Calibration and Learning (CCL) is proposed, an LLM distillation algorithm that couples teacher calibration with student updates through token-level branching, using reward feedback only on source questions.

Hai-Chen Hu, Yu-Heng Zhang, David Simchi-Levi · 0 citations
#machine learning Preprint Sep 2026

Sharp Structure-Agnostic Minimax Risk for Partial Linear Models

The result shows that standard double machine learning can overstate the intrinsic difficulty of target estimation and provides a target-specific principle for learner selection: approximation error and stochastic complexity must be jointly balanced across the two nuisance learners rather than optimized separately.

Hai-Chen Hu, David Simchi-Levi · 0 citations

Optimizing the Preconditioner: A Black-box Online-to-Nonconvex Conversion with Static Regret Minimization Oracles

The framework separates optimizer design into gradient prediction and online preconditioner selection, providing a principled perspective on how adaptive optimization methods may be understood through static regret and applied in nonconvex optimization.

Hai-Chen Hu, David Simchi-Levi · 0 citations

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