12 papers
The Berry--Esseen Bound is Sharp for All Sufficiently Large Sample Sizes
Hengzhi He, Guang Cheng
We prove that the Esseen's constant is sharp in the iid Berry--Esseen inequality as long as the sample sizes . The threshold is universal over all real summ…
Tensor-normal maximum likelihood estimation at the operator-norm sample threshold
Hengzhi He, Guang Cheng
Let be independent Gaussian tensors in with a common covariance matrix given by the Kronecker product of …
Sharp proper estimation of fixed-component Gaussian location mixtures in polynomial time
Hengzhi He, Guang Cheng
We consider a mixture of at most unit-covariance Gaussians in whose means belong to a fixed-radius ball, with no separation or minimum-weight condition. Doss, Wu…
Let the Target Select for Itself: Data Selection via Target-Aligned Paths
Huitao Yang, Hengzhi He, Guang Cheng
Targeted data selection aims to identify training samples from a large candidate pool that improve performance on a specific downstream task. Many recent methods estimate candidate…
Authenticated Contradictions from Desynchronized Provenance and Watermarking
Alexander Nemecek, Hengzhi He, Guang Cheng +1
Cryptographic provenance standards such as C2PA and invisible watermarking are positioned as complementary defenses for content authentication, yet the two verification layers are…
Enhancing Table Reasoning with Deterministic Table-State Rewards
Tung Sum Thomas Kwok, Xinyu Wang, Hengzhi He +9
Large Language Models (LLMs) struggle with multi-step reasoning over structured tables. The primary reason is the lack of explicit supervision for intermediate reasoning states. Ex…