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math.ST2026
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 …
math.ST2026
Asymptotically Lossless Exact and Pivotal E-Values
Hengzhi He, Guang Cheng
Consider testing a finite composite null $\cP={P_1,\ldots,P_L}$ against a simple alternative using i.i.d. observations. Let denote the supremum of the expected log…
math.ST2026
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…