Gan Yao

collaborators

4 papers

stat.ML2026

Adaptive generative moment matching networks for improved learning of dependence structures

Marius Hofert, Gan Yao

An adaptive bandwidth selection procedure for the mixture kernel in the maximum mean discrepancy (MMD) for fitting generative moment matching networks (GMMNs) is introduced, and im…

math.CA2026

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{n}$ for $n \geq 4$

Gan Yao

For $1 < p \leq q < \infty$ and $n \geq 4$ , we prove that the Poisson-like semigroup $(P_{t})_{t \in R_{+}}$ on $Z_{n}$ , associated with the word length $I ¨ _{n} (k) = min (k, n - k)$ ,…

math.CA2025

Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{m \cdot 2^{k}}$

Gan Yao

For $1 < p \leq q < \infty$ and $n \in {3 \cdot 2^{k}, 2^{k}}$ with $k \geq 1$ , we prove that the Poisson-like semigroup $(P_{t})_{t \in R_{+}}$ on $Z_{n}$ , associated with the wo…

math.FA2025

Proper cocycles, measure equivalence and $L_{p}$ -Fourier multipliers

Simeng Wang, Runlian Xia, Gan Yao

We develop a new transference method for completely bounded $L_{p}$ -Fourier multipliers via proper cocycles arising from probability measure-preserving group actions. This method ext…

Adaptive generative moment matching networks for improved learning of dependence structures

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups Zn​ for n≥4

Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups Zm⋅2k​

Proper cocycles, measure equivalence and Lp​-Fourier multipliers

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{n}$ for $n \geq 4$

Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $Z_{m \cdot 2^{k}}$

Proper cocycles, measure equivalence and $L_{p}$ -Fourier multipliers