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math.ST2026
Gaussian Comparison Theorems for High-Dimensional Posterior Inference
Wenxuan Zou, Galen Reeves
We develop a Gaussian comparison theory for posterior inference in non-Gaussian high-dimensional models. The framework allows for model misspecification and does not require the po…
math.ST2026
Free Energy Universality in Tensor Estimation via Generic Chaining
Wenxuan Zou, Galen Reeves
We study high-dimensional inference problems with tensor-structured data and establish conditions under which their free energy can be approximated by that of a Gaussian comparison…
math.ST2024
Linear Operator Approximate Message Passing (OpAMP)
Riccardo Rossetti, Bobak Nazer, Galen Reeves
This paper introduces a framework for approximate message passing (AMP) in dynamic settings where the data at each iteration is passed through a linear operator. This framework is…