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math.ST2026
The Poisson tensor completion parametric estimator
Daniel M. Dunlavy, Richard B. Lehoucq, Carolyn D. Mayer +1
We introduce the Poisson tensor completion (PTC) estimator that exploits inter-sample relationships to compute a low-rank Poisson tensor decomposition of the frequency histogram fo…
math.ST2025
A Latent-Variable Formulation of the Poisson Canonical Polyadic Tensor Model: Maximum Likelihood Estimation and Fisher Information
Carlos Llosa-Vite, Daniel M. Dunlavy, Richard B. Lehoucq +2
We establish parameter inference for the Poisson canonical polyadic (PCP) model of tensor count data through a latent-variable formulation. Our approach exploits the property that…
math.ST2025
Near-Efficient and Non-Asymptotic Multiway Inference
Oscar López, Arvind Prasadan, Carlos Llosa-Vite +2
We establish non-asymptotic efficiency guarantees for tensor decomposition-based inference in count data models. Under a Poisson framework, we consider two related goals: (i) param…