3 papers
math.ST2026
Detection Is Harder Than Estimation in Certain Regimes: Inference for Moment and Cumulant Tensors
Runshi Tang, Yuefeng Han, Anru R. Zhang
We study estimation and detection of high-order moment and cumulant tensors from i.i.d.\ observations of a -dimensional random vector, with performance measured in tensor sp…
stat.ME2025
Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence
Runshi Tang, Julien Chhor, Olga Klopp +1
Canonical Polyadic (CP) tensor decomposition is a fundamental technique for analyzing high-dimensional tensor data. While the Alternating Least Squares (ALS) algorithm is widely us…
stat.ML2024
Tensor Decomposition with Unaligned Observations
Runshi Tang, Tamara Kolda, Anru R. Zhang
This paper presents a canonical polyadic (CP) tensor decomposition that addresses unaligned observations. The mode with unaligned observations is represented using functions in a r…