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math.ST2025
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Yang Qi, Alexis Decurninge
We use tools from random matrix theory to study the multi-spiked tensor model, i.e., a rank- deformation of a symmetric random Gaussian tensor. In particular, thanks to the natu…
math.ST2024
An Introduction to Complex Random Tensors
Divyanshu Pandey, Alexis Decurninge, Harry Leib
This work considers the notion of random tensors and reviews some fundamental concepts in statistics when applied to a tensor based data or signal. In several engineering fields su…
math.ST2022
On the Accuracy of Hotelling-Type Tensor Deflation: A Random Tensor Analysis
Mohamed El Amine Seddik, Maxime Guillaud, Alexis Decurninge
Leveraging on recent advances in random tensor theory, we consider in this paper a rank- asymmetric spiked tensor model of the form where …