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math.PR2023
Tail bounds for Multivariate Random Tensor Means
Shih-Yu Chang
In our recent research endeavors, we have delved into the realm of tail bounds problems concerning bivariate random tensor means. In this context, tensors are treated as finite-dim…
math.PR2023
Random Tensor Inequalities and Tail bounds for Bivariate Random Tensor Means, Part II
Shih-Yu Chang
This is Part II of our work about random tensor inequalities and tail bounds for bivariate random tensor means. After reviewing basic facts about random tensors, we first consider…
math.PR2023
Random Tensor Inequalities and Tail bounds for Bivariate Random Tensor Means, Part I
Shih-Yu Chang
In this work, we apply the concept about operator connection to consider bivariate random tensor means. We first extend classical Markov and Chebyshev inequalities from a random va…