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math.PR2026
Sharp Frobenius-Norm Concentration for Sample Moment Tensors
Jiaheng Chen, Daniel Sanz-Alonso
This paper establishes sharp dimension-free Frobenius-norm concentration inequalities for sample moment tensors. Our bounds are optimal over the sub-Gaussian class, while for Gauss…
math.PR2025
Sharp Concentration of Simple Random Tensors II: Asymmetry
Jiaheng Chen, Daniel Sanz-Alonso
This paper establishes sharp concentration inequalities for simple random tensors. Our theory unveils a phenomenon that arises only for asymmetric tensors of order when…
math.PR2025
Sharp Concentration of Simple Random Tensors
Omar Al-Ghattas, Jiaheng Chen, Daniel Sanz-Alonso
This paper establishes sharp dimension-free concentration inequalities and expectation bounds for the deviation of the sum of simple random tensors from its expectation. As part of…