32 citations · 183 across the 54 of their papers we have counts for
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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…
Concentration Inequalities for Sample Cross-Covariances
Jiaheng Chen, Daniel Sanz-Alonso
This paper establishes sharp dimension-free concentration and expectation bounds for the deviation of a sample cross-covariance matrix from its mean. For sub-Gaussian random vector…
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…
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…
Spatial extreme values: variational techniques and stochastic integrals
Nicolas Garcia Trillos, Ryan Murray, Daniel Sanz-Alonso
This work employs variational techniques to revisit and expand the construction and analysis of extreme value processes. These techniques permit a novel study of spatial statistics…
Continuum Limit of Posteriors in Graph Bayesian Inverse Problems
Nicolas Garcia Trillos, Daniel Sanz-Alonso
We consider the problem of recovering a function input of a differential equation formulated on an unknown domain . We assume to have access to a discrete domain $M_n=\{x_1, \do…
Gaussian Approximations of Small Noise Diffusions in Kullback-Leibler Divergence
Daniel Sanz-Alonso, Andrew M. Stuart
We study Gaussian approximations to the distribution of a diffusion. The approximations are easy to compute: they are defined by two simple ordinary differential equations for the…