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math.NA2025
Accelerating seismic inversion and uncertainty quantification with efficient high-rank Hessian approximations
Mathew Hu, Nick Alger, Rami Nammour +1
Efficient high-rank approximations of the Hessian can accelerate seismic full waveform inversion (FWI) and uncertainty quantification (UQ). In FWI, approximations of the inverse of…
math.NA2020
Tensor train construction from tensor actions, with application to compression of large high order derivative tensors
Nick Alger, Peng Chen, Omar Ghattas
We present a method for converting tensors into tensor train format based on actions of the tensor as a vector-valued multilinear function. Existing methods for constructing tensor…