9 papers
Wavelet-based multilevel framework for -regularized image deblurring
Danyh Tolah, Malena I. Español, Misha E. Kilmer
Solving large-scale -regularized image deblurring problems efficiently while preserving sharp edges remains a significant computational challenge. We propose a wavelet-base…
Structure-Informed Bounds on the Kronecker Rank of Block-Structured Matrices
Allison Fuller, Malena Español, Misha Kilmer
We derive theoretical bounds on the Kronecker rank of block-structured matrices that possess both inner and outer structure. Building on the matrix-to-tensor and tensor-to-matrix f…
Exact Symmetry as Algebra: A Machine-Verified Tensor Calculus that Enforces Physical Selection Rules
Paulina Hoyos, Shashanka Ubaru, Dongsung Huh +5
Symmetry is central to the physical sciences, yet machine learning usually captures it only approximately, leaving a residual per-step equivariance error that compoun…
Nonlinear RMM-GKS for Large-Scale Dynamic and Streaming Inverse Problems with Uncertain Forward Operators
Toluwani Okunola, Mirjeta Pasha, Misha E. Kilmer +2
Many practical imaging systems suffer from uncertainty in acquisition geometry -- such as projection angles in computed tomography or sensor positions in photoacoustic tomography -…
An Efficient Cumulative Edge-Detection Method for Image Reconstruction
Toluwani Okunola, Mirjeta Pasha, Misha E. Kilmer
When reconstructing images from noisy measurements, such as in medical scans or scientific imaging, we face an inverse problem: recovering an unknown image from indirect, corrupted…
A tensor-based dynamic mode decomposition based on the -product
Arvind K. Saibaba, Misha E. Kilmer, Khalil Hall-Hooper +2
Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applicat…