4 papers · 1 filter
Weighted inhomogeneous regularization for inverse problems with indirect and incomplete measurement data
Bosu Choi, Jihun Han, Yoonsang Lee
Regularization is a critical technique for ensuring well-posedness in solving inverse problems with incomplete measurement data. Traditionally, the regularization term is designed…
Sparse Harmonic Transforms II: Best -Term Approximation Guarantees for Bounded Orthonormal Product Bases in Sublinear-Time
Bosu Choi, Mark Iwen, Toni Volkmer
In this paper, we develop a sublinear-time compressive sensing algorithm for approximating functions of many variables which are compressible in a given Bounded Orthonormal Product…
Multiscale High-Dimensional Sparse Fourier Algorithms for Noisy Data
Bosu Choi, Andrew Christlieb, Yang Wang
We develop an efficient and robust high-dimensional sparse Fourier algorithm for noisy samples. Earlier in the paper ``Multi-dimensional sublinear sparse Fourier algorithm" (2016),…
Sparse Harmonic Transforms: A New Class of Sublinear-time Algorithms for Learning Functions of Many Variables
Bosu Choi, Mark Iwen, Felix Krahmer
We develop fast and memory efficient numerical methods for learning functions of many variables that admit sparse representations in terms of general bounded orthonormal tensor pro…