213 citations · 503 across the 15 of their papers we have counts for
16 papers
Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization
Ze Chen, Juan Zhang, Kenneth L. Ho +1
This paper focuses on the fast evaluation of the matvec for , which is the discretization of a multidimensional oscillatory integral transform $…
Interpolative Decomposition Butterfly Factorization
Qiyuan Pang, Kenneth L. Ho, Haizhao Yang
This paper introduces a "kernel-independent" interpolative decomposition butterfly factorization (IDBF) as a data-sparse approximation for matrices that satisfy a complementary low…
Recursively Preconditioned Hierarchical Interpolative Factorization for Elliptic Partial Differential Equations
Jordi Feliu-Fabà, Kenneth L. Ho, Lexing Ying
The hierarchical interpolative factorization for elliptic partial differential equations is a fast algorithm for approximate sparse matrix inversion in linear or quasilinear time.…
A recursive skeletonization factorization based on strong admissibility
Victor Minden, Kenneth L. Ho, Anil Damle +1
We introduce the strong recursive skeletonization factorization (RS-S), a new approximate matrix factorization based on recursive skeletonization for solving discretizations of lin…
Differential Algebra for Model Comparison
Heather A. Harrington, Kenneth L. Ho, Nicolette Meshkat
We present a method for rejecting competing models from noisy time-course data that does not rely on parameter inference. First we characterize ordinary differential equation model…
Fast spatial Gaussian process maximum likelihood estimation via skeletonization factorizations
Victor Minden, Anil Damle, Kenneth L. Ho +1
Maximum likelihood estimation for parameter-fitting given observations from a Gaussian process in space is a computationally-demanding task that restricts the use of such methods t…
Numerical algebraic geometry for model selection and its application to the life sciences
Elizabeth Gross, Brent Davis, Kenneth L. Ho +2
Researchers working with mathematical models are often confronted by the related problems of parameter estimation, model validation, and model selection. These are all optimization…
Butterfly Factorization
Yingzhou Li, Haizhao Yang, Eileen Martin +2
The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructe…
A technique for updating hierarchical skeletonization-based factorizations of integral operators
Victor Minden, Anil Damle, Kenneth L. Ho +1
We present a method for updating certain hierarchical factorizations for solving linear integral equations with elliptic kernels. In particular, given a factorization corresponding…
A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions
Leslie Greengard, Kenneth L. Ho, June-Yub Lee
We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single…
Hierarchical interpolative factorization for elliptic operators: differential equations
Kenneth L. Ho, Lexing Ying
This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization ta…
Hierarchical interpolative factorization for elliptic operators: integral equations
Kenneth L. Ho, Lexing Ying
This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions. This factorization…
A fast semi-direct least squares algorithm for hierarchically block separable matrices
Kenneth L. Ho, Leslie Greengard
We present a fast algorithm for linear least squares problems governed by hierarchically block separable (HBS) matrices. Such matrices are generally dense but data-sparse and can d…
A fast direct solver for structured linear systems by recursive skeletonization
Kenneth L. Ho, Leslie Greengard
We present a fast direct solver for structured linear systems based on multilevel matrix compression. Using the recently developed interpolative decomposition of a low-rank matrix…
A parameter-free model discrimination criterion based on steady-state coplanarity
Heather A. Harrington, Kenneth L. Ho, Thomas Thorne +1
We describe a novel procedure for deciding when a mass-action model is incompatible with observed steady-state data that does not require any parameter estimation. Thus, we avoid t…
Bistability in Apoptosis by Receptor Clustering
Kenneth L. Ho, Heather A. Harrington
Apoptosis is a highly regulated cell death mechanism involved in many physiological processes. A key component of extrinsically activated apoptosis is the death receptor Fas, which…