activity
20162026
most citedHierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initializaiton

6 citations · 6 across the 8 of their papers we have counts for

collaborators

9 papers

stat.ML2026

Practical Efficient Global Optimization is No-regret

Jingyi Wang, Haowei Wang, Nai-Yuan Chiang +3

Efficient global optimization (EGO) is one of the most widely used noise-free Bayesian optimization algorithms.It comprises the Gaussian process (GP) surrogate model and expected i…

math.NA2025

A Constrained Multi-Fidelity Bayesian Optimization Method

Jingyi Wang, Nai-Yuan Chiang, Tucker Hartland +3

Recently, multi-fidelity Bayesian optimization (MFBO) has been successfully applied to many engineering design optimization problems, where the cost of high-fidelity simulations an…

math.NA2025

Algebraic Multigrid with Filtering: An Efficient Preconditioner for Interior Point Methods in Large-Scale Contact Mechanics Optimization

Socratis Petrides, Tucker Hartland, Tzanio Kolev +6

Large-scale contact mechanics simulations are crucial in many engineering fields such as structural design and manufacturing. In the frictionless case, contact can be modeled by mi…

math.OC2024

A Scalable Interior-Point Gauss-Newton Method for PDE-Constrained Optimization with Bound Constraints

Tucker Hartland, Cosmin G. Petra, Noemi Petra +1

We present a scalable approach to solve a class of elliptic partial differential equation (PDE)-constrained optimization problems with bound constraints. This approach utilizes a r…

math.NA2023

Point spread function approximation of high rank Hessians with locally supported non-negative integral kernels

Nick Alger, Tucker Hartland, Noemi Petra +1

We present an efficient matrix-free point spread function (PSF) method for approximating operators that have locally supported non-negative integral kernels. The method computes im…

math.NA2023★ 6 cited

Hierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initializaiton

Tucker Hartland, Georg Stadler, Mauro Perego +2

Obtaining lightweight and accurate approximations of Hessian applies in inverse problems governed by partial differential equations (PDEs) is an essential task to make both determi…

math.NA2022

Further analysis of multilevel Stein variational gradient descent with an application to the Bayesian inference of glacier ice models

Terrence Alsup, Tucker Hartland, Benjamin Peherstorfer +1

Multilevel Stein variational gradient descent is a method for particle-based variational inference that leverages hierarchies of surrogate target distributions with varying costs a…

math.NT2017

Indecomposable vector-valued modular forms and periods of modular curves

Luca Candelori, Tucker Hartland, Christopher Marks +1

We classify the three-dimensional representations of the modular group that are reducible but indecomposable, and their associated spaces of holomorphic vector-valued modular forms…

math.AP2016

A strong maximum principle for nonlinear nonlocal diffusion equations

Ravi Shankar, Tucker Hartland

This is a study of a class of nonlocal nonlinear diffusion equations. We present a strong maximum principle for nonlocal time-dependent Dirichlet problems. Results are for bounded…