145 citations · 389 across the 30 of their papers we have counts for
5 papers · 1 filter
Visualization of topology optimization designs with representative subset selection
Daniel J Perry, Vahid Keshavarzzadeh, Shireen Y Elhabian +3
An important new trend in additive manufacturing is the use of optimization to automatically design industrial objects, such as beams, rudders or wings. Topology optimization, as i…
Deep Multi-Fidelity Active Learning of High-dimensional Outputs
Shibo Li, Robert M. Kirby, Shandian Zhe
Many applications, such as in physical simulation and engineering design, demand we estimate functions with high-dimensional outputs. The training examples can be collected with di…
Numerical Testing of a New Positivity-Preserving Interpolation Algorithm
T. A. J. Ouermi, Robert M. Kirby, Martin Berzins
An important component of a number of computational modeling algorithms is an interpolation method that preserves the positivity of the function being interpolated. This report des…
Structure-preserving function approximation via convex optimization
Vidhi Zala, Robert M. Kirby, Akil Narayan
Approximations of functions with finite data often do not respect certain "structural" properties of the functions. For example, if a given function is non-negative, a polynomial a…
Multi-Fidelity High-Order Gaussian Processes for Physical Simulation
Zheng Wang, Wei Xing, Robert Kirby +1
The key task of physical simulation is to solve partial differential equations (PDEs) on discretized domains, which is known to be costly. In particular, high-fidelity solutions ar…