Y. Guan, A. Li, S. Koenig, S. Haas and S. Kumar. FastPivot: An Algorithm for Inverse Problems. In IEEE International Conference on Automation Science and Engineering (CASE), pages 505-511, 2022.

Abstract: The laws of physics are usually stated using mathematical equations, allowing us to accurately map a given physical system to its response. However, when building systems, we are often faced with the inverse problem: How should we design a physical system that produces a target response? In this paper, we present a novel algorithm, called FastPivot, for solving such inverse problems. FastPivot starts with a system state and invokes alternating forward and backward passes through the system variables. In a forward pass, it leads the current state of the system to its response. In the subsequent backward pass, a small amount of information is allowed to percolate from the target response back to the system variables. FastPivot produces good quality solutions efficiently. We demonstrate the promise of FastPivot on the inverse problem of placing atoms in a bounded region using a scanning tunneling microscope to achieve target responses in the density of states. We also compare FastPivot to Monte Carlo methods and analyze various empirical observations.

Download the paper in pdf.

Many publishers do not want authors to make their papers available electronically after the papers have been published. Please use the electronic versions provided here only if hardcopies are not yet available. If you have comments on any of these papers, please send me an email! Also, please send me your papers if we have common interests.

This page was automatically created by a bibliography maintenance system that was developed as part of an undergraduate research project, advised by Sven Koenig.