# Optimization Algorithm Design via Electric Circuits

arXiv: https://arxiv.org/abs/2411.02573 · HTML: https://mlsanity.com/paper/2411.02573/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Nov 2024.

## Built on by (most cited first, 2 of 2)

- [Circuit realization and hardware linearization of monotone operator equilibrium networks](https://mlsanity.com/paper/2509.13793/) (2025)
- [Designing across domains with declarative thinking: Insights from the 96-Eyes ptychographic imager project](https://mlsanity.com/paper/2508.18512/) (2025)

## Abstract (arXiv)

We present a novel methodology for convex optimization algorithm design using ideas from electric RLC circuits. Given an optimization problem, the first stage of the methodology is to design an appropriate electric circuit whose continuous-time dynamics converge to the solution of the optimization problem at hand. Then, the second stage is an automated, computer-assisted discretization of the continuous-time dynamics, yielding a provably convergent discrete-time algorithm. Our methodology recovers many classical (distributed) optimization algorithms and enables users to quickly design and explore a wide range of new algorithms with convergence guarantees.