collaborators

5 papers

quant-ph2025

Learning thermodynamic master equations for open quantum systems

Peter Sentz, Stanley Nicholson, Yujin Cho +3

The characterization of Hamiltonians and other components of open quantum dynamical systems plays a crucial role in quantum computing and other applications. Scientific machine lea…

math.OC2025

The latent variable proximal point algorithm for variational problems with inequality constraints

Jørgen S. Dokken, Patrick E. Farrell, Brendan Keith +2

The latent variable proximal point (LVPP) algorithm is a framework for solving infinite-dimensional variational problems with pointwise inequality constraints. The algorithm is a s…

math.OC2024

A Simple Introduction to the SiMPL Method for Density-Based Topology Optimization

Dohyun Kim, Boyan Stefanov Lazarov, Thomas M. Surowiec +1

We introduce a novel method for solving density-based topology optimization problems: Sigmoidal Mirror descent with a Projected Latent variable (SiMPL). The SiMPL method (pronounce…

math.OC2024

Analysis of the SiMPL method for density-based topology optimization

Brendan Keith, Dohyun Kim, Boyan S. Lazarov +1

We present a rigorous convergence analysis of a new method for density-based topology optimization that provides point-wise bound preserving design updates and faster convergence t…

cs.LG2024

Improving Explainability of Softmax Classifiers Using a Prototype-Based Joint Embedding Method

Hilarie Sit, Brendan Keith, Karianne Bergen

We propose a prototype-based approach for improving explainability of softmax classifiers that provides an understandable prediction confidence, generated through stochastic sampli…