Research

My earlier research concentrated on nonlinear optimization, where I developed methods to efficiently solve large-scale optimization problems and explored the intersection of optimization and machine learning.

Midway through my PhD, I became more concerned with AI’s impact on society. As such, I shifted focus to align my work with environmental applications and began developing optimization frameworks to aid conservationists. In particular, my work leverages computational methods to support spatial planning and decision-making for biodiversity conservation.

Publications

Regularized Step Directions in Nonlinear Conjugate Gradient Methods

Cassidy K. Buhler, Hande Y. Benson, David F. Shanno

Article Preprint Code

Buhler, C.K., Benson, H.Y. & Shanno, D.F. Regularized step directions in nonlinear conjugate gradient methods. Mathematical Programming Computation. (2024). https://doi.org/10.1007/s12532-024-00265-9

Nonlinear Optimization Operations Research

Decision-Making for Land Conservation: A Derivative-Free Optimization Framework with Nonlinear Inputs

Cassidy K. Buhler and Hande Y. Benson

Paper Preprint Code Poster

Buhler, C. K., & Benson, H. Y. (2024). Decision-Making for Land Conservation: A Derivative-Free Optimization Framework with Nonlinear Inputs. Proceedings of the AAAI Conference on Artificial Intelligence, 38(20), 21932-21939. https://doi.org/10.1609/aaai.v38i20.30195

Biodiversity Conservation Mixed-Integer Nonlinear Programming Operations Research

Optimal Land Conservation Decisions for Multiple Species

Cassidy K. Buhler and Hande Y. Benson

Paper Preprint

Buhler, C. K., & Benson, H. Y. (2023). Optimal Land Conservation Decisions for Multiple Species. Proceedings of the 52nd Northeast Decision Science Institute Annual Conference (Vol. 52, pp. 808-816).

Biodiversity Conservation Integer Linear Programming Operations Research

Do Mechanisms Matter? Comparing Cancer Treatment Strategies Across Mathematical Models and Outcome Objectives

Cassidy K. Buhler, Rebecca S. Terry, Kathryn G. Link, Frederick R. Adler

Article

Cassidy K. Buhler, Rebecca S. Terry, Kathryn G. Link, Frederick R. Adler. Do mechanisms matter? Comparing cancer treatment strategies across mathematical models and outcome objectives[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 6305-6327. doi: 10.3934/mbe.2021315

Mathematical Modeling Math Biology

Preprints

Efficient Solution of Portfolio Optimization Problems via Dimension Reduction and Sparsification

Cassidy K. Buhler and Hande Y. Benson

Preprint Code

Nonlinear Optimization Machine Learning Operations Research

Working Papers

Regularized Nonlinear Conjugate Gradient Methods for Machine Learning

Cassidy K. Buhler and Hande Y. Benson

Code

Nonlinear Optimization Machine Learning Operations Research