Journal article
An Optimization Perspective on the Monotonicity of the Multiplicative Algorithm for Optimal Experimental Design
Operations research letters, Vol.69(November 2026), 107511
08/20/2026
DOI: 10.1016/j.orl.2026.107511
Abstract
We provide an optimization-based argument for the monotonicity of the multiplicative algorithm (MA) for a class of optimal experimental design problems considered in Yu [1]. Our proof avoids introducing auxiliary variables (or problems) and leveraging statistical arguments, and is much more straightforward and simpler compared to the proof in [1, Section 3]. The simplicity of our monotonicity proof also allows us to easily identify several sufficient conditions that ensure the strict monotonicity of MA. In addition, we provide two simple and similar-looking examples on which MA behaves very differently. These examples offer insight in the behaviors of MA, and also reveal some limitations of MA when applied to certain optimality criteria. We discuss these limitations, and pose open problems that may lead to deeper understanding of the behaviors of MA on these optimality criteria.
Details
- Title: Subtitle
- An Optimization Perspective on the Monotonicity of the Multiplicative Algorithm for Optimal Experimental Design
- Creators
- Renbo Zhao - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Operations research letters, Vol.69(November 2026), 107511
- DOI
- 10.1016/j.orl.2026.107511
- ISSN
- 0167-6377
- eISSN
- 1872-7468
- Publisher
- Elsevier B.V
- Language
- English
- Electronic publication date
- 08/13/2026
- Date published
- 08/20/2026
- Academic Unit
- Business Analytics
- Record Identifier
- 9985219318002771
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