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Bayesian optimal experimental design (BOED) is a methodology to identify experiments that are expected to yield informative data. Recent work in cognitive science considered BOED for computational models of human behavior with tractable and…

Machine Learning · Computer Science 2021-11-01 Simon Valentin , Steven Kleinegesse , Neil R. Bramley , Michael U. Gutmann , Christopher G. Lucas

We lay out the phenomenological behavior of event-shape observables evaluated by solving optimal transport problems between collider events and reference geometries -- which we name 'manifold distances' -- to provide guidance regarding…

High Energy Physics - Phenomenology · Physics 2025-12-04 Cari Cesarotti , Matt LeBlanc

Conventional Bayesian optimal experimental design seeks to maximize the expected information gain (EIG) on model parameters. However, the end goal of the experiment often is not to learn the model parameters, but to predict downstream…

Computation · Statistics 2024-08-20 Atlanta Chakraborty , Xun Huan , Tommie Catanach

Bayesian optimal experimental design (BOED) selects experiments to maximize information gain about model parameters. However, in decision-critical settings, reducing parameter uncertainty does not necessarily improve downstream decisions,…

Machine Learning · Computer Science 2026-05-26 Jinwoo Go , Xiaoning Qian , Byung-Jun Yoon

Optimal experimental design provides a way of determining a-priori the best locations at which to place accelerometers in vibrations analysis experiments. However, in practice, sensors often fail during experimentation due high mechanical…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Rebekah White , Chandler Smith , Drew Kouri , Jace Ritchie , Wilkins Aquino , Timothy Walsh

We consider robust optimal experimental design (ROED) for nonlinear Bayesian inverse problems governed by partial differential equations (PDEs). An optimal design is one that maximizes some utility quantifying the quality of the solution of…

Numerical Analysis · Mathematics 2026-05-01 Abhijit Chowdhary , Ahmed Attia , Alen Alexanderian

We propose integrating optimal transport (OT) into operator learning for partial differential equations (PDEs) on complex geometries. Classical geometric learning methods typically represent domains as meshes, graphs, or point clouds. Our…

Machine Learning · Computer Science 2025-07-29 Xinyi Li , Zongyi Li , Nikola Kovachki , Anima Anandkumar

Monitoring networks increasingly aim to assimilate data from a large number of diverse sensors covering many sensing modalities. Bayesian optimal experimental design (OED) seeks to identify data, sensor configurations, or experiments which…

Applications · Statistics 2024-10-16 Jake Callahan , Kevin Monogue , Ruben Villarreal , Tommie Catanach

Dynamical formulations of optimal transport (OT) frame the task of comparing distributions as a variational problem which searches for a path between distributions minimizing a kinetic energy functional. In applications, it is frequently…

Optimization and Control · Mathematics 2025-12-11 Martin Bauer , Nicolas Charon , Tom Needham , Mao Nishino

We consider goal-oriented optimal design of experiments for infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs). Specifically, we seek sensor placements that minimize the posterior…

Numerical Analysis · Mathematics 2024-11-13 J. Nicholas Neuberger , Alen Alexanderian , Bart van Bloemen Waanders

We apply optimum experimental design (OED) to organic semiconductors modeled by the extended Gaussian disorder model (EGDM) which was developed by Pasveer et al. We present an extended Gummel method to decouple the corresponding system of…

Mathematical Physics · Physics 2015-06-12 Christoph Karl Felix Weiler , Stefan Körkel

We present AutoOED, an Optimal Experiment Design platform powered with automated machine learning to accelerate the discovery of optimal solutions. The platform solves multi-objective optimization problems in time- and data-efficient manner…

Artificial Intelligence · Computer Science 2021-04-14 Yunsheng Tian , Mina Konaković Luković , Timothy Erps , Michael Foshey , Wojciech Matusik

Geographic experiments are a widely-used methodology for measuring incremental return on ad spend (iROAS) at scale, yet their design presents significant challenges. The unit count is small, heterogeneity is large, and the optimal Supergeo…

Applications · Statistics 2025-12-01 Charles Shaw

We introduce sliced optimal transport dataset distance (s-OTDD), a model-agnostic, embedding-agnostic approach for dataset comparison that requires no training, is robust to variations in the number of classes, and can handle disjoint label…

Machine Learning · Computer Science 2025-05-16 Khai Nguyen , Hai Nguyen , Tuan Pham , Nhat Ho

Bayesian experimental design (BED) is a principled framework for data-efficient design of sequential experiments. However, existing BED methods are unable to adapt to dynamic constraints inherent in real-world tasks due to budget…

Machine Learning · Statistics 2026-05-27 Yujia Guo , Daolang Huang , Xinyu Zhang , Sammie Katt , Samuel Kaski , Ayush Bharti

The task of predicting human motion is complicated by the natural heterogeneity and compositionality of actions, necessitating robustness to distributional shifts as far as out-of-distribution (OoD). Here we formulate a new OoD benchmark…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Anthony Bourached , Ryan-Rhys Griffiths , Robert Gray , Ashwani Jha , Parashkev Nachev

We propose a control-oriented optimal experimental design (cOED) approach for linear PDE-constrained Bayesian inverse problems. In particular, we consider optimal control problems with uncertain parameters that need to be estimated by…

Optimization and Control · Mathematics 2025-09-01 Madhusudan Madhavan , Alen Alexanderian , Arvind K. Saibaba , Bart van Bloemen Waanders , Rebekah D. White

We describe the R package MOODE and demonstrate its use to find multi-objective optimal experimental designs. Multi-Objective Optimal Design of Experiments (MOODE) targets the experimental objectives directly, ensuring that the full set of…

Computation · Statistics 2024-12-24 Vasiliki Koutra , Olga Egorova , Steven G. Gilmour , Luzia A. Trinca

We present a mathematical framework and computational methods to optimally design a finite number of sequential experiments. We formulate this sequential optimal experimental design (sOED) problem as a finite-horizon partially observable…

Machine Learning · Computer Science 2024-03-28 Wanggang Shen , Xun Huan

We consider optimal experimental design (OED) for Bayesian inverse problems, where the experimental design variables have a certain multiway structure. Given $d$ different experimental variables with $m_i$ choices per design variable $1 \le…

Numerical Analysis · Mathematics 2025-06-03 Hugo Díaz , Arvind K. Saibaba , Srinivas Eswar , Vishwas Rao , Zichao Wendy Di