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We revisit the classical problem of optimal experimental design (OED) under a new mathematical model grounded in a geometric motivation. Specifically, we introduce models based on elementary symmetric polynomials; these polynomials capture…

Statistics Theory · Mathematics 2017-05-30 Zelda Mariet , Suvrit Sra

In the current paper, we present an optimization system solving multi objective production scheduling problems (MOOPPS). The identification of Pareto optimal alternatives or at least a close approximation of them is possible by a set of…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger

The coordinate-exchange algorithm is commonly used to construct optimal experimental designs. Every execution of the coordinate-exchange algorithm produces a new, seemingly random, order of the selected design points. In this short…

Methodology · Statistics 2026-03-24 Arno Strouwen , Peter Goos

Real-world problems are often comprised of many objectives and require solutions that carefully trade-off between them. Current approaches to many-objective optimization often require challenging assumptions, like knowledge of the…

Neural and Evolutionary Computing · Computer Science 2023-07-07 Jackson Dean , Nick Cheney

A single language model, even when aligned with labelers through reinforcement learning from human feedback (RLHF), may not suit all human preferences. Recent approaches therefore prefer customization, gathering multi-dimensional feedback,…

Machine Learning · Computer Science 2024-08-20 Zhanhui Zhou , Jie Liu , Jing Shao , Xiangyu Yue , Chao Yang , Wanli Ouyang , Yu Qiao

Real-world applications involve various discrete optimization problems. Designing a specialized optimizer for each of these problems is challenging, typically requiring significant domain knowledge and human efforts. Hence, developing…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Shengcai Liu , Zhiyuan Wang , Yew-Soon Ong , Xin Yao , Ke Tang

I present an R package called edibble that facilitates the design of experiments by encapsulating elements of the experiment in a series of composable functions. This package is an interpretation of "the grammar of experimental designs" by…

Computation · Statistics 2023-11-17 Emi Tanaka

In this paper, we address the challenging problem of optimal experimental design (OED) of constrained inverse problems. We consider two OED formulations that allow reducing the experimental costs by minimizing the number of measurements.…

Numerical Analysis · Mathematics 2017-08-17 Lars Ruthotto , Julianne Chung , Matthias Chung

A model-based optimal experiment design (OED) of nonlinear systems is studied. OED represents a methodology for optimizing the geometry of the parametric joint-confidence regions (CRs), which are obtained in an a posteriori analysis of the…

Optimization and Control · Mathematics 2020-08-14 Anwesh Reddy Gottu Mukkula , Radoslav Paulen

Multiobjective optimization remains challenging for many scientific and engineering problems due to the need to balance convergence, diversity, and computational efficiency across high-dimensional objective landscapes. This work presents…

Neural and Evolutionary Computing · Computer Science 2026-05-01 Omer F. Erdem , Dean Price , Paul Seurin , Majdi I. Radaideh

We describe the \proglang{R} package \pkg{glmmrBase} and an extension \pkg{glmmrOptim}. \pkg{glmmrBase} provides a flexible approach to specifying, fitting, and analysing generalised linear mixed models. We use an object-orientated class…

Computation · Statistics 2024-03-15 Samuel I. Watson

Many real world scientific and industrial applications require optimizing multiple competing black-box objectives. When the objectives are expensive-to-evaluate, multi-objective Bayesian optimization (BO) is a popular approach because of…

Machine Learning · Computer Science 2022-06-17 Samuel Daulton , David Eriksson , Maximilian Balandat , Eytan Bakshy

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

Computation · Statistics 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

In this study, a nondominated-solution-based multi-objective greedy method is proposed and applied to a sensor selection problem based on the multiple indices of the optimal design of experiments. The proposed method simultaneously…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kumi Nakai , Yasuo Sasaki , Takayuki Nagata , Keigo Yamada , Yuji Saito , Taku Nonomura

To enable emerging applications such as deep machine learning and graph processing, 3D network-on-chip (NoC) enabled heterogeneous manycore platforms that can integrate many processing elements (PEs) are needed. However, designing such…

Machine Learning · Computer Science 2023-03-14 Sirui Qi , Yingheng Li , Sudeep Pasricha , Ryan Gary Kim

Structural identifiability is a property of an ODE model with parameters that allows for the parameters to be determined from continuous noise-free data. This is a natural prerequisite for practical identifiability. Conducting multiple…

Algebraic Geometry · Mathematics 2021-08-18 Alexey Ovchinnikov , Anand Pillay , Gleb Pogudin , Thomas Scanlon

Solving multi-objective optimization problems for large deep neural networks is a challenging task due to the complexity of the loss landscape and the expensive computational cost of training and evaluating models. Efficient Pareto front…

Machine Learning · Computer Science 2024-06-17 Anke Tang , Li Shen , Yong Luo , Shiwei Liu , Han Hu , Bo Du

The ability to design effective experiments is crucial for obtaining data that can substantially reduce the uncertainty in the predictions made using computational models. An optimal experimental design (OED) refers to the choice of a…

Methodology · Statistics 2025-06-17 Troy Butler , John Jakeman , Michael Pilosov , Scott Walsh , Timothy Wildey

The application of mixture-of-experts (MoE) is gaining popularity due to its ability to improve model's performance. In an MoE structure, the gate layer plays a significant role in distinguishing and routing input features to different…

Machine Learning · Computer Science 2024-02-05 Zhitian Xie , Yinger Zhang , Chenyi Zhuang , Qitao Shi , Zhining Liu , Jinjie Gu , Guannan Zhang

Model-based deep reinforcement learning has achieved success in various domains that require high sample efficiencies, such as Go and robotics. However, there are some remaining issues, such as planning efficient explorations to learn more…

Machine Learning · Computer Science 2021-07-06 Yao Yao , Li Xiao , Zhicheng An , Wanpeng Zhang , Dijun Luo
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