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When we plan to use money as an incentive to change the behavior of a person (such as making riders to deliver more orders or making consumers to buy more items), the common approach of this problem is to adopt a two-stage framework in…

Machine Learning · Computer Science 2025-04-08 Juhua Chen , Karson shi , Jialing He , North Chen , Kele Jiang

The past decade has witnessed a dramatic increase in the size and scope of biological and behavioral experiments. These experiments are providing an unprecedented level of detail and depth of data. However, this increase in data presents…

Quantitative Methods · Quantitative Biology 2014-04-03 Samuel V. Scarpino , Ross Gillette , David Crews

In chemical safety assessment, validation studies rely on reference compound lists to evaluate the applicability of alternative methods prior to regulatory acceptance. These lists are expected to cover multiple aspects, including chemical…

Quantitative Methods · Quantitative Biology 2026-03-24 Yohei Ohto , Tadahaya Mizuno , Yasuhiro Yoshikai , Hiromi Fujimoto , Hiroyuki Kusuhara

For the purpose of addressing the multi-objective optimal reactive power dispatch (MORPD) problem, a two-step approach is proposed in this paper. First of all, to ensure the economy and security of the power system, the MORPD model aiming…

Optimization and Control · Mathematics 2020-03-06 Meng Zhang , Yang Li

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

This paper describes PyOED, a highly extensible scientific package that enables developing and testing model-constrained optimal experimental design (OED) for inverse problems. Specifically, PyOED aims to be a comprehensive Python toolkit…

Mathematical Software · Computer Science 2023-12-20 Abhijit Chowdhary , Shady E. Ahmed , Ahmed Attia

Solving constrained optimization problems by multi-objective evolutionary algorithms has scored tremendous achievements in the last decade. Standard multi-objective schemes usually aim at minimizing the objective function and also the…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tao Xu , Jun He

Industrial experimental designs frequently lack optimal space-filling properties, rendering them unrepresentative. This study presents a comprehensive methodology to refine existing designs by enhancing coverage quality while optimizing…

Optimization and Control · Mathematics 2026-04-02 Thomas Bartz-Beielstein , Eva Bartz , Alexander Hinterleitner , Christoph Leitenmeier , Ihab Abd El Hussein

Multi-environment POMDPs (ME-POMDPs) extend standard POMDPs with discrete model uncertainty. ME-POMDPs represent a finite set of POMDPs that share the same state, action, and observation spaces, but may arbitrarily vary in their transition,…

Artificial Intelligence · Computer Science 2025-10-29 Eline M. Bovy , Caleb Probine , Marnix Suilen , Ufuk Topcu , Nils Jansen

Composite endpoints are widely used as primary endpoints in clinical trials. Designing trials with time-to-event endpoints can be particularly challenging because the proportional hazard assumption usually does not hold when using a…

Methodology · Statistics 2022-11-07 Jordi Cortés Martinez , Marta Bofill Roig , Guadalupe Gómez Melis

We consider the problem of black-box multi-objective optimization (MOO) using expensive function evaluations (also referred to as experiments), where the goal is to approximate the true Pareto set of solutions by minimizing the total…

Machine Learning · Computer Science 2021-11-05 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Let the design of an experiment be represented by an $s$-dimensional vector $\mathbf {w}$ of weights with nonnegative components. Let the quality of $\mathbf {w}$ for the estimation of the parameters of the statistical model be measured by…

Statistics Theory · Mathematics 2015-10-16 Guillaume Sagnol , Radoslav Harman

Consider the problem of constructing an experimental design, optimal for estimating parameters of a given statistical model with respect to a chosen criterion. To address this problem, the literature usually provides a single solution.…

Computation · Statistics 2024-11-05 Radoslav Harman , Lenka Filová , Samuel Rosa

Scientific optimization problems are usually concerned with balancing multiple competing objectives, which come as preferences over both the outcomes of an experiment (e.g. maximize the reaction yield) and the corresponding input parameters…

Machine Learning · Computer Science 2025-01-28 Mohammad Haddadnia , Leonie Grashoff , Felix Strieth-Kalthoff

Model-based design of experiments (MBDOE) is essential for efficient parameter estimation in nonlinear dynamical systems. However, conventional adaptive MBDOE requires costly posterior inference and design optimization between each…

Machine Learning · Statistics 2026-03-25 Arno Strouwen , Sebastian Micluţa-Câmpeanu

Mixture-of-Experts (MoE) presents a naturally compatible and scalable framework for multimodal learning, demonstrating strong adaptability across diverse modalities and tasks. Despite its growing success, a comprehensive and systematic…

Machine Learning · Computer Science 2026-05-28 Liangwei Nathan Zheng , Wei Emma Zhang , Olaf Maennel , Lin Yue , Weitong Chen

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

We present a review of methods for optimal experimental design (OED) for Bayesian inverse problems governed by partial differential equations with infinite-dimensional parameters. The focus is on problems where one seeks to optimize the…

Optimization and Control · Mathematics 2021-02-01 Alen Alexanderian

Advances in multimodal models have greatly improved how interactions relevant to various tasks are modeled. Today's multimodal models mainly focus on the correspondence between images and text, using this for tasks like image-text matching.…

Computation and Language · Computer Science 2024-09-27 Haofei Yu , Zhengyang Qi , Lawrence Jang , Ruslan Salakhutdinov , Louis-Philippe Morency , Paul Pu Liang

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