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Stochastic process models are now commonly used to analyse complex biological, ecological and industrial systems. Increasingly there is a need to deliver accurate estimates of model parameters and assess model fit by optimizing the timing…

Computation · Statistics 2018-09-18 Colin S. Gillespie , Richard J. Boys

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

Optimization and Control · Mathematics 2013-10-03 Victor Picheny

The partially observable constrained optimization problems (POCOPs) impede data-driven optimization techniques since an infeasible solution of POCOPs can provide little information about the objective as well as the constraints. We endeavor…

Machine Learning · Computer Science 2023-12-27 Shengbo Wang , Ke Li

We propose a new procedure named PASOA, for Bayesian experimental design, that performs sequential design optimization by simultaneously providing accurate estimates of successive posterior distributions for parameter inference. The…

Machine Learning · Statistics 2024-10-16 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

Optimization and Control · Mathematics 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

In ecology we may find scenarios where the same phenomenon (species occurrence, species abundance, etc.) is observed using two different types of samplers. For instance, species data can be collected from scientific sampling with a…

Impractical assumptions, an inherently myopic nature, and the crucial role of the initial design, all together contribute to making theoretical convergence proofs of little value in real-life Bayesian Optimization applications. In this…

Optimization and Control · Mathematics 2026-02-13 Antonio Candelieri , Francesco Archetti

Randomized controlled experiments assess new policy impacts on performance metrics to inform launch decisions. Traditional approaches evaluate metrics independently despite correlations, and mixed results (e.g., positive revenue impact,…

Applications · Statistics 2026-01-29 Hoiyi Ng , Guido Imbens

We study the problem of selecting $k$ experiments from a larger candidate pool, where the goal is to maximize mutual information (MI) between the selected subset and the underlying parameters. Finding the exact solution is to this…

Machine Learning · Statistics 2024-02-26 Fengyi Li , Ayoub Belhadji , Youssef Marzouk

Two-phase designs involve measuring extra variables on a subset of the cohort where some variables are already measured. The goal of two-phase designs is to choose a subsample of individuals from the cohort and analyse that subsample…

Applications · Statistics 2020-10-12 Tong Chen , Thomas Lumley

Bayesian optimization works effectively optimizing parameters in black-box problems. However, this method did not work for high-dimensional parameters in limited trials. Parameters can be efficiently explored by nonlinearly embedding them…

Machine Learning · Computer Science 2022-06-14 Shoki Miyagawa , Atsuyoshi Yano , Naoko Sawada , Isamu Ogawa

We consider the problem of constructing optimal designs for population pharmacokinetics which use random effect models. It is common practice in the design of experiments in such studies to assume uncorrelated errors for each subject. In…

Applications · Statistics 2010-11-16 Holger Dette , Andrey Pepelyshev , Tim Holland-Letz

Determining the causal structure of a set of variables is critical for both scientific inquiry and decision-making. However, this is often challenging in practice due to limited interventional data. Given that randomized experiments are…

Methodology · Statistics 2019-02-28 Raj Agrawal , Chandler Squires , Karren Yang , Karthik Shanmugam , Caroline Uhler

Nonuniform subsampling methods are effective to reduce computational burden and maintain estimation efficiency for massive data. Existing methods mostly focus on subsampling with replacement due to its high computational efficiency. If the…

Methodology · Statistics 2021-07-06 Jun Yu , HaiYing Wang , Mingyao Ai , Huiming Zhang

Adhesive joints are increasingly used in industry for a wide variety of applications because of their favorable characteristics such as high strength-to-weight ratio, design flexibility, limited stress concentrations, planar force transfer,…

Here we introduce a new design framework for synthetic biology that exploits the advantages of Bayesian model selection. We will argue that the difference between inference and design is that in the former we try to reconstruct the system…

Molecular Networks · Quantitative Biology 2015-05-27 Chris Barnes , Daniel Silk , Xia Sheng , Michael P. H. Stumpf

Faced with massive data, subsampling is a commonly used technique to improve computational efficiency, and using nonuniform subsampling probabilities is an effective approach to improve estimation efficiency. For computational efficiency,…

Statistics Theory · Mathematics 2022-05-19 Jing Wang , Jiahui Zou , HaiYing Wang

We have developed a Bayesian optimization (BO) workflow that integrates intra-step noise optimization into automated experimental cycles. Traditional BO approaches in automated experiments focus on optimizing experimental trajectories but…

This paper considers the problem of designing time-dependent, real-time control policies for controllable nonlinear diffusion processes, with the goal of obtaining maximally-informative observations about parameters of interest. More…

Methodology · Statistics 2014-10-16 Giles Hooker , Kevin K. Lin , Bruce Rogers

Pharmacodynamic (PD) models are mathematical models of cellular reaction networks that include drug mechanisms of action. These models are useful for studying predictive therapeutic outcomes of novel drug therapies in silico. However, PD…

Molecular Networks · Quantitative Biology 2023-09-27 Natalie M. Isenberg , Susan D. Mertins , Byung-Jun Yoon , Kristofer Reyes , Nathan M. Urban