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In the field of population health research, understanding the similarities between geographical areas and quantifying their shared effects on health outcomes is crucial. In this paper, we synthesise a number of existing methods to create a…

Applications · Statistics 2023-11-27 Wala Draidi Areed , Aiden Price , Helen Thompson , Reid Malseed , Kerrie Mengersen

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

Optimization and Control · Mathematics 2025-05-13 Boyang Shen , Junyi Liu

In many decision-making problems, the primary outcome is expensive, time-consuming, or difficult to observe, so individualized treatment rules (ITRs) may be instead learned from surrogate endpoints. However, a surrogate that is highly…

Methodology · Statistics 2026-04-13 Zeyu Xu , Xiaojie Mao , Hao Mei , Yue Liu

The primary benefit of identifying a valid surrogate marker is the ability to use it in a future trial to test for a treatment effect with shorter follow-up time or less cost. However, previous work has demonstrated potential heterogeneity…

Methodology · Statistics 2022-09-20 Layla Parast , Tianxi Cai , Lu Tian

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

The ongoing development of quantum processors is driving breakthroughs in scientific discovery. Despite this progress, the formidable cost of fabricating large-scale quantum processors means they will remain rare for the foreseeable future,…

Quantum Physics · Physics 2025-07-24 Wei-You Liao , Yuxuan Du , Xinbiao Wang , Tian-Ci Tian , Yong Luo , Bo Du , Dacheng Tao , He-Liang Huang

Computational models are utilized in many scientific domains to simulate complex systems. Sensitivity analysis is an important practice to aid our understanding of the mechanics of these models and the processes they describe, but…

Methodology · Statistics 2022-08-12 Massimo Aufiero , Lucas Janson

This paper considers multiple binary hypothesis tests with adaptive allocation of sensing resources from a shared budget over a small number of stages. A Bayesian formulation is provided for the multistage allocation problem of minimizing…

Methodology · Statistics 2014-11-05 Dennis Wei

A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Hoang Tien Nguyen , Young-Jin Kim , Dae-Hyun Choi

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

Numerical Analysis · Mathematics 2018-07-04 Steven Mattis , Barbara Wohlmuth

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

Machine Learning · Statistics 2026-05-26 Alexander Shen , Mikael Kuusela

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

Neural and Evolutionary Computing · Computer Science 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

Given the long follow-up periods that are often required for treatment or intervention studies, the potential to use surrogate markers to decrease the required follow-up time is a very attractive goal. However, previous studies have shown…

Methodology · Statistics 2016-08-12 Layla Parast , Tianxi Cai , Lu Tian

We consider Bayesian design of experiments problems in which we maximise the prior expectation of a utility function over a set of permutations, for example when sequencing a number of tasks to perform. When the number of tasks is large and…

Methodology · Statistics 2018-05-03 Kevin J Wilson , Daniel A Henderson , John Quigley

Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surrogate modelling in combination with self-supervised…

Machine Learning · Computer Science 2023-01-02 Maternus Herold , Anna Veselovska , Jonas Jehle , Felix Krahmer

We propose an efficient surrogate modeling technique for uncertainty quantification. The method is based on a well-known dimension-adaptive collocation scheme. We improve the scheme by enhancing sparse polynomial surrogates with conformal…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Niklas Georg , Dimitrios Loukrezis , Ulrich Römer , Sebastian Schöps

We present an adaptive approach to the construction of Gaussian process surrogates for Bayesian inference with expensive-to-evaluate forward models. Our method relies on the fully Bayesian approach to training Gaussian process models and…

Machine Learning · Statistics 2018-10-01 Timur Takhtaganov , Juliane Müller

The computational effort for the evaluation of numerical simulations based on e.g. the finite-element method is high. Metamodels can be utilized to create a low-cost alternative. However the number of required samples for the creation of a…

Machine Learning · Statistics 2019-05-15 Jan N. Fuhg

The identification of surrogate markers is motivated by their potential to make decisions sooner about a treatment effect. However, few methods have been developed to actually use a surrogate marker to test for a treatment effect in a…

Methodology · Statistics 2024-09-17 Layla Parast , Jay Bartroff

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

Methodology · Statistics 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo
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