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Mixed-effect models are flexible tools for researchers in a myriad of fields, but that flexibility comes at the cost of complexity and if users are not careful in how their model is specified, they could be making faulty inferences from…

Methodology · Statistics 2023-08-28 Keith R. Lohse , Allan J. Kozlowski , Michael J. Strube

In this work, we present a novel algorithm design methodology that finds the optimal algorithm as a function of inequalities. Specifically, we restrict convergence analyses of algorithms to use a prespecified subset of inequalities, rather…

Optimization and Control · Mathematics 2024-03-25 Chanwoo Park , Ernest K. Ryu

Experiments on online marketplaces and social networks suffer from interference, where the outcome of a unit is impacted by the treatment status of other units. We propose a framework for modeling interference using a ubiquitous deployment…

Methodology · Statistics 2023-08-21 Ariel Boyarsky , Hongseok Namkoong , Jean Pouget-Abadie

We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are proved with the first-order accuracy in time (and second order…

Numerical Analysis · Mathematics 2019-05-15 Xiangcheng Zheng , Fanhai Zeng , Hong Wang

Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of non-linear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations…

Methodology · Statistics 2019-05-02 Antony Overstall , David Woods , Ben Parker

This paper deals exclusively with crossover designs for the purpose of comparing t test treatments with a control treatment when the number of periods is no larger than t+1. Among other results it specifies sufficient conditions for a…

Statistics Theory · Mathematics 2007-06-13 A. S. Hedayat , Min Yang

Suppose an online platform wants to compare a treatment and control policy, e.g., two different matching algorithms in a ridesharing system, or two different inventory management algorithms in an online retail site. Standard randomized…

Methodology · Statistics 2022-12-27 Peter Glynn , Ramesh Johari , Mohammad Rasouli

Optimal design is a critical yet challenging task within many applications. This challenge arises from the need for extensive trial and error, often done through simulations or running field experiments. Fortunately, sequential optimal…

Machine Learning · Computer Science 2025-03-25 Xubo Yue , Raed Al Kontar , Albert S. Berahas , Yang Liu , Blake N. Johnson

The performance of multiobjective algorithms varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective algorithms, there has…

Neural and Evolutionary Computing · Computer Science 2022-07-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

Optimal experiment design for parameter estimation is a research topic that has been in the interest of various studies. A key problem in optimal input design is that the optimal input depends on some unknown system parameters that are to…

Systems and Control · Computer Science 2019-04-17 Lirong Huang , Håkan Hjalmarsson , László Gerencsér

A combinatorial intervention, consisting of multiple treatments applied to a single unit with potentially interactive effects, has substantial applications in fields such as biomedicine, engineering, and beyond. Given $p$ possible…

Machine Learning · Computer Science 2025-06-05 Divya Shyamal , Jiaqi Zhang , Caroline Uhler

Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

Materials Science · Physics 2025-10-10 Şener Özönder

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

Machine Learning · Computer Science 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

While many production-ready and robust algorithms are available for the task of recommendation systems, many of these systems do not take the order of user's consumption into account. The order of consumption can be very useful and matters…

Information Retrieval · Computer Science 2022-05-03 Mehdi Soleiman Nejad , Meysam Varasteh , Hadi Moradi , Mohammad Amin Sadeghi

We introduce ordered transfer hyperparameter optimisation (OTHPO), a version of transfer learning for hyperparameter optimisation (HPO) where the tasks follow a sequential order. Unlike for state-of-the-art transfer HPO, the assumption is…

Machine Learning · Computer Science 2023-06-30 Sigrid Passano Hellan , Huibin Shen , François-Xavier Aubet , David Salinas , Aaron Klein

The design of experiments in psychology can often be summarized to participants reacting to stimuli. For such an experiment, the mixed effects model with crossed random effects is usually the appropriate tool to analyse the data because it…

Methodology · Statistics 2020-10-19 Jaromil Frossard , Olivier Renaud

The concept of effective order is a popular methodology in the deterministic literature for the construction of efficient and accurate integrators for differential equations over long times. The idea is to enhance the accuracy of a…

Numerical Analysis · Mathematics 2016-08-18 Gilles Vilmart

Fractional-order dynamical systems were recently introduced in the field of pharmacokinetics where they proved powerful tools for modeling the absorption, disposition, distribution and excretion of drugs which are liable to anomalous…

Demand response is designed to motivate electricity customers to modify their loads at critical time periods. The accurate estimation of impact of demand response signals to customers' consumption is central to any successful program. In…

Systems and Control · Computer Science 2017-05-03 Pan Li , Baosen Zhang
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