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Design patterns provide a systematic way to convey solutions to recurring modeling challenges. This paper introduces design patterns for hybrid modeling, an approach that combines modeling based on first principles with data-driven modeling…

Artificial Intelligence · Computer Science 2024-01-02 Maja Rudolph , Stefan Kurz , Barbara Rakitsch

In computer experiments, it has become a standard practice to select the inputs that spread out as uniformly as possible over the design space. The resulting designs are called space-filling designs and they are undoubtedly desirable…

Methodology · Statistics 2025-05-06 Guangzhou Chen , Yuanzhen He , C. Devon Lin , Fasheng Sun

Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the…

Neurons and Cognition · Quantitative Biology 2016-11-02 Elliot A. Martin , Jaroslav Hlinka , Jörn Davidsen

We analyze different ways of pairing agents in a bipartite matching problem, with regard to its scaling properties and to the distribution of individual ``satisfactions''. Then we explore the role of partial information and bounded…

Statistical Mechanics · Physics 2009-11-10 Paolo Laureti , Yi-Cheng Zhang

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

Methodology · Statistics 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

Functional protein-protein interactions are crucial in most cellular processes. They enable multi-protein complexes to assemble and to remain stable, and they allow signal transduction in various pathways. Functional interactions between…

Biomolecules · Quantitative Biology 2018-11-14 Anne-Florence Bitbol

This paper combines the idea of a hierarchical distributed genetic algorithm with different inter-agent partnering strategies. Cascading clusters of sub-populations are built from bottom up, with higher-level sub-populations optimising…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Higher-order information theory has become a rapidly growing toolkit in computational neuroscience, motivated by the idea that multivariate dependencies can reveal aspects of neural computation and communication that are invisible to…

Neurons and Cognition · Quantitative Biology 2025-12-03 D. Rebbin , K. J. A. Down , T. F. Varley , R. Ince , A. Canales-Johnson

The analysis of experimental data with mixed-effects models requires decisions about the specification of the appropriate random-effects structure. Recently, Barr, Levy, Scheepers, and Tily, 2013 recommended fitting `maximal' models with…

Methodology · Statistics 2018-05-29 Douglas Bates , Reinhold Kliegl , Shravan Vasishth , Harald Baayen

Discrete Choice Experiments (DCEs) investigate participants' preferences by observing their choice behavior in hypothetical scenarios and are widely used in the domain of healthcare. To reduce participants' cognitive burden, especially when…

Methodology · Statistics 2026-04-07 Yicheng Mao , Roselinde Kessels

Mechanistic mathematical models of biological systems usually contain a number of unknown parameters whose values need to be estimated from available experimental data in order for the models to be validated and used to make quantitative…

Quantitative Methods · Quantitative Biology 2025-06-16 Yue Liu , Philip K. Maini , Ruth E. Baker

With the large language model showing human-like logical reasoning and understanding ability, whether agents based on the large language model can simulate the interaction behavior of real users, so as to build a reliable virtual…

Information Retrieval · Computer Science 2024-03-05 Chenwei Zhang , Wenran Lu , Chunhe Ni , Hongbo Wang , Jiang Wu

Copula modelling has in the past decade become a standard tool in many areas of applied statistics. However, a largely neglected aspect concerns the design of related experiments. Particularly the issue of whether the estimation of copula…

Methodology · Statistics 2014-06-12 Elisa Perrone , Werner G. Müller

The issue of determining not only an adequate dose but also a dosing frequency of a drug arises frequently in Phase II clinical trials. This results in the comparison of models which have some parameters in common. Planning such studies…

Methodology · Statistics 2017-11-16 Kirsten Schorning , Maria Konstantinou

In this article, universally optimal multivariate crossover designs are studied. The multiple response crossover design is motivated by a $3 \times 3$ crossover setup, where the effect of $3$ doses of an oral drug are studied on gene…

Methodology · Statistics 2024-07-16 Shubham Niphadkar , Siuli Mukhopadhyay

This paper traces the strong relations between experimental design and control, such as the use of optimal inputs to obtain precise parameter estimation in dynamical systems and the introduction of suitably designed perturbations in…

Optimization and Control · Mathematics 2008-03-03 Luc Pronzato

We consider nonregular fractions of factorial experiments for a class of linear models. These models have a common general mean and main effects, however they may have different 2-factor interactions. Here we assume for simplicity that…

Computation · Statistics 2019-11-11 Shrabanti Chowdhury , Joshua Lukemire , Abhyuday Mandal

When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of infecting others. The social cost of such adaptive behaviors…

Physics and Society · Physics 2026-02-06 Marco Mancastroppa , Márton Karsai , Alain Barrat

We consider the problem of finding the $k^{th}$ highest element in a totally ordered set of $n$ elements (select), and partitioning a totally ordered set into the top $k$ and bottom $n-k$ elements (partition) using pairwise comparisons.…

Data Structures and Algorithms · Computer Science 2016-03-17 Mark Braverman , Jieming Mao , S. Matthew Weinberg

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

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