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A parameter space procedure for designing chosen parameters of a repetitive controller to satisfy a robust performance criterion is presented. Using this method, low order robust repetitive controllers can be designed and implemented for…

Systems and Control · Computer Science 2014-12-02 Burak Demirel , Levent Guvenc

This paper proposes a novel criterion for the allocation of patients in Phase~I dose-escalation clinical trials aiming to find the maximum tolerated dose (MTD). Conventionally, using a model-based approach the next patient is allocated to…

Methodology · Statistics 2018-07-17 Pavel Mozgunov , Thomas Jaki

An envelope is a targeted dimension reduction subspace for simultaneously achieving dimension reduction and improving parameter estimation efficiency. While many envelope methods have been proposed in recent years, all envelope methods…

Methodology · Statistics 2017-09-18 Xin Zhang , Qing Mai

A basic problem in constant dimension subspace coding is to determine the maximal possible size ${\bf A}_q(n,d,k)$ of a set of $k$-dimensional subspaces in ${\bf F}_q^n$ such that the subspace distance satisfies…

Information Theory · Computer Science 2020-08-25 Huimin Lao , Hao Chen , Jian Weng , Xiaoqing Tan

Broadening eligibility criteria in cancer trials has been advocated to represent the true patient population more accurately. While the advantages are clear in terms of generalizability and recruitment, novel dose-finding designs are needed…

Applications · Statistics 2023-01-12 Rebecca B. Silva , Bin Cheng , Richard D. Carvajal , Shing M. Lee

Studies of the degrees of freedom or "synergies" in musculoskeletal systems rely critically on algorithms to estimate the "dimension" of kinematic or neural data. Linear algorithms such as principal component analysis (PCA) are used almost…

Quantitative Methods · Quantitative Biology 2007-05-23 Robert H. Clewley , John M. Guckenheimer , Francisco J. Valero-Cuevas

A common challenge in computer experiments and related fields is to efficiently explore the input space using a small number of samples, i.e., the experimental design problem. Much of the recent focus in the computer experiment literature,…

Methodology · Statistics 2019-07-01 Boya Zhang , D. Austin Cole , Robert B. Gramacy

Scientific software is often driven by multiple parameters that affect both accuracy and performance. Since finding the optimal configuration of these parameters is a highly complex task, it extremely common that the software is used…

Computational Engineering, Finance, and Science · Computer Science 2016-08-17 Diego Fabregat-Traver , Ahmed E. Ismail , Paolo Bientinesi

Design optimisation potentially leads to lightweight aircraft structures with lower environmental impact. Due to the high number of design variables and constraints, these problems are ordinarily solved using gradient-based optimisation…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 Hauke Maathuis , Roeland De Breuker , Saullo G. P. Castro

Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model. Gaussian processes have limited applicability in…

Applications · Statistics 2025-12-04 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Modelling, parameter identification, and simulation play an important role in systems biology. Usually, the goal is to determine parameter values that minimise the difference between experimental measurement values and model predictions in…

Mathematical Software · Computer Science 2013-04-10 Thomas Dierkes , Susanna Röblitz , Moritz Wade , Peter Deuflhard

The quality of an estimated nonlinear model highly depends on the data quality that was used for the system identification. By using a Gaussian Process-based optimal input design approach, a so-called space-filling dataset can be generated…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Máté Kiss , Maarten Schoukens , Roland Tóth

Dynamical systems describe the changes in processes that arise naturally from their underlying physical principles, such as the laws of motion or the conservation of mass, energy or momentum. These models facilitate a causal explanation for…

Methodology · Statistics 2023-10-11 Michelle Carey , James O. Ramsay

The domain of analysis and conception of Decisional Information System (DIS) is, highly, applying new techniques and methods to succeed the process of the decision and minimizing the time of conception. Our objective in this paper is to…

Other Computer Science · Computer Science 2013-04-22 Sabri Aziza , Kjiri Laila

We investigate the problem of best policy identification in discounted linear Markov Decision Processes in the fixed confidence setting under a generative model. We first derive an instance-specific lower bound on the expected number of…

Machine Learning · Computer Science 2022-08-12 Jerome Taupin , Yassir Jedra , Alexandre Proutiere

Physical models of biological systems can become difficult to interpret when they have a large number of parameters. But the models themselves actually depend on (i.e. are sensitive to) only a subset of those parameters. Rigorously…

Biological Physics · Physics 2018-11-27 Chieh-Ting Hsu , Gary J. Brouhard , Paul François

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

Automated drug dispensing systems (ADDSs) are increasingly in demand in today's pharmacies, primarily driven by the growing ageing population. Recognizing the practical challenges faced by pharmacies implementing ADDSs, this study aims to…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Mengge Yuan , Kan Wu , Ning Zhao

High-dimensional data that evolve dynamically feature predominantly in the modern data era. As a partial response to this, recent years have seen increasing emphasis to address the dimensionality challenge. However, the non-static nature of…

Methodology · Statistics 2019-01-21 Binyan Jiang , Ziqi Chen , Chenlei Leng

Within an industrial manufacturing process, tolerancing is a key player. The dimensions uncertainties management starts during the design phase, with an assessment on variability of parts not yet produced. For one assembly step, we can gain…

Applications · Statistics 2019-12-20 Ambre Diet , Nicolas Couellan , Xavier Gendre , Julien Martin