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An important issue for many economic experiments is how the experimenter can ensure sufficient power for rejecting one or more hypotheses. Here, we apply methods developed mainly within the area of clinical trials for testing multiple…

Methodology · Statistics 2021-08-06 Sebastian Jobjörnsson , Henning Schaak , Oliver Mußhoff , Tim Friede

Column generation (CG) is one of the most successful approaches for solving large-scale linear programming (LP) problems. Given an LP with a prohibitively large number of variables (i.e., columns), the idea of CG is to explicitly consider…

Optimization and Control · Mathematics 2024-04-09 Haofeng Yuan , Lichang Fang , Shiji Song

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

We consider optimal experimental design (OED) for Bayesian inverse problems, where the experimental design variables have a certain multiway structure. Given $d$ different experimental variables with $m_i$ choices per design variable $1 \le…

Numerical Analysis · Mathematics 2025-06-03 Hugo Díaz , Arvind K. Saibaba , Srinivas Eswar , Vishwas Rao , Zichao Wendy Di

In this paper, we propose a novel mixed integer programming model to formulate integrated operating room planning and scheduling problems, where several mandatory and elective surgeries are to be assigned and scheduled in operating rooms on…

Optimization and Control · Mathematics 2026-04-28 Mahdi Dolatkhah , Hossein Hashemi Doulabi , Walter Rei , Michel Gendreau

Motivated by the problem of reducing the peak to average power ratio (PAPR) of transmitted signals, we consider a design of complementary set matrices whose column sequences satisfy a correlation constraint. The design algorithm recursively…

Information Theory · Computer Science 2007-07-13 Di Wu , Predrag Spasojevic

We describe a new family of coupling designs, extending the basic principle of stratified randomization to experiments with continuous, constrained multivariate, text/image and other irregular treatment spaces. Our approach is to first…

Econometrics · Economics 2026-04-14 Max Cytrynbaum , Fredrik Sävje

Compacting orthogonal drawings is a challenging task. Usually algorithms try to compute drawings with small area or edge length while preserving the underlying orthogonal shape. We present a one-dimensional compaction algorithm that alters…

Data Structures and Algorithms · Computer Science 2017-06-21 Michael Jünger , Petra Mutzel , Christiane Spisla

Augmented block designs for unreplicated test treatments are investigated under the A- and MV-criteria with respect to control versus control, test versus test and control versus test comparisons. We derive design-independent lower bounds…

Statistics Theory · Mathematics 2023-10-31 Rahul Mukerjee

Model trees provide an appealing way to perform interpretable machine learning for both classification and regression problems. In contrast to ``classic'' decision trees with constant values in their leaves, model trees can use linear…

Machine Learning · Computer Science 2026-03-11 Sabino Francesco Roselli , Eibe Frank

Detecting outliers or anomalies is a common data analysis task. As a sub-field of unsupervised machine learning, a large variety of approaches exist, but the vast majority treats the input features as independent and often fails to…

Machine Learning · Computer Science 2021-02-05 Jörn Hees , Dayananda Herurkar , Mario Meier

Nonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability…

Pattern Formation and Solitons · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

Permutation-based partial-correlation tests guarantee finite-sample Type I error control under any fixed design and exchangeable noise, yet their power can collapse when the permutation-augmented design aligns too closely with the covariate…

Methodology · Statistics 2025-06-04 Tianyi Wang , Guanghui Wang , Zhaojun Wang , Changliang Zou

This paper continues the application of circuit theory to experimental design started by the first two authors. The theory gives a very special and detailed representation of the kernel of the design model matrix. This representation turns…

Computation · Statistics 2021-06-22 Roberto Fontana , Fabio Rapallo , Henry P. Wynn

We combine MAP-Elites and highly parallelisable simulation to explore the design space of a class of large legged robots, which stand at around 2m tall and whose design and construction is not well-studied. The simulation is modified to…

Neural and Evolutionary Computing · Computer Science 2020-04-20 David Howard , Thomas Lowe , Wade Geles

An additive growth curve model with orthogonal design matrices is proposed in which observations may have different profile forms. The proposed model allows us to fit data and then estimate parameters in a more parsimonious way than the…

Statistics Theory · Mathematics 2012-01-06 Jianhua Hu , Guohua Yan , Jinhong You

This paper deals with a new design methodology for stratified comparative experiments based on interacting reinforced urn systems. The key idea is to model the interaction between urns for borrowing information across strata and to use it…

The study of experimental design offers tremendous benefits for answering causal questions across a wide range of applications, including agricultural experiments, clinical trials, industrial experiments, social experiments, and digital…

Methodology · Statistics 2024-08-27 Jinglong Zhao

Adaptive designs for clinical trials permit alterations to a study in response to accumulating data in order to make trials more flexible, ethical and efficient. These benefits are achieved while preserving the integrity and validity of the…

We investigate block designs, under the A- and MV-criteria, when each treatment can have only one or two replications due to resource constraints, as can happen, for example, in early generation varietal trials. While these are commonly…

Statistics Theory · Mathematics 2026-03-25 R. A. Bailey , Rahul Mukerjee