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Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

Enzymes are nano-scale machines that have evolved to drive chemical reactions out of equilibrium in the right place at the right time. Given the complexity and specificity of enzymatic function, bottom-up design of enzymes presents a…

Soft Condensed Matter · Physics 2025-05-28 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

We optimize the path of a mobile sensor to minimize the posterior uncertainty of a Bayesian inverse problem. Along its path, the sensor continuously takes measurements of the state, which is a physical quantity modeled as the solution of a…

Computational Engineering, Finance, and Science · Computer Science 2025-09-22 Nicole Aretz , Thomas Lynn , Karen Willcox , Sven Leyffer

We develop a new approach to robust adaptive beamforming in the presence of signal steering vector errors. Since the signal steering vector is known imprecisely, its presumed (prior) value is used to find a more accurate estimate of the…

Information Theory · Computer Science 2012-05-15 Arash Khabbazibasmenj , Sergiy A. Vorobyov , Aboulnasr Hassanien

The design and implementation of regulation motifs ensuring robust perfect adaptation are challenging problems in synthetic biology. Indeed, the design of high-yield robust metabolic pathways producing, for instance, drug precursors and…

Optimization and Control · Mathematics 2021-12-21 Corentin Briat , Christoph Zechner , Mustafa Khammash

Among the major difficulties that one may encounter when estimating parameters in a nonlinear regression model are the nonuniqueness of the estimator, its instability with respect to small perturbations of the observations and the presence…

Statistics Theory · Mathematics 2014-08-29 Andrej Pázman , Luc Pronzato

Inverse design of metasurfaces for specific electromagnetic responses requires generating geometries that satisfy stringent spectral constraints while maintaining manufacturability. Conventional design methodologies rely on iterative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Vineetha Joy , Jamshed Palai , Satwik Sahoo , Anshuman Kumar , Amit Sethi , Hema Singh

Engineering molecular systems that exhibit complex behavior requires the design of kinetic barriers. For example, an effective catalytic pathway must have a large barrier when the catalyst is absent. While programming such energy barriers…

Emerging Technologies · Computer Science 2020-01-28 Keenan Breik , Cameron Chalk , David Doty , David Haley , David Soloveichik

Inferring the causal structure of a system typically requires interventional data, rather than just observational data. Since interventional experiments can be costly, it is preferable to select interventions that yield the maximum amount…

Methodology · Statistics 2021-03-30 Michele Zemplenyi , Jeffrey W. Miller

The robust adaptive beamforming design problem based on estimation of the signal of interest steering vector is considered in the paper. In this case, the optimal beamformer is obtained by computing the sample matrix inverse and an optimal…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Yongwei Huang , Mingkang Zhou , Sergiy A. Vorobyov

We consider the problem of constructing optimal designs for model discrimination between competing regression models. Various new properties of optimal designs with respect to the popular $T$-optimality criterion are derived, which in many…

Statistics Theory · Mathematics 2009-08-14 Holger Dette , Stefanie Titoff

We present a method for computing A-optimal sensor placements for infinite-dimensional Bayesian linear inverse problems governed by PDEs with irreducible model uncertainties. Here, irreducible uncertainties refers to uncertainties in the…

Optimization and Control · Mathematics 2020-08-26 Karina Koval , Alen Alexanderian , Georg Stadler

We propose and discuss a novel strategy for protein design. The method is based on recent theoretical advancements which showed the importance to treat carefully the conformational free energy of designed sequences. In this work we show how…

Statistical Mechanics · Physics 2009-10-31 A. Rossi , A. Maritan , C. Micheletti

We develop a novel iterative algorithm for locally optimal experimental design under constraints, like budget or performance constraints. It is an adaptive discretization algorithm. In every iteration, a discretized version of the…

Optimization and Control · Mathematics 2026-04-21 Jochen Schmid , Philipp Seufert , Jan Schwientek , Tobias Seidel , Karl-Heinz Küfer

We present a detailed study of the performance and reliability of design procedures based on energy minimization. The analysis is carried out for model proteins where exact results can be obtained through exhaustive enumeration. The…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Amos Maritan

In this paper, the tools provided by the theory of Optimal Experimental Design are applied to a nonlinear calibration model. This is motivated by the need of estimating radiation doses using radiochromic films for radiotherapy purposes. The…

Applications · Statistics 2020-05-20 Jesús López-Fidalgo , Mariano Amo-Salas

In this work we deal with the optimal design and optimal control of structures undergoing large rotations. In other words, we show how to find the corresponding initial configuration and the corresponding set of multiple load parameters in…

Neural and Evolutionary Computing · Computer Science 2009-02-10 A. Ibrahimbegovic , C. Knopf-Lenoir , A. Kucerova , P. Villon

In this paper, we address the challenging problem of optimal experimental design (OED) of constrained inverse problems. We consider two OED formulations that allow reducing the experimental costs by minimizing the number of measurements.…

Numerical Analysis · Mathematics 2017-08-17 Lars Ruthotto , Julianne Chung , Matthias Chung

Protein design has the potential to revolutionize biotechnology and medicine. While most efforts have focused on proteins with well-defined structures, increased recognition of the functional significance of intrinsically disordered…

Biomolecules · Quantitative Biology 2025-09-17 Giulio Tesei , Francesco Pesce , Kresten Lindorff-Larsen

Although design optimization has shown its great power of automatizing the whole design process and providing an optimal design, using sophisticated computational models, its process can be formidable due to a computationally expensive…

Numerical Analysis · Mathematics 2019-09-26 Youngsoo Choi , Geoffrey Oxberry , Daniel White , Trenton Kirchdoerfer