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Pin fins are imperative in the cooling of turbine blades. The designs of pin fins, therefore, have seen significant research in the past. With the developments in metal additive manufacturing, novel design approaches toward complex…

Fluid Dynamics · Physics 2023-01-31 Susheel Dharmadhikari , Reid A. Berdanier , Karen A. Thole , Amrita Basak

Bayesian optimization is a powerful tool for solving real-world optimization tasks under tight evaluation budgets, making it well-suited for applications involving costly simulations or experiments. However, many of these tasks are also…

Machine Learning · Computer Science 2025-06-18 Paolo Ascia , Elena Raponi , Thomas Bäck , Fabian Duddeck

One of the main challenges in surrogate modeling is the limited availability of data due to resource constraints associated with computationally expensive simulations. Multi-fidelity methods provide a solution by chaining models in a…

The rise of machine learning and additive manufacturing has enabled the design of architected materials with tailored properties that surpass those of natural materials. Inverse design offers a data-efficient alternative to trial-and-error…

Applied Physics · Physics 2026-04-30 Hirak Kansara , Leo Guo , Wei Tan

Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information-updating rules. In many applications, however, prior distributions are introduced merely as…

Methodology · Statistics 2026-03-10 Yang Liu , Jonathan P. Williams , Jan Hannig

The presence of uncertainty in material properties and geometry of a structure is ubiquitous. The design of robust engineering structures, therefore, needs to incorporate uncertainty in the optimization process. Stochastic gradient descent…

Optimization and Control · Mathematics 2019-11-26 Subhayan De , Kurt Maute , Alireza Doostan

Bayesian optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

Machine Learning · Computer Science 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler

In this work we derive a second-order approach to bilevel optimization, a type of mathematical programming in which the solution to a parameterized optimization problem (the "lower" problem) is itself to be optimized (in the "upper"…

Optimization and Control · Mathematics 2022-05-06 Robert Dyro , Edward Schmerling , Nikos Arechiga , Marco Pavone

We present an efficient deterministic hypothesis generation algorithm for robust fitting of multiple structures based on the maximum feasible subsystem (MaxFS) framework. Despite its advantage, a global optimization method such as MaxFS has…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Kwang Hee Lee , Sang Wook Lee

Approximate Bayesian Computation (ABC) methods often require extensive simulations, resulting in high computational costs. This paper focuses on multifidelity simulation models and proposes a pre-filtering hierarchical importance sampling…

Computation · Statistics 2026-02-03 Xuefei Cao , Shijia Wang , Yongdao Zhou

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

Machine Learning · Computer Science 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Exact computation of the partition function is known to be intractable, necessitating approximate inference techniques. Existing methods for approximate inference are slow to converge for many benchmarks. The control of accuracy-complexity…

Artificial Intelligence · Computer Science 2023-09-29 Shivani Bathla , Vinita Vasudevan

Efficient optimization remains a fundamental challenge across numerous scientific and engineering domains, especially when objective function and gradient evaluations are computationally expensive. While zeroth-order optimization methods…

Machine Learning · Computer Science 2025-11-04 Nuojin Cheng , Alireza Doostan , Stephen Becker

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

Machine Learning · Statistics 2012-12-04 Xun Huan , Youssef M. Marzouk

Engineering problems often involve data sources of variable fidelity with different costs of obtaining an observation. In particular, one can use both a cheap low fidelity function (e.g. a computational experiment with a CFD code) and an…

Machine Learning · Statistics 2017-12-19 Alexey Zaytsev , Evgeny Burnaev

Optimal design of experiments for Bayesian inverse problems has recently gained wide popularity and attracted much attention, especially in the computational science and Bayesian inversion communities. An optimal design maximizes a…

Optimization and Control · Mathematics 2023-05-09 Ahmed Attia , Sven Leyffer , Todd Munson

The design of inertial fusion experiments is a complex task as driver energy must be delivered in a precise manner to a structured target to achieve a fast, but hydrodynamically stable, implosion. Radiation-hydrodynamics simulation codes…

Plasma Physics · Physics 2025-08-29 A. J. Crilly , P. W. Moloney , D. Shi , E. A. Ferdinandi

Rather than traditional position control, impedance control is preferred to ensure the safe operation of industrial robots programmed from demonstrations. However, variable stiffness learning studies have focused on task performance rather…

Robotics · Computer Science 2023-07-31 Masashi Okada , Mayumi Komatsu , Ryo Okumura , Tadahiro Taniguchi

Calculation of phase diagrams is one of the fundamental tools in alloy design---more specifically under the framework of Integrated Computational Materials Engineering. Uncertainty quantification of phase diagrams is the first step required…

The objective of this study is to establish a gradient-free topology optimization framework that facilitates more global solution searches to avoid entrapping in undesirable local optima, especially in problems with strong non-linearity.…

Optimization and Control · Mathematics 2025-03-07 Hiroki Kawabe , Kentaro Yaji , Yuichiro Aoki