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This study presents a generative optimization framework based on a guided denoising diffusion probabilistic model (DDPM) that leverages surrogate gradients to generate heat sink designs minimizing pressure drop while maintaining surface…

Machine Learning · Computer Science 2025-11-14 Hadi Keramati , Morteza Sadeghi , Rajeev K. Jaiman

Microchannel heat sinks are an efficient cooling method for semiconductor packages. However, to properly cool increasingly complex and thermally dense circuits, microchannel designs should be improved and expanded on. In this paper,…

Fluid Dynamics · Physics 2022-12-12 Ante Sikirica , Luka Grbčić , Lado Kranjčević

This work presents a robust design optimization approach for a char combustion process in a limited-data setting, where simulations of the fluid-solid coupled system are computationally expensive. We integrate a polynomial dimensional…

Optimization and Control · Mathematics 2025-03-11 Yulin Guo , Dongjin Lee , Boris Kramer

Power modules with excellent inductance and temperature metrics are significant to meet the rising sophistication of energy demand in new technologies. In this paper, we use a surrogate-based approach to render optimal layouts of power…

Neural and Evolutionary Computing · Computer Science 2023-12-15 Victor Parque , Aiki Nakamura , Tomoyuki Miyashita

With the increasing power density of electronics components, the heat dissipation capacity of heat sinks gradually becomes a bottleneck. Many structural optimization methods, including topology optimization, have been widely used for heat…

Fluid Dynamics · Physics 2021-10-07 Tao Zeng , Hu Wang , Mengzhu Yang , Joe Alexandersen

In surrogate modeling, polynomial chaos expansion (PCE) is popularly utilized to represent the random model responses, which are computationally expensive and usually obtained by deterministic numerical modeling approaches including finite…

Computation · Statistics 2020-06-01 Z. Liu , D. Lesselier , B. Sudret , J. Wiart

Optimal Bayesian design techniques provide an estimate for the best parameters of an experiment in order to maximize the value of measurements prior to the actual collection of data. In other words, these techniques explore the space of…

Computational Physics · Physics 2020-08-11 Alexander Tarakanov , Ahmed H. Elsheikh

The layout optimization of the heat conduction is essential during design in engineering, especially for thermal sensible products. When the optimization algorithm iteratively evaluates different loading cases, the traditional numerical…

Machine Learning · Computer Science 2022-01-26 Hao Ma , Yang Sun , Mario Chiarelli

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

In the last few years, energy efficiency has become a challenge. Not only mitigating environmental impact but reducing energy waste can lead to financial advantages. Buildings play an important role in this: they are among the biggest…

Systems and Control · Electrical Eng. & Systems 2026-01-30 B. da Costa Paulo , N. Aginako , J. Ugartemendia , I. Landa del Barrio , M. Quartulli , H. Camblong

In the field of surrogate modeling, polynomial chaos expansion (PCE) allows practitioners to construct inexpensive yet accurate surrogates to be used in place of the expensive forward model simulations. For black-box simulations,…

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge

High-fidelity computational fluid dynamics (CFD) simulations are widely used to analyze nuclear reactor transients, but are computationally expensive when exploring large parameter spaces. Multifidelity surrogate models offer an approach to…

Machine Learning · Computer Science 2026-03-17 Meredith Eaheart , Majdi I. Radaideh

Physics-informed polynomial chaos expansions (PC$^2$) provide an efficient physically constrained surrogate modeling framework by embedding governing equations and other physical constraints into the standard data-driven polynomial chaos…

Machine Learning · Statistics 2025-12-12 Qitian Lu , Himanshu Sharma , Michael D. Shields , Lukáš Novák

The selection of optimal design for power electronic converter parameters involves balancing efficiency and thermal constraints to ensure high performance without compromising safety. This paper introduces a probabilistic-learning-based…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Akash Mahajan , Shivam Chaturvedi , Srijita Das , Wencong Su , Van-Hai Bui

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

Computational fluid dynamics (CFD) simulations, a critical tool in various engineering applications, often require significant time and compute power to predict flow properties. The high computational cost associated with CFD simulations…

Machine Learning · Computer Science 2022-05-18 Tongtao Zhang , Biswadip Dey , Krishna Veeraraghavan , Harshad Kulkarni , Amit Chakraborty

Careful design of semiconductor manufacturing equipment is crucial for ensuring the performance, yield, and reliability of semiconductor devices. Despite this, numerical optimization methods are seldom applied to optimize the design of such…

Computational Engineering, Finance, and Science · Computer Science 2024-11-14 Bingran Wang , Min Sung Kim , Taewoong Yoon , Dasom Lee , Byeong-Sang Kim , Dougyong Sung , John T. Hwang

The surrogate model-based uncertainty quantification method has drawn much attention in many engineering fields. Polynomial chaos expansion (PCE) and deep learning (DL) are powerful methods for building a surrogate model. However, PCE needs…

Machine Learning · Computer Science 2022-03-02 Wen Yao , Xiaohu Zheng , Jun Zhang , Ning Wang , Guijian Tang

The computational burden of running a complex computer model can make optimization impractical. Gaussian Processes (GPs) are statistical surrogates (also known as emulators) that alleviate this issue since they cheaply replace the computer…

Computation · Statistics 2019-09-11 Theodoros Mathikolonis , Serge Guillas
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