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Topology optimization (TO) is a method of deriving an optimal design that satisfies a given load and boundary conditions within a design domain. This method enables effective design without initial design, but has been limited in use due to…

Machine Learning · Computer Science 2023-06-06 Seungyeon Shin , Dongju Shin , Namwoo Kang

Topology Optimization (TO) provides a systematic approach for obtaining structure design with optimum performance of interest. However, the process requires numerical evaluation of objective function and constraints at each iteration, which…

Machine Learning · Computer Science 2022-03-22 Ren Kai Tan , Chao Qian , Dan Xu , Wenjing Ye

Neural networks (NNs) hold great promise for advancing inverse design via topology optimization (TO), yet misconceptions about their application persist. This article focuses on neural topology optimization (neural TO), which leverages NNs…

Machine Learning · Computer Science 2025-12-01 Suryanarayanan Manoj Sanu , Alejandro M. Aragon , Miguel A. Bessa

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

The design of fluid channel structures of reactors or separators of chemical processes is key to enhancing the mass transfer processes inside the devices. However, the systematic design of channel topological structures is difficult for…

Fluid Dynamics · Physics 2025-03-07 Chenhui Kou , Yuhui Yin , Min Zhu , Shengkun Jia , Yiqing Luo , Xigang Yuana , Lu Lu

Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the…

Machine Learning · Computer Science 2025-06-18 Andreas Radler , Eric Volkmann , Johannes Brandstetter , Arturs Berzins

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

Machine Learning · Computer Science 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani

Topology optimization (TO) is a popular and powerful computational approach for designing novel structures, materials, and devices. Two computational challenges have limited the applicability of TO to a variety of industrial applications.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-01 Sirui Bi , Jiaxin Zhang , Guannan Zhang

Topology optimization is a critical task in engineering design, where the goal is to optimally distribute material in a given space for maximum performance. We introduce Neural Implicit Topology Optimization (NITO), a novel approach to…

Machine Learning · Computer Science 2024-02-08 Amin Heyrani Nobari , Giorgio Giannone , Lyle Regenwetter , Faez Ahmed

The published literature on topology optimization has exploded over the last two decades to include methods that use shape and topological derivatives or evolutionary algorithms formulated on various geometric representations and…

Machine Learning · Computer Science 2021-02-16 MohammadMahdi Behzadi , Horea T. Ilies

Topology optimization is computationally demanding that requires the assembly and solution to a finite element problem for each material distribution hypothesis. As a complementary alternative to the traditional physics-based topology…

Machine Learning · Computer Science 2018-08-23 Saurabh Banga , Harsh Gehani , Sanket Bhilare , Sagar Patel , Levent Kara

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

With the emergence of new photonic and plasmonic materials with optimized properties as well as advanced nanofabrication techniques, nanophotonic devices are now capable of providing solutions to global challenges in energy conversion,…

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

Machine Learning · Computer Science 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

End-to-end learning has become a widely applicable and studied problem in training predictive ML models to be aware of their impact on downstream decision-making tasks. These end-to-end models often outperform traditional methods that…

Machine Learning · Computer Science 2025-05-19 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

Topology optimization (TO) provides a principled mathematical approach for optimizing the performance of a structure by designing its material spatial distribution in a pre-defined domain and subject to a set of constraints. The majority of…

Machine Learning · Computer Science 2024-08-08 Amin Yousefpour , Shirin Hosseinmardi , Carlos Mora , Ramin Bostanabad

Topology optimization (TO) is a common technique used in free-form designs. However, conventional TO-based design approaches suffer from high computational cost due to the need for repetitive forward calculations and/or sensitivity…

Artificial Intelligence · Computer Science 2020-09-15 Chao Qian , Wenjing Ye

Topology optimization is widely used by engineers during the initial product development process to get a first possible geometry design. The state-of-the-art is the iterative calculation, which requires both time and computational power.…

Machine Learning · Computer Science 2021-09-30 Alex Halle , L. Flavio Campanile , Alexander Hasse

Topology Optimization (TO), which maximizes structural robustness under material weight constraints, is becoming an essential step for the automatic design of mechanical parts. However, existing TO algorithms use the Finite Element Analysis…

Robotics · Computer Science 2022-04-14 Zherong Pan , Xifeng Gao , Kui Wu

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

Materials Science · Physics 2024-08-28 Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa
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