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Artificial neural networks have gone through a recent rise in popularity, achieving state-of-the-art results in various fields, including image classification, speech recognition, and automated control. Both the performance and…

Neural and Evolutionary Computing · Computer Science 2016-11-08 Sean C. Smithson , Guang Yang , Warren J. Gross , Brett H. Meyer

Shape optimisation of thin-shell structures requires a flexible, differentiable geometric representation suitable for gradient-based optimisation. We propose a neural parametric representation (NRep) for the shell mid-surface based on a…

Numerical Analysis · Mathematics 2026-04-09 Xiao Xiao , Fehmi Cirak

Implicit neural representation (INR) has emerged as a promising solution for encoding volumetric data, offering continuous representations and seamless compatibility with the volume rendering pipeline. However, optimizing an INR network…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Maizhe Yang , Kaiyuan Tang , Chaoli Wang

Existing 3D surface representation approaches are unable to accurately classify pixels and their orientation lying on the boundary of an object. Thus resulting in coarse representations which usually require post-processing steps to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Mateusz Michalkiewicz , Jhony K. Pontes , Dominic Jack , Mahsa Baktashmotlagh , Anders Eriksson

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 (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

As function approximators, deep neural networks have served as an effective tool to represent various signal types. Recent approaches utilize multi-layer perceptrons (MLPs) to learn a nonlinear mapping from a coordinate to its corresponding…

Machine Learning · Computer Science 2025-06-12 Woojin Cho , Minju Jo , Kookjin Lee , Noseong Park

Topology optimization enables the design of highly efficient and complex structures, but conventional iterative methods, such as SIMP-based approaches, often suffer from high computational costs and sensitivity to initial conditions.…

Computational Engineering, Finance, and Science · Computer Science 2025-09-18 Aaron Lutheran , Srijan Das , Alireza Tabarraei

In this paper, a novel multi-head multi-layer perceptron (MLP) structure is presented for implicit neural representation (INR). Since conventional rectified linear unit (ReLU) networks are shown to exhibit spectral bias towards learning…

Machine Learning · Computer Science 2022-02-28 Arya Aftab , Alireza Morsali

Implicit Neural Representations (INRs) employ neural networks to represent continuous functions by mapping coordinates to the corresponding values of the target function, with applications e.g., inverse graphics. However, INRs face a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Mingze Ma , Qingtian Zhu , Yifan Zhan , Zhengwei Yin , Hongjun Wang , Yinqiang Zheng

We propose conditioning field initialization for neural network based topology optimization. In this work, we focus on (1) improving upon existing neural network based topology optimization, (2) demonstrating that by using a prior initial…

Machine Learning · Computer Science 2023-05-19 Hongrui Chen , Aditya Joglekar , Levent Burak Kara

A deep neural network is a parametrization of a multilayer mapping of signals in terms of many alternatively arranged linear and nonlinear transformations. The linear transformations, which are generally used in the fully connected as well…

Machine Learning · Computer Science 2020-07-01 Ze-Feng Gao , Song Cheng , Rong-Qiang He , Z. Y. Xie , Hui-Hai Zhao , Zhong-Yi Lu , Tao Xiang

We propose a novel approach to learning the generative neural fields represented by linear combinations of implicit basis networks. Our algorithm learns basis networks in the form of implicit neural representations and their coefficients in…

Machine Learning · Computer Science 2023-10-31 Tackgeun You , Mijeong Kim , Jungtaek Kim , Bohyung Han

Multi-layer perceptrons (MLP) have proven to be effective scene encoders when combined with higher-dimensional projections of the input, commonly referred to as \textit{positional encoding}. However, scenes with a wide frequency spectrum…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Zoe Landgraf , Alexander Sorkine Hornung , Ricardo Silveira Cabral

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

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,…

We propose a direct mesh-free method for performing topology optimization by integrating a density field approximation neural network with a displacement field approximation neural network. We show that this direct integration approach can…

Computational Engineering, Finance, and Science · Computer Science 2023-09-26 Aditya Joglekar , Hongrui Chen , Levent Burak Kara

We present a novel 3D mapping method leveraging the recent progress in neural implicit representation for 3D reconstruction. Most existing state-of-the-art neural implicit representation methods are limited to object-level reconstructions…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Stefan Lionar , Lukas Schmid , Cesar Cadena , Roland Siegwart , Andrei Cramariuc

Nature evolves structures like honeycombs at optimized performance with limited material. These efficient structures can be artificially created with the collaboration of structural topology optimization and additive manufacturing. However,…

Computational Engineering, Finance, and Science · Computer Science 2023-03-22 Shengze Zhong , Parinya Punpongsanon , Daisuke Iwai , Kosuke Sato

Gradient-free optimizers allow for tackling problems regardless of the smoothness or differentiability of their objective function, but they require many more iterations to converge when compared to gradient-based algorithms. This has made…

Machine Learning · Computer Science 2024-09-24 Gawel Kus , Miguel A. Bessa