Fetching the paper…
Reading the bibliography…
Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance.
“On the characteristic values and characteristic functions of certain classes of non-self-adjoint equations.”
Keldysh, Mstislav Vsevolodovich · 1951
Earlier work this paper cites.
“Partial differential equations with more than two independent variables in the complex domain.”
Garabedian, PR · 1960
Earlier work this paper cites.
“Mechanical engineering design.” (1985)
Shigley, Joseph Edward, Mitchell, Larry D and Saunders, H · 1985
Earlier work this paper cites.
“Generating optimal topologies in structural design using a homogenization method.”
Bendsøe, Martin Philip and Kikuchi, Noboru · 1988
Earlier work this paper cites.
“Optimal shape design as a material distribution problem.”
Bendsøe, Martin P · 1989
Earlier work this paper cites.
“Generalized shape optimization without homogenization.”
Rozvany, George IN, Zhou, Ming and Birker, Torben · 1992
Earlier work this paper cites.
Basic evolutionary structural optimization
Xie, Y Mike, Steven, Grant P, Xie, YM and Steven, GP · 1997
Earlier work this paper cites.
“On the topological derivative in shape optimization.”
Sokolowski, Jan and Zochowski, Antoni · 1999
Earlier work this paper cites.
“An introduction to variational methods for graphical models.”
Jordan, Michael I, Ghahramani, Zoubin, Jaakkola, Tommi S and Saul, Lawrence K · 1999
Earlier work this paper cites.
“A level-set method for shape optimization.”
Allaire, Grégoire, Jouve, François and Toader, Anca-Maria · 2002
Earlier work this paper cites.
“Design-dependent loads in topology optimization.”
Bourdin, Blaise and Chambolle, Antonin · 2003
Earlier work this paper cites.
“Topology optimization approaches: A comparative review.”
Sigmund, Ole and Maute, Kurt · 2013
Earlier work this paper cites.
“Constructive solid geometry based topology optimization using evolutionary algorithm.”
Ahmed, Faez, Bhattacharya, Bishakh and Deb, Kalyanmoy · 2013
Earlier work this paper cites.
“Auto-encoding variational bayes.”
Kingma, Diederik P and Welling, Max · 2013
Earlier work this paper cites.
Introduction to functional differential equations
Hale, Jack K and Lunel, Sjoerd M Verduyn · 2013
Earlier work this paper cites.
“An efficient 3D topology optimization code written in Matlab.”
Liu, Kai and Tovar, Andrés · 2014
Earlier work this paper cites.
“Deep Unsupervised Learning using Nonequilibrium Thermodynamics.”
Sohl-Dickstein, Jascha, Weiss, Eric, Maheswaranathan, Niru and Ganguli, Surya · 2015
Earlier work this paper cites.
“Topy-topology optimization with python.” (2017)
Hunter, William et al · 2017
Earlier work this paper cites.
“Began: Boundary equilibrium generative adversarial networks.”
Berthelot, David, Schumm, Thomas and Metz, Luke · 2017
Cited alongside, same era.
“3D Topology Optimization using Convolutional Neural Networks.”
Banga, Saurabh, Gehani, Harsh, Bhilare, Sanket, Patel, Sagar and Kara, Levent · 2018
Cited alongside, same era.
“A novel topology design approach using an integrated deep learning network architecture.”
Rawat, Sharad and Shen, M. H. Herman · 2018
Cited alongside, same era.
“Application of adversarial networks for 3d structural topology optimization.”
Rawat, Sharad and Shen, MH Herman · 2019
Cited alongside, same era.
“Topology design with conditional generative adversarial networks.”
Sharpe, Conner and Seepersad, Carolyn Conner · 2019
Cited alongside, same era.
“Generative adversarial network for early-stage design flexibility in topology optimization for additive manufacturing.”
Hertlein, Nathan, Buskohl, Philip R., Gillman, Andrew, Vemaganti, Kumar and Anand, Sam · 2021
Later among the works it cites.
“Generating three-dimensional structures from a two-dimensional slice with generative adversarial network-based dimensionality expansion.”
Kench, Steve and Cooper, Samuel J · 2021
Later among the works it cites.
“Deep neural networks for the evaluation and design of photonic devices.”
Jiang, Jiaqi, Chen, Mingkun and Fan, Jonathan A · 2021
Later among the works it cites.
“On fast sampling of diffusion probabilistic models.”
Kong, Zhifeng and Ping, Wei · 2021
Later among the works it cites.
“Ilvr: Conditioning method for denoising diffusion probabilistic models.”
Choi, Jooyoung, Kim, Sungwon, Jeong, Yonghyun, Gwon, Youngjune and Yoon, Sungroh · 2021
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Yu, Yonggyun, Hur, Taeil, Jung, Jaeho and Jang, In Gwun · 2019
Cited alongside, same era.
“Generative Modeling by Estimating Gradients of the Data Distribution.”
Song, Yang and Ermon, Stefano · 2019
Cited alongside, same era.
“Language models are few-shot learners.”
Brown, Tom B, Mann, Benjamin, Ryder, Nick, Subbiah, Melanie, Kaplan, Jared, Dhariwal, Prafulla, Neelakantan, Arvind, Shyam, Pranav, Sastry, Girish, Askell, Amanda et al · 2020
Cited alongside, same era.
“Topology optimization of 2D structures with nonlinearities using deep learning.”
Abueidda, Diab W., Koric, Seid and Sobh, Nahil A · 2020
Cited alongside, same era.
“An Artificial Neural Network Approach for Generating High-Resolution Designs From Low-Resolution Input in Topology Optimization.”
Napier, Nicholas, Sriraman, Sai-Aksharah, Tran, Huy T. and James, Kai A · 2020
Cited alongside, same era.
“Score-based generative modeling through stochastic differential equations.”
Song, Yang, Sohl-Dickstein, Jascha, Kingma, Diederik P, Kumar, Abhishek, Ermon, Stefano and Poole, Ben · 2020
Cited alongside, same era.
“Denoising Diffusion Probabilistic Models.”
Ho, Jonathan, Jain, Ajay and Abbeel, Pieter · 2020
Cited alongside, same era.
Later among the works it cites.
“Improved denoising diffusion probabilistic models.”
Nichol, Alexander Quinn and Dhariwal, Prafulla · 2021
Later among the works it cites.
“Crystal Diffusion Variational Autoencoder for Periodic Material Generation.”
Xie, Tian, Fu, Xiang, Ganea, Octavian-Eugen, Barzilay, Regina and Jaakkola, Tommi · 2021
Later among the works it cites.
“Diffusion models beat gans on image synthesis.”
Dhariwal, Prafulla and Nichol, Alexander · 2021
Later among the works it cites.
“Classifier-Free Diffusion Guidance.”
Ho, Jonathan and Salimans, Tim · 2021
Later among the works it cites.
“Deep generative models in engineering design: A review.”
Regenwetter, Lyle, Nobari, Amin Heyrani and Ahmed, Faez · 2022
Later among the works it cites.
“TopoDiff: A Performance and Constraint-Guided Diffusion Model for Topology Optimization.”
Maze, Francois and Ahmed, Faez · 2022
Later among the works it cites.
“De-homogenization using convolutional neural networks.”
Elingaard, Martin Ohrt, Aage, Niels, Bærentzen, Jakob Andreas and Sigmund, Ole · 2022
Later among the works it cites.
“On the use of artificial neural networks in topology optimisation.”
Woldseth, Rebekka V, Aage, Niels, Bærentzen, J Andreas and Sigmund, Ole · 2022
Later among the works it cites.
“On distillation of guided diffusion models.”
Meng, Chenlin, Gao, Ruiqi, Kingma, Diederik P, Ermon, Stefano, Ho, Jonathan and Salimans, Tim · 2022
Later among the works it cites.
Giannone, Giorgio, Nielsen, Didrik and Winther, Ole · 2022
Later among the works it cites.
“Hierarchical text-conditional image generation with clip latents.”
Ramesh, Aditya, Dhariwal, Prafulla, Nichol, Alex, Chu, Casey and Chen, Mark · 2022
Later among the works it cites.
“Multi-modal Machine Learning in Engineering Design: A Review and Future Directions.”
Song, Binyang, Zhou, Rui and Ahmed, Faez · 2023
Closest in time.