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This study proposes a methodology to utilize machine learning (ML) for topology optimization of periodic lattice structures. In particular, we investigate data representation of lattice structures used as input data for ML models to improve…

Optimization and Control · Mathematics 2024-11-22 Tomoya Matsuoka , Makoto Ohsaki , Kazuki Hayashi

Topology optimization is a widely used design method that produces optimized material distributions for prescribed objectives and constraints through well-established numerical algorithms. Throughout the workflow, engineers make a series of…

Multiagent Systems · Computer Science 2026-05-25 Hyunjee Park , Hayoung Chung

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

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

Classifier guidance -- using the gradients of an image classifier to steer the generations of a diffusion model -- has the potential to dramatically expand the creative control over image generation and editing. However, currently…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Bram Wallace , Akash Gokul , Stefano Ermon , Nikhil Naik

Structural topology optimization (TO) is central to engineering design but remains computationally intensive due to complex physics and hard constraints. Existing deep-learning methods are limited to fixed square grids, a few hand-coded…

Machine Learning · Computer Science 2025-10-29 Amin Heyrani Nobari , Lyle Regenwetter , Cyril Picard , Ligong Han , Faez Ahmed

We develop and apply a novel shape optimization exemplified for a two-blade rotor with respect to the figure of merit ($FM$). This topologically assisted optimization (TAO) contains two steps. First a global evolutionary optimization is…

Two-scale topology optimization, combined with the design of microstructure families with a broad range of effective material parameters, is increasingly widely used in many fabrication applications to achieve a target deformation behavior…

Graphics · Computer Science 2024-07-25 Davi Colli Tozoni , Zizhou Huang , Daniele Panozzo , Denis Zorin

The organization of latent token representations plays a crucial role in determining the stability, generalization, and contextual consistency of language models, yet conventional approaches to embedding refinement often rely on parameter…

Computation and Language · Computer Science 2025-03-26 Meiquan Dong , Haoran Liu , Yan Huang , Zixuan Feng , Jianhong Tang , Ruoxi Wang

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

Computational Engineering, Finance, and Science · Computer Science 2016-08-25 Oded Amir

As user expectations for image editing continue to rise, the demand for flexible, fine-grained manipulation of specific visual elements presents a challenge for current diffusion-based methods. In this work, we present BlobCtrl, a framework…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Yaowei Li , Lingen Li , Zhaoyang Zhang , Xiaoyu Li , Guangzhi Wang , Hongxiang Li , Xiaodong Cun , Ying Shan , Yuexian Zou

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

In the current industry, the development of optimized mechanical components able to satisfy the customer requirements evolves quickly. Therefore, companies are asked for efficient solutions to improve their products in terms of stiffness…

Computational Engineering, Finance, and Science · Computer Science 2023-07-31 Rafael Merli , Antolín Martínez-Martínez , Juan José Ródenas , Marc Bosch-Galera , Enrique Nadal

The widespread deployment of text-to-image diffusion models is significantly challenged by the generation of visually harmful content, such as sexually explicit content, violence, and horror imagery. Common safety interventions, ranging…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Lingyun Zhang , Yu Xie , Zhongli Fang , Yu Liu , Ping Chen

Topological Data Analysis (TDA) provides a pipeline to extract quantitative topological descriptors from structured objects. This enables the definition of topological loss functions, which assert to what extent a given object exhibits some…

Artificial Intelligence · Computer Science 2024-05-30 Mathieu Carriere , Marc Theveneau , Théo Lacombe

For domains that involve numerical simulation, it can be computationally expensive to run an ensemble of simulations spanning a parameter space of interest to a user. To this end, an attractive surrogate for simulation is the generative…

Machine Learning · Computer Science 2025-05-13 Xiaohan Wang , Matthew Berger

The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a nonsmoothed…

Computational Engineering, Finance, and Science · Computer Science 2021-08-06 J. Oliver , D. Yago , J. Cante , O. Lloberas-Valls

Recently, 3D generative models have shown promising performances in structure-based drug design by learning to generate ligands given target binding sites. However, only modeling the target-ligand distribution can hardly fulfill one of the…

Biomolecules · Quantitative Biology 2024-03-22 Xiangxin Zhou , Xiwei Cheng , Yuwei Yang , Yu Bao , Liang Wang , Quanquan Gu

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann