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相关论文: Maximum stress minimization via data-driven multif…

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This work presents a rigorous mathematical formulation for topology optimization of a macrostructure undergoing ductile failure. The prediction of ductile solid materials which exhibit dominant plastic deformation is an intriguingly…

数值分析 · 数学 2023-03-22 Nima Noii , Hassan Ali Jahangiry , Haim Waisman

Multimodal deep learning methods capture synergistic features from multiple modalities and have the potential to improve accuracy for stress detection compared to unimodal methods. However, this accuracy gain typically comes from high…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Morteza Bodaghi , Majid Hosseini , Raju Gottumukkala

In recent years, topology optimization (TO) has gained widespread attention as a powerful structural design method. However, its application remains challenging due to the deep expertise and extensive development effort required.…

偏微分方程分析 · 数学 2025-05-06 Liang He , Huayi Wei , Tian Tian

A popular method of force-directed graph drawing is multidimensional scaling using graph-theoretic distances as input. We present an algorithm to minimize its energy function, known as stress, by using stochastic gradient descent (SGD) to…

计算几何 · 计算机科学 2018-06-29 Jonathan X. Zheng , Samraat Pawar , Dan F. M. Goodman

A major challenge in training large-scale machine learning models is configuring the training process to maximize model performance, i.e., finding the best training setup from a vast design space. In this work, we unlock a gradient-based…

机器学习 · 统计学 2025-03-19 Logan Engstrom , Andrew Ilyas , Benjamin Chen , Axel Feldmann , William Moses , Aleksander Madry

Federated multi-task learning (FMTL) aims to simultaneously learn multiple related tasks across clients without sharing sensitive raw data. However, in the decentralized setting, existing FMTL frameworks are limited in their ability to…

机器学习 · 计算机科学 2025-06-10 Chaouki Ben Issaid , Praneeth Vepakomma , Mehdi Bennis

We study a class of sampled stochastic optimization problems, where the underlying state process has diffusive dynamics of the mean-field type. We establish the existence of optimal relaxed controls when the sample set has finite size. The…

最优化与控制 · 数学 2022-06-07 Lijun Bo , Agostino Capponi , Huafu Liao

We present a novel data-driven approach for enhancing gradient reconstruction in unstructured finite volume methods for hyperbolic conservation laws, specifically for the 2D Euler equations. Our approach extends previous structured-grid…

数值分析 · 数学 2025-07-23 G. de Romémont , F. Renac , F. Chinesta , J. Nunez , D. Gueyffier

In this article a topology optimization method is developed, which is aware of material uncertainties. The uncertainties are handled in a worst-case sense, i.e. the worst possible material distribution over a given uncertainty set is taken…

最优化与控制 · 数学 2018-12-13 Jannis Greifenstein , Michael Stingl

Fast, gradient-based structural optimization has long been limited to a highly restricted subset of problems -- namely, density-based compliance minimization -- for which gradients can be analytically derived. For other objective functions,…

计算工程、金融与科学 · 计算机科学 2024-09-17 Keith J. Lee , Yijiang Huang , Caitlin T. Mueller

Many software systems have become too large and complex to be managed efficiently by human administrators, particularly when they operate in uncertain and dynamic environments and require frequent changes. Requirements-driven adaptation…

软件工程 · 计算机科学 2020-01-24 Yehia Elrakaiby , Paola Spoletini , Bashar Nuseibeh

Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust…

最优化与控制 · 数学 2025-04-08 Peter Gangl , Theodor Komann , Nepomuk Krenn , Stefan Ulbrich

In recent years, more attention has been paid prominently to accelerated degradation testing in order to characterize accurate estimation of reliability properties for systems that are designed to work properly for years of even decades.…

应用统计 · 统计学 2021-09-23 Helmi Shat

Gradient-based attacks are important methods for evaluating model robustness. However, since the proposal of APGD, it has been difficult for such methods to achieve significant breakthroughs. To achieve such an effect, we first analyze the…

计算机视觉与模式识别 · 计算机科学 2026-05-21 Xinlei Liu , Tao Hu , Jichao Xie , Peng Yi , Hailong Ma , Baolin Li

Multi-task learning (MTL) aims at solving multiple related tasks simultaneously and has experienced rapid growth in recent years. However, MTL models often suffer from performance degeneration with negative transfer due to learning several…

机器学习 · 计算机科学 2023-02-01 Xin Dong , Ruize Wu , Chao Xiong , Hai Li , Lei Cheng , Yong He , Shiyou Qian , Jian Cao , Linjian Mo

In this paper, we propose PATO-a producibility-aware topology optimization (TO) framework to help efficiently explore the design space of components fabricated using metal additive manufacturing (AM), while ensuring manufacturability with…

计算工程、金融与科学 · 计算机科学 2021-12-10 Naresh S. Iyer , Amir M. Mirzendehdel , Sathyanarayanan Raghavan , Yang Jiao , Erva Ulu , Morad Behandish , Saigopal Nelaturi , Dean M. Robinson

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

机器学习 · 计算机科学 2023-03-20 Giorgio Giannone , Faez Ahmed

In recent years, topology optimization has been developed sufficiently and many researchers have concentrated on enhancing to computationally numerical algorithms for computational effectiveness of this method. Along with the development of…

数值分析 · 数学 2023-01-19 Nam G. Luu , Thanh T. Banh

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

最优化与控制 · 数学 2021-09-06 Yipeng Pang , Guoqiang Hu