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We introduce the Laplace neural operator (LNO), which leverages the Laplace transform to decompose the input space. Unlike the Fourier Neural Operator (FNO), LNO can handle non-periodic signals, account for transient responses, and exhibit…

机器学习 · 计算机科学 2023-05-31 Qianying Cao , Somdatta Goswami , George Em Karniadakis

Multi-task trade-offs in machine learning can be addressed via Pareto Front Learning (PFL) methods that parameterize the Pareto Front (PF) with a single model. PFL permits to select the desired operational point during inference, contrary…

机器学习 · 计算机科学 2025-02-27 Nikolaos Dimitriadis , Pascal Frossard , Francois Fleuret

One predominant challenge in additive manufacturing (AM) is to achieve specific material properties by manipulating manufacturing process parameters during the runtime. Such manipulation tends to increase the computational load imposed on…

机器学习 · 计算机科学 2023-10-24 Mahmoud Yaseen , Dewen Yushu , Peter German , Xu Wu

Supervised machine learning has become the cornerstone of today's data-driven society, increasing the need for labeled data. However, the process of acquiring labels is often expensive and tedious. One possible remedy is to use active…

机器学习 · 计算机科学 2023-02-22 Josip Jukić , Fran Jelenić , Miroslav Bićanić , Jan Šnajder

Functional Magnetic Resonance Imaging (fMRI) is a primary modality for studying brain activity. Modeling spatial dependence of imaging data at different scales is one of the main challenges of contemporary neuroimaging, and it could allow…

应用统计 · 统计学 2016-06-16 Stefano Castruccio , Hernando Ombao , Marc G. Genton

Pareto Front Learning (PFL) was recently introduced as an effective approach to obtain a mapping function from a given trade-off vector to a solution on the Pareto front, which solves the multi-objective optimization (MOO) problem. Due to…

机器学习 · 计算机科学 2023-05-02 Long P. Hoang , Dung D. Le , Tran Anh Tuan , Tran Ngoc Thang

The computational efficiency of many neural operators, widely used for learning solutions of PDEs, relies on the fast Fourier transform (FFT) for performing spectral computations. As the FFT is limited to equispaced (rectangular) grids,…

The mRNA optimization is critical for therapeutic and biotechnological applications, since sequence features directly govern protein expression levels and efficacy. However, current methods face significant challenges in simultaneously…

定量方法 · 定量生物学 2025-06-02 Zheng Gong , Ziyi Jiang , Weihao Gao , Deng Zhuo , Lan Ma

Neural operators such as the Fourier Neural Operator (FNO) have been shown to provide resolution-independent deep learning models that can learn mappings between function spaces. For example, an initial condition can be mapped to the…

机器学习 · 计算机科学 2024-07-02 Aditya Kashi , Arka Daw , Muralikrishnan Gopalakrishnan Meena , Hao Lu

Deformable image registration is a fundamental task in medical imaging. Due to the large computational complexity of deformable registration of volumetric images, conventional iterative methods usually face the tradeoff between the…

计算机视觉与模式识别 · 计算机科学 2022-01-19 Kaicong Sun , Sven Simon

Once-for-All (OFA) is a Neural Architecture Search (NAS) framework designed to address the problem of searching efficient architectures for devices with different resources constraints by decoupling the training and the searching stages.…

神经与进化计算 · 计算机科学 2023-03-27 Rafael C. Ito , Fernando J. Von Zuben

Reliable digital twins of lithium-ion batteries must achieve high physical fidelity with sub-millisecond speed. In this work, we benchmark three operator-learning surrogates for the Single Particle Model (SPM): Deep Operator Networks…

机器学习 · 计算机科学 2025-08-12 Amir Ali Panahi , Daniel Luder , Billy Wu , Gregory Offer , Dirk Uwe Sauer , Weihan Li

This paper investigates the temporal evolution of high-speed compressible fluids in irregular flow fields using the Fourier Neural Operator (FNO). We reconstruct the irregular flow field point set into sequential format compatible with FNO…

流体动力学 · 物理学 2026-01-06 Yifan Nie , Qiaoxin Li

Solving real-life sequential decision making problems under partial observability involves an exploration-exploitation problem. To be successful, an agent needs to efficiently gather valuable information about the state of the world for…

机器学习 · 计算机科学 2020-11-03 Haiyan Yin , Yingzhen Li , Sinno Jialin Pan , Cheng Zhang , Sebastian Tschiatschek

Multi-objective reinforcement learning (MORL) is the generalization of standard reinforcement learning (RL) approaches to solve sequential decision making problems that consist of several, possibly conflicting, objectives. Generally, in…

人工智能 · 计算机科学 2019-10-08 Xi Chen , Ali Ghadirzadeh , Mårten Björkman , Patric Jensfelt

The demand for high-performance materials, along with advanced synthesis technologies such as additive manufacturing and 3D printing, has spurred the development of hierarchical composites with superior properties. However, computational…

材料科学 · 物理学 2023-07-20 Meer Mehran Rashid , Souvik Chakraborty , N. M. Anoop Krishnan

The Deep Operator Network (DeepONet) is a powerful neural operator architecture that uses two neural networks to map between infinite-dimensional function spaces. This architecture allows for the evaluation of the solution field at any…

机器学习 · 计算机科学 2026-02-17 Bahador Bahmani , Somdatta Goswami , Ioannis G. Kevrekidis , Michael D. Shields

Multiphase flow simulation is critical in science and engineering but incurs high computational costs due to complex field discontinuities and the need for high-resolution numerical meshes. While Neural Operators (NOs) offer an efficient…

流体动力学 · 物理学 2025-12-04 Zhenzhong Wang , Xin Zhang , Jun Liao , Min Jiang

Solving partial differential equations with neural operators significantly reduces computational costs but remains bottlenecked by high training data requirements. Active learning offers a natural framework to mitigate this by selectively…

机器学习 · 计算机科学 2026-05-21 Alicja Polanska , Lorenzo Zanisi , Vignesh Gopakumar , Stanislas Pamela

Automatic synthesis of analog and Radio Frequency (RF) circuits is a trending approach that requires an efficient circuit modeling method. This is due to the expensive cost of running a large number of simulations at each synthesis cycle.…