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Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

机器学习 · 计算机科学 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

Interfacial dynamics underlie a wide range of phenomena, including phase transitions, microstructure coarsening, pattern formation, and thin-film growth, and are typically described by stiff, time-dependent nonlinear partial differential…

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

In this paper, we introduce Proper Orthogonal Decomposition Neural Operators (PODNO) for solving partial differential equations (PDEs) dominated by high-frequency components. Building on the structure of Fourier Neural Operators (FNO),…

数值分析 · 数学 2025-04-28 Zilan Cheng , Zhongjian Wang , Li-Lian Wang , Mejdi Azaiez

Zero-resource named entity recognition (NER) severely suffers from data scarcity in a specific domain or language. Most studies on zero-resource NER transfer knowledge from various data by fine-tuning on different auxiliary tasks. However,…

计算与语言 · 计算机科学 2021-07-23 Ying Zhang , Fandong Meng , Yufeng Chen , Jinan Xu , Jie Zhou

The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of…

信号处理 · 电气工程与系统科学 2019-10-17 Shrinivas Chimmalgi , Peter J. Prins , Sander Wahls

The challenge of applying learned knowledge from one domain to solve problems in another related but distinct domain, known as transfer learning, is fundamental in operator learning models that solve Partial Differential Equations (PDEs).…

机器学习 · 计算机科学 2024-08-21 Haoyang Jiang , Yongzhi Qu

The performance of policy gradient methods is sensitive to hyperparameter settings that must be tuned for any new application. Widely used grid search methods for tuning hyperparameters are sample inefficient and computationally expensive.…

机器学习 · 计算机科学 2019-09-19 Supratik Paul , Vitaly Kurin , Shimon Whiteson

Few-shot transfer has been revolutionized by stronger pre-trained models and improved adaptation algorithms.However, there lacks a unified, rigorous evaluation protocol that is both challenging and realistic for real-world usage. In this…

机器学习 · 计算机科学 2026-03-03 Xu Luo , Ji Zhang , Lianli Gao , Heng Tao Shen , Jingkuan Song

As the landscape of large language models expands, efficiently finetuning for specific tasks becomes increasingly crucial. At the same time, the landscape of parameter-efficient finetuning methods rapidly expands. Consequently,…

计算与语言 · 计算机科学 2024-11-05 Tobias Strangmann , Lennart Purucker , Jörg K. H. Franke , Ivo Rapant , Fabio Ferreira , Frank Hutter

We apply Fourier neural operators (FNOs), a state-of-the-art operator learning technique, to forecast the temporal evolution of experimentally measured velocity fields. FNOs are a recently developed machine learning method capable of…

流体动力学 · 物理学 2023-01-23 Peter I Renn , Cong Wang , Sahin Lale , Zongyi Li , Anima Anandkumar , Morteza Gharib

This study investigates the application of machine learning, specifically Fourier Neural Operator (FNO) and Convolutional Neural Network (CNN), to learn time-advancement operators for parametric partial differential equations (PDEs). Our…

机器学习 · 计算机科学 2024-02-19 Rixin Yu , Erdzan Hodzic

Neural operators, which aim to approximate mappings between infinite-dimensional function spaces, have been widely applied in the simulation and prediction of physical systems. However, the limited representational capacity of network…

机器学习 · 计算机科学 2025-06-03 Jin Song , Kenji Kawaguchi , Zhenya Yan

Modern large-scale neural networks are often trained and released in multiple sizes to accommodate diverse inference budgets. To improve efficiency, recent work has explored model upscaling: initializing larger models from trained smaller…

机器学习 · 计算机科学 2026-02-12 Yuxin Ma , Nan Chen , Mateo Díaz , Soufiane Hayou , Dmitriy Kunisky , Soledad Villar

There has recently been increasing attention towards developing foundational neural Partial Differential Equation (PDE) solvers and neural operators through large-scale pretraining. However, unlike vision and language models that make use…

机器学习 · 计算机科学 2024-11-21 AmirPouya Hemmasian , Amir Barati Farimani

Autonomous systems often encounter environments and scenarios beyond the scope of their training data, which underscores a critical challenge: the need to generalize and adapt to unseen scenarios in real time. This challenge necessitates…

机器人学 · 计算机科学 2024-10-14 Tyler Ingebrand , Adam J. Thorpe , Ufuk Topcu

Increased demands for high-performance materials have led to advanced composite materials with complex hierarchical designs. However, designing a tailored material microstructure with targeted properties and performance is extremely…

材料科学 · 物理学 2022-07-08 Meer Mehran Rashid , Tanu Pittie , Souvik Chakraborty , N. M. Anoop Krishnan

In this paper we develop linear transfer Perron Frobenius operator-based approach for optimal stabilization of stochastic nonlinear system. One of the main highlight of the proposed transfer operator based approach is that both the theory…

最优化与控制 · 数学 2019-03-20 Apurba Kumar Das , Arvind Raghunathan , Umesh Vaidya

We introduce a novel Multimodal Neural Operator (MNO) architecture designed to learn solution operators for multi-parameter nonlinear boundary value problems (BVPs). Traditional neural operators primarily map either the PDE coefficients or…

计算工程、金融与科学 · 计算机科学 2025-07-17 Vamshi C. Madala , Nithin Govindarajan , Shivkumar Chandrasekaran

Parameter-efficient fine-tuning approaches have recently garnered a lot of attention. Having considerably lower number of trainable weights, these methods can bring about scalability and computational effectiveness. In this paper, we look…

计算与语言 · 计算机科学 2023-02-23 Mohammad Akbar-Tajari , Sara Rajaee , Mohammad Taher Pilehvar