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Pretraining methods gain increasing attraction recently for solving PDEs with neural operators. It alleviates the data scarcity problem encountered by neural operator learning when solving single PDE via training on large-scale datasets…

Machine Learning · Computer Science 2024-11-28 Tian Wang , Chuang Wang

Deep neural networks (DNN) are increasingly being accelerated on application-specific hardware such as the Google TPU designed especially for deep learning. Timing speculation is a promising approach to further increase the energy…

Machine Learning · Computer Science 2018-07-03 Jeff Zhang , Siddharth Garg

Tensor decomposition is a fundamental tool for analyzing multi-dimensional data by learning low-rank factors to represent high-order interactions. While recent works on temporal tensor decomposition have made significant progress by…

Machine Learning · Computer Science 2025-09-30 Panqi Chen , Lei Cheng , Jianlong Li , Weichang Li , Weiqing Liu , Jiang Bian , Shikai Fang

Fault detection is essential in complex industrial systems to prevent failures and optimize performance by distinguishing abnormal from normal operating conditions. With the growing availability of condition monitoring data, data-driven…

Applications · Statistics 2025-10-14 Han Sun , Olga Fink

Artificial neural networks (ANNs) require tremendous amount of data to train on. However, in classification models, most data features are often similar which can lead to increase in training time without significant improvement in the…

Machine Learning · Computer Science 2023-03-03 Sreelekha Guggilam , Varun Chandola , Abani Patra

Deep transfer learning techniques try to tackle the limitations of deep learning, the dependency on extensive training data and the training costs, by reusing obtained knowledge. However, the current DTL techniques suffer from either…

Machine Learning · Computer Science 2023-05-12 Mohammadreza Iman , John A. Miller , Khaled Rasheed , Robert M. Branch , Hamid R. Arabnia

Partial differential equations (PDEs) are instrumental for modeling dynamical systems in science and engineering. The advent of neural networks has initiated a significant shift in tackling these complexities though challenges in accuracy…

Machine Learning · Computer Science 2024-06-07 Zhuo Chen , Jacob McCarran , Esteban Vizcaino , Marin Soljačić , Di Luo

The goal of lifelong learning is to continuously learn from non-stationary distributions, where the non-stationarity is typically imposed by a sequence of distinct tasks. Prior works have mostly considered idealistic settings, where the…

Machine Learning · Computer Science 2024-06-04 Haoran Zhu , Maryam Majzoubi , Arihant Jain , Anna Choromanska

Real-world scientific applications frequently encounter incomplete observational data due to sensor limitations, geographic constraints, or measurement costs. Although neural operators significantly advanced PDE solving in terms of…

Machine Learning · Computer Science 2026-01-28 Jingren Hou , Hong Wang , Pengyu Xu , Chang Gao , Huafeng Liu , Liping Jing

Neural ordinary differential equations (NODE) have been proposed as a continuous depth generalization to popular deep learning models such as Residual networks (ResNets). They provide parameter efficiency and automate the model selection…

Machine Learning · Computer Science 2021-12-24 Srinivas Anumasa , P. K. Srijith

The measured spatiotemporal response of various physical processes is utilized to infer the governing partial differential equations (PDEs). We propose SimultaNeous Basis Function Approximation and Parameter Estimation (SNAPE), a technique…

Machine Learning · Computer Science 2021-09-17 Sutanu Bhowmick , Satish Nagarajaiah

While recurrent neural networks (RNNs) demonstrate outstanding capabilities for future video frame prediction, they model dynamics in a discrete time space, i.e., they predict the frames sequentially with a fixed temporal step. RNNs are…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Saber Pourheydari , Emad Bahrami , Mohsen Fayyaz , Gianpiero Francesca , Mehdi Noroozi , Juergen Gall

Transfer learning (TL) enables the transfer of knowledge gained in learning to perform one task (source) to a related but different task (target), hence addressing the expense of data acquisition and labeling, potential computational power…

Machine Learning · Computer Science 2022-12-20 Somdatta Goswami , Katiana Kontolati , Michael D. Shields , George Em Karniadakis

Since autonomous driving systems usually face dynamic and ever-changing environments, continual test-time adaptation (CTTA) has been proposed as a strategy for transferring deployed models to continually changing target domains. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Jiayi Ni , Senqiao Yang , Ran Xu , Jiaming Liu , Xiaoqi Li , Wenyu Jiao , Zehui Chen , Yi Liu , Shanghang Zhang

Neural operators learn mappings from function-dependent inputs to solutions, providing an effective framework for solving partial differential equations (PDEs). For time-dependent PDEs, existing methods typically perform long-horizon…

Machine Learning · Computer Science 2026-05-29 Jiaquan Zhang , Caiyan Qin , Haoyu Bian , Libin Cai , Yi Lu , Chaoning Zhang , Wei Dong , Yuanfang Guo , Yang Yang , Hen Tao Shen

Adapting pre-trained deep learning segmentation models to new clinical domains is a persistent challenge in medical image analysis, particularly when annotated data at the target site are scarce. Parameter-efficient fine-tuning strategies…

Image and Video Processing · Electrical Eng. & Systems 2026-05-06 Giuseppe Timpano , Dibya Kumari , Maria Eugenia Caligiuri , Francesco Santini

Operator learning techniques have recently emerged as a powerful tool for learning maps between infinite-dimensional Banach spaces. Trained under appropriate constraints, they can also be effective in learning the solution operator of…

Machine Learning · Computer Science 2021-10-13 Sifan Wang , Hanwen Wang , Paris Perdikaris

While diffusion models advance text-to-motion generation, their static semantic conditioning ignores temporal-frequency demands: early denoising requires structural semantics for motion foundations while later stages need localized details…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Wenshuo Chen , Kuimou Yu , Haozhe Jia , Kaishen Yuan , Zexu Huang , Bowen Tian , Songning Lai , Hongru Xiao , Erhang Zhang , Lei Wang , Yutao Yue

Accurately modeling and inferring solutions to time-dependent partial differential equations (PDEs) over extended horizons remains a core challenge in scientific machine learning. Traditional full rollout (FR) methods, which predict entire…

Machine Learning · Computer Science 2026-03-18 Luis Mandl , Dibyajyoti Nayak , Tim Ricken , Somdatta Goswami

Accurate temporal extrapolation remains a fundamental challenge for neural operators modeling dynamical systems, where predictions must extend far beyond the training horizon. Conventional DeepONet approaches rely on two limited paradigms:…

Machine Learning · Computer Science 2026-03-17 Dibyajyoti Nayak , Somdatta Goswami