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We develop a framework for estimating unknown partial differential equations from noisy data, using a deep learning approach. Given noisy samples of a solution to an unknown PDE, our method interpolates the samples using a neural network,…

Machine Learning · Computer Science 2019-10-24 Ali Hasan , João M. Pereira , Robert Ravier , Sina Farsiu , Vahid Tarokh

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

Machine Learning · Computer Science 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Transfer learning from natural image datasets, particularly ImageNet, using standard large models and corresponding pretrained weights has become a de-facto method for deep learning applications to medical imaging. However, there are…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Maithra Raghu , Chiyuan Zhang , Jon Kleinberg , Samy Bengio

A persistent challenge in machine learning for electronic-structure calculations is the sharp imbalance between abundant low-fidelity data like DFT or TDDFT results and the scarcity of high-fidelity data like many-body perturbation theory…

Chemical Physics · Physics 2025-12-15 Dario Baum , Arno Förster , Lucas Visscher

When it comes to the classification of brain signals in real-life applications, the training and the prediction data are often described by different distributions. Furthermore, diverse data sets, e.g., recorded from various subjects or…

Enhancing neural networks with knowledge of physical equations has become an efficient way of solving various physics problems, from fluid flow to electromagnetism. Graph neural networks show promise in accurately representing irregularly…

Machine Learning · Computer Science 2022-04-01 Mike Y. Michelis , Robert K. Katzschmann

Microstructural evolution is a key aspect of understanding and exploiting the structure-property-performance relation of materials. Modeling microstructure evolution usually relies on coarse-grained simulations with evolution principles…

Materials Science · Physics 2020-09-01 Kaiqi Yang , Yifan Cao , Youtian Zhang , Ming Tang , Daniel Aberg , Babak Sadigh , Fei Zhou

Training deep neural networks (DNNs) is computationally expensive, which is problematic especially when performing duplicated or similar training runs in model ensemble or fine-tuning pre-trained models, for example. Once we have trained…

Machine Learning · Computer Science 2023-10-04 Daiki Chijiwa

Transfer learning entails taking an artificial neural network (ANN) that is trained on a source dataset and adapting it to a new target dataset. While this has been shown to be quite powerful, its use has generally been restricted by…

Neural and Evolutionary Computing · Computer Science 2020-06-05 AbdElRahman ElSaid , Joshua Karns , Alexander Ororbia , Daniel Krutz , Zimeng Lyu , Travis Desell

Reinforcement learning (RL) is well known for requiring large amounts of data in order for RL agents to learn to perform complex tasks. Recent progress in model-based RL allows agents to be much more data-efficient, as it enables them to…

Machine Learning · Computer Science 2021-08-17 Remo Sasso , Matthia Sabatelli , Marco A. Wiering

Physics-informed neural networks have emerged as an alternative method for solving partial differential equations. However, for complex problems, the training of such networks can still require high-fidelity data which can be expensive to…

Machine Learning · Computer Science 2023-03-28 Wenqian Chen , Panos Stinis

Most uses of machine learning today involve training a model from scratch for a particular task, or sometimes starting with a model pretrained on a related task and then fine-tuning on a downstream task. Both approaches offer limited…

Machine Learning · Computer Science 2022-05-26 Andrea Gesmundo , Jeff Dean

In this work, we describe a novel approach to building a neural PDE solver leveraging recent advances in transformer based neural network architectures. Our model can provide solutions for different values of PDE parameters without any need…

Machine Learning · Computer Science 2024-07-10 Varun Madhavan , Amal S Sebastian , Bharath Ramsundar , Venkatasubramanian Viswanathan

Bayesian network structure learning algorithms with limited data are being used in domains such as systems biology and neuroscience to gain insight into the underlying processes that produce observed data. Learning reliable networks from…

Machine Learning · Statistics 2013-07-10 Diane Oyen , Terran Lane

Graph neural networks (GNNs) leverage message passing mechanisms to learn the topological features of graph data. Traditional GNNs learns node features in a spatial domain unrelated to the topology, which can hardly ensure topological…

Machine Learning · Computer Science 2025-05-30 Juwei Yue , Haikuo Li , Jiawei Sheng , Xiaodong Li , Taoyu Su , Tingwen Liu , Li Guo

We develop a novel transfer learning framework to tackle the challenge of limited training data in image reconstruction problems. The proposed framework consists of two training steps, both of which are formed as bi-level optimizations. In…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yunmei Chen , Chi Ding , Xiaojing Ye

Neural networks (NNs) have been widely used to solve partial differential equations (PDEs) in the applications of physics, biology, and engineering. One effective approach for solving PDEs with a fixed differential operator is learning…

Numerical Analysis · Mathematics 2025-11-21 Wenrui Hao , Rui Peng Li , Yuanzhe Xi , Tianshi Xu , Yahong Yang

Meta-Learning is a subarea of Machine Learning that aims to take advantage of prior knowledge to learn faster and with fewer data [1]. There are different scenarios where meta-learning can be applied, and one of the most common is algorithm…

Machine Learning · Computer Science 2019-10-17 Gean Trindade Pereira , Moisés dos Santos , Edesio Alcobaça , Rafael Mantovani , André Carvalho

The introduction of deep learning and transfer learning techniques in fields such as computer vision allowed a leap forward in the accuracy of image classification tasks. Currently there is only limited use of such techniques in…

Machine Learning · Computer Science 2019-07-03 Axel Uran , Coert van Gemeren , Rosanne van Diepen , Ricardo Chavarriaga , José del R. Millán

Using neural networks to solve partial differential equations (PDEs) is gaining popularity as an alternative approach in the scientific computing community. Neural networks can integrate different types of information into the loss…

Machine Learning · Computer Science 2024-05-07 Zhiwei Wang , Lulu Zhang , Zhongwang Zhang , Zhi-Qin John Xu