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In this paper we propose a new model-based unsupervised learning method, called VarNet, for the solution of partial differential equations (PDEs) using deep neural networks (NNs). Particularly, we propose a novel loss function that relies…

机器学习 · 计算机科学 2019-12-17 Reza Khodayi-Mehr , Michael M. Zavlanos

In this work, we investigate a method for simulation-free training of Neural Ordinary Differential Equations (NODEs) for learning deterministic mappings between paired data. Despite the analogy of NODEs as continuous-depth residual…

机器学习 · 计算机科学 2024-10-31 Semin Kim , Jaehoon Yoo , Jinwoo Kim , Yeonwoo Cha , Saehoon Kim , Seunghoon Hong

Recent work on deep learning for tabular data demonstrates the strong performance of deep tabular models, often bridging the gap between gradient boosted decision trees and neural networks. Accuracy aside, a major advantage of neural models…

We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools. The framework formulates numerical methods as a minimization of discrete residuals…

数值分析 · 数学 2024-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

Spectral methods are an important part of scientific computing's arsenal for solving partial differential equations (PDEs). However, their applicability and effectiveness depend crucially on the choice of basis functions used to expand the…

数值分析 · 数学 2021-11-10 Brek Meuris , Saad Qadeer , Panos Stinis

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…

机器学习 · 计算机科学 2023-10-04 Daiki Chijiwa

Pre-training a deep neural network on the ImageNet dataset is a common practice for training deep learning models, and generally yields improved performance and faster training times. The technique of pre-training on one task and then…

机器学习 · 计算机科学 2020-01-03 Nishai Kooverjee , Steven James , Terence van Zyl

Objective: Neural network de-identification studies have focused on individual datasets. These studies assume the availability of a sufficient amount of human-annotated data to train models that can generalize to corresponding test data. In…

计算与语言 · 计算机科学 2021-08-18 Kahyun Lee , Nicholas J. Dobbins , Bridget McInnes , Meliha Yetisgen , Ozlem Uzuner

We propose a novel second-order optimization framework for training the emerging deep continuous-time models, specifically the Neural Ordinary Differential Equations (Neural ODEs). Since their training already involves expensive gradient…

机器学习 · 计算机科学 2021-11-09 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

State-of-the-art named entity recognition (NER) systems have been improving continuously using neural architectures over the past several years. However, many tasks including NER require large sets of annotated data to achieve such…

机器学习 · 计算机科学 2020-01-22 Parminder Bhatia , Kristjan Arumae , Busra Celikkaya

When applying deep learning to remote sensing data in archaeological research, a notable obstacle is the limited availability of suitable datasets for training models. The application of transfer learning is frequently employed to mitigate…

计算机视觉与模式识别 · 计算机科学 2023-10-20 Gregory Sech , Paolo Soleni , Wouter B. Verschoof-van der Vaart , Žiga Kokalj , Arianna Traviglia , Marco Fiorucci

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…

神经与进化计算 · 计算机科学 2020-06-05 AbdElRahman ElSaid , Joshua Karns , Alexander Ororbia , Daniel Krutz , Zimeng Lyu , Travis Desell

Continuous deep learning models, referred to as Neural Ordinary Differential Equations (Neural ODEs), have received considerable attention over the last several years. Despite their burgeoning impact, there is a lack of formal analysis…

机器学习 · 计算机科学 2022-07-15 Diego Manzanas Lopez , Patrick Musau , Nathaniel Hamilton , Taylor T. Johnson

Physics-Informed Neural Networks (PINNs) offer a promising approach to solving differential equations and, more generally, to applying deep learning to problems in the physical sciences. We adopt a recently developed transfer learning…

机器学习 · 计算机科学 2022-11-02 Raphaël Pellegrin , Blake Bullwinkel , Marios Mattheakis , Pavlos Protopapas

The transfer learning technique is widely used to learning in one context and applying it to another, i.e. the capacity to apply acquired knowledge and skills to new situations. But is it possible to transfer the learning from a deep neural…

机器学习 · 计算机科学 2020-05-08 Nicola Landro , Ignazio Gallo , Riccardo La Grassa

Neural ordinary differential equations (ODEs) are an emerging class of deep learning models for dynamical systems. They are particularly useful for learning an ODE vector field from observed trajectories (i.e., inverse problems). We here…

机器学习 · 计算机科学 2023-05-23 Katharina Ott , Michael Tiemann , Philipp Hennig

Deep learning has become a pivotal technology in fields such as computer vision, scientific computing, and dynamical systems, significantly advancing these disciplines. However, neural Networks persistently face challenges related to…

机器学习 · 计算机科学 2025-10-14 Yongshuai Liu , Lianfang Wang , Kuilin Qin , Qinghua Zhang , Faqiang Wang , Li Cui , Jun Liu , Yuping Duan , Tieyong Zeng

Can neural networks learn to solve partial differential equations (PDEs)? We investigate this question for two (systems of) PDEs, namely, the Poisson equation and the steady Navier--Stokes equations. The contributions of this paper are…

机器学习 · 计算机科学 2019-04-16 Tim Dockhorn

Simulations of high-energy density physics often need non-local thermodynamic equilibrium (NLTE) opacity data. This data, however, is expensive to produce at relatively low-fidelity. It is even more so at high-fidelity such that the opacity…

计算物理 · 物理学 2023-01-25 Michael D. Vander Wal , Ryan G. McClarren , Kelli D. Humbird

Convolutional Neural Network (CNN) techniques have proven to be very useful in image-based anomaly detection applications. CNN can be used as deep features extractor where other anomaly detection techniques are applied on these features.…

机器学习 · 计算机科学 2022-08-15 Sulaiman Aburakhia , Tareq Tayeh , Ryan Myers , Abdallah Shami