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Differential algebraic equations (DAEs) describe the temporal evolution of systems that obey both differential and algebraic constraints. Of particular interest are systems that contain implicit relationships between their components, such…

机器学习 · 计算机科学 2025-07-23 James Koch , Madelyn Shapiro , Himanshu Sharma , Draguna Vrabie , Jan Drgona

Energy-Dissipative Evolutionary Deep Operator Neural Network is an operator learning neural network. It is designed to seed numerical solutions for a class of partial differential equations instead of a single partial differential equation,…

机器学习 · 统计学 2023-06-13 Jiahao Zhang , Shiheng Zhang , Jie Shen , Guang Lin

Large-scale deep learning models contribute to significant performance improvements on varieties of downstream tasks. Current data and model parallelism approaches utilize model replication and partition techniques to support the…

分布式、并行与集群计算 · 计算机科学 2023-05-22 Youhe Jiang , Fangcheng Fu , Xupeng Miao , Xiaonan Nie , Bin Cui

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

数值分析 · 数学 2021-11-03 Stefania Fresca , Andrea Manzoni

Off-policy evaluation and learning (OPE/L) use offline observational data to make better decisions, which is crucial in applications where online experimentation is limited. However, depending entirely on logged data, OPE/L is sensitive to…

机器学习 · 计算机科学 2022-07-19 Nathan Kallus , Xiaojie Mao , Kaiwen Wang , Zhengyuan Zhou

In recent years, deep learning for modeling physical phenomena which can be described by partial differential equations (PDEs) have received significant attention. For example, for learning Hamiltonian mechanics, methods based on deep…

机器学习 · 计算机科学 2025-02-28 Baige Xu , Yusuke Tanaka , Takashi Matsubara , Takaharu Yaguchi

Open-set semi-supervised learning (OSSL) leverages unlabeled data containing both in-distribution (ID) and unknown out-of-distribution (OOD) samples, aiming simultaneously to improve closed-set accuracy and detect novel OOD instances.…

机器学习 · 计算机科学 2026-01-19 You Rim Choi , Subeom Park , Seojun Heo , Eunchung Noh , Hyung-Sin Kim

While deep learning succeeds in a wide range of tasks, it highly depends on the massive collection of annotated data which is expensive and time-consuming. To lower the cost of data annotation, active learning has been proposed to…

计算机视觉与模式识别 · 计算机科学 2021-07-30 Siyu Huang , Tianyang Wang , Haoyi Xiong , Jun Huan , Dejing Dou

Model-based deep learning (MoDL) algorithms that rely on unrolling are emerging as powerful tools for image recovery. In this work, we introduce a novel monotone operator learning framework to overcome some of the challenges associated with…

机器学习 · 计算机科学 2021-11-23 Aniket Pramanik , Mathews Jacob

Unsupervised Outlier Detection (UOD) is a critical task in data mining and machine learning, aiming to identify instances that significantly deviate from the majority. Without any label, deep UOD methods struggle with the misalignment…

机器学习 · 计算机科学 2025-05-13 Yuang Zhang , Liping Wang , Yihong Huang , Yuanxing Zheng , Fan Zhang , Xuemin Lin

This work explores the application of deep operator learning principles to a problem in statistical physics. Specifically, we consider the linear kinetic equation, consisting of a differential advection operator and an integral collision…

Deep learning for distribution grid optimization can be advocated as a promising solution for near-optimal yet timely inverter dispatch. The principle is to train a deep neural network (DNN) to predict the solutions of an optimal power flow…

最优化与控制 · 数学 2020-07-09 Manish K. Singh , Sarthak Gupta , Vassilis Kekatos , Guido Cavraro , Andrey Bernstein

A universal rule-based self-learning approach using deep reinforcement learning (DRL) is proposed for the first time to solve nonlinear ordinary differential equations and partial differential equations. The solver consists of a deep neural…

机器学习 · 计算机科学 2019-05-30 Shiyin Wei , Xiaowei Jin , Hui Li

We propose a novel, brain-inspired deep neural network model known as the Deep Oscillatory Neural Network (DONN). Deep neural networks like the Recurrent Neural Networks indeed possess sequence processing capabilities but the internal…

神经与进化计算 · 计算机科学 2024-09-10 Nurani Rajagopal Rohan , Vigneswaran C , Sayan Ghosh , Kishore Rajendran , Gaurav A , V Srinivasa Chakravarthy

In this paper, we investigate the applications of operator learning, specifically DeepONet, for solving nonlinear partial differential equations (PDEs). Unlike conventional function learning methods that require training separate neural…

机器学习 · 计算机科学 2025-09-30 Yahong Yang

Neural operators generally demonstrate strong predictive performance on in-distribution (ID) problems. However, a critical limitation of existing methods is their significant performance degradation when encountering out-of-distribution…

机器学习 · 计算机科学 2026-05-07 Yizheng Wang , Mohammad Sadegh Eshaghi , Xiaoying Zhuang , Timon Rabczuk , Yinghua Liu

Physics-informed Neural Networks (PINNs) have been shown as a promising approach for solving both forward and inverse problems of partial differential equations (PDEs). Meanwhile, the neural operator approach, including methods such as Deep…

机器学习 · 计算机科学 2023-10-31 Bin Lin , Zhiping Mao , Zhicheng Wang , George Em Karniadakis

A fundamental challenge for machine learning models is generalizing to out-of-distribution (OOD) data, in part due to spurious correlations. To tackle this challenge, we first formalize the OOD generalization problem as constrained…

机器学习 · 计算机科学 2022-10-20 Hanlin Zhang , Yi-Fan Zhang , Weiyang Liu , Adrian Weller , Bernhard Schölkopf , Eric P. Xing

This thesis makes considerable contributions to the realm of machine learning, specifically in the context of open-world scenarios where systems face previously unseen data and contexts. Traditional machine learning models are usually…

机器学习 · 计算机科学 2023-10-11 Yiyou Sun

The paper describes an online deep learning algorithm (ODL) for adaptive modulation and coding in massive MIMO. The algorithm is based on a fully connected neural network, which is initially trained on the output of the traditional…

网络与互联网体系结构 · 计算机科学 2024-09-04 Evgeny Bobrov , Dmitry Kropotov , Hao Lu , Danila Zaev