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Neural networks can be used to learn the solution of partial differential equations (PDEs) on arbitrary domains without requiring a computational mesh. Common approaches integrate differential operators in training neural networks using a…

机器学习 · 计算机科学 2022-07-07 Shamsulhaq Basir , Inanc Senocak

This work proposes an autoencoder neural network as a non-linear generalization of projection-based methods for solving Partial Differential Equations (PDEs). The proposed deep learning architecture presented is capable of generating the…

计算物理 · 物理学 2020-06-25 Jaime Lopez Garcia , Angel Rivero Jimenez

The skip-connections used in residual networks have become a standard architecture choice in deep learning due to the increased training stability and generalization performance with this architecture, although there has been limited…

机器学习 · 计算机科学 2019-10-08 Spencer Frei , Yuan Cao , Quanquan Gu

Neuromorphic hardware tends to pose limits on the connectivity of deep networks that one can run on them. But also generic hardware and software implementations of deep learning run more efficiently for sparse networks. Several methods…

神经与进化计算 · 计算机科学 2018-08-09 Guillaume Bellec , David Kappel , Wolfgang Maass , Robert Legenstein

The incredible effectiveness of adversarial attacks on fooling deep neural networks poses a tremendous hurdle in the widespread adoption of deep learning in safety and security-critical domains. While adversarial defense mechanisms have…

机器学习 · 计算机科学 2020-11-20 Hossein Aboutalebi , Mohammad Javad Shafiee Alexander Wong

The online learning of deep neural networks is an interesting problem of machine learning because, for example, major IT companies want to manage the information of the massive data uploaded on the web daily, and this technology can…

机器学习 · 计算机科学 2015-06-16 Sang-Woo Lee , Min-Oh Heo , Jiwon Kim , Jeonghee Kim , Byoung-Tak Zhang

The order/dimension of models derived on the basis of data is commonly restricted by the number of observations, or in the context of monitored systems, sensing nodes. This is particularly true for structural systems (e.g., civil or…

机器学习 · 计算机科学 2022-12-01 Zhilu Lai , Wei Liu , Xudong Jian , Kiran Bacsa , Limin Sun , Eleni Chatzi

Large pretrained models are increasingly crucial in modern computer vision tasks. These models are typically used in downstream tasks by end-to-end finetuning, which is highly memory-intensive for tasks with high-resolution data, e.g.,…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Chen Zhao , Shuming Liu , Karttikeya Mangalam , Guocheng Qian , Fatimah Zohra , Abdulmohsen Alghannam , Jitendra Malik , Bernard Ghanem

Neural Ordinary Differential Equations (ODE) are a promising approach to learn dynamic models from time-series data in science and engineering applications. This work aims at learning Neural ODE for stiff systems, which are usually raised…

数值分析 · 数学 2021-10-04 Suyong Kim , Weiqi Ji , Sili Deng , Yingbo Ma , Christopher Rackauckas

Deep reinforcement learning techniques have demonstrated superior performance in a wide variety of environments. As improvements in training algorithms continue at a brisk pace, theoretical or empirical studies on understanding what these…

机器学习 · 计算机科学 2018-11-16 Raghuram Mandyam Annasamy , Katia Sycara

Recent work in deep learning focuses on solving physical systems in the Ordinary Differential Equation or Partial Differential Equation. This current work proposed a variant of Convolutional Neural Networks (CNNs) that can learn the hidden…

机器学习 · 计算机科学 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

Providing fast and accurate solutions to partial differential equations is a problem of continuous interest to the fields of applied mathematics and physics. With the recent advances in machine learning, the adoption learning techniques in…

计算物理 · 物理学 2019-04-16 S. Mohammad H. Hashemi , Demetri Psaltis

Deep neural networks (DNNs) are vulnerable to adversarial examples where inputs with imperceptible perturbations mislead DNNs to incorrect results. Despite the potential risk they bring, adversarial examples are also valuable for providing…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Chongzhi Zhang , Aishan Liu , Xianglong Liu , Yitao Xu , Hang Yu , Yuqing Ma , Tianlin Li

Artificial neural networks, widely recognised for their role in machine learning, are now transforming the study of ordinary differential equations (ODEs), bridging data-driven modelling with classical dynamical systems and enabling the…

最优化与控制 · 数学 2025-04-15 Dario Izzo , Sebastien Origer , Giacomo Acciarini , Francesco Biscani

In recent years, deep learning methods have been successfully applied to single-image super-resolution tasks. Despite their great performances, deep learning methods cannot be easily applied to real-world applications due to the requirement…

计算机视觉与模式识别 · 计算机科学 2018-10-08 Namhyuk Ahn , Byungkon Kang , Kyung-Ah Sohn

In our work, we bridge deep neural network design with numerical differential equations. We show that many effective networks, such as ResNet, PolyNet, FractalNet and RevNet, can be interpreted as different numerical discretizations of…

计算机视觉与模式识别 · 计算机科学 2020-03-24 Yiping Lu , Aoxiao Zhong , Quanzheng Li , Bin Dong

Recently, Neural Architecture Search (NAS) methods are introduced and show impressive performance on many benchmarks. Among those NAS studies, Neural Architecture Transformer (NAT) aims to improve the given neural architecture to have…

机器学习 · 计算机科学 2021-10-20 Do-Guk Kim , Heung-Chang Lee

Large Language Models (LLMs) are known for their expensive and time-consuming training. Thus, oftentimes, LLMs are fine-tuned to address a specific task, given the pretrained weights of a pre-trained LLM considered a foundation model. In…

计算与语言 · 计算机科学 2025-12-05 Eshed Gal , Moshe Eliasof , Javier Turek , Uri Ascher , Eran Treister , Eldad Haber

The subject of deep learning has recently attracted users of machine learning from various disciplines, including: medical diagnosis and bioinformatics, financial market analysis and online advertisement, speech and handwriting recognition,…

机器学习 · 计算机科学 2018-03-12 Charles K. Chui , Shao-Bo Lin , Ding-Xuan Zhou

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be interpreted as a discretization of a parametric Ordinary…

最优化与控制 · 数学 2020-07-07 Joubine Aghili , Olga Mula