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Accurate modelling and quantification of predictive uncertainty is crucial in deep learning since it allows a model to make safer decisions when the data is ambiguous and facilitates the users' understanding of the model's confidence in its…

机器学习 · 统计学 2025-08-26 Soumyasundar Pal , Liheng Ma , Amine Natik , Yingxue Zhang , Mark Coates

In this paper we use deep feedforward artificial neural networks to approximate solutions to partial differential equations in complex geometries. We show how to modify the backpropagation algorithm to compute the partial derivatives of the…

机器学习 · 统计学 2018-08-28 Jens Berg , Kaj Nyström

Neural network training is inherently sequential where the layers finish the forward propagation in succession, followed by the calculation and back-propagation of gradients (based on a loss function) starting from the last layer. The…

机器学习 · 计算机科学 2023-12-01 Vahid Janfaza , Shantanu Mandal , Farabi Mahmud , Abdullah Muzahid

Proximal gradient-based optimization is one of the most common strategies to solve inverse problem of images, and it is easy to implement. However, these techniques often generate heavy artifacts in image reconstruction. One of the most…

图像与视频处理 · 电气工程与系统科学 2023-10-13 Xiaohong Fan , Yin Yang , Ke Chen , Yujie Feng , Jianping Zhang

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

图像与视频处理 · 电气工程与系统科学 2020-07-20 Dongdong Chen , Mike E. Davies

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

A common approach to solve inverse imaging problems relies on finding a maximum a posteriori (MAP) estimate of the original unknown image, by solving a minimization problem. In thiscontext, iterative proximal algorithms are widely used,…

计算机视觉与模式识别 · 计算机科学 2024-08-22 Hoang Trieu Vy Le , Audrey Repetti , Nelly Pustelnik

Manifold learning-based encoders have been playing important roles in nonlinear dimensionality reduction (NLDR) for data exploration. However, existing methods can often fail to preserve geometric, topological and/or distributional…

机器学习 · 计算机科学 2021-05-04 Stan Z. Li , Zelin Zang , Lirong Wu

Implementations of symmetric positive definite (SPD) matrix-based neural networks for neural decoding remain fragmented across research codebases and Python packages. Existing implementations often employ ad hoc handling of manifold…

The backpropagation algorithm remains the dominant and most successful method for training deep neural networks (DNNs). At the same time, training DNNs at scale comes at a significant computational cost and therefore a high carbon…

机器学习 · 计算机科学 2025-11-12 Sander Dalm , Joshua Offergeld , Nasir Ahmad , Marcel van Gerven

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

计算机视觉与模式识别 · 计算机科学 2024-10-17 Shen Fan , Przemyslaw Musialski

In this paper, we propose BPGrad, a novel approximate algorithm for deep nueral network training, based on adaptive estimates of feasible region via branch-and-bound. The method is based on the assumption of Lipschitz continuity in…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Yuanwei Wu , Ziming Zhang , Guanghui Wang

Training directed neural networks typically requires forward-propagating data through a computation graph, followed by backpropagating error signal, to produce weight updates. All layers, or more generally, modules, of the network are…

Deep neural networks have dramatically advanced the state of the art for many areas of machine learning. Recently they have been shown to have a remarkable ability to generate highly complex visual artifacts such as images and text rather…

计算机视觉与模式识别 · 计算机科学 2016-07-08 Andrey Zhmoginov , Mark Sandler

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

机器学习 · 计算机科学 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

Recent applications of deep learning to navigation have generated end-to-end navigation solutions whereby visual sensor input is mapped to control signals or to motion primitives. The resulting visual navigation strategies work very well at…

机器人学 · 计算机科学 2018-01-17 Justin S. Smith , Jin-Ha Hwang , Fu-Jen Chu , Patricio A. Vela

Automated surface segmentation is important and challenging in many medical image analysis applications. Recent deep learning based methods have been developed for various object segmentation tasks. Most of them are a classification based…

图像与视频处理 · 电气工程与系统科学 2020-07-03 Leixin Zhou , Xiaodong Wu

Pansharpening in remote sensing image aims at acquiring a high-resolution multispectral (HRMS) image directly by fusing a low-resolution multispectral (LRMS) image with a panchromatic (PAN) image. The main concern is how to effectively…

图像与视频处理 · 电气工程与系统科学 2021-11-25 Jiahui Ni , Zhimin Shao , Zhongzhou Zhang , Mingzheng Hou , Jiliu Zhou , Leyuan Fang , Yi Zhang

Modern deep learning developments create new opportunities for 3D mapping technology, scene reconstruction pipelines, and virtual reality development. Despite advances in 3D deep learning technology, direct training of deep learning models…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Xueyang Kang

We propose a novel deep learning method for local self-supervised representation learning that does not require labels nor end-to-end backpropagation but exploits the natural order in data instead. Inspired by the observation that…

机器学习 · 计算机科学 2020-01-28 Sindy Löwe , Peter O'Connor , Bastiaan S. Veeling