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Interpretability has become an important issue in the machine learning field, along with the success of layered neural networks in various practical tasks. Since a trained layered neural network consists of a complex nonlinear relationship…

机器学习 · 统计学 2018-05-22 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

计算物理 · 物理学 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

Image generating neural networks are mostly viewed as black boxes, where any change in the input can have a number of globally effective changes on the output. In this work, we propose a method for learning disentangled representations to…

计算机视觉与模式识别 · 计算机科学 2019-08-27 Maren Awiszus , Hanno Ackermann , Bodo Rosenhahn

Convolutional neural networks (CNNs) have been demonstrated their powerful ability to extract discriminative features for hyperspectral image classification. However, general deep learning methods for CNNs ignore the influence of complex…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Zhiqiang Gong , Xian Zhou , Wen Yao

Non-linear spectral decompositions of images based on one-homogeneous functionals such as total variation have gained considerable attention in the last few years. Due to their ability to extract spectral components corresponding to objects…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Tamara G. Grossmann , Yury Korolev , Guy Gilboa , Carola-Bibiane Schönlieb

Linear programming has played a crucial role in shaping decision-making, resource allocation, and cost reduction in various domains. In this paper, we investigate the application of overparametrized neural networks and their implicit bias…

最优化与控制 · 数学 2023-10-05 Haoyue Wang , Promit Ghosal , Rahul Mazumder

Self-supervised learning for inverse problems allows to train a reconstruction network from noise and/or incomplete data alone. These methods have the potential of enabling learning-based solutions when obtaining ground-truth references for…

计算机视觉与模式识别 · 计算机科学 2026-05-14 Victor Sechaud , Jérémy Scanvic , Quentin Barthélemy , Patrice Abry , Julián Tachella

Deep learning algorithms have demonstrated state-of-the-art performance in various tasks of image restoration. This was made possible through the ability of CNNs to learn from large exemplar sets. However, the latter becomes an issue for…

计算机视觉与模式识别 · 计算机科学 2019-12-05 Oleksii Sidorov , Jon Yngve Hardeberg

Learning to reconstruct depths in a single image by watching unlabeled videos via deep convolutional network (DCN) is attracting significant attention in recent years. In this paper, we introduce a surface normal representation for…

计算机视觉与模式识别 · 计算机科学 2017-11-13 Zhenheng Yang , Peng Wang , Wei Xu , Liang Zhao , Ramakant Nevatia

Developing efficient methods for solving parametric partial differential equations is crucial for addressing inverse problems. This work introduces a Least-Squares-based Neural Network (LS-Net) method for solving linear parametric PDEs. It…

数值分析 · 数学 2025-02-13 Shima Baharlouei , Jamie M. Taylor , Carlos Uriarte , David Pardo

In this paper, we propose a deep convolutional neural network for learning the embeddings of images in order to capture the notion of visual similarity. We present a deep siamese architecture that when trained on positive and negative pairs…

计算机视觉与模式识别 · 计算机科学 2019-01-14 Rishab Sharma , Anirudha Vishvakarma

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

最优化与控制 · 数学 2021-12-07 Rishabh Gupta , Qi Zhang

Recovering a high-quality image from noisy indirect measurements is an important problem with many applications. For such inverse problems, supervised deep convolutional neural network (CNN)-based denoising methods have shown strong…

图像与视频处理 · 电气工程与系统科学 2020-09-16 Allard A. Hendriksen , Daniel M. Pelt , K. Joost Batenburg

Joint diagonalization, the process of finding a shared set of approximate eigenvectors for a collection of matrices, arises in diverse applications such as multidimensional harmonic analysis or quantum information theory. This task is…

最优化与控制 · 数学 2025-02-12 Erik Troedsson , Marcus Carlsson , Herwig Wendt

In recent years, deep neural networks have emerged as a solution for inverse imaging problems. These networks are generally trained using pairs of images: one degraded and the other of high quality, the latter being called 'ground truth'.…

信息检索 · 计算机科学 2025-10-01 Victor Sechaud , Patrice Abry , Laurent Jacques , Julián Tachella

The idea of end-to-end learning of communication systems through neural network-based autoencoders has the shortcoming that it requires a differentiable channel model. We present in this paper a novel learning algorithm which alleviates…

信息论 · 计算机科学 2019-07-02 Fayçal Ait Aoudia , Jakob Hoydis

In this paper we formulate structure from motion as a learning problem. We train a convolutional network end-to-end to compute depth and camera motion from successive, unconstrained image pairs. The architecture is composed of multiple…

计算机视觉与模式识别 · 计算机科学 2018-01-18 Benjamin Ummenhofer , Huizhong Zhou , Jonas Uhrig , Nikolaus Mayer , Eddy Ilg , Alexey Dosovitskiy , Thomas Brox

A square-root-free matrix QR decomposition (QRD) scheme was rederived in [1] based on [2] to simplify computations when solving least-squares (LS) problems on embedded systems. The scheme of [1] aims at eliminating both the square-root and…

数值分析 · 计算机科学 2016-05-18 Mohammad M. Mansour

Weight decay is ubiquitous in training deep neural network architectures. Its empirical success is often attributed to capacity control; nonetheless, our theoretical understanding of its effect on the loss landscape and the set of…

机器学习 · 统计学 2026-03-31 Anil Kamber , Rahul Parhi

Previous face inverse rendering methods often require synthetic data with ground truth and/or professional equipment like a lighting stage. However, a model trained on synthetic data or using pre-defined lighting priors is typically unable…

计算机视觉与模式识别 · 计算机科学 2023-01-31 Meng Wang , Xiaojie Guo , Wenjing Dai , Jiawan Zhang