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Understanding what makes high-dimensional data learnable is a fundamental question in machine learning. On the one hand, it is believed that the success of deep learning lies in its ability to build a hierarchy of representations that…

机器学习 · 统计学 2024-05-03 Umberto Tomasini , Matthieu Wyart

Convolutional neural networks are the most successful models in single image super-resolution. Deeper networks, residual connections, and attention mechanisms have further improved their performance. However, these strategies often improve…

图像与视频处理 · 电气工程与系统科学 2020-12-09 Parichehr Behjati , Pau Rodriguez , Armin Mehri , Isabelle Hupont , Carles Fernández Tena , Jordi Gonzalez

Even though convolutional neural networks have become the method of choice in many fields of computer vision, they still lack interpretability and are usually designed manually in a cumbersome trial-and-error process. This paper aims at…

Representing and exploiting multivariate signals requires capturing relations between variables, which we can represent by graphs. Graph dictionaries allow to describe complex relational information as a sparse sum of simpler structures,…

机器学习 · 计算机科学 2026-01-09 William Cappelletti , Pascal Frossard

The recently proposed multi-layer sparse model has raised insightful connections between sparse representations and convolutional neural networks (CNN). In its original conception, this model was restricted to a cascade of convolutional…

图像与视频处理 · 电气工程与系统科学 2018-07-26 Aviad Aberdam , Jeremias Sulam , Michael Elad

We introduce a principled approach for unsupervised structure learning of deep neural networks. We propose a new interpretation for depth and inter-layer connectivity where conditional independencies in the input distribution are encoded…

机器学习 · 统计学 2018-10-18 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Guy Koren , Gal Novik

Two architectures that generalize convolutional neural networks (CNNs) for the processing of signals supported on graphs are introduced. We start with the selection graph neural network (GNN), which replaces linear time invariant filters…

信号处理 · 电气工程与系统科学 2019-01-30 Fernando Gama , Antonio G. Marques , Geert Leus , Alejandro Ribeiro

Traditional dictionary learning based CT reconstruction methods are patch-based and the features learned with these methods often contain shifted versions of the same features. To deal with these problems, the convolutional sparse coding…

医学物理 · 物理学 2018-10-16 Peng Bao , Wenjun Xia , Kang Yang , Jiliu Zhou , Yi Zhang

In image denoising networks, feature scaling is widely used to enlarge the receptive field size and reduce computational costs. This practice, however, also leads to the loss of high-frequency information and fails to consider within-scale…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Hao Shen , Zhong-Qiu Zhao , Wandi Zhang

In this paper, we introduce a Deep Convolutional Analysis Dictionary Model (DeepCAM) by learning convolutional dictionaries instead of unstructured dictionaries as in the case of deep analysis dictionary model introduced in the companion…

机器学习 · 统计学 2020-02-04 Jun-Jie Huang , Pier Luigi Dragotti

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

机器学习 · 计算机科学 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

Deep generative models have shown great promise when it comes to synthesising novel images. While they can generate images that look convincing on a higher-level, generating fine-grained details is still a challenge. In order to foster…

计算机视觉与模式识别 · 计算机科学 2019-01-15 Andrin Jenal , Nikolay Savinov , Torsten Sattler , Gaurav Chaurasia

Convolutional neural networks (CNNs) have rapidly risen in popularity for many machine learning applications, particularly in the field of image recognition. Much of the benefit generated from these networks comes from their ability to…

量子物理 · 物理学 2019-04-10 Maxwell Henderson , Samriddhi Shakya , Shashindra Pradhan , Tristan Cook

Aliasing refers to the phenomenon that high frequency signals degenerate into completely different ones after sampling. It arises as a problem in the context of deep learning as downsampling layers are widely adopted in deep architectures…

计算机视觉与模式识别 · 计算机科学 2020-08-24 Xueyan Zou , Fanyi Xiao , Zhiding Yu , Yong Jae Lee

Apart from discriminative models for classification and object detection tasks, the application of deep convolutional neural networks to basic research utilizing natural imaging data has been somewhat limited; particularly in cases where a…

计算机视觉与模式识别 · 计算机科学 2020-09-22 R. Ian Etheredge , Manfred Schartl , Alex Jordan

We propose introspective convolutional networks (ICN) that emphasize the importance of having convolutional neural networks empowered with generative capabilities. We employ a reclassification-by-synthesis algorithm to perform training…

计算机视觉与模式识别 · 计算机科学 2018-01-08 Long Jin , Justin Lazarow , Zhuowen Tu

Convolutional neural networks (CNNs) have achieved remarkable performance in various fields, particularly in the domain of computer vision. However, why this architecture works well remains to be a mystery. In this work we move a small step…

机器学习 · 计算机科学 2019-05-27 Bing Yu , Junzhao Zhang , Zhanxing Zhu

We propose a convolutional recurrent sparse auto-encoder model. The model consists of a sparse encoder, which is a convolutional extension of the learned ISTA (LISTA) method, and a linear convolutional decoder. Our strategy offers a simple…

信号处理 · 电气工程与系统科学 2020-01-22 Hillel Sreter , Raja Giryes

We address the problem of prediction of multivariate data process using an underlying graph model. We develop a method that learns a sparse partial correlation graph in a tuning-free and computationally efficient manner. Specifically, the…

机器学习 · 统计学 2018-11-19 Arun Venkitaraman , Dave Zachariah

Deep learning methods are powerful tools but often suffer from expensive computation and limited flexibility. An alternative is to combine light-weight models with deep representations. As successful cases exist in several visual problems,…

计算机视觉与模式识别 · 计算机科学 2015-09-25 Bin Yang , Junjie Yan , Zhen Lei , Stan Z. Li