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We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Deep convolutional networks have become a popular tool for image generation and restoration. Generally, their excellent performance is imputed to their ability to learn realistic image priors from a large number of example images. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Dmitry Ulyanov , Andrea Vedaldi , Victor Lempitsky

The prediction of salient areas in images has been traditionally addressed with hand-crafted features based on neuroscience principles. This paper, however, addresses the problem with a completely data-driven approach by training a…

Computer Vision and Pattern Recognition · Computer Science 2016-03-03 Junting Pan , Kevin McGuinness , Elisa Sayrol , Noel O'Connor , Xavier Giro-i-Nieto

Deep Convolutional Neural Networks (DCNNs) have recently shown state of the art performance in high level vision tasks, such as image classification and object detection. This work brings together methods from DCNNs and probabilistic…

Computer Vision and Pattern Recognition · Computer Science 2016-06-08 Liang-Chieh Chen , George Papandreou , Iasonas Kokkinos , Kevin Murphy , Alan L. Yuille

The remarkable capability of Transformers to do reasoning and few-shot learning, without any fine-tuning, is widely conjectured to stem from their ability to implicitly simulate a multi-step algorithms -- such as gradient descent -- with…

Machine Learning · Computer Science 2024-10-14 Khashayar Gatmiry , Nikunj Saunshi , Sashank J. Reddi , Stefanie Jegelka , Sanjiv Kumar

When optimizing convolutional neural networks (CNN) for a specific image-based task, specialists commonly overshoot the number of convolutional layers in their designs. By implication, these CNNs are unnecessarily resource intensive to…

Machine Learning · Computer Science 2022-06-23 Mats L. Richter , Julius Schöning , Anna Wiedenroth , Ulf Krumnack

Deep learning refers to the shining branch of machine learning that is based on learning levels of representations. Convolutional Neural Networks (CNN) is one kind of deep neural network. It can study concurrently. In this article, we gave…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Tianyi Liu , Shuangsang Fang , Yuehui Zhao , Peng Wang , Jun Zhang

Although convolutional neural network (CNN) has made great progress, large redundant parameters restrict its deployment on embedded devices, especially mobile devices. The recent compression works are focused on real-value convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Jiasong Wu , Hongshan Ren , Youyong Kong , Chunfeng Yang , Lotfi Senhadji , Huazhong Shu

Convolutional Neural Networks (CNNs) achieve impressive performance in a wide variety of fields. Their success benefited from a massive boost when very deep CNN models were able to be reliably trained. Despite their merits, CNNs fail to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Guohao Li , Matthias Müller , Ali Thabet , Bernard Ghanem

In this paper, we study 1-bit convolutional neural networks (CNNs), of which both the weights and activations are binary. While efficient, the lacking of representational capability and the training difficulty impede 1-bit CNNs from…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Zechun Liu , Wenhan Luo , Baoyuan Wu , Xin Yang , Wei Liu , Kwang-Ting Cheng

In recent years, Deep Learning has become the go-to solution for a broad range of applications, often outperforming state-of-the-art. However, it is important, for both theoreticians and practitioners, to gain a deeper understanding of the…

Machine Learning · Computer Science 2017-04-28 Shai Shalev-Shwartz , Ohad Shamir , Shaked Shammah

We propose a new method for creating computationally efficient convolutional neural networks (CNNs) by using low-rank representations of convolutional filters. Rather than approximating filters in previously-trained networks with more…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Yani Ioannou , Duncan Robertson , Jamie Shotton , Roberto Cipolla , Antonio Criminisi

In recent years, state-of-the-art methods in computer vision have utilized increasingly deep convolutional neural network architectures (CNNs), with some of the most successful models employing hundreds or even thousands of layers. A…

Machine Learning · Statistics 2018-07-11 Lechao Xiao , Yasaman Bahri , Jascha Sohl-Dickstein , Samuel S. Schoenholz , Jeffrey Pennington

We investigate the transformer's capability to simulate the training process of deep models via in-context learning (ICL), i.e., in-context deep learning. Our key contribution is providing a positive example of using a transformer to train…

Machine Learning · Computer Science 2025-04-15 Weimin Wu , Maojiang Su , Jerry Yao-Chieh Hu , Zhao Song , Han Liu

Real-world face detection and alignment demand an advanced discriminative model to address challenges by pose, lighting and expression. Illuminated by the deep learning algorithm, some convolutional neural networks based face detection and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Weilin Cong , Sanyuan Zhao , Hui Tian , Jianbing Shen

Deep convolutional neural networks have achieved impressive performance on a broad range of problems, beating prior art on established benchmarks, but it often remains unclear what are the representations learnt by those systems and how…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Sen He , Nicolas Pugeault

We prove linear convergence of gradient descent to a global optimum for the training of deep residual networks with constant layer width and smooth activation function. We show that if the trained weights, as a function of the layer index,…

Machine Learning · Computer Science 2023-01-26 Rama Cont , Alain Rossier , RenYuan Xu

Successful training of convolutional neural networks is often associated with sufficiently deep architectures composed of high amounts of features. These networks typically rely on a variety of regularization and pruning techniques to…

Computer Vision and Pattern Recognition · Computer Science 2017-10-23 Martin Mundt , Tobias Weis , Kishore Konda , Visvanathan Ramesh

Deep neural networks, in particular convolutional neural networks, have become highly effective tools for compressing images and solving inverse problems including denoising, inpainting, and reconstruction from few and noisy measurements.…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Reinhard Heckel , Paul Hand

Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of this deep learning revolution are familiar concepts from applied and computational mathematics; notably, in calculus,…

History and Overview · Mathematics 2018-01-19 Catherine F. Higham , Desmond J. Higham
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