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Currently, deep neural networks are the state of the art on problems such as speech recognition and computer vision. In this extended abstract, we show that shallow feed-forward networks can learn the complex functions previously learned by…

Machine Learning · Computer Science 2014-10-14 Lei Jimmy Ba , Rich Caruana

While depth tends to improve network performances, it also makes gradient-based training more difficult since deeper networks tend to be more non-linear. The recently proposed knowledge distillation approach is aimed at obtaining small and…

Machine Learning · Computer Science 2015-03-30 Adriana Romero , Nicolas Ballas , Samira Ebrahimi Kahou , Antoine Chassang , Carlo Gatta , Yoshua Bengio

Recognizing objects in natural images is an intricate problem involving multiple conflicting objectives. Deep convolutional neural networks, trained on large datasets, achieve convincing results and are currently the state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-10-09 Lars Hertel , Erhardt Barth , Thomas Käster , Thomas Martinetz

Very deep convolutional networks with hundreds of layers have led to significant reductions in error on competitive benchmarks. Although the unmatched expressiveness of the many layers can be highly desirable at test time, training very…

Machine Learning · Computer Science 2016-08-01 Gao Huang , Yu Sun , Zhuang Liu , Daniel Sedra , Kilian Weinberger

While the universal approximation property holds both for hierarchical and shallow networks, we prove that deep (hierarchical) networks can approximate the class of compositional functions with the same accuracy as shallow networks but with…

Machine Learning · Computer Science 2016-05-31 Hrushikesh Mhaskar , Qianli Liao , Tomaso Poggio

We describe a layer-by-layer algorithm for training deep convolutional networks, where each step involves gradient updates for a two layer network followed by a simple clustering algorithm. Our algorithm stems from a deep generative model…

Machine Learning · Computer Science 2018-06-26 Eran Malach , Shai Shalev-Shwartz

Yes, they do. This work investigates a perspective for deep learning: whether different normalization layers in a ConvNet require different normalizers. This is the first step towards understanding this phenomenon. We allow each…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Ping Luo , Zhanglin Peng , Jiamin Ren , Ruimao Zhang

Deep neural network algorithms are difficult to analyze because they lack structure allowing to understand the properties of underlying transforms and invariants. Multiscale hierarchical convolutional networks are structured deep…

Machine Learning · Computer Science 2017-03-14 Jörn-Henrik Jacobsen , Edouard Oyallon , Stéphane Mallat , Arnold W. M. Smeulders

Deep learning has been widely used in data-intensive applications. However, training a deep neural network often requires a large data set. When there is not enough data available for training, the performance of deep learning models is…

Machine Learning · Computer Science 2020-12-02 Peng Peng , Jiugen Wang

This work attempts to interpret modern deep (convolutional) networks from the principles of rate reduction and (shift) invariant classification. We show that the basic iterative gradient ascent scheme for optimizing the rate reduction of…

Machine Learning · Computer Science 2020-10-30 Kwan Ho Ryan Chan , Yaodong Yu , Chong You , Haozhi Qi , John Wright , Yi Ma

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Edouard Oyallon

We study in this work the importance of depth in convolutional models for text classification, either when character or word inputs are considered. We show on 5 standard text classification and sentiment analysis tasks that deep models…

Computation and Language · Computer Science 2017-07-14 Hoa T. Le , Christophe Cerisara , Alexandre Denis

The empirical success of deep learning is often attributed to deep networks' ability to exploit hierarchical structure in data, constructing increasingly complex features across layers. Yet despite substantial progress in deep learning…

Machine Learning · Computer Science 2026-01-28 Yunwei Ren , Yatin Dandi , Florent Krzakala , Jason D. Lee

Deep convolutional networks provide state of the art classifications and regressions results over many high-dimensional problems. We review their architecture, which scatters data with a cascade of linear filter weights and non-linearities.…

Machine Learning · Statistics 2016-04-27 Stéphane Mallat

Title: Comparison between layer-to-layer network training and conventional network training using Deep Convolutional Neural Networks Abstract: Convolutional neural networks (CNNs) are widely used in various applications due to their…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Kiran Kumar Ashish Bhyravabhottla , WonSook Lee

This paper challenges the prevailing view that convolutional neural network (CNN) filters become increasingly specialized in deeper layers. Motivated by recent observations of clusterable repeating patterns in depthwise separable CNNs…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Zahra Babaiee , Peyman M. Kiasari , Daniela Rus , Radu Grosu

One of the most promising ways of improving the performance of deep convolutional neural networks is by increasing the number of convolutional layers. However, adding layers makes training more difficult and computationally expensive. In…

Computer Vision and Pattern Recognition · Computer Science 2015-05-12 Liwei Wang , Chen-Yu Lee , Zhuowen Tu , Svetlana Lazebnik

Recent work has shown that convolutional networks can be substantially deeper, more accurate, and efficient to train if they contain shorter connections between layers close to the input and those close to the output. In this paper, we…

Machine Learning · Computer Science 2020-01-09 Gao Huang , Zhuang Liu , Geoff Pleiss , Laurens van der Maaten , Kilian Q. Weinberger

Traditionally, deep convolutional neural networks consist of a series of convolutional and pooling layers followed by one or more fully connected (FC) layers to perform the final classification. While this design has been successful, for…

Computer Vision and Pattern Recognition · Computer Science 2020-04-30 Zhongchao Qian , Tyler L. Hayes , Kushal Kafle , Christopher Kanan

Deep convolutional neural networks (DCNNs) have attracted much attention recently, and have shown to be able to recognize thousands of object categories in natural image databases. Their architecture is somewhat similar to that of the human…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Saeed Reza Kheradpisheh , Masoud Ghodrati , Mohammad Ganjtabesh , Timothée Masquelier
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