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The convolution operator at the core of many modern neural architectures can effectively be seen as performing a dot product between an input matrix and a filter. While this is readily applicable to data such as images, which can be…

Machine Learning · Computer Science 2025-11-26 Luca Cosmo , Giorgia Minello , Alessandro Bicciato , Michael Bronstein , Emanuele Rodolà , Luca Rossi , Andrea Torsello

For most deep learning practitioners, sequence modeling is synonymous with recurrent networks. Yet recent results indicate that convolutional architectures can outperform recurrent networks on tasks such as audio synthesis and machine…

Machine Learning · Computer Science 2018-04-20 Shaojie Bai , J. Zico Kolter , Vladlen Koltun

While it is widely known that neural networks are universal approximators of continuous functions, a less known and perhaps more powerful result is that a neural network with a single hidden layer can approximate accurately any nonlinear…

Machine Learning · Computer Science 2021-11-03 Lu Lu , Pengzhan Jin , George Em Karniadakis

Convolutional Neural Networks (ConvNets) are commonly developed at a fixed resource budget, and then scaled up for better accuracy if more resources are available. In this paper, we systematically study model scaling and identify that…

Machine Learning · Computer Science 2020-09-14 Mingxing Tan , Quoc V. Le

Due to the advent of modern embedded systems and mobile devices with constrained resources, there is a great demand for incredibly efficient deep neural networks for machine learning purposes. There is also a growing concern of privacy and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Priyank Kalgaonkar , Mohamed El-Sharkawy

We consider a family of deep neural networks consisting of two groups of convolutional layers, a downsampling operator, and a fully connected layer. The network structure depends on two structural parameters which determine the numbers of…

Machine Learning · Computer Science 2021-07-05 Tong Mao , Zhongjie Shi , Ding-Xuan Zhou

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

Machine Learning · Computer Science 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

Understanding how neural networks transform input data across layers is fundamental to unraveling their learning and generalization capabilities. Although prior work has used insights from kernel methods to study neural networks, a global…

Machine Learning · Computer Science 2024-10-30 Amir Joudaki , Thomas Hofmann

We present a novel and practical deep fully convolutional neural network architecture for semantic pixel-wise segmentation termed SegNet. This core trainable segmentation engine consists of an encoder network, a corresponding decoder…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Vijay Badrinarayanan , Alex Kendall , Roberto Cipolla

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

The convolution operator is the fundamental building block of modern convolutional neural networks (CNNs), owing to its simplicity, translational equivariance, and efficient implementation. However, its structure as a fixed, linear,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Simone Cammarasana

The driving force behind deep networks is their ability to compactly represent rich classes of functions. The primary notion for formally reasoning about this phenomenon is expressive efficiency, which refers to a situation where one…

Machine Learning · Computer Science 2018-02-14 Nadav Cohen , Ronen Tamari , Amnon Shashua

Since the breakthrough performance of AlexNet in 2012, convolutional neural networks (convnets) have grown into extremely powerful vision models. Deep learning researchers have used convnets to perform vision tasks with accuracy that was…

Machine Learning · Computer Science 2024-05-22 Andrew Lavin

In this work we demonstrate a novel separation between symmetric neural network architectures. Specifically, we consider the Relational Network~\parencite{santoro2017simple} architecture as a natural generalization of the…

Machine Learning · Computer Science 2022-12-13 Aaron Zweig , Joan Bruna

Convolutional networks are powerful visual models that yield hierarchies of features. We show that convolutional networks by themselves, trained end-to-end, pixels-to-pixels, exceed the state-of-the-art in semantic segmentation. Our key…

Computer Vision and Pattern Recognition · Computer Science 2015-03-10 Jonathan Long , Evan Shelhamer , Trevor Darrell

The use of Convolutional Neural Networks (CNNs) is widespread in Deep Learning due to a range of desirable model properties which result in an efficient and effective machine learning framework. However, performant CNN architectures must be…

Convolutional networks are powerful visual models that yield hierarchies of features. We show that convolutional networks by themselves, trained end-to-end, pixels-to-pixels, improve on the previous best result in semantic segmentation. Our…

Computer Vision and Pattern Recognition · Computer Science 2016-05-23 Evan Shelhamer , Jonathan Long , Trevor Darrell

Deep learning has been widely applied and brought breakthroughs in speech recognition, computer vision, and many other domains. The involved deep neural network architectures and computational issues have been well studied in machine…

Machine Learning · Computer Science 2018-07-23 Ding-Xuan Zhou

Comparing to deep neural networks trained for specific tasks, those foundational deep networks trained on generic datasets such as ImageNet classification, benefits from larger-scale datasets, simpler network structure and easier training…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Jianqiao Wangni

Compared with cheap addition operation, multiplication operation is of much higher computation complexity. The widely-used convolutions in deep neural networks are exactly cross-correlation to measure the similarity between input feature…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Hanting Chen , Yunhe Wang , Chunjing Xu , Boxin Shi , Chao Xu , Qi Tian , Chang Xu