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Machine learning is making substantial progress in diverse applications. The success is mostly due to advances in deep learning. However, deep learning can make mistakes and its generalization abilities to new tasks are questionable. We ask…

Traditional convolutional neural networks (CNN) are stationary and feedforward. They neither change their parameters during evaluation nor use feedback from higher to lower layers. Real brains, however, do. So does our Deep Attention…

计算机视觉与模式识别 · 计算机科学 2014-07-29 Marijn Stollenga , Jonathan Masci , Faustino Gomez , Juergen Schmidhuber

Understanding how convolutional neural networks (CNNs) can efficiently learn high-dimensional functions remains a fundamental challenge. A popular belief is that these models harness the local and hierarchical structure of natural data such…

机器学习 · 统计学 2023-06-02 Francesco Cagnetta , Alessandro Favero , Matthieu Wyart

Despite the increasing prevalence of deep neural networks, their applicability in resource-constrained devices is limited due to their computational load. While modern devices exhibit a high level of parallelism, real-time latency is still…

计算机视觉与模式识别 · 计算机科学 2021-09-06 Amir Ben Dror , Niv Zehngut , Avraham Raviv , Evgeny Artyomov , Ran Vitek , Roy Jevnisek

We consider supervised learning with $n$ labels and show that layerwise SGD on residual networks can efficiently learn a class of hierarchical models. This model class assumes the existence of an (unknown) label hierarchy $L_1 \subseteq L_2…

机器学习 · 计算机科学 2026-01-05 Amit Daniely

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…

计算机视觉与模式识别 · 计算机科学 2020-05-19 Dmitry Ulyanov , Andrea Vedaldi , Victor Lempitsky

In i-theory a typical layer of a hierarchical architecture consists of HW modules pooling the dot products of the inputs to the layer with the transformations of a few templates under a group. Such layers include as special cases the…

机器学习 · 计算机科学 2015-08-06 Fabio Anselmi , Lorenzo Rosasco , Cheston Tan , Tomaso Poggio

A generative model is developed for deep (multi-layered) convolutional dictionary learning. A novel probabilistic pooling operation is integrated into the deep model, yielding efficient bottom-up (pretraining) and top-down (refinement)…

机器学习 · 统计学 2015-04-17 Yunchen Pu , Xin Yuan , Lawrence Carin

During the last years, Convolutional Neural Networks (CNNs) have achieved state-of-the-art performance in image classification. Their architectures have largely drawn inspiration by models of the primate visual system. However, while recent…

计算机视觉与模式识别 · 计算机科学 2017-08-24 Georgios Zoumpourlis , Alexandros Doumanoglou , Nicholas Vretos , Petros Daras

Standard infinite-width limits of neural networks sacrifice the ability for intermediate layers to learn representations from data. Recent work (A theory of representation learning gives a deep generalisation of kernel methods, Yang et al.…

机器学习 · 统计学 2024-02-27 Edward Milsom , Ben Anson , Laurence Aitchison

Following the traditional paradigm of convolutional neural networks (CNNs), modern CNNs manage to keep pace with more recent, for example transformer-based, models by not only increasing model depth and width but also the kernel size. This…

计算机视觉与模式识别 · 计算机科学 2023-06-23 Paul Gavrikov , Janis Keuper

Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely the…

机器学习 · 统计学 2018-07-31 Qiang Qiu , Xiuyuan Cheng , Robert Calderbank , Guillermo Sapiro

We focus on the problem of training a deep neural network in generations. The flowchart is that, in order to optimize the target network (student), another network (teacher) with the same architecture is first trained, and used to provide…

计算机视觉与模式识别 · 计算机科学 2018-09-10 Chenglin Yang , Lingxi Xie , Siyuan Qiao , Alan Yuille

This article presents the first results from using a learning classifier system capable of performing adaptive computation with deep neural networks. Individual classifiers within the population are composed of two neural networks. The…

神经与进化计算 · 计算机科学 2021-03-02 Richard J. Preen , Larry Bull

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…

计算机视觉与模式识别 · 计算机科学 2021-07-13 Hanting Chen , Yunhe Wang , Chunjing Xu , Boxin Shi , Chao Xu , Qi Tian , Chang Xu

In this paper, we theoretically address three fundamental problems involving deep convolutional networks regarding invariance, depth and hierarchy. We introduce the paradigm of Transformation Networks (TN) which are a direct generalization…

计算机视觉与模式识别 · 计算机科学 2017-02-27 Dipan K. Pal , Marios Savvides

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…

计算机视觉与模式识别 · 计算机科学 2018-03-23 Sen He , Nicolas Pugeault

It is widely believed that the success of deep convolutional networks is based on progressively discarding uninformative variability about the input with respect to the problem at hand. This is supported empirically by the difficulty of…

机器学习 · 计算机科学 2018-06-25 Jörn-Henrik Jacobsen , Arnold Smeulders , Edouard Oyallon

Deep convolutional neural networks have proven to be well suited for image classification applications. However, if there is distortion in the image, the classification accuracy can be significantly degraded, even with state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2019-02-15 Minho Ha , Younghoon Byeon , Youngjoo Lee , Sunggu Lee

Deep convolutional neural networks (CNN) brought revolution without any doubt to various challenging tasks, mainly in computer vision. However, their model designing still requires attention to reduce number of learnable parameters, with no…

计算机视觉与模式识别 · 计算机科学 2016-08-16 Ihsan Ullah , Alfredo Petrosino