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Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

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

Interpretability of Deep Neural Networks has become a major area of exploration. Although these networks have achieved state of the art accuracy in many tasks, it is extremely difficult to interpret and explain their decisions. In this work…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Akshay Badola , Cherian Roy , Vineet Padmanabhan , Rajendra Lal

The need for consistent treatment of uncertainty has recently triggered increased interest in probabilistic deep learning methods. However, most current approaches have severe limitations when it comes to inference, since many of these…

When writing programs, people have the ability to tackle a new complex task by decomposing it into smaller and more familiar subtasks. While it is difficult to measure whether neural program synthesis methods have similar capabilities, what…

Machine Learning · Computer Science 2023-10-31 Kensen Shi , Joey Hong , Manzil Zaheer , Pengcheng Yin , Charles Sutton

Artificial neural networks have recently shown great results in many disciplines and a variety of applications, including natural language understanding, speech processing, games and image data generation. One particular application in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-07 Felix Altenberger , Claus Lenz

Ensemble learning combines several individual models to obtain better generalization performance. Currently, deep learning architectures are showing better performance compared to the shallow or traditional models. Deep ensemble learning…

Machine Learning · Computer Science 2022-08-09 M. A. Ganaie , Minghui Hu , A. K. Malik , M. Tanveer , P. N. Suganthan

In recent studies [1][13][12] Recurrent Neural Networks were used for generative processes and their surprising performance can be explained by their ability to create good predictions. In addition, data compression is also based on…

Computation and Language · Computer Science 2017-05-03 Juan Andrés Laura , Gabriel Masi , Luis Argerich

Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

In this paper, we propose a new deep unfolding neural network based on the ADMM algorithm for analysis Compressed Sensing. The proposed network jointly learns a redundant analysis operator for sparsification and reconstructs the signal of…

Information Theory · Computer Science 2022-05-03 Vasiliki Kouni , Georgios Paraskevopoulos , Holger Rauhut , George C. Alexandropoulos

Weighted summation has remained the default input aggregation mechanism in artificial neurons since the earliest neural network models. While computationally efficient, this design implicitly behaves like a mean-based estimator and is…

Machine Learning · Computer Science 2026-03-23 Berke Deniz Bozyigit

Convolutional rectifier networks, i.e. convolutional neural networks with rectified linear activation and max or average pooling, are the cornerstone of modern deep learning. However, despite their wide use and success, our theoretical…

Neural and Evolutionary Computing · Computer Science 2016-10-18 Nadav Cohen , Amnon Shashua

There has been much interest in deploying deep learning algorithms on low-powered devices, including smartphones, drones, and medical sensors. However, full-scale deep neural networks are often too resource-intensive in terms of energy and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Yoshitomo Matsubara , Ruihan Yang , Marco Levorato , Stephan Mandt

Graph neural networks (GNNs) are one of the most popular approaches to using deep learning on graph-structured data, and they have shown state-of-the-art performances on a variety of tasks. However, according to a recent study, a careful…

Machine Learning · Computer Science 2021-10-08 Jihoon Ko , Taehyung Kwon , Kijung Shin , Juho Lee

Graph Neural Networks (GNNs), neural network architectures targeted to learning representations of graphs, have become a popular learning model for prediction tasks on nodes, graphs and configurations of points, with wide success in…

Machine Learning · Computer Science 2022-04-19 Stefanie Jegelka

We show that deep networks are better than shallow networks at approximating functions that can be expressed as a composition of functions described by a directed acyclic graph, because the deep networks can be designed to have the same…

Machine Learning · Computer Science 2019-11-26 H. N. Mhaskar , T. Poggio

Compositional generalization, the ability of an agent to generalize to unseen combinations of latent factors, is easy for humans but hard for deep neural networks. A line of research in cognitive science has hypothesized a process,…

Machine Learning · Computer Science 2023-10-31 Yi Ren , Samuel Lavoie , Mikhail Galkin , Danica J. Sutherland , Aaron Courville

Convolutional neural networks model the transformation of the input sensory data at the bottom of a network hierarchy to the semantic information at the top of the visual hierarchy. Feedforward processing is sufficient for some object…

Computer Vision and Pattern Recognition · Computer Science 2020-02-05 Mahdi Biparva , John Tsotsos

Image decomposition aims to analyze an image into elementary components, which is essential for numerous downstream tasks and also by nature provides certain interpretability to the analysis. Deep learning can be powerful for such tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sihan Wang , Shangqi Gao , Fuping Wu , Xiahai Zhuang

We consider a general framework for reducing the number of trainable model parameters in deep learning networks by decomposing linear operators as a product of sums of simpler linear operators. Recently proposed deep learning architectures…

Machine Learning · Computer Science 2019-05-27 Chai Wah Wu
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