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Most set prediction models in deep learning use set-equivariant operations, but they actually operate on multisets. We show that set-equivariant functions cannot represent certain functions on multisets, so we introduce the more appropriate…

机器学习 · 计算机科学 2022-02-07 Yan Zhang , David W. Zhang , Simon Lacoste-Julien , Gertjan J. Burghouts , Cees G. M. Snoek

Convolutional neural networks (CNNs) work well on large datasets. But labelled data is hard to collect, and in some applications larger amounts of data are not available. The problem then is how to use CNNs with small data -- as CNNs…

机器学习 · 统计学 2016-01-19 Yarin Gal , Zoubin Ghahramani

Equivariant machine learning is an approach for designing deep learning models that respect the symmetries of the problem, with the aim of reducing model complexity and improving generalization. In this paper, we focus on an extension of…

机器学习 · 计算机科学 2024-12-10 Ya-Wei Eileen Lin , Ronen Talmon , Ron Levie

We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

计算物理 · 物理学 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

Dictionary learning algorithms or supervised deep convolution networks have considerably improved the efficiency of predefined feature representations such as SIFT. We introduce a deep scattering convolution network, with predefined wavelet…

计算机视觉与模式识别 · 计算机科学 2015-06-02 Edouard Oyallon , Stéphane Mallat

Convolutional Neural Networks (CNNs) are extremely efficient, since they exploit the inherent translation-invariance of natural images. However, translation is just one of a myriad of useful spatial transformations. Can the same efficiency…

计算机视觉与模式识别 · 计算机科学 2021-12-02 João F. Henriques , Andrea Vedaldi

This paper presents a comparative study of a custom convolutional neural network (CNN) architecture against widely used pretrained and transfer learning CNN models across five real-world image datasets. The datasets span binary…

计算机视觉与模式识别 · 计算机科学 2026-01-06 Mahmudul Hasan , Mabsur Fatin Bin Hossain

We challenge the longstanding assumption that the mean-field approximation for variational inference in Bayesian neural networks is severely restrictive, and show this is not the case in deep networks. We prove several results indicating…

机器学习 · 计算机科学 2021-03-11 Sebastian Farquhar , Lewis Smith , Yarin Gal

Deep learning became the method of choice in recent year for solving a wide variety of predictive analytics tasks. For sequence prediction, recurrent neural networks (RNN) are often the go-to architecture for exploiting sequential…

机器学习 · 计算机科学 2016-11-09 Kin Gwn Lore , Daniel Stoecklein , Michael Davies , Baskar Ganapathysubramanian , Soumik Sarkar

Neural networks have achieved remarkable performance across various problem domains, but their widespread applicability is hindered by inherent limitations such as overconfidence in predictions, lack of interpretability, and vulnerability…

机器学习 · 统计学 2023-09-29 Julyan Arbel , Konstantinos Pitas , Mariia Vladimirova , Vincent Fortuin

Deep learning models, such as convolutional neural networks, have long been applied to image and multi-media tasks, particularly those with structured data. More recently, there has been more attention to unstructured data that can be…

机器学习 · 计算机科学 2021-09-17 Rohitash Chandra , Ayush Bhagat , Manavendra Maharana , Pavel N. Krivitsky

Inverse problems arise anywhere we have indirect measurement. As, in general they are ill-posed, to obtain satisfactory solutions for them needs prior knowledge. Classically, different regularization methods and Bayesian inference based…

机器学习 · 统计学 2023-08-31 Ali Mohammad-Djafari , Ning Chu , Li Wang , Liang Yu

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

Convolutional neural networks (CNNs) with deep architectures have substantially advanced the state-of-the-art in computer vision tasks. However, deep networks are typically resource-intensive and thus difficult to be deployed on mobile…

神经与进化计算 · 计算机科学 2017-06-08 Yiwen Guo , Anbang Yao , Hao Zhao , Yurong Chen

Recent advances in deep learning have led to a paradigm shift in the field of reversible steganography. A fundamental pillar of reversible steganography is predictive modelling which can be realised via deep neural networks. However,…

机器学习 · 计算机科学 2023-03-08 Ching-Chun Chang

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

机器学习 · 计算机科学 2026-03-03 Wenlong Chen

Deep Neural Networks (DNN) and especially Convolutional Neural Networks (CNN) are a de-facto standard for the analysis of large volumes of signals and images. Yet, their development and underlying principles have been largely performed in…

信息论 · 计算机科学 2022-03-24 Ljubisa Stankovic , Danilo Mandic

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

In this work, we focus on variational Bayesian inference on the sparse Deep Neural Network (DNN) modeled under a class of spike-and-slab priors. Given a pre-specified sparse DNN structure, the corresponding variational posterior contraction…

统计理论 · 数学 2020-08-04 Jincheng Bai , Qifan Song , Guang Cheng

Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

统计计算 · 统计学 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn