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Deep neural networks (DNNs) are powerful black-box predictors that have achieved impressive performance on a wide variety of tasks. However, their accuracy comes at the cost of intelligibility: it is usually unclear how they make their…

Machine Learning · Computer Science 2021-10-26 Rishabh Agarwal , Levi Melnick , Nicholas Frosst , Xuezhou Zhang , Ben Lengerich , Rich Caruana , Geoffrey Hinton

Deep neural networks (DNNs) have demonstrated remarkable empirical performance in large-scale supervised learning problems, particularly in scenarios where both the sample size $n$ and the dimension of covariates $p$ are large. This study…

Machine Learning · Statistics 2024-07-12 Yuqian Zhang , Jelena Bradic

Deep neural networks (DNNs) have demonstrated remarkable performance in many tasks but it often comes at a high computational cost and memory usage. Compression techniques, such as pruning and quantization, are applied to reduce the memory…

Machine Learning · Computer Science 2025-07-09 Kimia Soroush , Mohsen Raji , Behnam Ghavami

Deep neural networks (DNNs) have achieved superior performance in various prediction tasks, but can be very vulnerable to adversarial examples or perturbations. Therefore, it is crucial to measure the sensitivity of DNNs to various forms of…

Machine Learning · Statistics 2019-12-23 Hai Shu , Hongtu Zhu

Deep neural networks (DNNs) are famous for their high prediction accuracy, but they are also known for their black-box nature and poor interpretability. We consider the problem of variable selection, that is, selecting the input variables…

Machine Learning · Statistics 2019-09-18 Zixuan Song , Jun Li

In recent years, convolutional neural networks (CNNs) have been applied successfully in many fields. However, such deep neural models are still regarded as black box in most tasks. One of the fundamental issues underlying this problem is…

Computer Vision and Pattern Recognition · Computer Science 2021-11-04 Dawei Dai , Yutang Li , Huanan Bao , Sy Xia , Guoyin Wang , Xiaoli Ma

Deep learning has become an essential part of computer vision, with deep neural networks (DNNs) excelling in predictive performance. However, they often fall short in other critical quality dimensions, such as robustness, calibration, or…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Robin Hesse , Doğukan Bağcı , Bernt Schiele , Simone Schaub-Meyer , Stefan Roth

As deep neural networks (DNNs) are increasingly used in safety-critical applications, there is a growing concern for their reliability. Even highly trained, high-performant networks are not 100% accurate. However, it is very difficult to…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Eduard Pinconschi , Divya Gopinath , Rui Abreu , Corina S. Pasareanu

Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of…

Machine Learning · Computer Science 2018-12-12 Lars Ruthotto , Eldad Haber

Understanding how deep neural networks learn representations remains a central challenge in machine learning theory. In this work, we propose a feature-centric framework for analyzing neural network training by relating weight updates to…

Machine Learning · Computer Science 2026-05-08 Taehun Cha , Daniel Beaglehole , Adityanarayanan Radhakrishnan , Donghun Lee

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains…

Machine Learning · Computer Science 2025-11-19 Takuro Kutsuna

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

This paper integrates deep neural networks (DNNs) into structural economic models to increase flexibility and capture rich heterogeneity while preserving interpretability. Economic structure and machine learning are complements in empirical…

Econometrics · Economics 2025-04-28 Max H. Farrell , Tengyuan Liang , Sanjog Misra

Deep neural networks (DNNs) play a crucial role in the field of machine learning, demonstrating state-of-the-art performance across various application domains. However, despite their success, DNN-based models may occasionally exhibit…

Machine Learning · Computer Science 2024-07-02 Guy Amir , Osher Maayan , Tom Zelazny , Guy Katz , Michael Schapira

Understanding feature representation for deep neural networks (DNNs) remains an open question within the general field of explainable AI. We use principal component analysis (PCA) to study the performance of a k-nearest neighbors classifier…

Machine Learning · Computer Science 2023-09-28 Amit Harlev , Andrew Engel , Panos Stinis , Tony Chiang

In recent years, deep neural networks have been applied to obtain high performance of prediction, classification, and pattern recognition. However, the weights in these deep neural networks are difficult to be explained. Although a linear…

Machine Learning · Computer Science 2020-05-08 Chi-Hua Chen

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

Machine Learning · Computer Science 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

The mainstream AI community has seen a rise in large-scale open-source classifiers, often pre-trained on vast datasets and tested on standard benchmarks; however, users facing diverse needs and limited, expensive test data may be…

Machine Learning · Computer Science 2024-07-19 Nathaniel Dean , Dilip Sarkar

Deep neural networks have demonstrated remarkable performance across various domains, yet their decision-making processes remain opaque. Although many explanation methods are dedicated to bringing the obscurity of DNNs to light, they…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Kanglong Fan , Yunqiao Yang , Chen Ma

Deep Convolutional Neural Networks (CNN) have exhibited superior performance in many visual recognition tasks including image classification, object detection, and scene label- ing, due to their large learning capacity and resistance to…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Miao Sun , Tony X. Han , Xun Xu , Ming-Chang Liu , Ahmad Khodayari-Rostamabad
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