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Artificial neural networks (ANNs) have become a very powerful tool in the approximation of high-dimensional functions. Especially, deep ANNs, consisting of a large number of hidden layers, have been very successfully used in a series of…

数值分析 · 数学 2021-03-09 Philipp Grohs , Shokhrukh Ibragimov , Arnulf Jentzen , Sarah Koppensteiner

Backdoor attacks pose a significant security vulnerability for deep neural networks (DNNs), enabling them to operate normally on clean inputs but manipulate predictions when specific trigger patterns occur. Currently, post-training backdoor…

密码学与安全 · 计算机科学 2024-10-22 Yanghao Su , Jie Zhang , Ting Xu , Tianwei Zhang , Weiming Zhang , Nenghai Yu

A key challenge that threatens the widespread use of neural networks in safety-critical applications is their vulnerability to adversarial attacks. In this paper, we study the second-order behavior of continuously differentiable deep neural…

机器学习 · 计算机科学 2024-06-10 Taha Entesari , Sina Sharifi , Mahyar Fazlyab

Nowadays, deep learning methods, especially the convolutional neural networks (CNNs), have shown impressive performance on extracting abstract and high-level features from the hyperspectral image. However, general training process of CNNs…

计算机视觉与模式识别 · 计算机科学 2020-03-12 Zhiqiang Gong , Ping Zhong , Weidong Hu

We study the problem of approximating and estimating classification functions that have their decision boundary in the $RBV^2$ space. Functions of $RBV^2$ type arise naturally as solutions of regularized neural network learning problems and…

机器学习 · 计算机科学 2024-09-27 Andres Felipe Lerma-Pineda , Philipp Petersen , Simon Frieder , Thomas Lukasiewicz

We present a theoretically well-founded deep learning algorithm for nonparametric regression. It uses over-parametrized deep neural networks with logistic activation function, which are fitted to the given data via gradient descent. We…

统计理论 · 数学 2025-04-14 Michael Kohler , Adam Krzyzak

Neural networks have become a prominent approach to solve inverse problems in recent years. Amongst the different existing methods, the Deep Image/Inverse Priors (DIPs) technique is an unsupervised approach that optimizes a highly…

机器学习 · 计算机科学 2023-03-21 Nathan Buskulic , Yvain Quéau , Jalal Fadili

While deep learning is successful in a number of applications, it is not yet well understood theoretically. A satisfactory theoretical characterization of deep learning however, is beginning to emerge. It covers the following questions: 1)…

机器学习 · 计算机科学 2019-08-27 Tomaso Poggio , Andrzej Banburski , Qianli Liao

This study proposes a deep learning model based on the combination of convolutional neural network (CNN) and bidirectional long short-term memory network (BiLSTM) for discriminant analysis of financial systemic risk. The model first uses…

机器学习 · 计算机科学 2025-02-12 Yu Cheng , Zhen Xu , Yuan Chen , Yuhan Wang , Zhenghao Lin , Jinsong Liu

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

机器学习 · 计算机科学 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

We propose the introduction of nonlinear operation into the feature generation process in convolutional neural networks. This nonlinearity can be implemented in various ways. First we discuss the use of nonlinearities in the process of data…

机器学习 · 计算机科学 2019-05-30 Gavneet Singh Chadha , Andreas Schwung

Convolutional Neural Networks (CNNs) have demonstrated outstanding performance in computer vision tasks such as image classification, detection, segmentation, and medical image analysis. In general, an arbitrary number of epochs is used to…

计算机视觉与模式识别 · 计算机科学 2024-03-06 Sahan Ahmad , Gabriel Trahan , Aminul Islam

We present a new type of backdoor attack that exploits a vulnerability of convolutional neural networks (CNNs) that has been previously unstudied. In particular, we examine the application of facial recognition. Deep learning techniques are…

计算机视觉与模式识别 · 计算机科学 2018-12-10 Jacob Dumford , Walter Scheirer

Deep learning for regression tasks on medical imaging data has shown promising results. However, compared to other approaches, their power is strongly linked to the dataset size. In this study, we evaluate 3D-convolutional neural networks…

计算机视觉与模式识别 · 计算机科学 2018-11-13 Yannick Suter , Alain Jungo , Michael Rebsamen , Urspeter Knecht , Evelyn Herrmann , Roland Wiest , Mauricio Reyes

Deep neural networks are often ignorant about what they do not know and overconfident when they make uninformed predictions. Some recent approaches quantify classification uncertainty directly by training the model to output high…

机器学习 · 计算机科学 2020-06-09 Murat Sensoy , Lance Kaplan , Federico Cerutti , Maryam Saleki

Deep neural networks generalize well despite being heavily overparameterized, in apparent contradiction with classical learning theory based on uniform convergence over fixed hypothesis spaces. Uniform bounds over the entire parameter space…

机器学习 · 统计学 2026-05-15 Hubert Leroux , Jean Marcus , Julien Roger

This paper proposes a set of new error criteria and learning approaches, Adaptive Normalized Risk-Averting Training (ANRAT), to attack the non-convex optimization problem in training deep neural networks (DNNs). Theoretically, we…

机器学习 · 计算机科学 2016-06-10 Zhiguang Wang , Tim Oates , James Lo

It is well-known that modern neural networks are vulnerable to adversarial examples. To mitigate this problem, a series of robust learning algorithms have been proposed. However, although the robust training error can be near zero via some…

机器学习 · 计算机科学 2022-10-17 Binghui Li , Jikai Jin , Han Zhong , John E. Hopcroft , Liwei Wang

Learning to predict solutions to real-valued combinatorial graph problems promises efficient approximations. As demonstrated based on the NP-hard edge clique cover number, recurrent neural networks (RNNs) are particularly suited for this…

机器学习 · 统计学 2019-11-20 Nil-Jana Akpinar , Bernhard Kratzwald , Stefan Feuerriegel

Convolutional Neural Networks (CNNs) have become integral in safety-critical applications, thus raising concerns about their fault tolerance. Conventional hardware-dependent fault tolerance methods, such as Triple Modular Redundancy (TMR),…