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Whereas it is believed that techniques such as Adam, batch normalization and, more recently, SeLU nonlinearities "solve" the exploding gradient problem, we show that this is not the case in general and that in a range of popular MLP…

机器学习 · 计算机科学 2018-04-10 George Philipp , Dawn Song , Jaime G. Carbonell

Federated learning (FL) emerged as a promising learning paradigm to enable a multitude of participants to construct a joint ML model without exposing their private training data. Existing FL designs have been shown to exhibit…

密码学与安全 · 计算机科学 2021-08-17 Lingjuan Lyu , Chen Chen

Overwhelming theoretical and empirical evidence shows that mildly overparametrized neural networks -- those with more connections than the size of the training data -- are often able to memorize the training data with $100\%$ accuracy. This…

机器学习 · 计算机科学 2020-06-04 Roman Vershynin

Neural networks pose a privacy risk due to their propensity to memorise and leak training data. We show that unique features occurring only once in training data are memorised by discriminative multi-layer perceptrons and convolutional…

机器学习 · 计算机科学 2022-05-23 John Hartley , Sotirios A. Tsaftaris

Understanding the role of (stochastic) gradient descent (SGD) in the training and generalisation of deep neural networks (DNNs) with ReLU activation has been the object study in the recent past. In this paper, we make use of deep gated…

机器学习 · 计算机科学 2020-03-03 Chandrashekar Lakshminarayanan , Amit Vikram Singh

Understanding generalization in overparameterized neural networks hinges on the interplay between the data geometry, neural architecture, and training dynamics. In this paper, we theoretically explore how data geometry controls this…

机器学习 · 统计学 2026-05-08 Tongtong Liang , Alexander Cloninger , Rahul Parhi , Yu-Xiang Wang

Collaborative inference has recently emerged as an attractive framework for applying deep learning to Internet of Things (IoT) applications by splitting a DNN model into several subpart models among resource-constrained IoT devices and the…

密码学与安全 · 计算机科学 2022-11-22 Jihyeon Ryu , Yifeng Zheng , Yansong Gao , Sharif Abuadbba , Junyaup Kim , Dongho Won , Surya Nepal , Hyoungshick Kim , Cong Wang

Overparametrized neural networks trained by gradient descent (GD) can provably overfit any training data. However, the generalization guarantee may not hold for noisy data. From a nonparametric perspective, this paper studies how well…

机器学习 · 统计学 2021-09-28 Tianyang Hu , Wenjia Wang , Cong Lin , Guang Cheng

Neural networks are widely used to approximate unknown functions in control. A common neural network architecture uses a single hidden layer (i.e. a shallow network), in which the input parameters are fixed in advance and only the output…

机器学习 · 计算机科学 2024-10-08 Andrew Lamperski , Siddharth Salapaka

Deep Neural Network (DNN) workloads are quickly moving from datacenters onto edge devices, for latency, privacy, or energy reasons. While datacenter networks can be protected using conventional cybersecurity measures, edge neural networks…

密码学与安全 · 计算机科学 2019-11-28 Mihailo Isakov , Vijay Gadepally , Karen M. Gettings , Michel A. Kinsy

In many numerical simulations stochastic gradient descent (SGD) type optimization methods perform very effectively in the training of deep neural networks (DNNs) but till this day it remains an open problem of research to provide a…

机器学习 · 计算机科学 2023-06-26 Martin Hutzenthaler , Arnulf Jentzen , Katharina Pohl , Adrian Riekert , Luca Scarpa

Machine Unlearning aims to remove specific data from trained models, addressing growing privacy and ethical concerns. We provide a theoretical analysis of a simple and widely used method - gradient ascent - used to reverse the influence of…

机器学习 · 计算机科学 2025-10-17 Odelia Melamed , Gilad Yehudai , Gal Vardi

Injectivity is the defining property of a mapping that ensures no information is lost and any input can be perfectly reconstructed from its output. By performing hard thresholding, the ReLU function naturally interferes with this property,…

机器学习 · 计算机科学 2024-12-02 Daniel Haider , Martin Ehler , Peter Balazs

Federated learning synchronizes models through gradient transmission and aggregation. However, these gradients pose significant privacy risks, as sensitive training data is embedded within them. Existing gradient inversion attacks suffer…

密码学与安全 · 计算机科学 2025-11-18 Jiayang Meng , Tao Huang , Hong Chen , Chen Hou , Guolong Zheng

This survey provides an in-depth and explanatory review of the approximation properties of deep neural networks, with a focus on feed-forward and residual architectures. The primary objective is to examine how effectively neural networks…

机器学习 · 计算机科学 2024-12-18 Owen Davis , Mohammad Motamed

We investigate the training and generalization errors of overparameterized neural networks (NNs) with a wide class of leaky rectified linear unit (ReLU) functions. More specifically, we carefully upper bound both the convergence rate of the…

机器学习 · 计算机科学 2024-02-27 Yinglong Guo , Shaohan Li , Gilad Lerman

We consider the problem of finding a two-layer neural network with sigmoid, rectified linear unit (ReLU), or binary step activation functions that "fits" a training data set as accurately as possible as quantified by the training error; and…

机器学习 · 统计学 2022-04-06 David Gamarnik , Eren C. Kızıldağ , Ilias Zadik

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

Deep neural networks have achieved remarkable success across various applications; however, their vulnerability to backdoor attacks poses severe security risks -- especially in situations where only a limited set of clean samples is…

密码学与安全 · 计算机科学 2025-06-25 Nay Myat Min , Long H. Pham , Jun Sun

The ability of neural networks to provide `best in class' approximation across a wide range of applications is well-documented. Nevertheless, the powerful expressivity of neural networks comes to naught if one is unable to effectively train…

机器学习 · 计算机科学 2020-07-15 Mark Ainsworth , Yeonjong Shin
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