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We study the privacy implications of training recurrent neural networks (RNNs) with sensitive training datasets. Considering membership inference attacks (MIAs), which aim to infer whether or not specific data records have been used in…

Cryptography and Security · Computer Science 2023-01-23 Yunhao Yang , Parham Gohari , Ufuk Topcu

Federated learning claims to enable collaborative model training among multiple clients with data privacy by transmitting gradient updates instead of the actual client data. However, recent studies have shown the client privacy is still at…

Machine Learning · Computer Science 2025-03-04 Maria Drencheva , Ivo Petrov , Maximilian Baader , Dimitar I. Dimitrov , Martin Vechev

Recent theoretical work has demonstrated that deep neural networks have superior performance over shallow networks, but their training is more difficult, e.g., they suffer from the vanishing gradient problem. This problem can be typically…

Machine Learning · Statistics 2021-11-03 Lu Lu , Yanhui Su , George Em Karniadakis

This paper investigates the relationship between the universal approximation property of deep neural networks and topological characteristics of datasets. Our primary contribution is to introduce data topology-dependent upper bounds on the…

Machine Learning · Computer Science 2023-05-29 Sangmin Lee , Jong Chul Ye

Federated Unlearning (FU) has emerged as a critical compliance mechanism for data privacy regulations, requiring unlearned clients to provide verifiable Proof of Federated Unlearning (PoFU) to auditors upon data removal requests. However,…

Cryptography and Security · Computer Science 2025-05-19 Fuyao Zhang , Wenjie Li , Yurong Hao , Xinyu Yan , Yang Cao , Wei Yang Bryan Lim

With high-stakes machine learning applications increasingly moving to untrusted end-user or cloud environments, safeguarding pre-trained model parameters becomes essential for protecting intellectual property and user privacy. Recent…

Cryptography and Security · Computer Science 2025-10-06 Jesse Spielman , David Oswald , Mark Ryan , Jo Van Bulck

In this work, we investigate a particular implicit bias in gradient descent training, which we term "Feature Averaging," and argue that it is one of the principal factors contributing to the non-robustness of deep neural networks. We show…

Machine Learning · Computer Science 2025-03-04 Binghui Li , Zhixuan Pan , Kaifeng Lyu , Jian Li

Reconstruction attacks against federated learning (FL) aim to reconstruct users' samples through users' uploaded gradients. Local differential privacy (LDP) is regarded as an effective defense against various attacks, including sample…

Cryptography and Security · Computer Science 2025-02-13 Zhichao You , Xuewen Dong , Shujun Li , Ximeng Liu , Siqi Ma , Yulong Shen

We study the problem of training deep neural networks with Rectified Linear Unit (ReLU) activation function using gradient descent and stochastic gradient descent. In particular, we study the binary classification problem and show that for…

Machine Learning · Computer Science 2018-12-31 Difan Zou , Yuan Cao , Dongruo Zhou , Quanquan Gu

Privacy-Preserving Neural Networks (PPNN) are advanced to perform inference without breaching user privacy, which can serve as an essential tool for medical diagnosis to simultaneously achieve big data utility and privacy protection. As one…

Cryptography and Security · Computer Science 2024-03-19 Peng Zhang , Ao Duan , Xianglu Zou , Yuhong Liu

Neural network pruning has been an essential technique to reduce the computation and memory requirements for using deep neural networks for resource-constrained devices. Most existing research focuses primarily on balancing the sparsity and…

Cryptography and Security · Computer Science 2022-08-05 Xiaoyong Yuan , Lan Zhang

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

Machine Learning · Statistics 2020-10-19 Rahul Parhi , Robert D. Nowak

We propose ReDense as a simple and low complexity way to improve the performance of trained neural networks. We use a combination of random weights and rectified linear unit (ReLU) activation function to add a ReLU dense (ReDense) layer to…

Machine Learning · Computer Science 2020-10-27 Alireza M. Javid , Sandipan Das , Mikael Skoglund , Saikat Chatterjee

Although powerful graph neural networks (GNNs) have boosted numerous real-world applications, the potential privacy risk is still underexplored. To close this gap, we perform the first comprehensive study of graph reconstruction attack that…

Machine Learning · Computer Science 2023-06-16 Zhanke Zhou , Chenyu Zhou , Xuan Li , Jiangchao Yao , Quanming Yao , Bo Han

Recently, the outstanding performance reached by neural networks in many tasks has led to their deployment in autonomous systems, such as robots and vehicles. However, neural networks are not yet trustworthy, being prone to different types…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Federico Nesti , Niko Salamini , Mauro Marinoni , Giorgio Maria Cicero , Gabriele Serra , Alessandro Biondi , Giorgio Buttazzo

We study the approximation capacity of deep ReLU recurrent neural networks (RNNs) and explore the convergence properties of nonparametric least squares regression using RNNs. We derive upper bounds on the approximation error of RNNs for…

Machine Learning · Statistics 2025-10-07 Yuling Jiao , Yang Wang , Bokai Yan

We analyze the number of queries that a whitebox adversary needs to make to a private learner in order to reconstruct its training data. For $(\epsilon, \delta)$ DP learners with training data drawn from any arbitrary compact metric space,…

Machine Learning · Computer Science 2024-01-15 Prateeti Mukherjee , Satya Lokam

In this paper, we consider regression problems with one-hidden-layer neural networks (1NNs). We distill some properties of activation functions that lead to $\mathit{local~strong~convexity}$ in the neighborhood of the ground-truth…

Machine Learning · Computer Science 2017-06-13 Kai Zhong , Zhao Song , Prateek Jain , Peter L. Bartlett , Inderjit S. Dhillon

Parameter-efficient fine-tuning (PEFT) has emerged as a practical solution for adapting large language models (LLMs) to custom datasets with significantly reduced computational cost. When carrying out PEFT under collaborative learning…

Cryptography and Security · Computer Science 2025-04-30 Jin Xie , Ruishi He , Songze Li , Xiaojun Jia , Shouling Ji

Motivated by the resurgence of neural networks in being able to solve complex learning tasks we undertake a study of high depth networks using ReLU gates which implement the function $x \mapsto \max\{0,x\}$. We try to understand the role of…

Computational Complexity · Computer Science 2017-11-10 Anirbit Mukherjee , Amitabh Basu
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