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Differentially Private Stochastic Gradient Descent (DP-SGD) has been widely used for solving optimization problems with privacy guarantees in machine learning and statistics. Despite this, a systematic non-asymptotic convergence analysis…

统计方法学 · 统计学 2025-07-10 Enze Shi , Jinhan Xie , Bei Jiang , Linglong Kong , Xuming He

Differentially private gradient descent (DP-GD) is a popular algorithm to train deep learning models with provable guarantees on the privacy of the training data. In the last decade, the problem of understanding its performance cost with…

机器学习 · 统计学 2025-05-29 Simone Bombari , Marco Mondelli

In this paper, we aim to develop a scalable algorithm to preserve differential privacy (DP) in adversarial learning for deep neural networks (DNNs), with certified robustness to adversarial examples. By leveraging the sequential composition…

密码学与安全 · 计算机科学 2020-09-16 NhatHai Phan , My T. Thai , Han Hu , Ruoming Jin , Tong Sun , Dejing Dou

Deep learning has achieved remarkable success across a wide range of tasks, but its models often suffer from instability and vulnerability: small changes to the input may drastically affect predictions, while optimization can be hindered by…

机器学习 · 计算机科学 2025-10-30 Blaise Delattre

Differential privacy (DP) is the de facto standard for training machine learning (ML) models, including neural networks, while ensuring the privacy of individual examples in the training set. Despite a rich literature on how to train ML…

机器学习 · 计算机科学 2022-02-10 Alexey Kurakin , Shuang Song , Steve Chien , Roxana Geambasu , Andreas Terzis , Abhradeep Thakurta

Differential Privacy (DP) provides a formal privacy guarantee preventing adversaries with access to a machine learning model from extracting information about individual training points. Differentially Private Stochastic Gradient Descent…

机器学习 · 计算机科学 2022-06-17 Soham De , Leonard Berrada , Jamie Hayes , Samuel L. Smith , Borja Balle

Training convolutional neural networks (CNNs) with a strict 1-Lipschitz constraint under the $l_{2}$ norm is useful for adversarial robustness, interpretable gradients and stable training. 1-Lipschitz CNNs are usually designed by enforcing…

机器学习 · 计算机科学 2022-11-17 Sahil Singla , Soheil Feizi

Certified robustness is a desirable property for deep neural networks in safety-critical applications, and popular training algorithms can certify robustness of a neural network by computing a global bound on its Lipschitz constant.…

机器学习 · 计算机科学 2021-11-03 Yujia Huang , Huan Zhang , Yuanyuan Shi , J Zico Kolter , Anima Anandkumar

Differentially Private-SGD (DP-SGD) of Abadi et al. (2016) and its variations are the only known algorithms for private training of large scale neural networks. This algorithm requires computation of per-sample gradients norms which is…

机器学习 · 计算机科学 2021-02-08 Zhiqi Bu , Sivakanth Gopi , Janardhan Kulkarni , Yin Tat Lee , Judy Hanwen Shen , Uthaipon Tantipongpipat

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

Effective hyper-parameter tuning is essential to guarantee the performance that neural networks have come to be known for. In this work, a principled approach to choosing the learning rate is proposed for shallow feedforward neural…

机器学习 · 计算机科学 2020-10-01 Thulasi Tholeti , Sheetal Kalyani

Deep learning models are often trained on datasets that contain sensitive information such as individuals' shopping transactions, personal contacts, and medical records. An increasingly important line of work therefore has sought to train…

机器学习 · 计算机科学 2020-07-23 Zhiqi Bu , Jinshuo Dong , Qi Long , Weijie J. Su

Robustness of deep neural networks against adversarial perturbations is a pressing concern motivated by recent findings showing the pervasive nature of such vulnerabilities. One method of characterizing the robustness of a neural network…

机器学习 · 统计学 2021-03-15 Hisham Husain , Borja Balle

The global Lipschitz constant of a neural network is related to robustness and generalization, yet unlike in many classical models, it is not plainly legible from the parameters. This has motivated sophisticated verification algorithms,…

机器学习 · 计算机科学 2026-05-11 Simon Kuang , Yuezhu Xu , S. Sivaranjani , Xinfan Lin

Differential privacy (DP) is crucial for safeguarding sensitive client information in federated learning (FL), yet traditional DP-FL methods rely predominantly on fixed gradient clipping thresholds. Such static clipping neglects significant…

密码学与安全 · 计算机科学 2026-03-26 Hao Zhou , Siqi Cai , Hua Dai , Geng Yang , Jing Luo , Hui Cai

Graph Neural Networks (GNNs) have demonstrated superior performance in learning node representations for various graph inference tasks. However, learning over graph data can raise privacy concerns when nodes represent people or…

机器学习 · 计算机科学 2021-07-08 Sina Sajadmanesh , Daniel Gatica-Perez

Imagine training a machine learning model with Differentially Private Stochastic Gradient Descent (DP-SGD), only to discover post-training that the noise level was either too high, crippling your model's utility, or too low, compromising…

机器学习 · 计算机科学 2025-01-22 David Zagardo

The interplay between optimization and privacy has become a central theme in privacy-preserving machine learning. Noisy stochastic gradient descent (SGD) has emerged as a cornerstone algorithm, particularly in large-scale settings. These…

机器学习 · 计算机科学 2025-10-21 Shurong Lin , Eric D. Kolaczyk , Adam Smith , Elliot Paquette

Verifying correctness of deep neural networks (DNNs) is challenging. We study a generic reachability problem for feed-forward DNNs which, for a given set of inputs to the network and a Lipschitz-continuous function over its outputs,…

机器学习 · 计算机科学 2018-05-08 Wenjie Ruan , Xiaowei Huang , Marta Kwiatkowska

Deep neural networks with their large number of parameters are highly flexible learning systems. The high flexibility in such networks brings with some serious problems such as overfitting, and regularization is used to address this…

机器学习 · 统计学 2017-12-20 Beyza Ermis , Ali Taylan Cemgil