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In this paper, we are concerned with differentially private {stochastic gradient descent (SGD)} algorithms in the setting of stochastic convex optimization (SCO). Most of the existing work requires the loss to be Lipschitz continuous and…

Machine Learning · Statistics 2022-03-23 Puyu Wang , Yunwen Lei , Yiming Ying , Hai Zhang

Machine learning (ML) models trained by differentially private stochastic gradient descent (DP-SGD) have much lower utility than the non-private ones. To mitigate this degradation, we propose a DP Laplacian smoothing SGD (DP-LSSGD) to train…

Machine Learning · Computer Science 2019-12-10 Bao Wang , Quanquan Gu , March Boedihardjo , Farzin Barekat , Stanley J. Osher

Differentially private stochastic gradient descent (DP-SGD) enables private deep learning through per-example clipping and calibrated Gaussian noise, but its high-variance updates can reduce utility on challenging datasets. We propose…

Machine Learning · Computer Science 2026-05-21 Mohammad Partohaghighi , Roummel Marcia

A central requirement for the acceptance of machine learning methods for human-centric tasks is that they should be fair, in the sense that they should work comparably well for individuals from different societal groups. A second, equally…

Machine Learning · Computer Science 2026-05-28 Max Cairney-Leeming , Amartya Sanyal , Christoph H. Lampert

Machine learning models can leak information about the data used to train them. To mitigate this issue, Differentially Private (DP) variants of optimization algorithms like Stochastic Gradient Descent (DP-SGD) have been designed to…

Machine Learning · Computer Science 2022-10-24 Paul Mangold , Aurélien Bellet , Joseph Salmon , Marc Tommasi

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

Machine Learning · Computer Science 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

We study Stochastic Gradient Descent with AdaGrad stepsizes: a popular adaptive (self-tuning) method for first-order stochastic optimization. Despite being well studied, existing analyses of this method suffer from various shortcomings:…

Machine Learning · Computer Science 2023-06-13 Amit Attia , Tomer Koren

Stochastic gradient descent (SGD) is a popular algorithm for optimization problems arising in high-dimensional inference tasks. Here one produces an estimator of an unknown parameter from independent samples of data by iteratively…

Machine Learning · Statistics 2023-06-23 Gerard Ben Arous , Reza Gheissari , Aukosh Jagannath

User-level differentially private stochastic convex optimization (DP-SCO) has garnered significant attention due to the paramount importance of safeguarding user privacy in modern large-scale machine learning applications. Current methods,…

Machine Learning · Computer Science 2025-02-14 Badih Ghazi , Ravi Kumar , Daogao Liu , Pasin Manurangsi

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…

Machine Learning · Computer Science 2022-06-17 Soham De , Leonard Berrada , Jamie Hayes , Samuel L. Smith , Borja Balle

We present a novel method for accurately auditing the differential privacy (DP) guarantees of DP mechanisms. In particular, our solution is applicable to auditing DP guarantees of machine learning (ML) models. Previous auditing methods…

Machine Learning · Computer Science 2026-01-14 Antti Koskela , Jafar Mohammadi

Differential Privacy (DP) provides a formal framework for training machine learning models with individual example level privacy. In the field of deep learning, Differentially Private Stochastic Gradient Descent (DP-SGD) has emerged as a…

Machine Learning · Computer Science 2022-05-24 Harsh Mehta , Abhradeep Thakurta , Alexey Kurakin , Ashok Cutkosky

Stochastic gradient descent (SGD) is the main approach for training deep networks: it moves towards the optimum of the cost function by iteratively updating the parameters of a model in the direction of the gradient of the loss evaluated on…

Machine Learning · Computer Science 2021-03-30 Loris Nanni , Gianluca Maguolo , Alessandra Lumini

We study the fundamental problem of the construction of optimal randomization in Differential Privacy. Depending on the clipping strategy or additional properties of the processing function, the corresponding sensitivity set theoretically…

Cryptography and Security · Computer Science 2023-09-29 Hanshen Xiao , Jun Wan , Srinivas Devadas

While modern machine learning models rely on increasingly large training datasets, data is often limited in privacy-sensitive domains. Generative models trained with differential privacy (DP) on sensitive data can sidestep this challenge,…

Machine Learning · Statistics 2024-01-02 Tim Dockhorn , Tianshi Cao , Arash Vahdat , Karsten Kreis

The Differentially Private Stochastic Gradient Descent (DP-SGD) algorithm supports the training of machine learning (ML) models with formal Differential Privacy (DP) guarantees. Traditionally, DP-SGD processes training data in batches using…

Cryptography and Security · Computer Science 2025-12-15 Meenatchi Sundaram Muthu Selva Annamalai , Borja Balle , Jamie Hayes , Emiliano De Cristofaro

This paper studies the problem of differentially private empirical risk minimization (DP-ERM) for binary linear classification. We obtain an efficient $(\varepsilon,\delta)$-DP algorithm with an empirical zero-one risk bound of…

Machine Learning · Computer Science 2025-06-02 Erchi Wang , Yuqing Zhu , Yu-Xiang Wang

We consider the problem of minimizing a convex risk with stochastic subgradients guaranteeing $\epsilon$-locally differentially private ($\epsilon$-LDP). While it has been shown that stochastic optimization is possible with $\epsilon$-LDP…

Machine Learning · Computer Science 2019-11-22 Kwang-Sung Jun , Francesco Orabona

In this paper, we propose a differentially private decentralized learning method (termed PrivSGP-VR) which employs stochastic gradient push with variance reduction and guarantees $(\epsilon, \delta)$-differential privacy (DP) for each node.…

Machine Learning · Computer Science 2024-05-07 Zehan Zhu , Yan Huang , Xin Wang , Jinming Xu

Unsupervised pre-training is a common step in developing computer vision models and large language models. In this setting, the absence of labels requires the use of similarity-based loss functions, such as contrastive loss, that favor…

Machine Learning · Computer Science 2025-02-21 Weiwei Kong , Andrés Muñoz Medina , Mónica Ribero
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