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In this work, we introduce a novel framework for privately optimizing objectives that rely on Wasserstein distances between data-dependent empirical measures. Our main theoretical contribution is, based on an explicit formulation of the…

Machine Learning · Computer Science 2025-05-22 David Rodríguez-Vítores , Clément Lalanne , Jean-Michel Loubes

We present differentially private (DP) algorithms for bilevel optimization, a problem class that received significant attention lately in various machine learning applications. These are the first algorithms for such problems under standard…

Machine Learning · Computer Science 2026-01-15 Guy Kornowski

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…

Machine Learning · Computer Science 2025-01-22 David Zagardo

Deep learning frameworks leverage GPUs to perform massively-parallel computations over batches of many training examples efficiently. However, for certain tasks, one may be interested in performing per-example computations, for instance…

Machine Learning · Computer Science 2020-11-17 Gaspar Rochette , Andre Manoel , Eric W. Tramel

Differentially-Private SGD (DP-SGD) and its adaptive variant DP-Adam are powerful techniques to protect user privacy when using sensitive data to train neural networks. During training, converting model weights and activations into…

Machine Learning · Computer Science 2026-04-17 Yubo Gao , Renbo Tu , Gennady Pekhimenko , Nandita Vijaykumar

Differentially private training algorithms like DP-SGD protect sensitive training data by ensuring that trained models do not reveal private information. An alternative approach, which this paper studies, is to use a sensitive dataset to…

Machine Learning · Computer Science 2024-01-12 Alexey Kurakin , Natalia Ponomareva , Umar Syed , Liam MacDermed , Andreas Terzis

Differentially Private Stochastic Gradient Descent (DP-SGD) is widely used to protect training data in machine learning. Its privacy guarantee is commonly analyzed through a security game in which an adversary infers whether a target record…

Cryptography and Security · Computer Science 2026-05-18 Wenhao Wang , Shujie Cui , Hui Cui , Xingliang Yuan

Differentially private (DP) contrastive learning aims to learn general-purpose representations from sensitive data, alleviating the privacy leakage concerns of organizations deploying or sharing embedding models trained on private user…

Cryptography and Security · Computer Science 2026-04-30 Kecen Li , Chen Gong , Zinan Lin , Tianhao Wang , Xiaokui Xiao

We study convex optimization problems under differential privacy (DP). With heavy-tailed gradients, existing works achieve suboptimal rates. The main obstacle is that existing gradient estimators have suboptimal tail properties, resulting…

Machine Learning · Computer Science 2024-08-20 Puning Zhao , Jiafei Wu , Zhe Liu , Chong Wang , Rongfei Fan , Qingming Li

Differentially private SGD (DPSGD) enables privacy-preserving training of language models, but often reduces utility, diversity, and linguistic quality. We introduce DPRefine, a three-phase method that initializes a model using data…

Machine Learning · Computer Science 2024-10-24 Ivoline C. Ngong , Joseph P. Near , Niloofar Mireshghallah

Machine learning (ML) models have been shown to leak private information from their training datasets. Differential Privacy (DP), typically implemented through the differential private stochastic gradient descent algorithm (DP-SGD), has…

Machine Learning · Computer Science 2025-02-17 Dariush Wahdany , Matthew Jagielski , Adam Dziedzic , Franziska Boenisch

Coordinate Descent (CD) methods have gained significant attention in machine learning due to their effectiveness in solving high-dimensional problems and their ability to decompose complex optimization tasks. However, classical CD methods…

Optimization and Control · Mathematics 2024-12-24 Artavazd Maranjyan , Abdurakhmon Sadiev , Peter Richtárik

Gradient-based iterative optimization methods are the workhorse of modern machine learning. They crucially rely on careful tuning of parameters like learning rate and momentum. However, one typically sets them using heuristic approaches…

Machine Learning · Computer Science 2025-12-05 Dravyansh Sharma

We present the first theoretical convergence analysis of machine learning training under fully homomorphic encryption (FHE), combined with a differentially private (DP) training algorithm tailored to encrypted computation. Our approach…

Machine Learning · Computer Science 2026-05-28 Yvonne Zhou , Mingyu Liang , Ivan Brugere , Danial Dervovic , Yue Guo , Antigoni Polychroniadou , Min Wu , Dana Dachman-Soled

Differential privacy (DP) has become a prevalent privacy model in a wide range of machine learning tasks, especially after the debut of DP-SGD. However, DP-SGD, which directly perturbs gradients in the training iterations, fails to mitigate…

Machine Learning · Computer Science 2025-04-09 Jiawei Duan , Haibo Hu , Qingqing Ye , Xinyue Sun

Differential privacy (DP) in deep learning is a critical concern as it ensures the confidentiality of training data while maintaining model utility. Existing DP training algorithms provide privacy guarantees by clipping and then injecting…

Machine Learning · Computer Science 2025-04-02 Mingqian Feng , Zeliang Zhang , Jinyang Jiang , Yijie Peng , Chenliang Xu

Modern deep learning techniques focus on extracting intricate information from data to achieve accurate predictions. However, the training datasets may be crowdsourced and include sensitive information, such as personal contact details,…

Machine Learning · Statistics 2026-02-10 Zhongjie Shi , Puyu Wang , Chenyang Zhang , Yuan Cao

Differentially private stochastic gradient descent (DP-SGD) adds noise to gradients in back-propagation, safeguarding training data from privacy leakage, particularly membership inference. It fails to cover (inference-time) threats like…

Cryptography and Security · Computer Science 2023-09-20 Minxin Du , Xiang Yue , Sherman S. M. Chow , Tianhao Wang , Chenyu Huang , Huan Sun

We consider three different variants of differential privacy (DP), namely approximate DP, R\'enyi DP (RDP), and hypothesis test DP. In the first part, we develop a machinery for optimally relating approximate DP to RDP based on the joint…

Information Theory · Computer Science 2021-01-26 Shahab Asoodeh , Jiachun Liao , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

The injection of heavy-tailed noise into the iterates of stochastic gradient descent (SGD) has garnered growing interest in recent years due to its theoretical and empirical benefits for optimization and generalization. However, its…

Machine Learning · Statistics 2025-05-13 Umut Şimşekli , Mert Gürbüzbalaban , Sinan Yıldırım , Lingjiong Zhu
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