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Differential privacy (DP) is becoming increasingly important for deployed machine learning applications because it provides strong guarantees for protecting the privacy of individuals whose data is used to train models. However, DP…

Differentially Private Stochastic Gradient Descent (DP-SGD) is a widely adopted technique for privacy-preserving deep learning. A critical challenge in DP-SGD is selecting the optimal clipping threshold C, which involves balancing the…

Machine Learning · Computer Science 2025-04-02 Chengkun Wei , Weixian Li , Chen Gong , Wenzhi Chen

Data privacy is important in the AI era, and differential privacy (DP) is one of the golden solutions. However, DP is typically applicable only if data have a bounded underlying distribution. We address this limitation by leveraging…

Cryptography and Security · Computer Science 2026-02-27 Zilong Cao , Xuan Bi , Hai Zhang

Federated learning aims to protect data privacy by collaboratively learning a model without sharing private data among users. However, an adversary may still be able to infer the private training data by attacking the released model.…

Machine Learning · Computer Science 2021-09-13 Zhicong Liang , Bao Wang , Quanquan Gu , Stanley Osher , Yuan Yao

We study Gaussian mechanism in the shuffle model of differential privacy (DP). Particularly, we characterize the mechanism's R\'enyi differential privacy (RDP), showing that it is of the form: $$ \epsilon(\lambda) \leq…

Cryptography and Security · Computer Science 2023-07-05 Seng Pei Liew , Tsubasa Takahashi

Differential privacy (DP) is a widely used approach for mitigating privacy risks when training machine learning models on sensitive data. DP mechanisms add noise during training to limit the risk of information leakage. The scale of the…

Machine Learning · Computer Science 2024-11-11 Bogdan Kulynych , Juan Felipe Gomez , Georgios Kaissis , Flavio du Pin Calmon , Carmela Troncoso

The Differential Privacy (DP) literature often centers on meeting privacy constraints by introducing noise to the query, typically using a pre-specified parametric distribution model with one or two degrees of freedom. However, this…

Cryptography and Security · Computer Science 2024-09-30 Sachin Kadam , Anna Scaglione , Nikhil Ravi , Sean Peisert , Brent Lunghino , Aram Shumavon

Differential privacy (DP) is a gold-standard concept of measuring and guaranteeing privacy in data analysis. It is well-known that the cost of adding DP to deep learning model is its accuracy. However, it remains unclear how it affects…

Machine Learning · Computer Science 2021-08-26 Nurislam Tursynbek , Aleksandr Petiushko , Ivan Oseledets

Differentially private stochastic gradient descent (DP-SGD) is the standard algorithm for training machine learning models under differential privacy (DP). The most common DP-SGD privacy accountants rely on Poisson subsampling to ensure the…

Machine Learning · Computer Science 2026-01-14 Sebastian Rodriguez Beltran , Marlon Tobaben , Joonas Jälkö , Niki Loppi , Antti Honkela

We introduce a novel differentially private algorithm for online federated learning that employs temporally correlated noise to enhance utility while ensuring privacy of continuously released models. To address challenges posed by DP noise…

Machine Learning · Computer Science 2025-01-10 Jiaojiao Zhang , Linglingzhi Zhu , Mikael Johansson

Posterior sampling, i.e., exponential mechanism to sample from the posterior distribution, provides $\varepsilon$-pure differential privacy (DP) guarantees and does not suffer from potentially unbounded privacy breach introduced by…

Machine Learning · Computer Science 2024-05-02 Yingyu Lin , Yi-An Ma , Yu-Xiang Wang , Rachel Redberg , Zhiqi Bu

Muon has recently shown promising results in LLM training. In this work, we study how to further improve Muon. We argue that Muon's orthogonalized update rule suppresses the emergence of heavy-tailed weight spectra and over-emphasizes the…

Machine Learning · Computer Science 2026-05-25 Tianyu Pang , Yujie Fang , Zihang Liu , Shenyang Deng , Lei Hsiung , Shuhua Yu , Yaoqing Yang

We characterize the minimum noise amplitude and power for noise-adding mechanisms in $(\epsilon, \delta)$-differential privacy for single real-valued query function. We derive new lower bounds using the duality of linear programming, and…

Cryptography and Security · Computer Science 2019-02-06 Quan Geng , Wei Ding , Ruiqi Guo , Sanjiv Kumar

We introduce new differentially private (DP) mechanisms for gradient-based machine learning (ML) with multiple passes (epochs) over a dataset, substantially improving the achievable privacy-utility-computation tradeoffs. We formalize the…

Machine Learning · Computer Science 2023-06-12 Christopher A. Choquette-Choo , H. Brendan McMahan , Keith Rush , Abhradeep Thakurta

In privacy-preserving machine learning, differentially private stochastic gradient descent (DP-SGD) performs worse than SGD due to per-sample gradient clipping and noise addition. A recent focus in private learning research is improving the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Xinyu Tang , Ashwinee Panda , Vikash Sehwag , Prateek Mittal

In this paper, we revisit the problem of using in-distribution public data to improve the privacy/utility trade-offs for differentially private (DP) model training. (Here, public data refers to auxiliary data sets that have no privacy…

Differentially private (DP) machine learning algorithms incur many sources of randomness, such as random initialization, random batch subsampling, and shuffling. However, such randomness is difficult to take into account when proving…

Machine Learning · Statistics 2023-11-02 Chendi Wang , Buxin Su , Jiayuan Ye , Reza Shokri , Weijie J. Su

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

In this paper, we study the differentially private empirical risk minimization problem where the parameter is constrained to a Riemannian manifold. We introduce a framework of differentially private Riemannian optimization by adding noise…

Optimization and Control · Mathematics 2022-05-20 Andi Han , Bamdev Mishra , Pratik Jawanpuria , Junbin Gao

Sequential change detection is a fundamental problem in statistics and signal processing, with the CUSUM procedure widely used to achieve minimax detection delay under a prescribed false-alarm rate when pre- and post-change distributions…

Statistics Theory · Mathematics 2026-01-16 Liyan Xie , Ruizhi Zhang