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This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

系统与控制 · 电气工程与系统科学 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

计算机视觉与模式识别 · 计算机科学 2019-04-16 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

计算机视觉与模式识别 · 计算机科学 2019-04-17 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

A central issue in machine learning is how to train models on sensitive user data. Industry has widely adopted a simple algorithm: Stochastic Gradient Descent with noise (a.k.a. Stochastic Gradient Langevin Dynamics). However, foundational…

机器学习 · 计算机科学 2023-03-01 Jason M. Altschuler , Kunal Talwar

Algorithms such as Differentially Private SGD enable training machine learning models with formal privacy guarantees. However, there is a discrepancy between the protection that such algorithms guarantee in theory and the protection they…

Communication cost and privacy are two major considerations in federated learning (FL). For communication cost, gradient compression by sketching the clients' transmitted model updates is often used for reducing per-round communication. For…

机器学习 · 计算机科学 2025-09-11 Qiaobo Li , Zhijie Chen , Arindam Banerjee

Differentially private stochastic gradient descent (DP-SGD) is the most widely used method for training machine learning models with provable privacy guarantees. A key challenge in DP-SGD is setting the per-sample gradient clipping…

机器学习 · 计算机科学 2025-10-29 Atefeh Gilani , Naima Tasnim , Lalitha Sankar , Oliver Kosut

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

This paper considers the scenario that multiple data owners wish to apply a machine learning method over the combined dataset of all owners to obtain the best possible learning output but do not want to share the local datasets owing to…

机器学习 · 计算机科学 2019-07-09 Le Trieu Phong , Tran Thi Phuong

The Noisy-SGD algorithm is widely used for privately training machine learning models. Traditional privacy analyses of this algorithm assume that the internal state is publicly revealed, resulting in privacy loss bounds that increase…

机器学习 · 计算机科学 2023-05-18 Shahab Asoodeh , Mario Diaz

Gaussian processes (GPs) are non-parametric Bayesian models that are widely used for diverse prediction tasks. Previous work in adding strong privacy protection to GPs via differential privacy (DP) has been limited to protecting only the…

机器学习 · 计算机科学 2021-11-12 Antti Honkela , Laila Melkas

We consider the problem of Bayesian learning on sensitive datasets and present two simple but somewhat surprising results that connect Bayesian learning to "differential privacy:, a cryptographic approach to protect individual-level privacy…

机器学习 · 统计学 2015-04-14 Yu-Xiang Wang , Stephen E. Fienberg , Alex Smola

Wasserstein gradient flows are continuous time dynamics that define curves of steepest descent to minimize an objective function over the space of probability measures (i.e., the Wasserstein space). This objective is typically a divergence…

最优化与控制 · 数学 2021-02-23 Adil Salim , Anna Korba , Giulia Luise

When we enforce differential privacy in machine learning, the utility-privacy trade-off is different w.r.t. each group. Gradient clipping and random noise addition disproportionately affect underrepresented and complex classes and…

机器学习 · 计算机科学 2020-09-29 Depeng Xu , Wei Du , Xintao Wu

Introducing noise in the training of machine learning systems is a powerful way to protect individual privacy via differential privacy guarantees, but comes at a cost to utility. This work looks at whether the inherent randomness of…

机器学习 · 计算机科学 2022-03-01 Stephanie L. Hyland , Shruti Tople

This paper investigates the problem of forecasting multivariate aggregated human mobility while preserving the privacy of the individuals concerned. Differential privacy, a state-of-the-art formal notion, has been used as the privacy…

机器学习 · 计算机科学 2022-06-06 Héber H. Arcolezi , Jean-François Couchot , Denis Renaud , Bechara Al Bouna , Xiaokui Xiao

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

机器学习 · 统计学 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

In this paper, we consider efficient differentially private empirical risk minimization from the viewpoint of optimization algorithms. For strongly convex and smooth objectives, we prove that gradient descent with output perturbation not…

机器学习 · 计算机科学 2017-05-25 Jiaqi Zhang , Kai Zheng , Wenlong Mou , Liwei Wang

Decentralized stochastic optimization is the basic building block of modern collaborative machine learning, distributed estimation and control, and large-scale sensing. Since involved data usually contain sensitive information like user…

机器学习 · 计算机科学 2022-05-10 Yongqiang Wang , H. Vincent Poor

Differentially private stochastic gradient descent (DP-SGD) is broadly considered to be the gold standard for training and fine-tuning neural networks under differential privacy (DP). With the increasing availability of high-quality…