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This paper considers stochastic convex optimization problems with two sets of constraints: (a) deterministic constraints on the domain of the optimization variable, which are difficult to project onto; and (b) deterministic or stochastic…

Optimization and Control · Mathematics 2022-05-25 Zeeshan Akhtar , Ketan Rajawat

The exponential growth of data collection necessitates robust privacy protections that preserve data utility. We address information disclosure against adversaries with bounded prior knowledge, modeled by an entropy constraint $H(X) \geq…

Cryptography and Security · Computer Science 2026-03-27 Genqiang Wu , Xiaoying Zhang , Yu Qi , Hao Wang , Jikui Wang , Yeping He

Federated learning (FL) has been recognized as a rapidly growing research area, where the model is trained over massively distributed clients under the orchestration of a parameter server (PS) without sharing clients' data. This paper…

Machine Learning · Computer Science 2024-04-04 Yiwei Li , Chien-Wei Huang , Shuai Wang , Chong-Yung Chi , Tony Q. S. Quek

Differential privacy (DP) is a prominent method for protecting information about individuals during data analysis. Training neural networks with differentially private stochastic gradient descent (DPSGD) influences the model's learning…

Machine Learning · Computer Science 2025-10-10 Lea Demelius , Dominik Kowald , Simone Kopeinik , Roman Kern , Andreas Trügler

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

As reinforcement learning techniques are increasingly applied to real-world decision problems, attention has turned to how these algorithms use potentially sensitive information. We consider the task of training a policy that maximizes…

Machine Learning · Computer Science 2024-04-17 Chris Cundy , Rishi Desai , Stefano Ermon

Differential privacy (DP) is a rigorous notion of data privacy, used for private statistics. The canonical algorithm for differentially private mean estimation is to first clip the samples to a bounded range and then add noise to their…

Statistics Theory · Mathematics 2024-10-10 Gautam Kamath , Argyris Mouzakis , Matthew Regehr , Vikrant Singhal , Thomas Steinke , Jonathan Ullman

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

Differentially private empirical risk minimization (DP-ERM) is a fundamental problem in private optimization. While the theory of DP-ERM is well-studied, as large-scale models become prevalent, traditional DP-ERM methods face new…

Machine Learning · Computer Science 2024-06-05 Yin Tat Lee , Daogao Liu , Zhou Lu

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

Classifiers deployed in high-stakes real-world applications must output calibrated confidence scores, i.e. their predicted probabilities should reflect empirical frequencies. Recalibration algorithms can greatly improve a model's…

Machine Learning · Computer Science 2020-08-25 Rachel Luo , Shengjia Zhao , Jiaming Song , Jonathan Kuck , Stefano Ermon , Silvio Savarese

Differentially Private algorithms often need to select the best amongst many candidate options. Classical works on this selection problem require that the candidates' goodness, measured as a real-valued score function, does not change by…

Data Structures and Algorithms · Computer Science 2018-11-21 Jingcheng Liu , Kunal Talwar

We consider machine learning, particularly regression, using locally-differentially private datasets. The Wasserstein distance is used to define an ambiguity set centered at the empirical distribution of the dataset corrupted by local…

Machine Learning · Computer Science 2020-06-25 Farhad Farokhi

Differential privacy is a rigorous, worst-case notion of privacy-preserving computation. Informally, a probabilistic program is differentially private if the participation of a single individual in the input database has a limited effect on…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Marco Gaboardi , Emilio Jesús Gallego Arias , Justin Hsu , César Kunz , Pierre-Yves Strub

We revisit the input perturbations framework for differential privacy where noise is added to the input $A\in \mathcal{S}$ and the result is then projected back to the space of admissible datasets $\mathcal{S}$. Through this framework, we…

Machine Learning · Computer Science 2024-08-09 Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Vahab Mirrokni , Peilin Zhong

Privacy is a growing concern in modern deep-learning systems and applications. Differentially private (DP) training prevents the leakage of sensitive information in the collected training data from the trained machine learning models. DP…

Machine Learning · Computer Science 2024-08-28 Xinwei Zhang , Zhiqi Bu , Mingyi Hong , Meisam Razaviyayn

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…

Machine Learning · Computer Science 2017-05-25 Jiaqi Zhang , Kai Zheng , Wenlong Mou , Liwei Wang

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

Personalized federated learning is extensively utilized in scenarios characterized by data heterogeneity, facilitating more efficient and automated local training on data-owning terminals. This includes the automated selection of…

Machine Learning · Computer Science 2025-04-29 Chuanyin Wang , Yifei Zhang , Neng Gao , Qiang Luo

Training reliable deep learning models which avoid making overconfident but incorrect predictions is a longstanding challenge. This challenge is further exacerbated when learning has to be differentially private: protection provided to…

Machine Learning · Computer Science 2023-05-31 Stephan Rabanser , Anvith Thudi , Abhradeep Thakurta , Krishnamurthy Dvijotham , Nicolas Papernot