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相关论文: Empirical Risk Minimization in Non-interactive Loc…

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Empirical risk minimization (ERM) is ubiquitous in machine learning and underlies most supervised learning methods. While there has been a large body of work on algorithms for various ERM problems, the exact computational complexity of ERM…

计算复杂性 · 计算机科学 2017-04-11 Arturs Backurs , Piotr Indyk , Ludwig Schmidt

We analyze the problem of discrete distribution estimation under $\ell_1$ loss. We provide non-asymptotic upper and lower bounds on the maximum risk of the empirical distribution (the maximum likelihood estimator), and the minimax risk in…

信息论 · 计算机科学 2015-12-31 Yanjun Han , Jiantao Jiao , Tsachy Weissman

We study the acceleration of the Local Polynomial Interpolation-based Gradient Descent method (LPI-GD) recently proposed for the approximate solution of empirical risk minimization problems (ERM). We focus on loss functions that are…

最优化与控制 · 数学 2022-04-19 Ekaterina Trimbach , Edward Duc Hien Nguyen , César A. Uribe

The challenge of producing accurate statistics while respecting the privacy of the individuals in a sample is an important area of research. We study minimax lower bounds for classes of differentially private estimators. In particular, we…

机器学习 · 计算机科学 2024-09-19 Clément Lalanne , Aurélien Garivier , Rémi Gribonval

Many analysis and machine learning tasks require the availability of marginal statistics on multidimensional datasets while providing strong privacy guarantees for the data subjects. Applications for these statistics range from finding…

数据库 · 计算机科学 2017-11-09 Tejas Kulkarni , Graham Cormode , Divesh Srivastava

Reinforcement learning (RL) algorithms can be used to provide personalized services, which rely on users' private and sensitive data. To protect the users' privacy, privacy-preserving RL algorithms are in demand. In this paper, we study RL…

机器学习 · 计算机科学 2021-10-20 Chonghua Liao , Jiafan He , Quanquan Gu

Economics and social science research often require analyzing datasets of sensitive personal information at fine granularity, with models fit to small subsets of the data. Unfortunately, such fine-grained analysis can easily reveal…

机器学习 · 计算机科学 2020-07-13 Daniel Alabi , Audra McMillan , Jayshree Sarathy , Adam Smith , Salil Vadhan

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world scenarios…

密码学与安全 · 计算机科学 2023-10-23 Syomantak Chaudhuri , Konstantin Miagkov , Thomas A. Courtade

Molecular communication (MC) enables information exchange in nanoscale sensor networks operating in biological environments, yet privacy remains largely unaddressed. We integrate local differential privacy (LDP) into diffusion-based MC by…

信息论 · 计算机科学 2026-03-03 Melih Şahin , Ozgur B. Akan

The concept of differential privacy (DP) can quantitatively measure privacy loss by observing the changes in the distribution caused by the inclusion of individuals in the target dataset. The DP, which is generally used as a constraint, has…

密码学与安全 · 计算机科学 2025-07-16 Sehyun Ryu , Jonggyu Jang , Hyun Jong Yang

We propose differentially private algorithms for parameter estimation in both low-dimensional and high-dimensional sparse generalized linear models (GLMs) by constructing private versions of projected gradient descent. We show that the…

机器学习 · 统计学 2020-12-08 T. Tony Cai , Yichen Wang , Linjun Zhang

Real-world deployments routinely face distribution shifts, group imbalances, and adversarial perturbations, under which the traditional Empirical Risk Minimization (ERM) framework can degrade severely. Distributionally Robust Optimization…

机器学习 · 计算机科学 2026-02-19 Difei Xu , Meng Ding , Zebin Ma , Huanyi Xie , Youming Tao , Aicha Slaitane , Di Wang

We study the problem of discrete distribution estimation under utility-optimized local differential privacy (ULDP), which enforces local differential privacy (LDP) on sensitive data while allowing more accurate inference on non-sensitive…

密码学与安全 · 计算机科学 2025-09-30 Sun-Moon Yoon , Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the problem of estimating a discrete distribution in total variation…

统计理论 · 数学 2022-04-21 Julien Chhor , Flore Sentenac

Local differential privacy (LDP) can be adopted to anonymize richer user data attributes that will be input to sophisticated machine learning (ML) tasks. However, today's LDP approaches are largely task-agnostic and often lead to severe…

密码学与安全 · 计算机科学 2022-08-09 Jiangnan Cheng , Ao Tang , Sandeep Chinchali

Our research delves into the balance between maintaining privacy and preserving statistical accuracy when dealing with multivariate data that is subject to \textit{componentwise local differential privacy} (CLDP). With CLDP, each component…

统计理论 · 数学 2025-01-22 Chiara Amorino , Arnaud Gloter

The exponential mechanism is a fundamental tool of Differential Privacy (DP) due to its strong privacy guarantees and flexibility. We study its extension to settings with summaries based on infinite dimensional outputs such as with…

密码学与安全 · 计算机科学 2019-01-31 Jordan Awan , Ana Kenney , Matthew Reimherr , Aleksandra Slavković

Ensuring the privacy of users whose data are used to train Natural Language Processing (NLP) models is necessary to build and maintain customer trust. Differential Privacy (DP) has emerged as the most successful method to protect the…

密码学与安全 · 计算机科学 2021-07-19 Ricardo Silva Carvalho , Theodore Vasiloudis , Oluwaseyi Feyisetan

We consider the minimax estimation problem of a discrete distribution with support size $k$ under privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the distribution of the raw…

机器学习 · 计算机科学 2017-02-03 Min Ye , Alexander Barg

It is of soaring demand to develop statistical analysis tools that are robust against contamination as well as preserving individual data owners' privacy. In spite of the fact that both topics host a rich body of literature, to the best of…

统计理论 · 数学 2022-09-01 Mengchu Li , Thomas B. Berrett , Yi Yu