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We provide computationally efficient, differentially private algorithms for the classical regression settings of Least Squares Fitting, Binary Regression and Linear Regression with unbounded covariates. Prior to our work, privacy…

Cryptography and Security · Computer Science 2022-02-24 Jason Milionis , Alkis Kalavasis , Dimitris Fotakis , Stratis Ioannidis

We consider the setting of publishing data without leaking sensitive information. We do so in the framework of Robust Local Differential Privacy (RLDP). This ensures privacy for all distributions of the data in an uncertainty set. We…

Information Theory · Computer Science 2022-05-11 Jasper Goseling , Milan Lopuhaä-Zwakenberg

Sensitive statistics are often collected across sets of users, with repeated collection of reports done over time. For example, trends in users' private preferences or software usage may be monitored via such reports. We study the…

Machine Learning · Computer Science 2020-07-28 Úlfar Erlingsson , Vitaly Feldman , Ilya Mironov , Ananth Raghunathan , Kunal Talwar , Abhradeep Thakurta

This article introduces differentially private log-location-scale (DP-LLS) regression models, which incorporate differential privacy into LLS regression through the functional mechanism. The proposed models are established by injecting…

Machine Learning · Statistics 2024-04-16 Jiewen Sheng , Xiaolei Fang

We study the relationship between adversarial robustness and differential privacy in high-dimensional algorithmic statistics. We give the first black-box reduction from privacy to robustness which can produce private estimators with optimal…

Data Structures and Algorithms · Computer Science 2024-06-18 Samuel B. Hopkins , Gautam Kamath , Mahbod Majid , Shyam Narayanan

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

Machine Learning · Computer Science 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

Local differential privacy (LDP) is increasingly employed in privacy-preserving machine learning to protect user data before sharing it with an untrusted aggregator. Most LDP methods assume that users possess only a single data record,…

Machine Learning · Computer Science 2025-05-05 Behnoosh Zamanlooy , Mario Diaz , Shahab Asoodeh

The need to analyze sensitive data, such as medical records or financial data, has created a critical research challenge in recent years. In this paper, we adopt the framework of differential privacy, and explore mechanisms for generating…

Cryptography and Security · Computer Science 2024-05-09 Nikolija Bojkovic , Po-Ling Loh

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

Motivated by growing concerns over ensuring privacy on social networks, we develop new algorithms and impossibility results for fitting complex statistical models to network data subject to rigorous privacy guarantees. We consider the…

Statistics Theory · Mathematics 2018-10-05 Christian Borgs , Jennifer Chayes , Adam Smith , Ilias Zadik

In this work, we study high-dimensional mean estimation under user-level differential privacy, and design an $(\varepsilon,\delta)$-differentially private mechanism using as few users as possible. In particular, we provide a nearly optimal…

Data Structures and Algorithms · Computer Science 2022-06-14 Hossein Esfandiari , Vahab Mirrokni , Shyam Narayanan

What is the information leakage of an iterative randomized learning algorithm about its training data, when the internal state of the algorithm is \emph{private}? How much is the contribution of each specific training epoch to the…

Machine Learning · Statistics 2022-09-12 Rishav Chourasia , Jiayuan Ye , Reza Shokri

We consider the problem of model selection in a high-dimensional sparse linear regression model under privacy constraints. We propose a differentially private (DP) best subset selection method with strong statistical utility properties by…

Machine Learning · Statistics 2024-10-30 Saptarshi Roy , Zehua Wang , Ambuj Tewari

We study the fundamental problem of estimating an unknown discrete distribution $p$ over $d$ symbols, given $n$ i.i.d. samples from the distribution. We are interested in minimizing the KL divergence between the true distribution and the…

Machine Learning · Statistics 2025-05-30 Jiayuan Ye , Vitaly Feldman , Kunal Talwar

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

For scalable machine learning on large data sets, subsampling a representative subset is a common approach for efficient model training. This is often achieved through importance sampling, whereby informative data points are sampled more…

Cryptography and Security · Computer Science 2025-03-31 Dominik Fay , Sebastian Mair , Jens Sjölund

Statistics about traffic flow and people's movement gathered from multiple geographical locations in a distributed manner are the driving force powering many applications, such as traffic prediction, demand prediction, and restaurant…

Cryptography and Security · Computer Science 2024-02-20 Tatsuki Koga , Casey Meehan , Kamalika Chaudhuri

We investigate the problem of guessing a discrete random variable $Y$ under a privacy constraint dictated by another correlated discrete random variable $X$, where both guessing efficiency and privacy are assessed in terms of the…

Information Theory · Computer Science 2017-04-13 Shahab Asoodeh , Mario Diaz , Fady Alajaji , Tamás Linder

Local Differential Privacy (LDP) has been widely recognized as a powerful tool for providing a strong theoretical guarantee of data privacy to data contributors against an untrusted data collector. Under a typical LDP scheme, each data…

Cryptography and Security · Computer Science 2025-06-17 Ye Zheng , Shafizur Rahman Seeam , Yidan Hu , Rui Zhang , Yanchao Zhang

In machine learning, classification models need to be trained in order to predict class labels. When the training data contains personal information about individuals, collecting training data becomes difficult due to privacy concerns.…

Machine Learning · Computer Science 2019-05-06 Emre Yilmaz , Mohammad Al-Rubaie , J. Morris Chang
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