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Differentially-private (DP) mechanisms can be embedded into the design of a machine learning algorithm to protect the resulting model against privacy leakage. However, this often comes with a significant loss of accuracy due to the noise…

Machine Learning · Computer Science 2024-11-13 Timothée Ly , Julien Ferry , Marie-José Huguet , Sébastien Gambs , Ulrich Aivodji

Gini index is a widely used measure of economic inequality. This article develops a general theory for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width. Fixed sample size…

Methodology · Statistics 2017-09-21 Bhargab Chattopadhyay , Shyamal Krishna De

We study private prediction where differential privacy is achieved by adding noise to the outputs of a non-private model. Existing methods rely on noise proportional to the global sensitivity of the model, often resulting in sub-optimal…

To simultaneously overcome the limitation of the Gini index in that it is less sensitive to inequality at the tails of income distribution and the limitation of the inter-decile ratios that ignore inequality in the middle of income…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot , Kanyarat Holasut

Differential privacy has become a popular privacy-preserving method in data analysis, query processing, and machine learning, which adds noise to the query result to avoid leaking privacy. Sensitivity, or the maximum impact of deleting or…

Databases · Computer Science 2023-04-20 Meifan Zhang , Xin Liu , Lihua Yin

Local differential privacy is a differential privacy paradigm in which individuals first apply a privacy mechanism to their data (often by adding noise) before transmitting the result to a curator. The noise for privacy results in…

Methodology · Statistics 2023-10-17 Yuki Ohnishi , Jordan Awan

The Gini index is a function that attempts to measure the amount of inequality in the distribution of a finite resource throughout a population. It is commonly used in economics as a measure of inequality of income or wealth. We define a…

Representation Theory · Mathematics 2023-05-23 Grant Kopitzke

In this paper, we propose two new flexible Gini indices (extended lower and upper) defined via differences between the $i$-th observation, the smallest order statistic, and the largest order statistic, for any $1 \leqslant i \leqslant m$.…

Methodology · Statistics 2025-06-03 Roberto Vila , Helton Saulo

We develop formal privacy mechanisms for releasing statistics from data with many outlying values, such as income data. These mechanisms ensure that a per-record differential privacy guarantee degrades slowly in the protected records'…

Cryptography and Security · Computer Science 2025-05-05 Brian Finley , Anthony M Caruso , Justin C Doty , Ashwin Machanavajjhala , Mikaela R Meyer , David Pujol , William Sexton , Zachary Terner

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

Statistics Theory · Mathematics 2019-06-10 Mark Bun , Thomas Steinke

With the growing volume of data in society, the need for privacy protection in data analysis also rises. In particular, private selection tasks, wherein the most important information is retrieved under differential privacy are emphasized…

Data Structures and Algorithms · Computer Science 2024-10-15 Akito Yamamoto , Tetsuo Shibuya

The sensitivity metric in differential privacy, which is informally defined as the largest marginal change in output between neighboring databases, is of substantial significance in determining the accuracy of private data analyses.…

Data Structures and Algorithms · Computer Science 2019-01-24 Rachel Cummings , David Durfee

Researchers increasingly use data on social and economic networks to study a range of social science questions, but releasing statistics derived from networks can raise significant privacy concerns. We show how to release network…

Applications · Statistics 2026-03-17 Tom A. Rutter , Yuxin Liu , M. Amin Rahimian

We present an approach to differentially private computation in which one does not scale up the magnitude of noise for challenging queries, but rather scales down the contributions of challenging records. While scaling down all records…

Cryptography and Security · Computer Science 2015-03-20 Davide Proserpio , Sharon Goldberg , Frank McSherry

A key tool for building differentially private systems is adding Gaussian noise to the output of a function evaluated on a sensitive dataset. Unfortunately, using a continuous distribution presents several practical challenges. First and…

Data Structures and Algorithms · Computer Science 2024-11-19 Clément L. Canonne , Gautam Kamath , Thomas Steinke

Integer data is typically made differentially private by adding noise from a Discrete Laplace (or Discrete Gaussian) distribution. We study the setting where differential privacy of a counting query is achieved using bit-wise randomized…

Information Theory · Computer Science 2023-11-17 David Rasmussen Lolck , Rasmus Pagh

Differential privacy is the state-of-the-art formal definition for data release under strong privacy guarantees. A variety of mechanisms have been proposed in the literature for releasing the output of numeric queries (e.g., the Laplace…

Cryptography and Security · Computer Science 2022-04-15 Victor A. E. Farias , Felipe T. Brito , Cheryl Flynn , Javam C. Machado , Subhabrata Majumdar , Divesh Srivastava

The worldwide adoption of machine learning (ML) and deep learning models, particularly in critical sectors, such as healthcare and finance, presents substantial challenges in maintaining individual privacy and fairness. These two elements…

Machine Learning · Computer Science 2024-04-16 Mengmeng Yang , Ming Ding , Youyang Qu , Wei Ni , David Smith , Thierry Rakotoarivelo

Linear regression is an important tool across many fields that work with sensitive human-sourced data. Significant prior work has focused on producing differentially private point estimates, which provide a privacy guarantee to individuals…

Machine Learning · Computer Science 2019-10-30 Garrett Bernstein , Daniel Sheldon

Classical measures of inequality use the mean as the benchmark of economic dispersion. They are not sensitive to inequality at the left tail of the distribution, where it would matter most. This paper presents a new inequality measurement…

Econometrics · Economics 2022-09-13 Mario Schlemmer
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