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In the recent paper [5], a Bayesian approach for constructing confidence intervals in monotone regression problems is proposed, based on credible intervals. We view this method from a frequentist point of view, and show that it corresponds…

统计理论 · 数学 2023-08-01 Piet Groeneboom , Geurt Jongbloed

We present a differentially private mechanism to display statistics (e.g., the moving average) of a stream of real valued observations where the bound on each observation is either too conservative or unknown in advance. This is…

密码学与安全 · 计算机科学 2018-11-09 Victor Perrier , Hassan Jameel Asghar , Dali Kaafar

Constructing a differentially private (DP) estimator requires deriving the maximum influence of an observation, which can be difficult in the absence of exogenous bounds on the input data or the estimator, especially in high dimensional…

机器学习 · 统计学 2022-07-27 Ryan Cumings-Menon

Bootstrap smoothed (bagged) estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. Efron, 2014, derived a widely applicable formula for a delta method approximation to the standard…

统计方法学 · 统计学 2019-07-11 Paul Kabaila , Christeen Wijethunga

This paper considers the problem of the private release of sample means of speed values from traffic datasets. Our key contribution is the development of user-level differentially private algorithms that incorporate carefully chosen…

密码学与安全 · 计算机科学 2024-04-26 V. Arvind Rameshwar , Anshoo Tandon , Prajjwal Gupta , Aditya Vikram Singh , Novoneel Chakraborty , Abhay Sharma

Motivated by parametric models for which the likelihood is analytically unavailable, numerically unstable, or prohibitively expensive to compute or optimize, we develop a prior- and likelihood-free framework for fully probabilistic…

统计方法学 · 统计学 2026-03-17 Leonardo Cella , Emily C. Hector

We present an approach for generating differentially private synthetic text using large language models (LLMs), via private prediction. In the private prediction framework, we only require the output synthetic data to satisfy differential…

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

统计方法学 · 统计学 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker

This paper studies the design of an optimal privacyaware estimator of a public random variable based on noisy measurements which contain private information. The public random variable carries non-private information, however, its estimate…

最优化与控制 · 数学 2018-08-08 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson

Popular approaches to differential privacy, such as the Laplace and exponential mechanisms, calibrate randomised smoothing through global sensitivity of the target non-private function. Bounding such sensitivity is often a prohibitively…

机器学习 · 计算机科学 2017-06-12 Benjamin I. P. Rubinstein , Francesco Aldà

This paper focuses on the privacy-preserving distributed estimation problem with a limited data rate, where the observations are the sensitive information. Specifically, a binary-valued quantizer-based privacy-preserving distributed…

系统与控制 · 电气工程与系统科学 2026-01-13 Jieming Ke , Jimin Wang , Ji-Feng Zhang

We show that an "old dog", the classical discrete Laplace (aka.~geometric) mechanism, can "perform new tricks": 1. It can be post-processed to yield a simple, unbiased estimator of any subexponential function $f$ of the original data,…

密码学与安全 · 计算机科学 2026-05-08 Quentin Hillebrand , Jacob Imola , Rasmus Pagh , Sia Sejer

We give the first polynomial time and sample $(\epsilon, \delta)$-differentially private (DP) algorithm to estimate the mean, covariance and higher moments in the presence of a constant fraction of adversarial outliers. Our algorithm…

机器学习 · 统计学 2021-12-08 Pravesh K. Kothari , Pasin Manurangsi , Ameya Velingker

Sparse variable selection improves interpretability and generalization in high-dimensional learning by selecting a small subset of informative features. Recent advances in Mixed Integer Programming (MIP) have enabled solving large-scale…

机器学习 · 统计学 2025-10-28 Petros Prastakos , Kayhan Behdin , Rahul Mazumder

In assessing prediction accuracy of multivariable prediction models, optimism corrections are essential for preventing biased results. However, in most published papers of clinical prediction models, the point estimates of the prediction…

统计方法学 · 统计学 2022-08-02 Hisashi Noma , Tomohiro Shinozaki , Katsuhiro Iba , Satoshi Teramukai , Toshi A. Furukawa

In this paper we address the problem of performing statistical inference for large scale data sets i.e., Big Data. The volume and dimensionality of the data may be so high that it cannot be processed or stored in a single computing node. We…

统计方法学 · 统计学 2016-04-20 Shahab Basiri , Esa Ollila , Visa Koivunen

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

This work provides tight upper- and lower-bounds for the problem of mean estimation under $\epsilon$-differential privacy in the local model, when the input is composed of $n$ i.i.d. drawn samples from a normal distribution with variance…

数据结构与算法 · 计算机科学 2019-04-12 Marco Gaboardi , Ryan Rogers , Or Sheffet

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…

密码学与安全 · 计算机科学 2024-05-09 Nikolija Bojkovic , Po-Ling Loh

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…

机器学习 · 计算机科学 2012-07-03 Kamalika Chaudhuri , Daniel Hsu