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We develop a privatised stochastic variational inference method for Latent Dirichlet Allocation (LDA). The iterative nature of stochastic variational inference presents challenges: multiple iterations are required to obtain accurate…

机器学习 · 统计学 2018-12-05 Mijung Park , James Foulds , Kamalika Chaudhuri , Max Welling

We study non-parametric density estimation for densities in Lipschitz and Sobolev spaces, and under central privacy. In particular, we investigate regimes where the privacy budget is not supposed to be constant. We consider the classical…

人工智能 · 计算机科学 2024-09-19 Clément Lalanne , Aurélien Garivier , Rémi Gribonval

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…

数据结构与算法 · 计算机科学 2024-06-18 Samuel B. Hopkins , Gautam Kamath , Mahbod Majid , Shyam Narayanan

This work shows how to privately and more accurately estimate Euclidean distance between pairs of vectors. Input vectors $x$ and $y$ are mapped to differentially private sketches $x'$ and $y'$, from which one can estimate the distance…

数据结构与算法 · 计算机科学 2022-03-23 Nina Mesing Stausholm

We propose an adaptive (stochastic) gradient perturbation method for differentially private empirical risk minimization. At each iteration, the random noise added to the gradient is optimally adapted to the stepsize; we name this process…

机器学习 · 计算机科学 2021-10-26 Xiaoxia Wu , Lingxiao Wang , Irina Cristali , Quanquan Gu , Rebecca Willett

Locality Sensitive Filters are known for offering a quasi-linear space data structure with rigorous guarantees for the Approximate Near Neighbor search (ANN) problem. Building on Locality Sensitive Filters, we derive a simple data structure…

数据结构与算法 · 计算机科学 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

We begin by introducing a class of conditional density estimators based on local polynomial techniques. The estimators are boundary adaptive and easy to implement. We then study the (pointwise and) uniform statistical properties of the…

统计理论 · 数学 2023-12-19 Matias D. Cattaneo , Rajita Chandak , Michael Jansson , Xinwei Ma

We provide an end-to-end differentially private spectral algorithm for learning LDA, based on matrix/tensor decompositions, and establish theoretical guarantees on utility/consistency of the estimated model parameters. The spectral…

机器学习 · 统计学 2020-01-20 Christopher DeCarolis , Mukul Ram , Seyed A. Esmaeili , Yu-Xiang Wang , Furong Huang

This article examines density estimation by combining a parametric approach with a nonparametric factor. The plug-in parametric estimator is seen as a crude estimator of the true density and is adjusted by a nonparametric factor. The…

统计理论 · 数学 2007-06-13 Kanta Naito

Gradient perturbation, widely used for differentially private optimization, injects noise at every iterative update to guarantee differential privacy. Previous work first determines the noise level that can satisfy the privacy requirement…

机器学习 · 计算机科学 2020-10-27 Da Yu , Huishuai Zhang , Wei Chen , Tie-Yan Liu , Jian Yin

In this work we explore the fidelity of numerical approximations to the analytic spectra of hyperbolic partial differential equation systems with variable coefficients. We are particularly interested in the ability of discrete methods to…

数值分析 · 数学 2025-08-12 Brittany A. Erickson

In this paper, we investigate federated learning for quantile inference under local differential privacy (LDP). We propose an estimator based on local stochastic gradient descent (SGD), whose local gradients are perturbed via a randomized…

统计方法学 · 统计学 2025-09-29 Leheng Cai , Qirui Hu , Shuyuan Wu

We investigate how to optimally design local differential privacy (LDP) mechanisms that reduce data unfairness and thereby improve fairness in downstream classification. We first derive a closed-form optimal mechanism for binary sensitive…

机器学习 · 计算机科学 2026-02-02 Hrad Ghoukasian , Shahab Asoodeh

In this paper, we aim to solve for unsupervised domain adaptation of classifiers where we have access to label information for the source domain while these are not available for a target domain. While various methods have been proposed for…

计算机视觉与模式识别 · 计算机科学 2019-09-17 Vinod Kumar Kurmi , Shanu Kumar , Vinay P Namboodiri

We present an approach to quantify and compare the privacy-accuracy trade-off for differentially private Variational Autoencoders. Our work complements previous work in two aspects. First, we evaluate the the strong reconstruction MI attack…

密码学与安全 · 计算机科学 2022-04-19 Daniel Bernau , Jonas Robl , Florian Kerschbaum

In some socio-economic surveys, data are collected on sensitive or stigmatizing issues such as tax evasion, criminal conviction, drug use, etc. In such surveys, direct questioning of respondents is not of much use and the randomized…

统计理论 · 数学 2013-03-22 Mausumi Bose

In this paper, we present a differential privacy version of convex and nonconvex sparse classification approach. Based on alternating direction method of multiplier (ADMM) algorithm, we transform the solving of sparse problem into the…

机器学习 · 统计学 2019-08-05 Puyu Wang , Hai Zhang

We initiate the study of locally differentially private (LDP) learning with public features. We define semi-feature LDP, where some features are publicly available while the remaining ones, along with the label, require protection under…

机器学习 · 统计学 2025-02-12 Yuheng Ma , Ke Jia , Hanfang Yang

Local differential privacy is a promising privacy-preserving model for statistical aggregation of user data that prevents user privacy leakage from the data aggregator. This paper focuses on the problem of estimating the distribution of…

密码学与安全 · 计算机科学 2021-02-26 Ba Dung Le , Tanveer Zia

In this work, we study wavelet projection estimators for density estimation, focusing on their construction from $\mathcal{S}$-regular, compactly supported wavelet bases. A key aspect of such estimators is the choice of the resolution…

统计理论 · 数学 2025-09-10 Van Ha Hoang , Tien Dat Nguyen , Thi Mong Ngoc Nguyen