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相关论文: A Unifying Framework for Differentially Private Su…

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We study the problem of continually releasing statistics of an evolving dataset under differential privacy. In the event-level setting, we show the first polynomial lower bounds on the additive error for insertions-only graph problems such…

数据结构与算法 · 计算机科学 2025-12-19 Bardiya Aryanfard , Monika Henzinger , David Saulpic , A. R. Sricharan

Differential private optimization for nonconvex smooth objective is considered. In the previous work, the best known utility bound is $\widetilde O(\sqrt{d}/(n\varepsilon_\mathrm{DP}))$ in terms of the squared full gradient norm, which is…

机器学习 · 计算机科学 2023-06-06 Tomoya Murata , Taiji Suzuki

Variational inequalities can in general support distinct solutions. In this paper we study an algorithm for computing distinct solutions of a variational inequality, without varying the initial guess supplied to the solver. The central idea…

最优化与控制 · 数学 2023-01-10 Patrick E. Farrell , Matteo Croci , Thomas M. Surowiec

We study efficient differentially private algorithms for estimating monotone statistics, i.e., statistics that are monotone under the addition of new observations. The starting point for our investigation is subsample-and-aggregate: a…

密码学与安全 · 计算机科学 2026-05-28 Gavin Brown , Ephraim Linder , Mahbod Majid , Vikrant Singhal

In this paper, we address the challenge of differential privacy in the context of graph cuts, specifically focusing on the multiway cut and the minimum $k$-cut. We introduce edge-differentially private algorithms that achieve nearly optimal…

密码学与安全 · 计算机科学 2024-12-04 Rishi Chandra , Michael Dinitz , Chenglin Fan , Zongrui Zou

We develop the first pure node-differentially-private algorithms for learning stochastic block models and for graphon estimation with polynomial running time for any constant number of blocks. The statistical utility guarantees match those…

数据结构与算法 · 计算机科学 2024-04-19 Hongjie Chen , Jingqiu Ding , Tommaso d'Orsi , Yiding Hua , Chih-Hung Liu , David Steurer

We study the accuracy of differentially private mechanisms in the continual release model. A continual release mechanism receives a sensitive dataset as a stream of $T$ inputs and produces, after receiving each input, an accurate output on…

数据结构与算法 · 计算机科学 2022-01-12 Palak Jain , Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith

Marginal MAP inference involves making MAP predictions in systems defined with latent variables or missing information. It is significantly more difficult than pure marginalization and MAP tasks, for which a large class of efficient and…

机器学习 · 计算机科学 2015-11-10 Wei Ping , Qiang Liu , Alexander Ihler

In this work, we give efficient algorithms for privately estimating a Gaussian distribution in both pure and approximate differential privacy (DP) models with optimal dependence on the dimension in the sample complexity. In the pure DP…

数据结构与算法 · 计算机科学 2023-06-02 Daniel Alabi , Pravesh K. Kothari , Pranay Tankala , Prayaag Venkat , Fred Zhang

In this paper, we consider the minimization of a $C^2-$smooth and strongly convex objective depending on a given parameter, which is usually found in many practical applications. We suppose that we desire to solve the problem with some…

最优化与控制 · 数学 2025-03-14 Jean-Jacques Godeme

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

最优化与控制 · 数学 2021-02-02 Zhi Li , Wei Shi , Ming Yan

Maximizing submodular objectives under constraints is a fundamental problem in machine learning and optimization. We study the maximization of a nonnegative, non-monotone $\gamma$-weakly DR-submodular function over a down-closed convex…

机器学习 · 计算机科学 2026-01-05 Hareshkumar Jadav , Ranveer Singh , Vaneet Aggarwal

In this work, we investigate binary classification under the constraints of both differential privacy and fairness. We first propose an algorithm based on the decoupling technique for learning a classifier with only fairness guarantee. This…

机器学习 · 计算机科学 2024-05-21 Hrad Ghoukasian , Shahab Asoodeh

We present a general technique for the analysis of first-order methods. The technique relies on the construction of a duality gap for an appropriate approximation of the objective function, where the function approximation improves as the…

最优化与控制 · 数学 2019-12-12 Jelena Diakonikolas , Lorenzo Orecchia

Consider an algorithm computing in a differential field with several commuting derivations such that the only operations it performs with the elements of the field are arithmetic operations, differentiation, and zero testing. We show that,…

交换代数 · 数学 2021-08-31 Wei Li , Alexey Ovchinnikov , Gleb Pogudin , Thomas Scanlon

In this paper, we study differentially private (DP) algorithms for computing the geometric median (GM) of a dataset: Given $n$ points, $x_1,\dots,x_n$ in $\mathbb{R}^d$, the goal is to find a point $\theta$ that minimizes the sum of the…

机器学习 · 计算机科学 2024-06-12 Mahdi Haghifam , Thomas Steinke , Jonathan Ullman

Differential privacy is the de-facto privacy standard in data analysis. The classic model of differential privacy considers the data to be static. The dynamic setting, called differential privacy under continual observation, captures many…

数据结构与算法 · 计算机科学 2023-06-21 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

Privacy in AI remains a topic that draws attention from researchers and the general public in recent years. As one way to implement privacy-preserving AI, differentially private learning is a framework that enables AI models to use…

机器学习 · 计算机科学 2023-05-03 Tianyu Xia , Shuheng Shen , Su Yao , Xinyi Fu , Ke Xu , Xiaolong Xu , Xing Fu

First order optimization algorithms play a major role in large scale machine learning. A new class of methods, called adaptive algorithms, were recently introduced to adjust iteratively the learning rate for each coordinate. Despite great…

机器学习 · 计算机科学 2019-10-01 André Belotto da Silva , Maxime Gazeau

Differential privacy and sublinear algorithms are both rapidly emerging algorithmic themes in times of big data analysis. Although recent works have shown the existence of differentially private sublinear algorithms for many problems…

数据结构与算法 · 计算机科学 2025-01-15 Jeremiah Blocki , Hendrik Fichtenberger , Elena Grigorescu , Tamalika Mukherjee