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Existing methods for rotation estimation between two spherical ($\mathbb{S}^2$) patterns typically rely on spherical cross-correlation maximization between two spherical function. However, these approaches exhibit computational complexities…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Anik Sarker , Alan T. Asbeck

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

机器学习 · 计算机科学 2023-01-24 Nikolaj Tatti

Two major challenges in distributed learning and estimation are 1) preserving the privacy of the local samples; and 2) communicating them efficiently to a central server, while achieving high accuracy for the end-to-end task. While there…

机器学习 · 计算机科学 2021-04-23 Wei-Ning Chen , Peter Kairouz , Ayfer Özgür

An original expectation propagation (EP) based message passing framework is introduced, wherein transmitted symbols are considered to belong to the multivariate white Gaussian distribution family. This approach allows deriving a novel class…

信号处理 · 电气工程与系统科学 2020-01-29 Serdar Şahin , Antonio M. Cipriano , Charly Poulliat , Marie-Laure Boucheret

We study model personalization under user-level differential privacy (DP) in the shared representation framework. In this problem, there are $n$ users whose data is statistically heterogeneous, and their optimal parameters share an unknown…

机器学习 · 计算机科学 2025-06-25 Conor Snedeker , Xinyu Zhou , Raef Bassily

We present an algorithm that releases a pure differentially private (under the replacement neighboring relation) sparse histogram for $n$ participants over a domain of size $d \gg n$. Our method achieves the optimal $\ell_\infty$-estimation…

数据结构与算法 · 计算机科学 2025-12-25 Florian Kerschbaum , Steven Lee , Hao Wu

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…

数据结构与算法 · 计算机科学 2022-06-14 Hossein Esfandiari , Vahab Mirrokni , Shyam Narayanan

The Differential Privacy (DP) literature often centers on meeting privacy constraints by introducing noise to the query, typically using a pre-specified parametric distribution model with one or two degrees of freedom. However, this…

密码学与安全 · 计算机科学 2024-09-30 Sachin Kadam , Anna Scaglione , Nikhil Ravi , Sean Peisert , Brent Lunghino , Aram Shumavon

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 study, we introduce a refined method for ascertaining error estimations in numerical simulations of dynamical systems via an innovative application of composition techniques. Our approach involves a dual application of a basic…

综合数学 · 数学 2024-09-18 Ahmad Deeb , Denys Dutykh

The turnstile continual release model of differential privacy captures scenarios where a privacy-preserving real-time analysis is sought for a dataset evolving through additions and deletions. In typical applications of real-time data…

数据结构与算法 · 计算机科学 2025-05-30 Rachel Cummings , Alessandro Epasto , Jieming Mao , Tamalika Mukherjee , Tingting Ou , Peilin Zhong

This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

信息论 · 计算机科学 2026-03-24 Mingen Pan

We consider a refinement of differential privacy --- per instance differential privacy (pDP), which captures the privacy of a specific individual with respect to a fixed data set. We show that this is a strict generalization of the standard…

机器学习 · 统计学 2018-11-15 Yu-Xiang Wang

We revisit one of the most basic and widely applicable techniques in the literature of differential privacy - the sparse vector technique [Dwork et al., STOC 2009]. This simple algorithm privately tests whether the value of a given query on…

机器学习 · 计算机科学 2020-11-17 Haim Kaplan , Yishay Mansour , Uri Stemmer

The problem of phase synchronization is to estimate the phases (angles) of a complex unit-modulus vector $z$ from their noisy pairwise relative measurements $C = zz^* + \sigma W$, where $W$ is a complex-valued Gaussian random matrix. The…

最优化与控制 · 数学 2018-04-10 Yiqiao Zhong , Nicolas Boumal

We study privacy in a distributed learning framework, where clients collaboratively build a learning model iteratively through interactions with a server from whom we need privacy. Motivated by stochastic optimization and the federated…

机器学习 · 计算机科学 2021-07-20 Antonious M. Girgis , Deepesh Data , Suhas Diggavi

We initiate a systematic study of worst-group risk minimization under $(\epsilon, \delta)$-differential privacy (DP). The goal is to privately find a model that approximately minimizes the maximal risk across $p$ sub-populations (groups)…

机器学习 · 计算机科学 2024-03-01 Xinyu Zhou , Raef Bassily

In this paper, channel estimation and data detection for multihop relaying orthogonal frequency division multiplexing (OFDM) system is investigated under time-varying channel. Different from previous works, which highly depend on the…

信息论 · 计算机科学 2012-05-25 Rui Min , Yik-Chung Wu

A new line of work, started with Dwork et al., studies the task of answering statistical queries using a sample and relates the problem to the concept of differential privacy. By the Hoeffding bound, a sample of size $O(\log k/\alpha^2)$…

机器学习 · 计算机科学 2015-11-11 Kobbi Nissim , Uri Stemmer

Differential privacy is often studied under two different models of neighboring datasets: the add-remove model and the swap model. While the swap model is frequently used in the academic literature to simplify analysis, many practical…

数据结构与算法 · 计算机科学 2024-02-21 Alex Kulesza , Ananda Theertha Suresh , Yuyan Wang