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We initiate a systematic study of algorithms that are both differentially private and run in sublinear time for several problems in which the goal is to estimate natural graph parameters. Our main result is a differentially-private…

Data Structures and Algorithms · Computer Science 2022-03-15 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee

We initiate the study of hypothesis selection under local differential privacy. Given samples from an unknown probability distribution $p$ and a set of $k$ probability distributions $\mathcal{Q}$, we aim to output, under the constraints of…

Data Structures and Algorithms · Computer Science 2020-06-23 Sivakanth Gopi , Gautam Kamath , Janardhan Kulkarni , Aleksandar Nikolov , Zhiwei Steven Wu , Huanyu Zhang

A \emph{trace} of a sequence is generated by deleting each bit of the sequence independently with a fixed probability. The well-studied \emph{trace reconstruction} problem asks how many traces are required to reconstruct an unknown binary…

Combinatorics · Mathematics 2026-03-11 Wenjie Zhong , Xiande Zhang

We present new differentially private algorithms for learning a large-margin halfspace. In contrast to previous algorithms, which are based on either differentially private simulations of the statistical query model or on private convex…

Machine Learning · Computer Science 2020-02-25 Huy L. Nguyen , Jonathan Ullman , Lydia Zakynthinou

The observations in many applications consist of counts of discrete events, such as photons hitting a dector, which cannot be effectively modeled using an additive bounded or Gaussian noise model, and instead require a Poisson noise model.…

Optimization and Control · Mathematics 2016-11-17 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

Reconstruction of a 3D shape from a single 2D image is a classical computer vision problem, whose difficulty stems from the inherent ambiguity of recovering occluded or only partially observed surfaces. Recent methods address this challenge…

Computer Vision and Pattern Recognition · Computer Science 2020-02-04 Yuan Yao , Nico Schertler , Enrique Rosales , Helge Rhodin , Leonid Sigal , Alla Sheffer

Creating geometric abstracted models from image-based scene reconstructions is difficult due to noise and irregularities in the reconstructed model. In this paper, we present a geometric modeling method for noisy reconstructions dominated…

Computer Vision and Pattern Recognition · Computer Science 2014-04-22 Thomas Holzmann , Christof Hoppe , Stefan Kluckner , Horst Bischof

We study the fixed design segmented regression problem: Given noisy samples from a piecewise linear function $f$, we want to recover $f$ up to a desired accuracy in mean-squared error. Previous rigorous approaches for this problem rely on…

Machine Learning · Computer Science 2016-07-15 Jayadev Acharya , Ilias Diakonikolas , Jerry Li , Ludwig Schmidt

We study spectral graph clustering under edge differential privacy. We propose a matrix shuffling mechanism that combines randomized edge flipping with a random permutation of the adjacency matrix. While edge flipping alone provides only a…

Information Theory · Computer Science 2026-05-12 Antti Koskela , Mohamed Seif , H. Vincent Poor , Andrea J. Goldsmith

We design new differentially private algorithms for the Euclidean k-means problem, both in the centralized model and in the local model of differential privacy. In both models, our algorithms achieve significantly improved error guarantees…

Data Structures and Algorithms · Computer Science 2018-07-17 Haim Kaplan , Uri Stemmer

We study privacy-preserving exploration in sequential decision-making for environments that rely on sensitive data such as medical records. In particular, we focus on solving the problem of reinforcement learning (RL) subject to the…

Machine Learning · Computer Science 2022-06-24 Dung Daniel Ngo , Giuseppe Vietri , Zhiwei Steven Wu

For large-scale cyber-physical systems, the collaboration of spatially distributed sensors is often needed to perform the state estimation process. Privacy concerns naturally arise from disclosing sensitive measurement signals to a cloud…

Cryptography and Security · Computer Science 2023-05-15 Mohammed M. Dawoud , Changxin Liu , Amr Alanwar , Karl H. Johansson

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…

Data Structures and Algorithms · Computer Science 2025-12-25 Florian Kerschbaum , Steven Lee , Hao Wu

Inconsistent values are commonly encountered in real-world applications, which can negatively impact data analysis and decision-making. While existing research primarily focuses on identifying the smallest removal set to resolve…

Data Structures and Algorithms · Computer Science 2025-12-23 Haoda Li , Jiahui Chen , Yu Sun , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

An emerging problem in computer vision is the reconstruction of 3D shape and pose of an object from a single image. Hitherto, the problem has been addressed through the application of canonical deep learning methods to regress from the…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Rui Zhu , Hamed Kiani Galoogahi , Chaoyang Wang , Simon Lucey

We study the problem of answering \emph{$k$-way marginal} queries on a database $D \in (\{0,1\}^d)^n$, while preserving differential privacy. The answer to a $k$-way marginal query is the fraction of the database's records $x \in \{0,1\}^d$…

Data Structures and Algorithms · Computer Science 2013-09-04 Karthekeyan Chandrasekaran , Justin Thaler , Jonathan Ullman , Andrew Wan

We present the numerical analysis of a finite element method (FEM) for one-dimensional Dirichlet problems involving the logarithmic Laplacian (the pseudo-differential operator that appears as a first-order expansion of the fractional…

Numerical Analysis · Mathematics 2025-05-21 Víctor Hernández-Santamaría , Sven Jarohs , Alberto Saldaña , Leonard Sinsch

There are many challenging problems in the person re-identification (ReID) task, such as the occlusion and scale variation. Existing works usually tried to solve them by employing a one-branch network. This one-branch network needs to be…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Xianghao Zang , Ge Li , Wei Gao , Xiujun Shu

We propose an algorithm with improved query-complexity for the problem of hypothesis selection under local differential privacy constraints. Given a set of $k$ probability distributions $Q$, we describe an algorithm that satisfies local…

Data Structures and Algorithms · Computer Science 2026-01-16 Gautam Kamath , Alireza F. Pour , Matthew Regehr , David P. Woodruff

We investigate the problem of estimating the 3D shape of an object, given a set of 2D landmarks in a single image. To alleviate the reconstruction ambiguity, a widely-used approach is to confine the unknown 3D shape within a shape space…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Xiaowei Zhou , Spyridon Leonardos , Xiaoyan Hu , Kostas Daniilidis