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We study computational aspects of the nonparametric maximum likelihood estimator (NPMLE) for the distribution function of bivariate interval censored data. The computation of the NPMLE consists of two steps: a parameter reduction step and…

Computation · Statistics 2012-01-12 Marloes H. Maathuis

Boosted ensemble of decision tree (DT) classifiers are extremely popular in international competitions, yet to our knowledge nothing is formally known on how to make them \textit{also} differential private (DP), up to the point that random…

Machine Learning · Computer Science 2020-02-05 Richard Nock , Wilko Henecka

Differentially private algorithms allow large-scale data analytics while preserving user privacy. Designing such algorithms for graph data is gaining importance with the growth of large networks that model various (sensitive) relationships…

Data Structures and Algorithms · Computer Science 2022-11-22 Laxman Dhulipala , Quanquan C. Liu , Sofya Raskhodnikova , Jessica Shi , Julian Shun , Shangdi Yu

How can we explore the unknown properties of high-dimensional sensitive relational data while preserving privacy? We study how to construct an explorable privacy-preserving materialized view under differential privacy. No existing…

Databases · Computer Science 2022-05-27 Fumiyuki Kato , Tsubasa Takahashi , Shun Takagi , Yang Cao , Seng Pei Liew , Masatoshi Yoshikawa

We consider the task of producing heatmaps from users' aggregated data while protecting their privacy. We give a differentially private (DP) algorithm for this task and demonstrate its advantages over previous algorithms on real-world…

Data Structures and Algorithms · Computer Science 2022-11-28 Badih Ghazi , Junfeng He , Kai Kohlhoff , Ravi Kumar , Pasin Manurangsi , Vidhya Navalpakkam , Nachiappan Valliappan

This paper is concerned with the approximation of tensors using tree-based tensor formats, which are tensor networks whose graphs are dimension partition trees. We consider Hilbert tensor spaces of multivariate functions defined on a…

Numerical Analysis · Mathematics 2019-09-11 Anthony Nouy

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

We give two new approximation algorithms to compute the fractional hypertree width of an input hypergraph. The first algorithm takes as input $n$-vertex $m$-edge hypergraph $H$ of fractional hypertree width at most $\omega$, runs in…

Data Structures and Algorithms · Computer Science 2024-10-01 Viktoriia Korchemna , Daniel Lokshtanov , Saket Saurabh , Vaishali Surianarayanan , Jie Xue

For databases consisting of many text documents, one of the most fundamental data analysis tasks is counting (i) how often a pattern appears as a substring in the database (substring counting) and (ii) how many documents in the collection…

Data Structures and Algorithms · Computer Science 2026-03-27 Giulia Bernardini , Philip Bille , Inge Li Gørtz , Teresa Anna Steiner

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

Applying differential privacy at scale requires convenient ways to check that programs computing with sensitive data appropriately preserve privacy. We propose here a fully automated framework for {\em testing} differential privacy,…

Cryptography and Security · Computer Science 2020-10-09 Hengchu Zhang , Edo Roth , Andreas Haeberlen , Benjamin C. Pierce , Aaron Roth

As one of the most fundamental problems in machine learning, statistics and differential privacy, Differentially Private Stochastic Convex Optimization (DP-SCO) has been extensively studied in recent years. However, most of the previous…

Machine Learning · Computer Science 2021-08-10 Lijie Hu , Shuo Ni , Hanshen Xiao , Di Wang

Many differentially private algorithms for answering database queries involve a step that reconstructs a discrete data distribution from noisy measurements. This provides consistent query answers and reduces error, but often requires space…

Machine Learning · Computer Science 2021-10-27 Ryan McKenna , Siddhant Pradhan , Daniel Sheldon , Gerome Miklau

Data about individuals may contain private and sensitive information. The differential privacy (DP) was proposed to address the problem of protecting the privacy of each individual while keeping useful information about a population.…

Data Structures and Algorithms · Computer Science 2022-04-27 Chenglin Fan , Ping Li

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

Cryptography and Security · Computer Science 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

In this paper we are interested in decomposing a dihypergraph $\mathcal{H} = (V, \mathcal{E})$ into simpler dihypergraphs, that can be handled more efficiently. We study the properties of dihypergraphs that can be hierarchically decomposed…

Discrete Mathematics · Computer Science 2020-06-23 Lhouari Nourine , Simon Vilmin

Deep learning has gained significant attention in medical image segmentation. However, the limited availability of annotated training data presents a challenge to achieving accurate results. In efforts to overcome this challenge, data…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Aghiles Kebaili , Jérôme Lapuyade-Lahorgue , Pierre Vera , Su Ruan

Differential privacy (DP) provides a mathematical guarantee limiting what an adversary can learn about any individual from released data. However, achieving this protection typically requires adding noise, and noise can accumulate when many…

Machine Learning · Computer Science 2026-02-12 Amir Asiaee , Chao Yan , Zachary B. Abrams , Bradley A. Malin

We study the sample complexity of differentially private optimization of quasi-concave functions. For a fixed input domain $\mathcal{X}$, Cohen et al. (STOC 2023) proved that any generic private optimizer for low sensitive quasi-concave…

Cryptography and Security · Computer Science 2025-04-29 Kobbi Nissim , Eliad Tsfadia , Chao Yan

We study the Densest Subgraph (DSG) problem under the additional constraint of differential privacy. DSG is a fundamental theoretical question which plays a central role in graph analytics, and so privacy is a natural requirement. All known…

Data Structures and Algorithms · Computer Science 2024-04-09 Michael Dinitz , Satyen Kale , Silvio Lattanzi , Sergei Vassilvitskii