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Through the lens of information-theoretic reductions, we examine a reductions approach to fair optimization and learning where a black-box optimizer is used to learn a fair model for classification or regression. Quantifying the complexity,…

Machine Learning · Computer Science 2021-05-25 Daniel Alabi

Finding min $s$-$t$ cuts in graphs is a basic algorithmic tool with applications in image segmentation, community detection, reinforcement learning, and data clustering. In this problem, we are given two nodes as terminals, and the goal is…

Data Structures and Algorithms · Computer Science 2023-12-29 Mina Dalirrooyfard , Slobodan Mitrović , Yuriy Nevmyvaka

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

Data Structures and Algorithms · Computer Science 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

We consider differentially private counting when each data point consists of $d$ bits satisfying a partial order. Our main technical contribution is a problem-specific $K$-norm mechanism that runs in time $O(d^2)$. Experiments show that,…

Cryptography and Security · Computer Science 2024-10-10 Matthew Joseph , Mónica Ribero , Alexander Yu

We study the problem of privately estimating the parameters of $d$-dimensional Gaussian Mixture Models (GMMs) with $k$ components. For this, we develop a technique to reduce the problem to its non-private counterpart. This allows us to…

Machine Learning · Statistics 2023-06-09 Jamil Arbas , Hassan Ashtiani , Christopher Liaw

Many algorithms have been developed to estimate probability distributions subject to differential privacy (DP): such an algorithm takes as input independent samples from a distribution and estimates the density function in a way that is…

Cryptography and Security · Computer Science 2024-12-17 Albert Cheu , Debanuj Nayak

A major challenge in applying differential privacy to training deep neural network models is scalability.The widely-used training algorithm, differentially private stochastic gradient descent (DP-SGD), struggles with training…

Machine Learning · Computer Science 2023-03-09 Kamil Adamczewski , Mijung Park

We propose a method to exponentially speed up computation of various fingerprints, such as the ones used to compute similarity and rarity in massive data sets. Rather then maintaining the full stream of $b$ items of a universe $[u]$, such…

Data Structures and Algorithms · Computer Science 2010-09-30 Yoram Bachrach , Ely Porat

Consider updates arriving online in which the $t$th input is $(i_t,d_t)$, where $i_t$'s are thought of as IDs of users. Informally, a randomized function $f$ is {\em differentially private} with respect to the IDs if the probability…

Cryptography and Security · Computer Science 2010-09-09 Darakhshan Mir , S. Muthukrishnan , Aleksandar Nikolov , Rebecca N. Wright

We study the problem of subsampling in differential privacy (DP), a question that is the centerpiece behind many successful differentially private machine learning algorithms. Specifically, we provide a tight upper bound on the R\'enyi…

Machine Learning · Computer Science 2018-12-05 Yu-Xiang Wang , Borja Balle , Shiva Kasiviswanathan

We show a connection between sampling and optimization on discrete domains. For a family of distributions $\mu$ defined on size $k$ subsets of a ground set of elements that is closed under external fields, we show that rapid mixing of…

Machine Learning · Computer Science 2021-09-16 Nima Anari , Thuy-Duong Vuong

This paper is the first to attempt differentially private (DP) topological data analysis (TDA), producing near-optimal private persistence diagrams. We analyze the sensitivity of persistence diagrams in terms of the bottleneck distance, and…

Machine Learning · Statistics 2023-11-06 Taegyu Kang , Sehwan Kim , Jinwon Sohn , Jordan Awan

Differentially private stochastic gradient descent (DP-SGD) is the workhorse algorithm for recent advances in private deep learning. It provides a single privacy guarantee to all datapoints in the dataset. We propose output-specific…

Machine Learning · Computer Science 2024-07-26 Da Yu , Gautam Kamath , Janardhan Kulkarni , Tie-Yan Liu , Jian Yin , Huishuai Zhang

Local differential privacy (LDP) can provide each user with strong privacy guarantees under untrusted data curators while ensuring accurate statistics derived from privatized data. Due to its powerfulness, LDP has been widely adopted to…

Cryptography and Security · Computer Science 2019-06-06 Teng Wang , Jun Zhao , Xinyu Yang , Xuebin Ren

Linear models are ubiquitous in data science, but are particularly prone to overfitting and data memorization in high dimensions. To guarantee the privacy of training data, differential privacy can be used. Many papers have proposed…

Machine Learning · Computer Science 2024-04-02 Amol Khanna , Edward Raff , Nathan Inkawhich

Differential Privacy (DP) provides a formal framework for training machine learning models with individual example level privacy. In the field of deep learning, Differentially Private Stochastic Gradient Descent (DP-SGD) has emerged as a…

Machine Learning · Computer Science 2022-05-24 Harsh Mehta , Abhradeep Thakurta , Alexey Kurakin , Ashok Cutkosky

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

We study differentially private approximation algorithms for positive linear programs (LPs with nonnegative coefficients and variables), focusing on the fundamental families of packing, covering, and mixed packing-covering formulations. We…

Data Structures and Algorithms · Computer Science 2026-05-28 Alina Ene , Huy Le Nguyen , Ta Duy Nguyen , Adrian Vladu

Data scientists often seek to identify the most important features in high-dimensional datasets. This can be done through $L_1$-regularized regression, but this can become inefficient for very high-dimensional datasets. Additionally,…

Machine Learning · Computer Science 2024-08-26 Ryan Swope , Amol Khanna , Philip Doldo , Saptarshi Roy , Edward Raff

The key to personalized recommendation is to predict a personalized ranking on a catalog of items by modeling the user's preferences. There are many personalized ranking approaches for item recommendation from implicit feedback like…

Information Retrieval · Computer Science 2024-06-25 Yuli Liu , Christian Walder , Lexing Xie
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