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With the increasing demands for privacy protection, privacy-preserving machine learning has been drawing much attention in both academia and industry. However, most existing methods have their limitations in practical applications. On the…

Machine Learning · Computer Science 2022-02-22 Fei Zheng , Chaochao Chen , Xiaolin Zheng , Mingjie Zhu

The goal of this paper is to analyze distributional Markov Decision Processes as a class of control problems in which the objective is to learn policies that steer the distribution of a cumulative reward toward a prescribed target law,…

Optimization and Control · Mathematics 2026-02-09 Nicole Bäuerle , Athanasios Vasileiadis

Diffusion models have achieved huge empirical success in data generation tasks. Recently, some efforts have been made to adapt the framework of diffusion models to discrete state space, providing a more natural approach for modeling…

Machine Learning · Statistics 2024-02-15 Hongrui Chen , Lexing Ying

Distributed model predictive control (MPC) has been proven a successful method in regulating the operation of large-scale networks of constrained dynamical systems. This paper is concerned with cooperative distributed MPC in which the…

Optimization and Control · Mathematics 2021-06-29 Georgios Darivianakis , Angelos Georghiou , John Lygeros

In a classification task, counterfactual explanations provide the minimum change needed for an input to be classified into a favorable class. We consider the problem of privately retrieving the exact closest counterfactual from a database…

Information Theory · Computer Science 2024-11-18 Shreya Meel , Pasan Dissanayake , Mohamed Nomeir , Sanghamitra Dutta , Sennur Ulukus

The recent developments in machine learning have highlighted a conflict between online platforms and their users in terms of privacy. The importance of user privacy and the struggle for power over user data has been intensified as…

Machine Learning · Computer Science 2026-03-09 Charles Meyers , Aaron MacSween , Erik Elmroth , Tommy Löfstedt

Recent advances have sparked significant interest in the development of privacy-preserving Principal Component Analysis (PCA). However, many existing approaches rely on restrictive assumptions, such as assuming sub-Gaussian data or being…

Methodology · Statistics 2025-07-22 Minwoo Kim , Sungkyu Jung

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

Methodology · Statistics 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou

In this paper we demonstrate that, ignoring computational constraints, it is possible to privately release synthetic databases that are useful for large classes of queries -- much larger in size than the database itself. Specifically, we…

Data Structures and Algorithms · Computer Science 2011-09-13 Avrim Blum , Katrina Ligett , Aaron Roth

While machine learning has achieved remarkable results in a wide variety of domains, the training of models often requires large datasets that may need to be collected from different individuals. As sensitive information may be contained in…

Machine Learning · Computer Science 2023-02-07 Richeng Jin , Xiaofan He , Huaiyu Dai

In recent years, an increasing amount of data is collected in different and often, not cooperative, databases. The problem of privacy-preserving, distributed calculations over separated databases and, a relative to it, issue of private data…

Databases · Computer Science 2016-05-23 Philip Derbeko , Shlomi Dolev , Ehud Gudes , Jeffrey D. Ullman

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

Methodology · Statistics 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

Privacy-preserving machine learning is learning from sensitive datasets that are typically distributed across multiple data owners. Private machine learning is a remarkable challenge in a large number of realistic scenarios where no trusted…

Cryptography and Security · Computer Science 2019-01-29 Mohamed Nassar

We study a setting of collecting and learning from private data distributed across end users. In the shuffled model of differential privacy, the end users partially protect their data locally before sharing it, and their data is also…

Machine Learning · Computer Science 2025-02-21 Tal Wagner

The problem of appropriately matching items subject to compatibility constraints arises in a number of important applications. While most of the literature on matching theory focuses on a static setting with a fixed number of items, several…

Probability · Mathematics 2022-01-04 Céline Comte

Many real-world problems in machine learning, signal processing, and communications assume that an unknown vector $x$ is measured by a matrix A, resulting in a vector $y=Ax+z$, where $z$ denotes the noise; we call this a single measurement…

Information Theory · Computer Science 2017-07-13 Junan Zhu

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

In this work, we propose a differentially private algorithm for publishing matrices aggregated from sparse vectors. These matrices include social network adjacency matrices, user-item interaction matrices in recommendation systems, and…

Cryptography and Security · Computer Science 2025-06-26 Quentin Hillebrand , Vorapong Suppakitpaisarn , Tetsuo Shibuya

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

Sampling from learned high-dimensional distributions is a foundational computational problem. We introduce U-turn chains: Markov chains obtained by iterating short forward-backward steps of a diffusion model, in which each step proposes a…

Machine Learning · Computer Science 2026-05-27 Hyunmo Kang , Noam Itzhak Levi , Corinna Elena Wegner , Daniel J. Korchinski , Matthieu Wyart