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We study the distributed tracking model, also known as distributed functional monitoring. This model involves $k$ sites each receiving a stream of items and communicating with the central server. The server's task is to track a function of…

Data Structures and Algorithms · Computer Science 2023-11-02 Zhongzheng Xiong , Xiaoyi Zhu , Zengfeng Huang

Sharing real-time aggregate statistics of private data is of great value to the public to perform data mining for understanding important phenomena, such as Influenza outbreaks and traffic congestion. However, releasing time-series data…

Databases · Computer Science 2013-01-08 Liyue Fan , Li Xiong

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

Machine Learning · Computer Science 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

Privacy protection and uncertainty quantification are increasingly important in data-driven decision making. Conformal prediction provides finite-sample marginal coverage, but existing private approaches often rely on data splitting,…

Machine Learning · Statistics 2026-03-10 Young Hyun Cho , Jordan Awan

While logistic regression models are easily accessible to researchers, when applied to network data there are unrealistic assumptions made about the dependence structure of the data. For temporal networks measured in discrete time, recent…

Methodology · Statistics 2020-05-20 Daniel K. Sewell

We extend the theory of d-separation to cases in which data instances are not independent and identically distributed. We show that applying the rules of d-separation directly to the structure of probabilistic models of relational data…

Artificial Intelligence · Computer Science 2014-01-07 Marc Maier , Katerina Marazopoulou , David Jensen

We introduce an adaptive method with formal quality guarantees for weak supervision in a non-stationary setting. Our goal is to infer the unknown labels of a sequence of data by using weak supervision sources that provide independent noisy…

Machine Learning · Computer Science 2025-05-05 Alessio Mazzetto , Reza Esfandiarpoor , Akash Singirikonda , Eli Upfal , Stephen H. Bach

We introduce derivative sensitivity, an analogue to local sensitivity for continuous functions. We use this notion in an analysis that determines the amount of noise to be added to the result of a database query in order to obtain a certain…

Cryptography and Security · Computer Science 2018-11-16 Peeter Laud , Alisa Pankova , Martin Pettai

Overfitting is the bane of data analysts, even when data are plentiful. Formal approaches to understanding this problem focus on statistical inference and generalization of individual analysis procedures. Yet the practice of data analysis…

Machine Learning · Computer Science 2015-09-28 Cynthia Dwork , Vitaly Feldman , Moritz Hardt , Toniann Pitassi , Omer Reingold , Aaron Roth

We investigate the problem of detecting dependencies between the components of a high-dimensional vector. Our approach advances the existing literature in two important respects. First, we consider the problem under privacy constraints.…

Statistics Theory · Mathematics 2026-03-24 Patrick Bastian , Holger Dette , Martin Dunsche

In the context of sensitivity analysis of complex phenomena in presence of uncertainty, we motivate and precise the idea of orienting the analysis towards a critical domain of the studied phenomenon. We make a brief history of related…

Methodology · Statistics 2018-04-02 Hugo Raguet , Amandine Marrel

Privacy-preserving data analysis has become a central challenge in modern statistics. At the same time, a long-standing goal in statistics is the development of adaptive procedures -- methods that achieve near-optimal performance across…

Statistics Theory · Mathematics 2025-12-17 T. Tony Cai , Abhinav Chakraborty , Lasse Vuursteen

Differential privacy formalises privacy-preserving mechanisms that provide access to a database. We pose the question of whether Bayesian inference itself can be used directly to provide private access to data, with no modification. The…

The paper deals with models in which the dependent variable, some explanatory variables, or both represent sensitive data. We introduce a novel discretization method that preserves data privacy when working with such variables. A multiple…

Econometrics · Economics 2025-09-25 Felix Chan , Laszlo Matyas , Agoston Reguly

Using the linear Gaussian latent variable model as a starting point we relax some of the constraints it imposes by deriving a nonparametric latent feature Gaussian variable model. This model introduces additional discrete latent variables…

Machine Learning · Statistics 2019-05-28 Adam Farooq , Yordan P. Raykov , Luc Evers , Max A. Little

Causal discovery from observational data is a fundamental task in artificial intelligence, with far-reaching implications for decision-making, predictions, and interventions. Despite significant advances, existing methods can be broadly…

Machine Learning · Computer Science 2026-02-06 Jincheng Zhou , Mengbo Wang , Anqi He , Yumeng Zhou , Hessam Olya , Murat Kocaoglu , Bruno Ribeiro

Modern data workflows are inherently adaptive, repeatedly querying the same dataset to refine and validate sequential decisions, but such adaptivity can lead to overfitting and invalid statistical inference. Adaptive Data Analysis (ADA)…

Machine Learning · Computer Science 2026-02-10 Joon Suk Huh

Adaptive data analysis is frequently criticized for its pessimistic generalization guarantees. The source of these pessimistic bounds is a model that permits arbitrary, possibly adversarial analysts that optimally use information to bias…

Machine Learning · Computer Science 2019-05-14 Tijana Zrnic , Moritz Hardt

Uncertainty quantification of predictive models is crucial in decision-making problems. Conformal prediction is a general and theoretically sound answer. However, it requires exchangeable data, excluding time series. While recent works…

Machine Learning · Statistics 2022-02-16 Margaux Zaffran , Aymeric Dieuleveut , Olivier Féron , Yannig Goude , Julie Josse

The focus of disentanglement approaches has been on identifying independent factors of variation in data. However, the causal variables underlying real-world observations are often not statistically independent. In this work, we bridge the…