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Analysis and processing of data is a vital part of our modern society and requires vast amounts of computational resources. To reduce the computational burden, compressing and approximating data has become a central topic. We consider the…

Numerical Analysis · Mathematics 2026-03-17 Jürgen Dölz , Michael Multerer

In the differentially private top-$k$ selection problem, we are given a dataset $X \in \{\pm 1\}^{n \times d}$, in which each row belongs to an individual and each column corresponds to some binary attribute, and our goal is to find a set…

Data Structures and Algorithms · Computer Science 2017-02-13 Mitali Bafna , Jonathan Ullman

Privacy-protected microdata are often the desired output of a differentially private algorithm since microdata is familiar and convenient for downstream users. However, there is a statistical price for this kind of convenience. We show that…

We consider a sequential decision making task, where the goal is to optimize an unknown function without evaluating parameters that violate an a~priori unknown (safety) constraint. A common approach is to place a Gaussian process prior on…

Machine Learning · Computer Science 2024-05-13 Alessandro G. Bottero , Carlos E. Luis , Julia Vinogradska , Felix Berkenkamp , Jan Peters

Despite all the benefits of automated hyperparameter optimization (HPO), most modern HPO algorithms are black-boxes themselves. This makes it difficult to understand the decision process which leads to the selected configuration, reduces…

Machine Learning · Computer Science 2023-02-14 Julia Moosbauer , Giuseppe Casalicchio , Marius Lindauer , Bernd Bischl

Probabilistic inference is fundamentally hard, yet many tasks require optimization on top of inference, which is even harder. We present a new optimization-via-compilation strategy to scalably solve a certain class of such problems. In…

Programming Languages · Computer Science 2025-04-11 Minsung Cho , John Gouwar , Steven Holtzen

In the era of big data and the Internet of Things (IoT), data owners need to share a large amount of data with the intended receivers in an insecure environment, posing a trade-off issue between user privacy and data utility. The privacy…

Information Theory · Computer Science 2021-12-20 Qihong Wu , Jinchuan Tang , Shuping Dang , Gaojie Chen

This paper uses the invariance principle to solve the incidental parameter problem of [Econometrica 16 (1948) 1--32]. We seek group actions that preserve the structural parameter and yield a maximal invariant in the parameter space with…

Statistics Theory · Mathematics 2009-09-04 Marcelo J. Moreira

This paper addresses the problem of parameter privacy-preserving data sharing in coupled systems, where a data provider shares data with a data user but wants to protect its sensitive parameters. The shared data affects not only the data…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Haokun Yu , Jingyuan Zhou , Kaidi Yang

User-driven privacy allows individuals to control whether and at what granularity their data is shared, leading to datasets that mix original, generalized, and missing values within the same records and attributes. While such…

Machine Learning · Computer Science 2026-02-03 Lucas Lange , Adrian Böttinger , Victor Christen , Anushka Vidanage , Peter Christen , Erhard Rahm

Gradient-based solvers risk convergence to local optima, leading to incorrect researcher inference. Heuristic-based algorithms are able to ``break free" of these local optima to eventually converge to the true global optimum. However, given…

Econometrics · Economics 2024-01-17 Zachary Porreca

Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

Statistics Theory · Mathematics 2017-03-27 Paul T. von Hippel

Datasets are often used multiple times and each successive analysis may depend on the outcome of previous analyses. Standard techniques for ensuring generalization and statistical validity do not account for this adaptive dependence. A…

Machine Learning · Computer Science 2018-06-13 Vitaly Feldman , Thomas Steinke

Differential privacy enables organizations to collect accurate aggregates over sensitive data with strong, rigorous guarantees on individuals' privacy. Previous work has found that under differential privacy, computing multiple correlated…

Databases · Computer Science 2016-05-18 Ganzhao Yuan , Yin Yang , Zhenjie Zhang , Zhifeng Hao

Safety-critical environments are inherently dynamic. Distribution shifts, emerging vulnerabilities, and evolving requirements demand continuous updates to machine learning models. Yet even benign parameter updates can have unintended…

Machine Learning · Computer Science 2026-03-19 Leo Elmecker-Plakolm , Pierre Fasterling , Philip Sosnin , Calvin Tsay , Matthew Wicker

One of the most complex tasks of decision making and planning is to gather information. This task becomes even more complex when the state is high-dimensional and its belief cannot be expressed with a parametric distribution. Although the…

Artificial Intelligence · Computer Science 2022-09-26 Gilad Rotman , Vadim Indelman

With the rapid increase in computing, storage and networking resources, data is not only collected and stored, but also analyzed. This creates a serious privacy problem which often inhibits the use of this data. In this chapter, we…

Cryptography and Security · Computer Science 2016-10-10 Yuan Hong , Jaideep Vaidya , Nicholas Rizzo , Qi Liu

In the era of big data, one of the key challenges is the development of novel optimization algorithms that can accommodate vast amounts of data while at the same time satisfying constraints and limitations of the problem under study. The…

Optimization and Control · Mathematics 2019-09-27 Nicolas Loizou

The design of a statistical signal processing privacy problem is studied where the private data is assumed to be observable. In this work, an agent observes useful data $Y$, which is correlated with private data $X$, and wants to disclose…

Information Theory · Computer Science 2023-09-19 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

We propose a general statistical inference framework to capture the privacy threat incurred by a user that releases data to a passive but curious adversary, given utility constraints. We show that applying this general framework to the…

Information Theory · Computer Science 2012-10-09 Flavio du Pin Calmon , Nadia Fawaz