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We present an asymptotically exact analysis of the problem of detecting communities in sparse random networks. Our results are also applicable to detection of functional modules, partitions, and colorings in noisy planted models. Using a…

Statistical Mechanics · Physics 2011-08-04 Aurelien Decelle , Florent Krzakala , Cristopher Moore , Lenka Zdeborová

The task of statistical inference, which includes the building of confidence intervals and tests for parameters and effects of interest to a researcher, is still an open area of investigation in a differentially private (DP) setting.…

Methodology · Statistics 2025-07-17 Ogonnaya Michael Romanus , Younes Boulaguiem , Roberto Molinari

This paper explores methods for verifying the properties of Binary Neural Networks (BNNs), focusing on robustness against adversarial attacks. Despite their lower computational and memory needs, BNNs, like their full-precision counterparts,…

Machine Learning · Computer Science 2025-04-16 Jianting Yang , Srećko Ðurašinović , Jean-Bernard Lasserre , Victor Magron , Jun Zhao

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

Synthetic data generation is one approach for sharing individual-level data. However, to meet legislative requirements, it is necessary to demonstrate that the individuals' privacy is adequately protected. There is no consolidated standard…

An important aspect of crowd monitoring is knowing how many people we are dealing with. Sometimes, knowing the size of a crowd in a single location and at a specific moment is enough. Matters become problematic when counting the same people…

Cryptography and Security · Computer Science 2026-04-17 Fatemeh Marzani , Thijs van Ede , Geert Heijenk , Maarten van Steen

The Gaussian mixture model is widely used in unsupervised learning, owing to its simplicity and interpretability. However, a fundamental limitation of the classical Gaussian mixture model is that it forces each observation to belong to…

Machine Learning · Statistics 2026-04-27 Huan Qing

Aggregate statistics play an important role in extracting meaningful insights from distributed data while preserving privacy. A growing number of application domains, such as healthcare, utilize these statistics in advancing research and…

Cryptography and Security · Computer Science 2024-03-25 Mohammed Alghazwi , Dewi Davies-Batista , Dimka Karastoyanova , Fatih Turkmen

Choice models, which capture popular preferences over objects of interest, play a key role in making decisions whose eventual outcome is impacted by human choice behavior. In most scenarios, the choice model, which can effectively be viewed…

Methodology · Statistics 2011-09-22 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah

Feature selection in clustering is a hard task which involves simultaneously the discovery of relevant clusters as well as relevant variables with respect to these clusters. While feature selection algorithms are often model-based through…

Tabular data typically contains private and important information; thus, precautions must be taken before they are shared with others. Although several methods (e.g., differential privacy and k-anonymity) have been proposed to prevent…

Cryptography and Security · Computer Science 2022-08-26 Jihyeon Hyeong , Jayoung Kim , Noseong Park , Sushil Jajodia

We study the problem of identifying a small set $k\sim n^\theta$, $0<\theta<1$, of infected individuals within a large population of size $n$ by testing groups of individuals simultaneously. All tests are conducted concurrently. The goal is…

Discrete Mathematics · Computer Science 2025-03-05 Amin Coja-Oghlan , Max Hahn-Klimroth , Lukas Hintze , Dominik Kaaser , Lena Krieg , Maurice Rolvien , Olga Scheftelowitsch

Industry-scale recommender systems face a core challenge: representing entities with high cardinality, such as users or items, using dense embeddings that must be accessible during both training and inference. However, as embedding sizes…

Information Retrieval · Computer Science 2025-05-19 Petr Kasalický , Martin Spišák , Vojtěch Vančura , Daniel Bohuněk , Rodrigo Alves , Pavel Kordík

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

Methodology · Statistics 2024-03-11 Ryan Thompson , Farshid Vahid

Community detection tasks have received a lot of attention across statistics, machine learning, and information theory with a large body of work concentrating on theoretical guarantees for the stochastic block model. One line of recent work…

Methodology · Statistics 2019-11-06 Heather Mathews , Vaishakhi Mayya , Alexander Volfovsky , Galen Reeves

We conduct a sequential social-learning experiment where subjects each guess a hidden state based on private signals and the guesses of a subset of their predecessors. A network determines the observable predecessors, and we compare…

Theoretical Economics · Economics 2021-05-21 Krishna Dasaratha , Kevin He

Clustering is a ubiquitous problem in data science and signal processing. In many applications where we observe noisy signals, it is common practice to first denoise the data, perhaps using wavelet denoising, and then to apply a clustering…

Machine Learning · Statistics 2021-11-03 Michael Weylandt , T. Mitchell Roddenberry , Genevera I. Allen

The Bloom filter is a simple yet space-efficient probabilistic data structure that supports membership queries for dramatically large datasets. It is widely utilized and implemented across various industrial scenarios, often handling…

Cryptography and Security · Computer Science 2026-01-26 Yekun Ke , Yingyu Liang , Zhizhou Sha , Zhenmei Shi , Zhao Song , Jiahao Zhang

Private selection algorithms, such as the Exponential Mechanism, Noisy Max and Sparse Vector, are used to select items (such as queries with large answers) from a set of candidates, while controlling privacy leakage in the underlying data.…

Databases · Computer Science 2020-12-04 Zeyu Ding , Yuxin Wang , Yingtai Xiao , Guanhong Wang , Danfeng Zhang , Daniel Kifer

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

Machine Learning · Computer Science 2019-07-19 Manolis C. Tsakiris , Rene Vidal
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