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The Distributed Bloom Filter is a space-efficient, probabilistic data structure designed to perform more efficient set reconciliations in distributed systems. It guarantees eventual consistency of states between nodes in a system, while…

Data Structures and Algorithms · Computer Science 2020-02-20 Lum Ramabaja , Arber Avdullahu

Organizations increasingly deploy multiple AI systems across task domains, but selecting a small, high-performing ensemble can require costly model calls, benchmark runs, and human evaluation. We study this selection problem as a…

Computer Science and Game Theory · Computer Science 2026-05-12 Tzeh Yuan Neoh , Nicholas Teh , Je Qin Chooi , Paul W. Goldberg , Milind Tambe

In this paper, we present an implementation of a cuckoo filter for membership testing, optimized for distributed data stores operating in high workloads. In large databases, querying becomes inefficient using traditional search methods. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Aman Khalid

A Bloom Filter is a probabilistic data structure designed to check, rapidly and memory-efficiently, whether an element is present in a set. It has been vastly used in various computing areas and several variants, allowing deletions, dynamic…

Data Structures and Algorithms · Computer Science 2023-06-13 Ana Rodrigues , Ariel Shtul , Carlos Baquero , Paulo Sérgio Almeida

Stochastic filtering refers to estimating the probability distribution of the latent stochastic process conditioned on the observed measurements in time. In this paper, we introduce a new class of convergent filters that represent the…

Methodology · Statistics 2023-03-27 Zheng Zhao , Juha Sarmavuori

Set-membership estimation is usually formulated in the context of set-valued calculus and no probabilistic calculations are necessary. In this paper, we show that set-membership estimation can be equivalently formulated in the probabilistic…

Optimization and Control · Mathematics 2016-04-13 Alessio Benavoli , Dario Piga

The measurement of the efficiency of an event selection is always an important part of the analysis of experimental data. The statistical techniques which are needed to determine the efficiency and its uncertainty are reviewed. Frequentist…

Data Analysis, Statistics and Probability · Physics 2012-08-28 Diego Casadei

We consider Gibbs distributions, which are families of probability distributions over a discrete space $\Omega$ with probability mass function of the form $\mu^\Omega_\beta(\omega) \propto e^{\beta H(\omega)}$ for $\beta$ in an interval…

Data Structures and Algorithms · Computer Science 2025-04-04 David G. Harris , Vladimir Kolmogorov

Matrix factorization (MF) has become a common approach to collaborative filtering, due to ease of implementation and scalability to large data sets. Two existing drawbacks of the basic model is that it does not incorporate side information…

Machine Learning · Statistics 2014-07-30 Cody Severinski , Ruslan Salakhutdinov

The ratio of cumulant to factorial moments of experimental multiplicity distributions has been calculated for $e^{+}e^{-}$ and $hh$ interactions in a wide range of energies. As a function of the rank it exhibits an initial steep decrease…

High Energy Physics - Experiment · Physics 2009-10-22 I. M. Dremin , V. Arena , G. Boca , G. Gianini , S. Malvezzi , M. Merlo , S. P. Ratti , C. Riccardi , G. Salvadori , L. Viola , P. Vitulo

A Bloom filter is a space efficient structure for storing static sets, where the space efficiency is gained at the expense of a small probability of false-positives. A Bloomier filter generalizes a Bloom filter to compactly store a function…

Data Structures and Algorithms · Computer Science 2008-07-08 Denis Charles , Kumar Chellapilla

Filters (such as Bloom Filters) are data structures that speed up network routing and measurement operations by storing a compressed representation of a set. Filters are space efficient, but can make bounded one-sided errors: with tunable…

Data Structures and Algorithms · Computer Science 2021-05-25 Tsvi Kopelowitz , Samuel McCauley , Ely Porat

Bloom filters are probabilistic data structures commonly used for approximate membership problems in many areas of Computer Science (networking, distributed systems, databases, etc.). With the increase in data size and distribution of data,…

Databases · Computer Science 2016-09-22 Adina Crainiceanu , Daniel Lemire

Multilevel selection and the evolution of cooperation are fundamental to the formation of higher-level organisation and the evolution of biocomplexity, but such notions are controversial and poorly understood in natural populations. The…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Christopher Heys , Richard A. Watson

A Bloom filter is a widely used data-structure for representing a set $S$ and answering queries of the form "Is $x$ in $S$?". By allowing some false positive answers (saying "yes" when the answer is in fact `no') Bloom filters use space…

Data Structures and Algorithms · Computer Science 2016-11-03 Mayank Goswami , Rasmus Pagh , Francesco Silvestri , Johan Sivertsen

The ratio of cumulant to factorial moments of multiplicity distribu- tions has been calculated for e+e- and hh data in a wide range of energies. As a function of the rank it exhibits a regular behaviour with a steep descent and two negative…

High Energy Physics - Phenomenology · Physics 2009-09-25 G. Gianini , I. M. Dremin , V. A. Nechitailo , B. B. Levchenko , V. Arena , G. Boca , S. Malvezzi , M. Merlo , S. P. Ratti , C. Riccardi , G. Salvadori , L. Viola , P. Vitulo

We revisit a version of the classic occupancy scheme, where balls are thrown until almost all boxes receive a given number of balls. Special cases are widely known as coupon-collectors and dixie cup problems. We show that as the number of…

Probability · Mathematics 2025-06-26 Alexander Gnedin , Svante Janson , Yaakov Malinovsky

In the $k$-committee election problem, we wish to aggregate the preferences of $n$ agents over a set of alternatives and select a committee of $k$ alternatives that minimizes the cost incurred by the agents. While we typically assume that…

Computer Science and Game Theory · Computer Science 2025-02-07 Haripriya Pulyassary , Chaitanya Swamy

Bloom filter is a compact memory-efficient probabilistic data structure supporting membership testing, i.e., to check whether an element is in a given set. However, as Bloom filter maps each element with uniformly random hash functions, few…

Databases · Computer Science 2021-06-15 Rongbiao Xie , Meng Li , Zheyu Miao , Rong Gu , He Huang , Haipeng Dai , Guihai Chen

Probabilistic programming languages and other machine learning applications often require samples to be generated from a categorical distribution where the probability of each one of $n$ categories is specified as a parameter. If the…

Data Structures and Algorithms · Computer Science 2019-06-28 Daniel Tang