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The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample space. The kernel functions are a compactly supported basis…

Numerical Analysis · Mathematics 2020-08-04 Giacomo Capodaglio , Max Gunzburger

Previous approaches to learned cardinality estimation have focused on improving average estimation error, but not all estimates matter equally. Since learned models inevitably make mistakes, the goal should be to improve the estimates that…

Databases · Computer Science 2021-01-14 Parimarjan Negi , Ryan Marcus , Andreas Kipf , Hongzi Mao , Nesime Tatbul , Tim Kraska , Mohammad Alizadeh

A series of novel filters for probabilistic inference that propose an alternative way of performing Bayesian updates, called particle flow filters, have been attracting recent interest. These filters provide approximate solutions to…

Methodology · Statistics 2017-03-24 Flávio Eler De Melo , Simon Maskell , Matteo Fasiolo , Fred Daum

In this work, we present a combinatorial, deterministic single-pass streaming algorithm for the problem of maximizing a submodular function, not necessarily monotone, with respect to a cardinality constraint (SMCC). In the case the function…

Data Structures and Algorithms · Computer Science 2020-11-03 Alan Kuhnle

Sparse Blind Source Separation (sparse BSS) is a key method to analyze multichannel data in fields ranging from medical imaging to astrophysics. However, since it relies on seeking the solution of a non-convex penalized matrix factorization…

Machine Learning · Computer Science 2018-12-18 Christophe Kervazo , Jerome Bobin , Cecile Chenot

Bloom Filter is extensively deployed data structure in various applications and research domain since its inception. Bloom Filter is able to reduce the space consumption in an order of magnitude. Thus, Bloom Filter is used to keep…

Data Structures and Algorithms · Computer Science 2019-03-18 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

Big Data is the most popular emerging trends that becomes a blessing for human kinds and it is the necessity of day-to-day life. For example, Facebook. Every person involves with producing data either directly or indirectly. Thus, Big Data…

Databases · Computer Science 2019-03-18 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

Data Structures and Algorithms · Computer Science 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

Probability proportional to size (PPS) sampling schemes with a target sample size aim to produce a sample comprising a specified number $n$ of items while ensuring that each item in the population appears in the sample with a probability…

Methodology · Statistics 2024-11-14 Brian Hentschel , Peter J. Haas , Yuanyuan Tian

Cardinality estimation (CardEst) plays a significant role in generating high-quality query plans for a query optimizer in DBMS. In the last decade, an increasing number of advanced CardEst methods (especially ML-based) have been proposed…

Similarity search is the task of retrieving data items that are similar to a given query. In this paper, we introduce the time-sensitive notion of similarity search over endless data-streams (SSDS), which takes into account data quality and…

Information Retrieval · Computer Science 2017-08-08 Naama Kraus , David Carmel , Idit Keidar

A Bloom filter is a simple data structure supporting membership queries on a set. The standard Bloom filter does not support the delete operation, therefore, many applications use a counting Bloom filter to enable deletion. This paper…

Data Structures and Algorithms · Computer Science 2019-08-13 Denis Kleyko , Abbas Rahimi , Ross W. Gayler , Evgeny Osipov

We present a version of the Bloom filter data structure that supports not only the insertion, deletion, and lookup of key-value pairs, but also allows a complete listing of its contents with high probability, as long the number of key-value…

Data Structures and Algorithms · Computer Science 2015-10-06 Michael T. Goodrich , Michael Mitzenmacher

In this paper, we address the problem of sampling from a set and reconstructing a set stored as a Bloom filter. To the best of our knowledge our work is the first to address this question. We introduce a novel hierarchical data structure…

Data Structures and Algorithms · Computer Science 2019-05-15 Neha Sengupta , Amitabha Bagchi , Srikanta Bedathur , Maya Ramanath

Belief updating in Bayes nets, a well known computationally hard problem, has recently been approximated by several deterministic algorithms, and by various randomized approximation algorithms. Deterministic algorithms usually provide…

Artificial Intelligence · Computer Science 2013-02-18 Eugene Santos , Solomon Eyal Shimony , Edward Williams

Counting the number of distinct elements (cardinality) in a dataset is a fundamental problem in database management. In recent years, due to many of its modern applications, there has been significant interest to address the distinct…

Computation · Statistics 2015-03-19 Aiyou Chen , Jin Cao , Larry Shepp , Tuan Nguyen

By approximating posterior distributions with weighted samples, particle filters (PFs) provide an efficient mechanism for solving non-linear sequential state estimation problems. While the effectiveness of particle filters has been…

Machine Learning · Computer Science 2023-12-15 Xiongjie Chen , Yunpeng Li

We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

Data Structures and Algorithms · Computer Science 2021-03-09 Alan Kuhnle

Many streaming algorithms provide only a high-probability relative approximation. These two relaxations, of allowing approximation and randomization, seem necessary -- for many streaming problems, both relaxations must be employed…

Data Structures and Algorithms · Computer Science 2023-05-16 Vladimir Braverman , Robert Krauthgamer , Aditya Krishnan , Shay Sapir

In theory, Bayesian nonparametric (BNP) models are well suited to streaming data scenarios due to their ability to adapt model complexity with the observed data. Unfortunately, such benefits have not been fully realized in practice;…

Machine Learning · Statistics 2015-04-22 Alex Tank , Nicholas J. Foti , Emily B. Fox
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