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The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructed efficiently if either fast algorithms for applying the…

Numerical Analysis · Mathematics 2016-01-21 Yingzhou Li , Haizhao Yang , Eileen Martin , Kenneth Ho , Lexing Ying

This paper considers the basic question of how strong of a probabilistic guarantee can a hash table, storing $n$ $(1 + \Theta(1)) \log n$-bit key/value pairs, offer? Past work on this question has been bottlenecked by limitations of the…

Data Structures and Algorithms · Computer Science 2022-09-19 William Kuszmaul

Applications involving telecommunication call data records, web pages, online transactions, medical records, stock markets, climate warning systems, etc., necessitate efficient management and processing of such massively exponential amount…

Information Retrieval · Computer Science 2012-12-18 Suman K. Bera , Sourav Dutta , Ankur Narang , Souvik Bhattacherjee

We study the convex-hull problem in a probabilistic setting, motivated by the need to handle data uncertainty inherent in many applications, including sensor databases, location-based services and computer vision. In our framework, the…

Computational Geometry · Computer Science 2014-06-26 Pankaj K. Agarwal , Sariel Har-Peled , Subhash Suri , Hakan Yildiz , Wuzhou Zhang

Increasing number of filters in deeper layers when feature maps are decreased is a widely adopted pattern in convolutional network design. It can be found in classical CNN architectures and in automatic discovered models. Even CNS methods…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Ramon Izquierdo-Cordova , Walterio Mayol-Cuevas

Taxonomies represent an arborescence hierarchical structure that establishes relationships among entities to convey knowledge within a specific domain. Each edge in the taxonomy signifies a hypernym-hyponym relationship. Taxonomies find…

Computation and Language · Computer Science 2024-02-22 Sahil Mishra , Ujjwal Sudev , Tanmoy Chakraborty

Many complex systems are modular. Such systems can be represented as "component systems", i.e., sets of elementary components, such as LEGO bricks in LEGO sets. The bricks found in a LEGO set reflect a target architecture, which can be…

Genomics · Quantitative Biology 2018-04-24 Andrea Mazzolini , Marco Gherardi , Michele Caselle , Marco Cosentino Lagomarsino , Matteo Osella

The Fuzzy Gene Filter (FGF) is an optimised Fuzzy Inference System designed to rank genes in order of differential expression, based on expression data generated in a microarray experiment. This paper examines the effectiveness of the FGF…

Machine Learning · Computer Science 2011-08-24 Meir Perez , Tshilidzi Marwala

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

Data Structures and Algorithms · Computer Science 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

A password composition policy restricts the space of allowable passwords to eliminate weak passwords that are vulnerable to statistical guessing attacks. Usability studies have demonstrated that existing password composition policies can…

Cryptography and Security · Computer Science 2013-02-26 Jeremiah Blocki , Saranga Komanduri , Ariel Procaccia , Or Sheffet

This paper deals with the problem of identifying elephants in the Internet Traffic. The aim is to analyze a new adaptive algorithm based on a Bloom Filter. This algorithm uses a so-called min-rule which can be described as in the…

Discrete Mathematics · Computer Science 2009-03-13 Yousra Chabchoub , Christine Fricker , Hanene Mohamed

Detection of false-positive motifs is one of the main causes of low performance in motif finding methods. It is generally assumed that false-positives are mostly due to algorithmic weakness of motif-finders. Here, however, we derive the…

Genomics · Quantitative Biology 2010-12-23 Amin Zia , Alan M. Moses

Substructure search in chemical compound databases is a fundamental task in cheminformatics with critical implications for fields such as drug discovery, materials science, and toxicology. However, the increasing size and complexity of…

Databases · Computer Science 2023-10-04 Vsevolod Vaskin , Dmitri Jakovlev , Fedor Bakharev

It is widely known that there is a lot of useful information hidden in big data, leading to a new saying that "data is money." Thus, it is prevalent for individuals to mine crucial information for utilization in many real-world…

Databases · Computer Science 2021-04-01 Chien-Ming Chen , Lili Chen , Wensheng Gan , Lina Qiu , Weiping Ding

Matrix completion and approximation are popular tools to capture a user's preferences for recommendation and to approximate missing data. Instead of using low-rank factorization we take a drastically different approach, based on the simple…

Machine Learning · Computer Science 2015-01-05 Alex Beutel , Amr Ahmed , Alexander J. Smola

With the use of deep learning in many areas, how to improve this technology or how to develop the structure used more effectively and in a shorter time is an issue that is of interest to many people working in this field. Many studies are…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Yunus Camgözlü , Yakup Kutlu

Queries with aggregation and arithmetic operations, as well as incomplete data, are common in real-world database, but we lack a good understanding of how they should interact. On the one hand, systems based on SQL provide ad-hoc rules for…

Databases · Computer Science 2022-11-02 Marco Console , Leonid Libkin , Liat Peterfreund

Ascertaining the feasibility of independent falsification or repetition of published results is vital to the scientific process, and replication or reproduction experiments are routinely performed in many disciplines. Unfortunately, such…

Databases · Computer Science 2020-09-11 Dimitri Braininger , Wolfgang Mauerer , Stefanie Scherzinger

Random access remains a central bottleneck in DNA-based data storage. Existing systems typically retrieve records by PCR enrichment or other multi-step biochemical procedures, which do not naturally support fast, massively parallel,…

Data Structures and Algorithms · Computer Science 2026-01-30 Faruk Alpay , Levent Sarioglu

We present a new algorithm for the approximate near neighbor problem that combines classical ideas from group testing with locality-sensitive hashing (LSH). We reduce the near neighbor search problem to a group testing problem by…

Data Structures and Algorithms · Computer Science 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava
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