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Non-blocking search data structures offer scalability with a progress guarantee on high-performance multi-core architectures. In the recent past, "learned queries" have gained remarkable attention. It refers to predicting the rank of a key…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-23 Gaurav Bhardwaj , Bapi Chatterjee , Abhinav Sharma , Sathya Peri , Siddharth Nayak

In this paper we consider the problem of locating a nonzero entry in a high-dimensional vector from possibly adaptive linear measurements. We consider a recursive bisection method which we dub the compressive binary search and show that it…

Information Theory · Computer Science 2012-06-01 Mark A. Davenport , Ery Arias-Castro

In computer science, sorting algorithms are crucial for data processing and machine learning. Large datasets and high efficiency requirements provide challenges for comparison-based algorithms like Quicksort and Merge sort, which achieve…

Data Structures and Algorithms · Computer Science 2024-10-01 Amin Amini

The genome rearrangement problem computes the minimum number of operations that are required to sort all elements of a permutation. A block-interchange operation exchanges two blocks of a permutation which are not necessarily adjacent and…

Data Structures and Algorithms · Computer Science 2019-06-13 Md. Khaledur Rahman , M. Sohel Rahman

Bit vectors with support for fast rank and select are a fundamental building block for compressed data structures. We close a gap between theory and practice by analyzing an important part of the design space and experimentally evaluating a…

Data Structures and Algorithms · Computer Science 2025-09-23 Florian Kurpicz , Niccolò Rigi-Luperti , Peter Sanders

We give a (strongly) history-independent two-choice balls-and-bins algorithm on $n$ bins that supports both insertions and deletions on a set of up to $m$ balls, while guaranteeing a maximum load of $m / n + O(1)$ with high probability, and…

Data Structures and Algorithms · Computer Science 2026-02-13 Michael A. Bender , William Kuszmaul , Elaine Shi , Rose Silver

Strings are widely used in programs, especially in web applications. Integer data type occurs naturally in string-manipulating programs, and is frequently used to refer to lengths of, or positions in, strings. Analysis and testing of…

Logic in Computer Science · Computer Science 2020-07-15 Taolue Chen , Matthew Hague , Jinlong He , Denghang Hu , Anthony Widjaja Lin , Philipp Rummer , Zhilin Wu

We formulate the loop-free, binary superoptimization task as a stochastic search problem. The competing constraints of transformation correctness and performance improvement are encoded as terms in a cost function, and a Markov Chain Monte…

Performance · Computer Science 2012-11-06 Eric Schkufza , Rahul Sharma , Alex Aiken

An algorithm counting the number of ones in a binary word is presented running in time $O(\log\log b)$ where $b$ is the number of ones. The operations available include bit-wise logical operations and multiplication.

Data Structures and Algorithms · Computer Science 2015-06-12 Holger Petersen

This paper explores necessary and sufficient system conditions to solve distributed tasks with binary outputs (\textit{i.e.}, tasks with output values in $\{0,1\}$). We focus on the distinct output sets of values a task can produce…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-16 Timothé Albouy , Antonio Fernández Anta , Chryssis Georgiou , Nicolas Nicolaou , Junlang Wang

Augmented B-trees (aB-trees) are a broad class of data structures. The seminal work "succincter" by Patrascu showed that any aB-tree can be stored using only two bits of redundancy, while supporting queries to the tree in time proportional…

Data Structures and Algorithms · Computer Science 2023-09-25 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

Optimization and Control · Mathematics 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

The order statistics based list decoding techniques for linear binary block codes of small to medium block length are investigated. The construction of the list of the test error patterns is considered. The original order statistics…

Information Theory · Computer Science 2011-01-27 Saif E. A. Alnawayseh , Pavel Loskot

In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

Data Structures and Algorithms · Computer Science 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

Ordered set (and map) is one of the most used data type. In addition to standard set operations, like insert, delete and contains, it can provide set-set operations such as union, intersection, and difference. Each of these set-set…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Vitaly Aksenov , Ilya Kokorin , Alena Martsenyuk

The performance of a dynamic dictionary is measured mainly by its update time, lookup time, and space consumption. In terms of update time and lookup time there are known constructions that guarantee constant-time operations in the worst…

Data Structures and Algorithms · Computer Science 2015-03-13 Yuriy Arbitman , Moni Naor , Gil Segev

We describe arithmetic computations in terms of operations on some well known free algebras (S1S, S2S and ordered rooted binary trees) while emphasizing the common structure present in all them when seen as isomorphic with the set of…

Mathematical Software · Computer Science 2013-01-03 Paul Tarau

In this paper we present an implicit dynamic dictionary with the working-set property, supporting insert(e) and delete(e) in O(log n) time, predecessor(e) in O(log l_{p(e)}) time, successor(e) in O(log l_{s(e)}) time and search(e) in O(log…

Data Structures and Algorithms · Computer Science 2012-07-05 Gerth Stølting Brodal , Casper Kejlberg-Rasmussen

The emergence of systems with non-volatile main memory (NVM) increases the interest in the design of \emph{recoverable concurrent objects} that are robust to crash-failures, since their operations are able to recover from such failures by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Ohad Ben-Baruch , Danny Hendler , Matan Rusanovsky

This study addresses the challenge of reverse engineering binaries from unknown instruction set architectures, a complex task with potential implications for software maintenance and cyber-security. We focus on the tasks of detecting…

Cryptography and Security · Computer Science 2024-01-17 Håvard Pettersen , Donn Morrison