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We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski

We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an $n$-point data set in a $d$-dimensional space our data structure achieves query time $O(d n^{\rho+o(1)})$ and space $O(n^{1+\rho+o(1)} +…

Data Structures and Algorithms · Computer Science 2015-07-17 Alexandr Andoni , Ilya Razenshteyn

Hashing has proven a valuable tool for large-scale information retrieval. Despite much success, existing hashing methods optimize over simple objectives such as the reconstruction error or graph Laplacian related loss functions, instead of…

Machine Learning · Computer Science 2014-07-07 Guosheng Lin , Chunhua Shen , Jianxin Wu

We suggest a new non-recursive algorithm for constructing a binary search tree given an array of numbers. The algorithm has $O(N)$ time and $O(1)$ memory complexity if the given array of $N$ numbers is sorted. The resulting tree is of…

Data Structures and Algorithms · Computer Science 2022-07-20 Pavel S. Ruzankin

We consider anti-unification for simply typed lambda terms in associative, commutative, and associative-commutative theories and develop a sound and complete algorithm which takes two lambda terms and computes their generalizations in the…

Logic in Computer Science · Computer Science 2022-08-02 David M. Cerna , Temur Kutsia

In this paper we present a lock-free version of Hopscotch Hashing. Hopscotch Hashing is an open addressing algorithm originally proposed by Herlihy, Shavit, and Tzafrir, which is known for fast performance and excellent cache locality. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-11 Robert Kelly , Barak A. Pearlmutter , Phil Maguire

We propose a general framework for end-to-end learning of data structures. Our framework adapts to the underlying data distribution and provides fine-grained control over query and space complexity. Crucially, the data structure is learned…

Machine Learning · Computer Science 2024-11-06 Omar Salemohamed , Laurent Charlin , Shivam Garg , Vatsal Sharan , Gregory Valiant

In the era of big data, methods for improving memory and computational efficiency have become crucial for successful deployment of technologies. Hashing is one of the most effective approaches to deal with computational limitations that…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Sobhan Hemati , Mohammad Hadi Mehdizavareh , Shojaeddin Chenouri , Hamid R Tizhoosh

We present a method that maintains a balanced binary search tree without using any tree balance criterion at all, with the ultimate aim of maximum simplicity. In fact, our method is highly intuitive, and we only need to add minimal extra…

Data Structures and Algorithms · Computer Science 2019-08-09 Tae Woo Kim

We propose a general framework for reconstructing and denoising single entries of incomplete and noisy entries. We describe: effective algorithms for deciding if and entry can be reconstructed and, if so, for reconstructing and denoising…

Machine Learning · Statistics 2013-04-02 Franz J. Király , Louis Theran

This paper proposes round-hashing, which is suitable for data storage on distributed servers and for implementing external-memory tables in which each lookup retrieves at most a single block of external memory, using a stash. For data…

Data Structures and Algorithms · Computer Science 2018-05-09 Roberto Grossi , Luca Versari

This paper presents DLHT, a concurrent in-memory hashtable. Despite efforts to optimize hashtables, that go as far as sacrificing core functionality, state-of-the-art designs still incur multiple memory accesses per request and block…

Databases · Computer Science 2024-06-17 Antonios Katsarakis , Vasilis Gavrielatos , Nikos Ntarmos

We introduce a new family of priority-queue data structures: partition-based simple heaps. The structures consist of $O(\log n)$ doubly-linked lists; order is enforced among data in different lists, but the individual lists are unordered.…

Data Structures and Algorithms · Computer Science 2026-03-03 Gerth Stølting Brodal , John Iacono , Casper Moldrup Rysgaard , Sebastian Wild

A history-independent data structure does not reveal the history of operations applied to it, only its current logical state, even if its internal state is examined. This paper studies history-independent concurrent dictionaries, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-28 Hagit Attiya , Michael A. Bender , Martín Farach-Colton , Rotem Oshman , Noa Schiller

One of the basic tasks for Bayesian networks (BNs) is that of learning a network structure from data. The BN-learning problem is NP-hard, so the standard solution is heuristic search. Many approaches have been proposed for this task, but…

Machine Learning · Computer Science 2012-07-09 Marc Teyssier , Daphne Koller

A recent work shows how we can optimize a tree based mode of operation for a rate 1 hash function. In particular, an algorithm and a theorem are presented for selecting a good tree topology in order to optimize both the running time and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-15 Kevin Atighehchi

We study data structure problems related to document indexing and pattern matching queries and our main contribution is to show that the pointer machine model of computation can be extremely useful in proving high and unconditional lower…

Data Structures and Algorithms · Computer Science 2016-04-22 Peyman Afshani , Jesper Sindahl Nielsen

A critical component in the implementation of a concurrent tabling system is the design of the table space. One of the most successful proposals for representing tables is based on a two-level trie data structure, where one trie level…

Programming Languages · Computer Science 2014-05-15 Miguel Areias , Ricardo Rocha

The issue of internal fragmentation in data structures is a fundamental challenge in database design. A seminal result of Yao in this field shows that evenly splitting the leaves of a B-tree against a workload of uniformly random insertions…

Data Structures and Algorithms · Computer Science 2026-03-13 Michael A. Bender , Aaron Bernstein , Nairen Cao , Alex Conway , Martín Farach-Colton , Hanna Komlós , Yarin Shechter , Nicole Wein

Current tabling systems suffer from an increase in space complexity, time complexity or both when dealing with sequences due to the use of data structures for tabled subgoals and answers and the need to copy terms into and from the table…

Programming Languages · Computer Science 2012-10-08 Neng-Fa Zhou , Christian Theil Have