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This paper explores the notion of approximate data structures, which return approximately correct answers to queries, but run faster than their exact counterparts. The paper describes approximate variants of the van Emde Boas data…

Data Structures and Algorithms · Computer Science 2015-06-02 Yossi Matias , Jeff Vitter , Neal Young

A synchronizing word of a deterministic finite complete automaton is a word whose action maps every state to a single one. Finding a shortest or a short synchronizing word is a central computational problem in the theory of synchronizing…

Formal Languages and Automata Theory · Computer Science 2022-07-13 Marek Szykuła , Adam Zyzik

Word embedding, specially with its recent developments, promises a quantification of the similarity between terms. However, it is not clear to which extent this similarity value can be genuinely meaningful and useful for subsequent tasks.…

Computation and Language · Computer Science 2018-04-05 Navid Rekabsaz , Mihai Lupu , Allan Hanbury

The problem of finding a center string that is `close' to every given string arises and has many applications in computational biology and coding theory. This problem has two versions: the Closest String problem and the Closest Substring…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming Li , Bin Ma , Lusheng Wang

In the usual trace reconstruction problem, the goal is to exactly reconstruct an unknown string of length $n$ after it passes through a deletion channel many times independently, producing a set of traces (i.e., random subsequences of the…

Data Structures and Algorithms · Computer Science 2020-12-17 Sami Davies , Miklos Z. Racz , Cyrus Rashtchian , Benjamin G. Schiffer

Modern neural networks have greatly improved performance across speech recognition benchmarks. However, gains are often driven by frequent words with limited semantic weight, which can obscure meaningful differences in word error rate, the…

Computation and Language · Computer Science 2026-04-21 Lasse Borgholt , Jakob Havtorn , Christian Igel , Lars Maaløe , Zheng-Hua Tan

Developing increasingly efficient and accurate algorithms for approximate nearest neighbor search is a paramount goal in modern information retrieval. A primary approach to addressing this question is clustering, which involves partitioning…

Information Retrieval · Computer Science 2024-12-10 Thomas Vecchiato

The string-matching field has grown at a such complicated stage that various issues come into play when studying it: data structure and algorithmic design, database principles, compression techniques, architectural features, cache and…

Data Structures and Algorithms · Computer Science 2008-01-16 Paolo Ferragina

Subgraph matching is a compute-intensive problem that asks to enumerate all the isomorphic embeddings of a query graph within a data graph. This problem is generally solved with backtracking, which recursively evolves every possible partial…

Databases · Computer Science 2020-12-29 Junya Arai , Makoto Onizuka , Yasuhiro Fujiwara , Sotetsu Iwamura

Approximate nearest neighbor search (ANNS) has become a cornerstone in modern vector database systems. Given a query vector, ANNS retrieves the closest vectors from a set of base vectors. In real-world applications, vectors are often…

Databases · Computer Science 2026-03-03 Haoxuan Xie , Siqiang Luo

Continuous word representations learned separately on distinct languages can be aligned so that their words become comparable in a common space. Existing works typically solve a least-square regression problem to learn a rotation aligning a…

Computation and Language · Computer Science 2018-09-06 Armand Joulin , Piotr Bojanowski , Tomas Mikolov , Herve Jegou , Edouard Grave

We raise the question of approximating the compressibility of a string with respect to a fixed compression scheme, in sublinear time. We study this question in detail for two popular lossless compression schemes: run-length encoding (RLE)…

Data Structures and Algorithms · Computer Science 2007-06-11 Sofya Raskhodnikova , Dana Ron , Ronitt Rubinfeld , Adam Smith

This paper describes a method to efficiently retrieve protein database sequences similar to a query sequence, while allowing for significant numbers of mutations. We call this method SEQR for SEQuence Retrieval. This approach increases the…

Genomics · Quantitative Biology 2018-11-05 David I. Hurwitz , Lianyi Han , Lewis Y. Geer

In this paper, we present a fast and strong neural approach for general purpose text matching applications. We explore what is sufficient to build a fast and well-performed text matching model and propose to keep three key features…

Computation and Language · Computer Science 2019-08-02 Runqi Yang , Jianhai Zhang , Xing Gao , Feng Ji , Haiqing Chen

Efficiently word storing and searching is an important task in computer science. An application space complexity, time complexity, and overall performance depend on this string data. Many word searching data structures and algorithms exist…

Data Structures and Algorithms · Computer Science 2019-11-06 Rahat Yeasin Emon , Sharmistha Chanda Tista

Given a pattern string $P$ of length $n$ consisting of $\delta$ distinct characters and a query string $T$ of length $m$, where the characters of $P$ and $T$ are drawn from an alphabet $\Sigma$ of size $\Delta$, the {\em exact string…

Data Structures and Algorithms · Computer Science 2015-12-14 Srikrishnan Divakaran

We consider the task of performing probabilistic inference with probabilistic logical models. Many algorithms for approximate inference with such models are based on sampling. From a logic programming perspective, sampling boils down to…

Artificial Intelligence · Computer Science 2015-03-19 Daan Fierens

Real-world vector embeddings are usually associated with extra labels, such as attributes and keywords. Many applications require the nearest neighbor search that contains specific labels, such as searching for product image embeddings…

Databases · Computer Science 2025-12-12 Mingyu Yang , Wenxuan Xia , Wentao Li , Raymond Chi-Wing Wong , Wei Wang

Machine-translated text plays an important role in modern life by smoothing communication from various communities using different languages. However, unnatural translation may lead to misunderstanding, a detector is thus needed to avoid…

Computation and Language · Computer Science 2019-04-25 Hoang-Quoc Nguyen-Son , Tran Phuong Thao , Seira Hidano , Shinsaku Kiyomoto

Recent work has demonstrated that using a carefully designed dictionary instead of a predefined one, can improve the sparsity in jointly representing a class of signals. This has motivated the derivation of learning methods for designing a…

Information Theory · Computer Science 2010-05-04 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar
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