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We aim to speed up approximate keyword matching by storing a lightweight, fixed-size block of data for each string, called a fingerprint. These work in a similar way to hash values; however, they can be also used for matching with errors.…

数据结构与算法 · 计算机科学 2017-11-27 Aleksander Cisłak , Szymon Grabowski

Search trees are commonly used to implement access operations to a set of stored keys. If this set is static and the probabilities of membership queries are known in advance, then one can precompute an optimal search tree, namely one that…

数据结构与算法 · 计算机科学 2022-02-14 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

The k-Tree algorithm [Wagner 02] is a non-trivial algorithm for the average-case k-SUM problem that has found widespread use in cryptanalysis. Its input consists of k lists, each containing n integers from a range of size m. Wagner's…

密码学与安全 · 计算机科学 2024-10-14 Haoxing Lin , Prashant Nalini Vasudevan

Let $W^{(n)}$ be the $n$-letter word obtained by repeating a fixed word $W$, and let $R_n$ be a random $n$-letter word over the same alphabet. We show several results about the length of the longest common subsequence (LCS) between…

概率论 · 数学 2021-06-07 Boris Bukh , Christopher Cox

The avoidability, or unavoidability of patterns in words over finite alphabets has been studied extensively. A word (pattern) over a finite set is said to be unavoidable if, for all but finitely many words, there exists a morphism mapping…

形式语言与自动机理论 · 计算机科学 2019-07-16 Paul Sauer

A curious property of randomized log-space search algorithms is that their outputs are often longer than their workspace. This leads to the question: how can we reproduce the results of a randomized log space computation without storing the…

计算复杂性 · 计算机科学 2018-03-14 Ofer Grossman , Yang P. Liu

How predictable a word is can be quantified in two ways: using human responses to the cloze task or using probabilities from language models (LMs).When used as predictors of processing effort, LM probabilities outperform probabilities…

计算与语言 · 计算机科学 2026-05-27 Sathvik Nair , Byung-Doh Oh

Given a text $T$ of length $n$, we propose a deterministic online algorithm computing the sparse suffix array and the sparse longest common prefix array of $T$ in $O(c \sqrt{\lg n} + m \lg m \lg n \lg^* n)$ time with $O(m)$ words of space…

数据结构与算法 · 计算机科学 2018-03-26 Johannes Fischer , Tomohiro I , Dominik Köppl

Large language models (LLMs) successfully model natural language from vast amounts of text without the need for explicit supervision. In this paper, we investigate the efficacy of LLMs in modeling passwords. We present PassGPT, a LLM…

计算与语言 · 计算机科学 2023-06-16 Javier Rando , Fernando Perez-Cruz , Briland Hitaj

Given a language L and a nondeterministic finite automaton M, we consider whether we can determine efficiently (in the size of M) if M accepts at least one word in L, or infinitely many words. Given that M accepts at least one word in L, we…

计算复杂性 · 计算机科学 2009-04-14 Terry Anderson , John Loftus , Narad Rampersad , Nicolae Santean , Jeffrey Shallit

Complex questions that require inferencing and synthesizing information from multiple documents can be seen as a kind of topic-oriented, informative multi-document summarization where the goal is to produce a single text as a compressed…

计算与语言 · 计算机科学 2014-01-16 Yllias Chali , Shafiq Rayhan Joty , Sadid A. Hasan

Describes a near-linear-time algorithm for a variant of Huffman coding, in which the letters may have non-uniform lengths (as in Morse code), but with the restriction that each word to be encoded has equal probability. [See also ``Huffman…

数据结构与算法 · 计算机科学 2015-06-02 Mordecai Golin , Neal E. Young

In the k-mappability problem, we are given a string x of length n and integers m and k, and we are asked to count, for each length-m factor y of x, the number of other factors of length m of x that are at Hamming distance at most k from y.…

数据结构与算法 · 计算机科学 2017-05-12 Mai Alzamel , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Solon P. Pissis , Jakub Radoszewski , Wing-Kin Sung

We revisit the fundamental problem of dictionary look-up with mismatches. Given a set (dictionary) of $d$ strings of length $m$ and an integer $k$, we must preprocess it into a data structure to answer the following queries: Given a query…

数据结构与算法 · 计算机科学 2018-06-27 Paweł Gawrychowski , Gad M. Landau , Tatiana Starikovskaya

We consider an index data structure for similar strings. The generalized suffix tree can be a solution for this. The generalized suffix tree of two strings $A$ and $B$ is a compacted trie representing all suffixes in $A$ and $B$. It has…

数据结构与算法 · 计算机科学 2013-05-09 Joong Chae Na , Heejin Park , Maxime Crochemore , Jan Holub , Costas S. Iliopoulos , Laurent Mouchard , Kunsoo Park

Label ranking aims to learn a mapping from instances to rankings over a finite number of predefined labels. Random forest is a powerful and one of the most successful general-purpose machine learning algorithms of modern times. In this…

机器学习 · 计算机科学 2018-06-19 Yangming Zhou , Guoping Qiu

In an influential article Papadimitriou [FOCS 1991] proved that a local search algorithm called WalkSAT finds a satisfying assignment of a satisfiable 2-CNF with $n$ variables in $O(n^2)$ expected time. Variants of the WalkSAT algorithm…

Mastermind is in essence a search problem in which a string of symbols that is kept secret must be found by sequentially playing strings that use the same alphabet, and using the responses that indicate how close are those other strings to…

神经与进化计算 · 计算机科学 2012-07-06 J. J. Merelo , Antonio M. Mora , Carlos Cotta , Thomas P. Runarsson

Search engines like Google, Yahoo or Bing are an excellent support for finding documents, but this strength also imposes a limitation. As they are optimized for document retrieval tasks, they perform less well when it comes to more complex…

信息检索 · 计算机科学 2012-06-27 Kristiina Singer , Georg Singer , Krista Lepik , Ulrich Norbisrath , Pille Pruulmann-Vengerfeldt

In a \emph{weighted sequence}, for every position of the sequence and every letter of the alphabet a probability of occurrence of this letter at this position is specified. Weighted sequences are commonly used to represent imprecise or…

数据结构与算法 · 计算机科学 2017-08-28 Carl Barton , Tomasz Kociumaka , Chang Liu , Solon P. Pissis , Jakub Radoszewski