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Database indexes facilitate data retrieval and benefit broad applications in real-world systems. Recently, a new family of index, named learned index, is proposed to learn hidden yet useful data distribution and incorporate such information…

数据库 · 计算机科学 2021-01-05 Yaliang Li , Daoyuan Chen , Bolin Ding , Kai Zeng , Jingren Zhou

Motivated by the philosophy and phenomenal success of compressed sensing, the problem of reconstructing a matrix from a sampling of its entries has attracted much attention recently. Such a problem can be viewed as an information-theoretic…

信息论 · 计算机科学 2009-05-15 Zhisu Zhu , Anthony Man-Cho So , Yinyu Ye

The Binary Jumbled String Matching problem is defined as: Given a string $s$ over $\{a,b\}$ of length $n$ and a query $(x,y)$, with $x,y$ non-negative integers, decide whether $s$ has a substring $t$ with exactly $x$ $a$'s and $y$ $b$'s.…

数据结构与算法 · 计算机科学 2013-06-03 Golnaz Badkobeh , Gabriele Fici , Steve Kroon , Zsuzsanna Lipták

Establishing a docker-based replicability infrastructure offers the community a great opportunity: measuring the run time of information retrieval systems. The time required to present query results to a user is paramount to the users…

信息检索 · 计算机科学 2019-07-11 Sebastian Hofstätter , Allan Hanbury

Dense subgraph search in bipartite graphs is a fundamental problem in graph analysis, with wide-ranging applications in fraud detection, recommendation systems, and social network analysis. The recently proposed $(\alpha, \beta)$-dense…

数据库 · 计算机科学 2025-08-27 Yalong Zhang , Rong-Hua Li , Qi Zhang , Guoren Wang

Suppose we are asked to index a text $T [0..n - 1]$ such that, given a pattern $P [0..m - 1]$, we can quickly report the maximal substrings of $P$ that each occur in $T$ at least $k$ times. We first show how we can add $O (r \log n)$ bits…

数据结构与算法 · 计算机科学 2022-12-22 Igor Tatarnikov , Ardavan Shahrabi Farahani , Sana Kashgouli , Travis Gagie

Matrices satisfying the Restricted Isometry Property (RIP) play an important role in the areas of compressed sensing and statistical learning. RIP matrices with optimal parameters are mainly obtained via probabilistic arguments, as explicit…

机器学习 · 计算机科学 2019-11-01 Shiva Prasad Kasiviswanathan , Mark Rudelson

The suffix array $SA[1..n]$ of a text $T$ of length $n$ is a permutation of $\{1,\ldots,n\}$ describing the lexicographical ordering of suffixes of $T$, and it is considered to be among of the most important data structures in string…

数据结构与算法 · 计算机科学 2022-06-17 Dominik Kempa , Tomasz Kociumaka

We investigate the limits of one of the fundamental ideas in data structures: fractional cascading. This is an important data structure technique to speed up repeated searches for the same key in multiple lists and it has numerous…

数据结构与算法 · 计算机科学 2020-11-05 Peyman Afshani

Let $\D = $$ \{d_1,d_2,...d_D\}$ be a given set of $D$ string documents of total length $n$, our task is to index $\D$, such that the $k$ most relevant documents for an online query pattern $P$ of length $p$ can be retrieved efficiently. We…

数据结构与算法 · 计算机科学 2012-04-03 Wing-Kai Hon , Rahul Shah , Sharma V. Thankachan

Convergence guarantees of many resilient consensus algorithms are based on the graph theoretic properties of $r$- and $(r,s)$-robustness. These algorithms guarantee consensus of normally behaving agents in the presence of a bounded number…

系统与控制 · 计算机科学 2019-06-21 James Usevitch , Dimitra Panagou

Ranking lists are often provided at regular time intervals in a range of applications, including economics, sports, marketing, and politics. Most popular methods for rank-order data postulate a linear specification for the latent scores,…

统计方法学 · 统计学 2025-12-09 Matteo Iacopini , Eoghan O'Neill , Luca Rossini

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

数据结构与算法 · 计算机科学 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

Large reasoning models, such as OpenAI o1 and DeepSeek-R1, tend to become increasingly verbose as their reasoning capabilities improve. These inflated Chain-of-Thought (CoT) trajectories often exceed what the underlying problems require,…

机器学习 · 计算机科学 2026-05-12 Songtao Wei , Yi Li , Zhikai Li , Xu Hu , Yuede Ji , Guanpeng Li , Feng Chen , Carl Yang , Zhichun Guo , Bingzhe Li

Dynamic trees are a well-studied and fundamental building block of dynamic graph algorithms dating back to the seminal work of Sleator and Tarjan [STOC'81, (1981), pp. 114-122]. The problem is to maintain a tree subject to online edge…

数据结构与算法 · 计算机科学 2023-06-16 Daniel Anderson , Guy E. Blelloch

Inverted indexes are vital in providing fast key-word-based search. For every term in the document collection, a list of identifiers of documents in which the term appears is stored, along with auxiliary information such as term frequency,…

信息检索 · 计算机科学 2019-01-30 Harrie Oosterhuis , J. Shane Culpepper , Maarten de Rijke

Change point analysis is concerned with detecting and locating structure breaks in the underlying model of a sequence of observations ordered by time, space or other variables. A widely adopted approach for change point analysis is to…

统计方法学 · 统计学 2024-04-10 Xingchi Li , Xianyang Zhang

A guided tour helps to visualise high-dimensional data by showing low-dimensional projections along a projection pursuit optimisation path. Projection pursuit is a generalisation of principal component analysis, in the sense that different…

统计计算 · 统计学 2024-01-11 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

This paper focuses on an online version of the emerging distributed constrained aggregative optimization framework, which is particularly suited for applications arising in cooperative robotics. Agents in a network want to minimize the sum…

最优化与控制 · 数学 2023-09-13 Guido Carnevale , Andrea Camisa , Giuseppe Notarstefano

The longitudinal evaluation of retrieval systems aims to capture how information needs and documents evolve over time. However, classical Cranfield-style retrieval evaluations only consist of a static set of queries and documents and…

信息检索 · 计算机科学 2025-09-23 Jüri Keller , Maik Fröbe , Gijs Hendriksen , Daria Alexander , Martin Potthast , Philipp Schaer
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