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To increase the computational efficiency of interest-point based object retrieval, researchers have put remarkable research efforts into improving the efficiency of kNN-based feature matching, pursuing to match thousands of features against…

计算机视觉与模式识别 · 计算机科学 2015-08-19 Johannes Niedermayer , Peer Kröger

Graphs with high symmetry or regularity are the main source for experimentally hard instances of the notoriously difficult graph isomorphism problem. In this paper, we study the computational complexity of isomorphism testing for line…

计算复杂性 · 计算机科学 2018-07-03 Michael Huber

The demand for innovative synthetic polymers with improved properties is high, but their structural complexity and vast design space hinder rapid discovery. Machine learning-guided molecular design is a promising approach to accelerate…

软凝聚态物质 · 物理学 2024-10-07 Gabriel Vogel , Jana M. Weber

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…

数据结构与算法 · 计算机科学 2016-04-22 Peyman Afshani , Jesper Sindahl Nielsen

This paper deals with scalar linear index codes for canonical multiple unicast index coding problems where there is a source with K messages and there are K receivers each wanting a unique message and having symmetric (with respect to the…

信息论 · 计算机科学 2015-10-30 Roop Kumar Bhattaram , Mahesh Babu Vaddi , B. Sundar Rajan

Traditional k-means clustering underperforms on non-convex shapes and requires the number of clusters k to be specified in advance. We propose a simple geometric enhancement: after standard k-means, each cluster center is assigned a radius…

机器学习 · 计算机科学 2025-04-30 Stefan Kober

We study the problem of computing a conjunctive query q in parallel, using p of servers, on a large database. We consider algorithms with one round of communication, and study the complexity of the communication. We are especially…

数据库 · 计算机科学 2014-01-10 Paul Beame , Paraschos Koutris , Dan Suciu

Searching for similar logos in the registered logo database is a very important and tedious task at the trademark office. Speed and accuracy are two aspects that one must attend to while developing a system for retrieval of logos. In this…

计算机视觉与模式识别 · 计算机科学 2019-04-11 Ushasi Chaudhuri , Partha Bhowmick , Jayanta Mukhopadhyay

Representing sorted integer sequences in small space is a central problem for large-scale retrieval systems such as Web search engines. Efficient query resolution, e.g., intersection or random access, is achieved by carefully partitioning…

信息检索 · 计算机科学 2019-07-23 Giulio Ermanno Pibiri

Matroids are a fundamental object of study in combinatorial optimization. Three closely related and important problems involving matroids are maximizing the size of the union of $k$ independent sets (that is, $k$-fold matroid union),…

数据结构与算法 · 计算机科学 2023-03-03 Kent Quanrud

This work focuses on the definition and study of the n-dimensional k-vector, an algorithm devised to perform orthogonal range searching in static databases with multiple dimensions. The methodology first finds the order in which to search…

数据结构与算法 · 计算机科学 2020-04-07 David Arnas , Carl Leake , Daniele Mortari

We investigate $k$-means clustering in the online no-substitution setting when the input arrives in \emph{arbitrary} order. In this setting, points arrive one after another, and the algorithm is required to instantly decide whether to take…

数据结构与算法 · 计算机科学 2023-01-19 Robi Bhattacharjee , Michal Moshkovitz

We develop and analyze a method to reduce the size of a very large set of data points in a high dimensional Euclidean space R d to a small set of weighted points such that the result of a predetermined data analysis task on the reduced set…

数据结构与算法 · 计算机科学 2018-07-13 Dan Feldman , Melanie Schmidt , Christian Sohler

Metasurfaces are an emerging technology that may supplant many of the conventional optics found in imaging devices, displays, and precision scientific instruments. Here, we develop a method for designing optical systems composed of multiple…

光学 · 物理学 2019-10-23 Adam S. Backer

We consider the $k$-means clustering problem in the dynamic streaming setting, where points from a discrete Euclidean space $\{1, 2, \ldots, \Delta\}^d$ can be dynamically inserted to or deleted from the dataset. For this problem, we…

数据结构与算法 · 计算机科学 2019-02-08 Wei Hu , Zhao Song , Lin F. Yang , Peilin Zhong

Approximate $k$ nearest neighbor (AKNN) search in high-dimensional space is a foundational problem in vector databases with widespread applications. Among the numerous AKNN indexes, Proximity Graph-based indexes achieve state-of-the-art…

数据库 · 计算机科学 2026-02-20 Liuchang Jing , Mingyu Yang , Lei Li , Jianbin Qin , Wei Wang

Modern trends in data collection are bringing current mainstream techniques for database query processing to their limits. Consequently, various novel approaches for efficient query processing are being actively studied. One such approach…

数据库 · 计算机科学 2022-04-13 Georg Gottlob , Matthias Lanzinger , Cem Okulmus , Reinhard Pichler

$k$-core is a subgraph where every node has at least $k$ neighbors within the subgraph. The $k$-core subgraphs has been employed in large platforms like Network Repository to comprehend the underlying structures and dynamics of the network.…

数据结构与算法 · 计算机科学 2024-03-15 Yiping Liu , Bo Yan , Bo Zhao , Hongyi Su , Yang Chen , Michael Witbrock

Given a random binary picture $P_n$ of size $n$, i.e., an $n\times n$ grid filled with zeros and ones uniformly at random, when is it possible to reconstruct $P_n$ from its $k$-deck, i.e., the multiset of all its $k\times k$ subgrids? We…

组合数学 · 数学 2025-01-29 Bhargav Narayanan , Corrine Yap

Advances made to the traditional clustering algorithms solves the various problems such as curse of dimensionality and sparsity of data for multiple attributes. The traditional H-K clustering algorithm can solve the randomness and apriority…

数据库 · 计算机科学 2015-01-13 Rashmi Paithankar , Bharat Tidke
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