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Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi\'{c}'s and Winkler's relations play an important role in the theory of partial cubes. These structures are employed in the…

组合数学 · 数学 2007-05-23 Sergei Ovchinnikov

Compressed bitmap indexes are used to speed up simple aggregate queries in databases. Indeed, set operations like intersections, unions and complements can be represented as logical operations (AND,OR,NOT) that are ideally suited for…

数据库 · 计算机科学 2016-01-11 Owen Kaser , Daniel Lemire

We describe a new logical data model, called the concept-oriented model (COM). It uses mathematical functions as first-class constructs for data representation and data processing as opposed to using exclusively sets in conventional…

数据库 · 计算机科学 2019-11-19 Alexandr Savinov

A perspective function is a construction which combines a base function defined on a given space with a nonlinear scaling function defined on another space and which yields a lower semicontinuous convex function on the product space. Since…

最优化与控制 · 数学 2024-07-08 Luis M. Briceño-Arias , Patrick L. Combettes , Francisco J. Silva

As a step beyond traditional personalized recommendation, group recommendation is the task of suggesting items that can satisfy a group of users. In group recommendation, the core is to design preference aggregation functions to obtain a…

信息检索 · 计算机科学 2022-12-06 Tong Chen , Hongzhi Yin , Jing Long , Quoc Viet Hung Nguyen , Yang Wang , Meng Wang

Data mining is the task of discovering interesting patterns from large amounts of data. There are many data mining tasks, such as classification, clustering, association rule mining, and sequential pattern mining. Sequential pattern mining…

数据库 · 计算机科学 2010-02-08 Mahdi Esmaeili , Fazekas Gabor

Problem statement: Clustering has a number of techniques that have been developed in statistics, pattern recognition, data mining, and other fields. Subspace clustering enumerates clusters of objects in all subspaces of a dataset. It tends…

数据库 · 计算机科学 2010-09-03 Rahmat Widia Sembiring , Jasni Mohamad Zain , Abdullah Embong

Multivariate spatio-temporal data refers to multiple measurements taken across space and time. For many analyses, spatial and time components can be separately studied: for example, to explore the temporal trend of one variable for a single…

统计计算 · 统计学 2026-02-24 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

机器学习 · 计算机科学 2019-07-19 Manolis C. Tsakiris , Rene Vidal

Information aggregation is a vital tool for human and machine decision making in the presence of uncertainty. Traditionally, approaches to aggregation broadly diverge into two categories, those which attribute a worth or weight to…

人工智能 · 计算机科学 2024-05-06 Stephen B. Broomell , Christian Wagner

State-of-the-art subspace clustering methods are based on self-expressive model, which represents each data point as a linear combination of other data points. By enforcing such representation to be sparse, sparse subspace clustering is…

机器学习 · 计算机科学 2020-05-05 Ying Chen , Chun-Guang Li , Chong You

Data analysts commonly utilize statistics to summarize large datasets. While it is often sufficient to explore only the summary statistics of a dataset (e.g., min/mean/max), Anscombe's Quartet demonstrates how such statistics can be…

计算几何 · 计算机科学 2019-10-31 Hang Chen , Utkarsh Soni , Yafeng Lu , Vahan Huroyan , Ross Maciejewski , Stephen Kobourov

In this work we present in-network techniques to improve the efficiency of spatial aggregate queries. Such queries are very common in a sensornet setting, demanding more targeted techniques for their handling. Our approach constructs and…

数据库 · 计算机科学 2010-07-23 Alexandra Meliou , Carlos Guestrin , Joseph M. Hellerstein

Noncommutative gauge theories can be constructed from ordinary $U(\infty)$ gauge theories in lower dimensions. Using this construction we identify the operators on noncommutative D-branes which couple to linearized supergravity backgrounds,…

高能物理 - 理论 · 物理学 2009-10-31 S. R. Das , S. P. Trivedi

This paper gives a k-means approximation algorithm that is efficient in the relational algorithms model. This is an algorithm that operates directly on a relational database without performing a join to convert it to a matrix whose rows…

数据结构与算法 · 计算机科学 2021-05-24 Benjamin Moseley , Kirk Pruhs , Alireza Samadian , Yuyan Wang

Daisy cubes are a recently introduced class of isometric subgraphs of hypercubes $Q_n$. They are induced with intervals between chosen vertices of $Q_n$ and the vertex $0^n\in V(Q_n)$. In this paper we characterize daisy cubes in terms of…

组合数学 · 数学 2019-05-20 Andrej Taranenko

Graphs are commonly used to represent and visualize causal relations. For a small number of variables, this approach provides a succinct and clear view of the scenario at hand. As the number of variables under study increases, the graphical…

机器学习 · 统计学 2023-08-16 Santtu Tikka , Jouni Helske , Juha Karvanen

A graph is a structure composed of a set of vertices (i.e.nodes, dots) connected to one another by a set of edges (i.e.links, lines). The concept of a graph has been around since the late 19$^\text{th}$ century, however, only in recent…

数据结构与算法 · 计算机科学 2010-12-24 Marko A. Rodriguez , Peter Neubauer

Data-driven methods play an increasingly important role in discovering geometric, structural, and semantic relationships between 3D shapes in collections, and applying this analysis to support intelligent modeling, editing, and…

图形学 · 计算机科学 2015-02-25 Kai Xu , Vladimir G. Kim , Qixing Huang , Evangelos Kalogerakis

AI-Powered database (AI-DB) is a novel relational database system that uses a self-supervised neural network, database embedding, to enable semantic SQL queries on relational tables. In this paper, we describe an architecture and…

人工智能 · 计算机科学 2023-03-02 Prabhakar Kudva , Rajesh Bordawekar , Apoorva Nitsure
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