Lattices and dimensional representations: Matrix decompositions and ordering structures

Philippa E. Pattison; Ronald L. Breiger

doi:10.1016/S0378-8733(02)00015-1

Lattices and dimensional representations: Matrix decompositions and ordering structures

Philippa E. Pattison, Ronald L. Breiger

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

This paper is concerned with some methods that attempt to provide simultaneous representation of dual relationships, such as ties of membership that connect persons and groups, or connections between organizations and agendas. We focus on vector space and lattice representations, and on techniques for simplifying the structure of dual networks. We demonstrate some fundamental similarities among these approaches.

Original language	English (US)
Pages (from-to)	423-444
Number of pages	22
Journal	Social Networks
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/S0378-8733(02)00015-1
State	Published - Oct 2002

Keywords

Boolean vector
Lattice representation
Matrix decomposition

ASJC Scopus subject areas

Anthropology
Sociology and Political Science
General Social Sciences
General Psychology

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10.1016/S0378-8733(02)00015-1

Cite this

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title = "Lattices and dimensional representations: Matrix decompositions and ordering structures",

abstract = "This paper is concerned with some methods that attempt to provide simultaneous representation of dual relationships, such as ties of membership that connect persons and groups, or connections between organizations and agendas. We focus on vector space and lattice representations, and on techniques for simplifying the structure of dual networks. We demonstrate some fundamental similarities among these approaches.",

keywords = "Boolean vector, Lattice representation, Matrix decomposition",

author = "Pattison, {Philippa E.} and Breiger, {Ronald L.}",

year = "2002",

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AB - This paper is concerned with some methods that attempt to provide simultaneous representation of dual relationships, such as ties of membership that connect persons and groups, or connections between organizations and agendas. We focus on vector space and lattice representations, and on techniques for simplifying the structure of dual networks. We demonstrate some fundamental similarities among these approaches.

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KW - Lattice representation

KW - Matrix decomposition

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EP - 444

JO - Social Networks

JF - Social Networks

IS - 4

ER -

Lattices and dimensional representations: Matrix decompositions and ordering structures

Abstract

Keywords

ASJC Scopus subject areas

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