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About 10,000 papers for “Vector space”

Vector space

Lange, T Tanja · Data Archiving and Networked Services (DANS) · 2011

Cited by 0

Vector space

Lange, T Tanja · TU/e Research Portal (Eindhoven University of Technology) · 2011

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Vector Space (2D).

Timur Olzhabaev (21094684), Lukas Müller (8394252), Daniel Krause (11015106) et al. · Figshare · 2025

(A) Entire vector space. Marker colour represents lipid category: Fatty acids (FA), glycerolipids (GL), glycerophospholipids (GP), sphingolipids (SP), sterol lipids (ST), prenol lipids (PR), saccharolipids (SL) and polyketides (PK). (B) Region of the vector space focused on selected glycerophospholipids: Glycerophosphates (PA), glycerophosphocholines (PC), glycerophosphoethanolamines (PE), glycerophosphoglycerols (PG), glycerophosphoinositols (PI) and glycerophosphoserines (PS). Marker colour: Lipid class. (C) Same region as in B, marker colour represents the number of fatty acyl double bonds. (D) Zoomed-in region of selected glycerophospholipids, marker colour represents lipid class. (E) Same region as in D, marker colour represents the double bond profile of the 2-sn fatty acyl. (F) Same region as in D, marker colour represents molecule mass. See <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1012892#pcbi.1012892.s007" target="_blank">S3 Dataset</a> for interactive HTML.

Cited by 0Open access

Vector-Space Model

MELUCCI, MASSIMO · Research Padua Archive (University of Padua) · 2009

Cited by 0

Vector space model.

Víctor Suárez-Paniagua (10920097), Arlene Casey (10920088), Charis A. Marwick (6812216) et al. · Figshare · 2024

&lt;div&gt;&lt;p&gt;Background&lt;/p&gt;&lt;p&gt;Care home residents are a highly vulnerable group, but identifying care home residents in routine data is challenging. This study aimed to develop and validate Natural Language Processing (NLP) methods to identify care home residents from primary care address records.&lt;/p&gt;&lt;p&gt;Methods&lt;/p&gt;&lt;p&gt;The proposed system applies an NLP sequential filtering and preprocessing of text, then the calculation of similarity scores between general practice (GP) addresses and care home registered addresses. Performance was evaluated in a diagnostic test study comparing NLP prediction to independent, gold-standard manual identification of care home addresses. The analysis used population data for 771,588 uniquely written addresses for 819,911 people in two NHS Scotland health board regions. The source code is publicly available at &lt;a href="https://github.com/vsuarezpaniagua/NLPcarehome" target="_blank"&gt;https://github.com/vsuarezpaniagua/NLPcarehome&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;Results&lt;/p&gt;&lt;p&gt;Care home resident identification by NLP methods overall was better in Fife than in Tayside, and better in the over-65s than in the whole population. Methods with the best performance were &lt;b&gt;Correlation&lt;/b&gt; (sensitivity 90.2%, PPV 92.0%) for Fife data and &lt;b&gt;Cosine&lt;/b&gt; (sensitivity 90.4%, PPV 93.7%) for Tayside. For people aged ≥65 years, the best methods were &lt;b&gt;Jensen-Shannon&lt;/b&gt; (sensitivity 91.5%, PPV 98.7%) for Fife and &lt;b&gt;City Block&lt;/b&gt; (sensitivity 94.4%, PPV 98.3%) for Tayside. These results show the feasibility of applying NLP methods to real data concluding that computing address similarities outperforms previous works.&lt;/p&gt;&lt;p&gt;Conclusions&lt;/p&gt;&lt;p&gt;Address-matching techniques using NLP methods can determine with reasonable accuracy if individuals live in a care home based on their GP-registered addresses. The performance of the system exceeds previously reported results such as Postcode matching, Markov score or Phonics score.&lt;/p&gt;&lt;/div&gt;

Cited by 0Open access

Vector Space Partitions

Kovacs, Renee, Palermo, Jack · Exhibit - A Showcase of Scholarship, Creativity and Preservation Provided by Xavier University Library (Xavier University) · 2025

A vector space is a set of elements that can be added together and multiplied by numbers and that satisfy certain algebraic axioms. A subspace is a non-empty subset of a vector space that is closed under vector addition and scalar multiplication. The dimension of a vector space is the number of elements that completely determine it. A finite field of order q is a finite set of numbers dependent on a prime power q for which the operations of multiplication, addition, subtraction, and division are defined, and that satisfy certain algebraic rules. Let V (n, q) denote the vector space of dimension n over a finite field of order q and let n>= 2. A 2-spread is a collection of subspaces of V:=V (n, q), all of dimension 2, such that each nonzero vector of V appears in exactly one of the subspaces. Creating 2-spreads gets increasingly more difficult as the dimension of a vector space and q grow. We present an efficient method that we built for every q to inductively create 2-spreads of a vector space of dimension 2k+2 by using a 2-spread from a 2k-dimensional vector space. A partial t-spread of V(n, q) is a collection of t-dimensional subspaces of V (n, q) that intersect only in the zero vector. In this talk, we will also discuss our attempts to create a partial 3-spread of size 245 of the V(8,3) vector space; this would have been larger than the known lower bound.

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Linear Vector Space

K. N. Srinivasa Rao · Texts and readings in physical sciences · 2006

For convenience, we begin by listing the axioms of a linear vector space once again. Let V be a set containing elements 0, x, y,… and Δ a field with elements 0, a, b, ⋯ , λ, μ, ⋯ . We say that V is a linear vector space over the ground field Δ if the following axioms are satisfied: Some obvious consequences may be noted.

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Normed vector space

Haihambo, P · UNAM Scholarly Repository (University of Namibia) · 2016

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