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Basis (linear algebra)

Known as: Algebraic basis, Coordinate (vector space), Cone basis 
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of basis vectors, if the vectors are linearly independent… 
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Related topics

Related topics

50 relations
Angular momentum operatorBasis functionBell stateBernstein polynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
Linear Algebra
The subject of linear algebra includes the solution of linear equations, a topic properly belonging to college algebra. Earlier… 
Highly Cited
2010
Highly Cited
2010
Learning Fast Approximations of Sparse Coding
In Sparse Coding (SC), input vectors are reconstructed using a sparse linear combination of basis vectors. SC has become a… 
Highly Cited
2008
Highly Cited
2008
Bayesian Compressive Sensing
The data of interest are assumed to be represented as N-dimensional real vectors, and these vectors are compressible in some… 
Highly Cited
2003
Highly Cited
2003
Non-negative matrix factorization for polyphonic music transcription
We present a methodology for analyzing polyphonic musical passages comprised of notes that exhibit a harmonically fixed spectral… 
Highly Cited
2003
Highly Cited
2003
Scaling personalized web search
Recent web search techniques augment traditional text matching with a global notion of "importance" based on the linkage… 
Highly Cited
2001
Highly Cited
2001
From Few to Many: Illumination Cone Models for Face Recognition under Variable Lighting and Pose
We present a generative appearance-based method for recognizing human faces under variation in lighting and viewpoint. Our method… 
Highly Cited
2000
Highly Cited
2000
Mel Frequency Cepstral Coefficients for Music Modeling
  • B. Logan
  • International Society for Music Information…
  • 2000
  • Corpus ID: 17454278
We examine in some detail Mel Frequency Cepstral Coefficients (MFCCs) the dominant features used for speech recognition and… 
Highly Cited
1997
Highly Cited
1997
Strategy Retold: Toward a Narrative View of Strategic Discourse
Using narrative theory, this article explores strategic management as a form of fiction. After introducing several key narrative… 
Highly Cited
1989
Highly Cited
1989
The quantum group SUq(2) and a q-analogue of the boson operators
A new realisation of the quantum group SUq(2) is constructed by means of a q-analogue to the Jordan-Schwinger mapping… 
Highly Cited
1976
Highly Cited
1976
The validity of the boussinesq approximation for liquids and gases
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