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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… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2010
Highly Cited
2010
In Sparse Coding (SC), input vectors are reconstructed using a sparse linear combination of basis vectors. SC has become a… Expand
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Highly Cited
2008
Highly Cited
2008
The subject of linear algebra includes the solution of linear equations, a topic properly belonging to college algebra. Earlier… Expand
Highly Cited
2008
Highly Cited
2008
The data of interest are assumed to be represented as N-dimensional real vectors, and these vectors are compressible in some… Expand
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Highly Cited
2003
Highly Cited
2003
We present a methodology for analyzing polyphonic musical passages comprised of notes that exhibit a harmonically fixed spectral… Expand
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Highly Cited
2003
Highly Cited
2003
Recent web search techniques augment traditional text matching with a global notion of "importance" based on the linkage… Expand
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Highly Cited
2001
Highly Cited
2001
We present a generative appearance-based method for recognizing human faces under variation in lighting and viewpoint. Our method… Expand
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Highly Cited
2000
Highly Cited
2000
We examine in some detail Mel Frequency Cepstral Coefficients (MFCCs) the dominant features used for speech recognition and… Expand
Highly Cited
1997
Highly Cited
1997
Using narrative theory, this article explores strategic management as a form of fiction. After introducing several key narrative… Expand
Highly Cited
1989
Highly Cited
1989
A new realisation of the quantum group SUq(2) is constructed by means of a q-analogue to the Jordan-Schwinger mapping… Expand
Highly Cited
1976
Highly Cited
1976
Abstract A new method for obtaining approximate equations for natural convection flows is presented. The systematic application… Expand
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