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31,331
Linear Dependence
"... Abstract. In many practical situations, the dependence between the quantities is linear or approximately linear. Knowing that the dependence is linear simplifies computations; so, is is desirable to detect linear dependencies. If we know the joint probability distribution, we can detect linear depen ..."
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Abstract. In many practical situations, the dependence between the quantities is linear or approximately linear. Knowing that the dependence is linear simplifies computations; so, is is desirable to detect linear dependencies. If we know the joint probability distribution, we can detect linear
Longitudinal data analysis using generalized linear models”.
- Biometrika,
, 1986
"... SUMMARY This paper proposes an extension of generalized linear models to the analysis of longitudinal data. We introduce a class of estimating equations that give consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence. The estimating ..."
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Cited by 1526 (8 self)
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SUMMARY This paper proposes an extension of generalized linear models to the analysis of longitudinal data. We introduce a class of estimating equations that give consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence
Using Linear Algebra for Intelligent Information Retrieval
- SIAM REVIEW
, 1995
"... Currently, most approaches to retrieving textual materials from scientific databases depend on a lexical match between words in users' requests and those in or assigned to documents in a database. Because of the tremendous diversity in the words people use to describe the same document, lexical ..."
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Cited by 676 (18 self)
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Currently, most approaches to retrieving textual materials from scientific databases depend on a lexical match between words in users' requests and those in or assigned to documents in a database. Because of the tremendous diversity in the words people use to describe the same document
ON THE POWER OF LINEAR DEPENDENCIES
"... Simple as they may be, linear dependencies have proved very useful in many ways. In this survey several geometric applications of linear dependencies are discussed, focusing on rearrangements of sums and on sums with ±1 signs. ..."
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Cited by 2 (0 self)
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Simple as they may be, linear dependencies have proved very useful in many ways. In this survey several geometric applications of linear dependencies are discussed, focusing on rearrangements of sums and on sums with ±1 signs.
On linear dependence of iterates
- J.Appl.Anal
"... Abstract. A functional equation related to a problem of linear depen-dence of iterates is considered. 1. ..."
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Cited by 3 (1 self)
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Abstract. A functional equation related to a problem of linear depen-dence of iterates is considered. 1.
Optimally sparse representation in general (non-orthogonal) dictionaries via ℓ¹ minimization
- PROC. NATL ACAD. SCI. USA 100 2197–202
, 2002
"... Given a ‘dictionary’ D = {dk} of vectors dk, we seek to represent a signal S as a linear combination S = ∑ k γ(k)dk, with scalar coefficients γ(k). In particular, we aim for the sparsest representation possible. In general, this requires a combinatorial optimization process. Previous work considered ..."
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Cited by 633 (38 self)
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optimization problem: specifically, minimizing the ℓ¹ norm of the coefficients γ. In this paper, we obtain parallel results in a more general setting, where the dictionary D can arise from two or several bases, frames, or even less structured systems. We introduce the Spark, ameasure of linear dependence
Efficiently computing static single assignment form and the control dependence graph
- ACM TRANSACTIONS ON PROGRAMMING LANGUAGES AND SYSTEMS
, 1991
"... In optimizing compilers, data structure choices directly influence the power and efficiency of practical program optimization. A poor choice of data structure can inhibit optimization or slow compilation to the point that advanced optimization features become undesirable. Recently, static single ass ..."
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Cited by 1003 (8 self)
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assignment form and the control dependence graph have been proposed to represent data flow and control flow propertiee of programs. Each of these previously unrelated techniques lends efficiency and power to a useful class of program optimization. Although both of these structures are attractive
Locally linearly dependent operators
- Pacific J. Math
"... Let U and V be vector spaces over a field F. Linear op-erators T1,..., Tn: U → V are locally linearly dependent if T1u,..., Tnu are linearly dependent for every u ∈ U. We extend and unify known results on locally linearly dependent operators and present two applications of these new results, one in ..."
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Cited by 7 (0 self)
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Let U and V be vector spaces over a field F. Linear op-erators T1,..., Tn: U → V are locally linearly dependent if T1u,..., Tnu are linearly dependent for every u ∈ U. We extend and unify known results on locally linearly dependent operators and present two applications of these new results, one
Feature selection based on mutual information: Criteria of max-dependency, max-relevance, and min-redundancy
- IEEE TRANS. PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 2005
"... Feature selection is an important problem for pattern classification systems. We study how to select good features according to the maximal statistical dependency criterion based on mutual information. Because of the difficulty in directly implementing the maximal dependency condition, we first der ..."
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Cited by 571 (8 self)
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Feature selection is an important problem for pattern classification systems. We study how to select good features according to the maximal statistical dependency criterion based on mutual information. Because of the difficulty in directly implementing the maximal dependency condition, we first
Survey on Independent Component Analysis
- NEURAL COMPUTING SURVEYS
, 1999
"... A common problem encountered in such disciplines as statistics, data analysis, signal processing, and neural network research, is nding a suitable representation of multivariate data. For computational and conceptual simplicity, such a representation is often sought as a linear transformation of the ..."
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Cited by 2309 (104 self)
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A common problem encountered in such disciplines as statistics, data analysis, signal processing, and neural network research, is nding a suitable representation of multivariate data. For computational and conceptual simplicity, such a representation is often sought as a linear transformation
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