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Online Learning for Matrix Factorization and Sparse Coding
Journal of machine learning research, 2009Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics.
J. Mairal, F. Bach, J. Ponce, G. Sapiro
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Factoring Effectiveness Factors!
Journal of the Operational Research Society, 1990It has previously been suggested that the effectiveness of strategic planning systems may be characterized in terms of a multi-attribute framework. This paper explores the possibility of reducing the postulated set of attributes to an ‘irreducible core’ by means of a factor analysis.
M. J. Foster, A. R. Lock
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Smooth stabilization implies coprime factorization
IEEE Transactions on Automatic Control, 1989It is shown that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system.
Eduardo Sontag
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Journal of the London Mathematical Society, 1998
A noninjective bounded-to-one factor map from an irreducible shift of finite type onto a sofic system can be factored as a composition of other such maps in only finitely many ways (up to isomorphism). This generalizes to factor maps from systems with canonical coordinates to finitely presented dynamical systems. The proofs are constructive and rest on
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A noninjective bounded-to-one factor map from an irreducible shift of finite type onto a sofic system can be factored as a composition of other such maps in only finitely many ways (up to isomorphism). This generalizes to factor maps from systems with canonical coordinates to finitely presented dynamical systems. The proofs are constructive and rest on
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Factorization Algebras in Quantum Field Theory
, 2021Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information.
K. Costello, Owen Gwilliam
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Antihemophilic Factor (Factor VIII)
Annals of Internal Medicine, 1978Antihemophilic factor (Factor VIII) is an agent in normal plasma that corrects the coagulative defect of classic hemophillia. The plasma of hemophiliacs contains normal amounts of a variant of antihemophilic factor deficient in clot-promoting properties. In contrast, von Willebrand's disease is usually associated with a true deficiency of this protein.
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Fusing Hyperspectral and Multispectral Images via Coupled Sparse Tensor Factorization
IEEE Transactions on Image Processing, 2018Fusing a low spatial resolution hyperspectral image (LR-HSI) with a high spatial resolution multispectral image (HR-MSI) to obtain a high spatial resolution hyperspectral image (HR-HSI) has attracted increasing interest in recent years. In this paper, we
Shutao Li +3 more
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Factor Prices, Factor Proportions, and Regional Factor Endowments
Journal of Political Economy, 1970in two-digit manufacturing industries. These tests were based on the theoretical proposition that the South, being relatively labor-abundant by comparison with the non-South, should possess a comparative advantage in producing relatively labor-intensive commodities.
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Implicit Regularization in Matrix Factorization
Information Theory and Applications Workshop, 2017We study implicit regularization when optimizing an underdetermined quadratic objective over a matrix $X$ with gradient descent on a factorization of X.
Suriya Gunasekar +4 more
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