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Good News and Bad News: Representation Theorems and Applications
 Bell Journal of Economics
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Cited by 700 (3 self)
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prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, noncommercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at
A Generalized Representer Theorem
 In Proceedings of the Annual Conference on Computational Learning Theory
, 2001
"... Wahba's classical representer theorem states that the solutions of certain risk minimization problems involving an empirical risk term and a quadratic regularizer can be written as expansions in terms of the training examples. We generalize the theorem to a larger class of regularizers and ..."
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Cited by 222 (17 self)
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Wahba's classical representer theorem states that the solutions of certain risk minimization problems involving an empirical risk term and a quadratic regularizer can be written as expansions in terms of the training examples. We generalize the theorem to a larger class of regularizers
Characterizing the Representer Theorem
"... The representer theorem assures that kernel methods retain optimality under penalized empirical risk minimization. While a sufficient condition on the form of the regularizer guaranteeing the representer theorem has been known since the initial development of kernel methods, necessary conditions hav ..."
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Cited by 1 (0 self)
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The representer theorem assures that kernel methods retain optimality under penalized empirical risk minimization. While a sufficient condition on the form of the regularizer guaranteeing the representer theorem has been known since the initial development of kernel methods, necessary conditions
Representability theorems for presheaves of spectra
, 2010
"... The Brown representability theorem gives a list of conditions for the representablity of a setvalued contravariant functor which is defined on the classical stable homotopy category. It has had many uses through the years, and has ..."
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Cited by 5 (0 self)
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The Brown representability theorem gives a list of conditions for the representablity of a setvalued contravariant functor which is defined on the classical stable homotopy category. It has had many uses through the years, and has
Hyperseparoids: a representation theorem
, 2010
"... In this note, hyperseparoids are introduced; hyperseparoids are to separoids as Tverberg’s theorem is to Radon’s theorem. Also, a geometric representation theorem for acyclic kseparoids is presented which generalises that for separoids exhibited in [2]. ..."
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In this note, hyperseparoids are introduced; hyperseparoids are to separoids as Tverberg’s theorem is to Radon’s theorem. Also, a geometric representation theorem for acyclic kseparoids is presented which generalises that for separoids exhibited in [2].
Generalization of the Tetrad Representation Theorem
 PRELIMINARY PAPERS OF THE FIFTH INTERNATIONAL WORKSHOP ON ARTIFICIAL INTELLIGENCE AND
, 1993
"... The tetrad representation theorem, due to Spirtes, Glymour, and Scheines (1993), gives a graphical condition necessary and sufficient for the vanishing of tetrad differences in a linear correlation structure. This note simplifies their proof and generalizes the theorem. This generalization can stren ..."
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Cited by 8 (1 self)
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The tetrad representation theorem, due to Spirtes, Glymour, and Scheines (1993), gives a graphical condition necessary and sufficient for the vanishing of tetrad differences in a linear correlation structure. This note simplifies their proof and generalizes the theorem. This generalization can
Representation Theorem for Finite . . .
"... In the article the representation theorem for finite distributive lattice as rings of sets is presented. Auxiliary concepts are introduced. Namely, the concept of the height of an element, the maximal element in a chain, immediate predecessor of an element and ring of sets. Besides the scheme of in ..."
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In the article the representation theorem for finite distributive lattice as rings of sets is presented. Auxiliary concepts are introduced. Namely, the concept of the height of an element, the maximal element in a chain, immediate predecessor of an element and ring of sets. Besides the scheme
REPRESENTATION THEOREMS FOR MULTIVALUED PRAMARTS
"... Abstract. Existence of pramarts selectors for multivalued pramart whose values are convex weakly compact subsets of a separable Banach space E (resp. subsets of a dual space E∗) are established. Representation theorems for multivalued pramarts are also presented. 1. ..."
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Abstract. Existence of pramarts selectors for multivalued pramart whose values are convex weakly compact subsets of a separable Banach space E (resp. subsets of a dual space E∗) are established. Representation theorems for multivalued pramarts are also presented. 1.
ON THE SKOROKHOD REPRESENTATION THEOREM
, 2006
"... Abstract. In this paper we present a variant of the well known Skorokhod Representation Theorem. In our main result, given S a Polish Space, to a given continuous path α in the space of probability measures on S, we associate a continuous path in the space of Svalued random variables on a nonatomic ..."
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Cited by 2 (0 self)
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Abstract. In this paper we present a variant of the well known Skorokhod Representation Theorem. In our main result, given S a Polish Space, to a given continuous path α in the space of probability measures on S, we associate a continuous path in the space of Svalued random variables on a
Representation Theorems for Implication Structures
, 1996
"... We discuss proofs of representation theorems for implication structures, being algebraic frames for substructural logics, as e.g. the Lambek calculus and BCI (see Ono and Komori [9]). For productfree fragments of these logics, the theorems can be proven by methods essentially analogous to those use ..."
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Cited by 1 (1 self)
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We discuss proofs of representation theorems for implication structures, being algebraic frames for substructural logics, as e.g. the Lambek calculus and BCI (see Ono and Komori [9]). For productfree fragments of these logics, the theorems can be proven by methods essentially analogous to those
Results 1  10
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5,379