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EXTENDING FUNCTIONS TO NATURAL EXTENSIONS
"... Abstract. We investigate the problem of extending maps between algebras of a finitely generated prevariety to their natural extensions. As for canonical extension of latticebased algebras, a new topology has to be introduced in order to be able to define an algebra inside its natural extension. Un ..."
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Abstract. We investigate the problem of extending maps between algebras of a finitely generated prevariety to their natural extensions. As for canonical extension of latticebased algebras, a new topology has to be introduced in order to be able to define an algebra inside its natural extension
Conglomerable Natural Extension
 7TH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS, INNSBRUCK, AUSTRIA
, 2011
"... We study the weakest conglomerable model that is implied by desirability or probability assessments: the conglomerable natural extension. We show that taking the natural extension of the assessments while imposing conglomerability—the procedure adopted in Walley’s theory—does not yield, in general, ..."
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Cited by 10 (8 self)
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We study the weakest conglomerable model that is implied by desirability or probability assessments: the conglomerable natural extension. We show that taking the natural extension of the assessments while imposing conglomerability—the procedure adopted in Walley’s theory—does not yield, in general
Independent natural extension
 IN: IPMU 2010: PROCEEDINGS OF THE 13TH INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGEBASED SYSTEMS CONFERENCE
, 2010
"... We introduce a general definition for the independence of a number of finitevalued variables, based on coherent lower previsions. Our definition has an epistemic flavour: it arises from personal judgements that a number of variables are irrelevant to one another. We show that a number of already ..."
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Cited by 18 (9 self)
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existing notions, such as strong independence, satisfy our definition. Moreover, there always is a leastcommittal independent model, for which we provide an explicit formula: the independent natural extension. Our central result is that the independent natural extension satisfies socalled marginalisation
Robustness of natural extension
 In ISIPTA ’11. SIPTA
, 2011
"... Abstract How sensitive is the natural extension of an upper prevision against small perturbations in the assessments? We revise some basic results from the theory of systems of linear inequalities and equalities, and linear programming, and apply them to the theory of upper previsions. We find that ..."
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Cited by 1 (0 self)
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Abstract How sensitive is the natural extension of an upper prevision against small perturbations in the assessments? We revise some basic results from the theory of systems of linear inequalities and equalities, and linear programming, and apply them to the theory of upper previsions. We find
Beyond bags of features: Spatial pyramid matching for recognizing natural scene categories
 In CVPR
"... This paper presents a method for recognizing scene categories based on approximate global geometric correspondence. This technique works by partitioning the image into increasingly fine subregions and computing histograms of local features found inside each subregion. The resulting “spatial pyrami ..."
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Cited by 1923 (47 self)
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pyramid ” is a simple and computationally efficient extension of an orderless bagoffeatures image representation, and it shows significantly improved performance on challenging scene categorization tasks. Specifically, our proposed method exceeds the state of the art on the Caltech101 database
The Natural Extension of the BetaTransformation
, 1996
"... For each real number fi ? 1 the fitransformation is defined by T fi x = fix(mod1). In this paper the natural extension T fi of the ergodic system underlying T fi is explicitly given. Furthermore, it is shown that a certain induced system of this natural extension is Bernoulli. Since T fi is weakly ..."
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For each real number fi ? 1 the fitransformation is defined by T fi x = fix(mod1). In this paper the natural extension T fi of the ergodic system underlying T fi is explicitly given. Furthermore, it is shown that a certain induced system of this natural extension is Bernoulli. Since T fi is weakly
Estimating the Support of a HighDimensional Distribution
, 1999
"... Suppose you are given some dataset drawn from an underlying probability distribution P and you want to estimate a "simple" subset S of input space such that the probability that a test point drawn from P lies outside of S is bounded by some a priori specified between 0 and 1. We propo ..."
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Cited by 783 (29 self)
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algorithm. The algorithm is a natural extension of the support vector algorithm to the case of unlabelled d...
The Nature and Growth of Vertical Specialization in World Trade
 Journal of International Economics
"... Abstract: Dramatic changes are occurring in the nature of international trade. Production processes increasingly involve a sequential, vertical trading chain stretching across many countries, with each country specializing in particular stages of a good’s production sequence. We document a key aspe ..."
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Cited by 481 (20 self)
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Abstract: Dramatic changes are occurring in the nature of international trade. Production processes increasingly involve a sequential, vertical trading chain stretching across many countries, with each country specializing in particular stages of a good’s production sequence. We document a key
Computing the Conglomerable Natural Extension
 8TH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS, COMPIÈGNE, FRANCE
, 2013
"... Given a coherent lower prevision P, we consider the problem of computing the smallest coherent lower prevision F ≥ P that is conglomerable, in case it exists. F is called the conglomerable natural extension. Past work has showed that F can be approximated by an increasing sequence (E n)n∈N of cohere ..."
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Cited by 1 (1 self)
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Given a coherent lower prevision P, we consider the problem of computing the smallest coherent lower prevision F ≥ P that is conglomerable, in case it exists. F is called the conglomerable natural extension. Past work has showed that F can be approximated by an increasing sequence (E n
The Extended Linear Complementarity Problem
, 1993
"... We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity of the biline ..."
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Cited by 788 (30 self)
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We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity
Results 1  10
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