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114,630
Infinite hierarchies and prior distributions
 Bernoulli
, 2001
"... Abstract. This paper introduces a way of constructing noninformative priors for Bayesian analysis, by taking a limit of priors arising from hierarchical constructions as the number of levels in the hierarchy converges to infinity. Results are proved showing that for location families, and other rel ..."
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Cited by 1 (0 self)
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Abstract. This paper introduces a way of constructing noninformative priors for Bayesian analysis, by taking a limit of priors arising from hierarchical constructions as the number of levels in the hierarchy converges to infinity. Results are proved showing that for location families, and other
Bayesian Models with Infinite Hierarchies
, 1999
"... This paper introduces a way of constructing noninformative priors for Bayesian analysis, by taking a limit of priors arising from hierarchical constructions as the number of levels in the hierarchy converges to 1. Results are proved showing that for location families, and other related cases, limit ..."
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This paper introduces a way of constructing noninformative priors for Bayesian analysis, by taking a limit of priors arising from hierarchical constructions as the number of levels in the hierarchy converges to 1. Results are proved showing that for location families, and other related cases
Infinite hierarchies of conformonP systems
 Membrane Computing, volume 4361 of Lecture
"... Abstract. Two models of conformonP systems, one restricted in the number of input conformons and the other restricted in the number of input membranes, are proved to induce infinite hierarchies. The described systems do not work under the requirement of maximal parallelism and perform deterministic ..."
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Cited by 6 (5 self)
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Abstract. Two models of conformonP systems, one restricted in the number of input conformons and the other restricted in the number of input membranes, are proved to induce infinite hierarchies. The described systems do not work under the requirement of maximal parallelism and perform
The Extended Low Hierarchy Is an Infinite Hierarchy
, 1992
"... Balc'azar, Book, and Schoning introduced the extended low hierarchy based on the \Sigmalevels of the polynomialtime hierarchy as follows: for k 1, level k of the extended low hierarchy is the set EL P;\Sigma k = fA j \Sigma P k (A) ` \Sigma P k\Gamma1 (A \Phi SAT)g. Allender and Hemachandr ..."
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Cited by 7 (1 self)
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\Gamma1 (A \Phi SAT)g. In this paper we show that the extended low hierarchy is properly infinite by showing, for k 2, that EL P;\Sigma k ` / EL P;\Theta k+1 ` / EL P;\Delta k+1 ` / EL P;\Sigma k+1 . Our proofs use the circuit lower bound techniques of Hastad and Ko. As corollaries to our
Infinite hierarchies of nonlocal symmetries for the oriented associativity equations
, 806
"... Motivated by the results of Dubrovin (arXiv:hepth/9209040), Mironov and Morozov (arXiv:hepth/9712177), and Chen, Kontsevich, and Schwarz (arXiv: hepth/0508221), we construct infinite hierarchies of nonlocal higher symmetries for the oriented associativity equations and the gradient reduction ther ..."
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Cited by 2 (2 self)
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Motivated by the results of Dubrovin (arXiv:hepth/9209040), Mironov and Morozov (arXiv:hepth/9712177), and Chen, Kontsevich, and Schwarz (arXiv: hepth/0508221), we construct infinite hierarchies of nonlocal higher symmetries for the oriented associativity equations and the gradient reduction
An Infinite Hierarchy of Mildly ContextSensitive Families of Languages
, 1998
"... We prove the existence of an infinite hierarchy of mildly contextsensitive families of languages. The definition of this hierarchy is based on an extension of Marcus contextual grammars referred to as Marcus many dimensional simple contextual grammars. Some variants of this hierarchy are also consi ..."
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We prove the existence of an infinite hierarchy of mildly contextsensitive families of languages. The definition of this hierarchy is based on an extension of Marcus contextual grammars referred to as Marcus many dimensional simple contextual grammars. Some variants of this hierarchy are also
An Infinite Hierarchy of Temporal Logics over Branching Time
 INFORMATION AND COMPUTATION
, 2000
"... Many temporal logics were suggested as branching time specification formalisms during the last 20 years. These logics were compared against each other for their expressive power, model checking complexity and succinctness. Yet, unlike the case for linear time logics, no canonical temporal logic of b ..."
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Cited by 6 (3 self)
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Many temporal logics were suggested as branching time specification formalisms during the last 20 years. These logics were compared against each other for their expressive power, model checking complexity and succinctness. Yet, unlike the case for linear time logics, no canonical temporal logic of branching time was agreed upon. We offer an explanation for the multiplicity of temporal logics over branching time and provide an objective quantified `yardstick' to measure these logics. We define
An Infinite Sequence of Full AFLStructures, Each of Which Possesses an Infinite Hierarchy
"... Abstract. We investigate different sets of operations on languages which results in corresponding algebraic structures, viz. in different types of full AFL’s (full Abstract Family of Languages). By iterating control on ETOLsystems we show that there exists an infinite sequence Cm (m ≥ 1) of classes ..."
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) of classes of such algebraic structures (full AFLstructures): each class is a proper superset of the next class (Cm ⊃ Cm+1). In turn each class Cm contains a countably infinite hierarchy, i.e., a countably infinite chain of language families Km,n (n ≥ 1) such that (i) each Km,n is closed under
Hierarchies from Fluxes in String Compactifications
, 2002
"... Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of IIB string theory a ..."
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Cited by 724 (33 self)
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Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of IIB string theory
Results 1  10
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114,630