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163
Logical Characterisations Of Inductive Learning
, 2000
"... This chapter presents a logical analysis of induction. Contrary to common approaches to inductive logic that treat inductive validity as a realvalued generalisation of deductive validity, we argue that the only logical step in induction lies in hypothesis generation rather than evaluation. ..."
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Cited by 13 (2 self)
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This chapter presents a logical analysis of induction. Contrary to common approaches to inductive logic that treat inductive validity as a realvalued generalisation of deductive validity, we argue that the only logical step in induction lies in hypothesis generation rather than evaluation.
Hardware Implementation Of A RealValued SigmaPi Network
, 1995
"... : The HyperNet (Hypercube based neural Network) architecture uses higherorder sigmapi units which are realisable with conventional memory technology. Realvalued node input and output vectors promote automatic generalisation and allow the architecture to interface to analogue data. Hardware impleme ..."
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: The HyperNet (Hypercube based neural Network) architecture uses higherorder sigmapi units which are realisable with conventional memory technology. Realvalued node input and output vectors promote automatic generalisation and allow the architecture to interface to analogue data. Hardware
General MultiLevel Linear Modelling for Group Analysis in FMRI
 NeuroImage
, 2003
"... This paper discusses general modelling of multisubject and/or multisession FMRI data. In particular, we show that a twolevel mixedeffects model (where parameters of interest at the group level are estimated from parameter and variance estimates from the singlesession level) can be made equivale ..."
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Cited by 209 (8 self)
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the BLUE with known covariances. This result has significant implications for group studies in FMRI, since it shows that the group analysis only requires values of the parameter estimates and their (co)variance from the first level, generalising the well established 'summary statistics' approach
GENERALISED RICCI SOLITONS
"... Abstract. We introduce a class of overdetermined systems of partial differential equations of finite type on (pseudo)Riemannian manifolds that we call the generalised Ricci soliton equations. These equations depend on three real parameters. For special values of the parameters they specialise to v ..."
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Abstract. We introduce a class of overdetermined systems of partial differential equations of finite type on (pseudo)Riemannian manifolds that we call the generalised Ricci soliton equations. These equations depend on three real parameters. For special values of the parameters they specialise
Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras
, 2013
"... We consider for every n ∈ N an algebra An of germs at 0 ∈ Rn of continuous realvalued functions, such that we can associate to every germ f ∈ An a (divergent) series T (f) with nonnegative real exponents, which can be thought of as an asymptotic expansion of f. We require that the Ralgebra homomor ..."
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Cited by 1 (1 self)
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We consider for every n ∈ N an algebra An of germs at 0 ∈ Rn of continuous realvalued functions, such that we can associate to every germ f ∈ An a (divergent) series T (f) with nonnegative real exponents, which can be thought of as an asymptotic expansion of f. We require that the R
Markov chain Monte Carlo for dynamic generalised linear models
, 1998
"... This paper presents a new methodological approach for carrying out Bayesian inference about dynamic models for exponential family observations. The approach is simulationbased and involves the use of Markov chain Monte Carlo techniques. A MetropolisHastings algorithm is combined with the Gibbs samp ..."
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Cited by 44 (2 self)
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parameters and unknown hyperparameters. Illustrations with real datasets with sparse counts and missing values are presented. Extensions to accommodate more general evolution forms and distributions for observations and disturbances are outlined.
Generalised extreme value statistics and sum of correlated variables
 Journal of Physics A
"... Abstract. We show that generalised extreme value statistics –the statistics of the k th largest value among a large set of random variables – can be mapped onto a problem of random sums. This allows us to identify classes of nonidentical and (generally) correlated random variables with a sum distri ..."
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Cited by 10 (0 self)
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Abstract. We show that generalised extreme value statistics –the statistics of the k th largest value among a large set of random variables – can be mapped onto a problem of random sums. This allows us to identify classes of nonidentical and (generally) correlated random variables with a sum
Generalisation of A Class of Continuous Neural Networks
"... We propose a way of using boolean circuits to perform real valued computation in a way that naturally extends their boolean functionality. The functionality of multiple fan in threshold gates in this model is shown to mimic that of a hardware implementation of continuous Neural Networks. A VapnikCh ..."
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We propose a way of using boolean circuits to perform real valued computation in a way that naturally extends their boolean functionality. The functionality of multiple fan in threshold gates in this model is shown to mimic that of a hardware implementation of continuous Neural Networks. A Vapnik
WELLPOSEDNESS FOR THE KADOMTSEVPETVIASHVILI II EQUATION AND GENERALISATIONS
, 2006
"... Abstract. We show the local in time wellposedness of the Cauchy problem for the KadomtsevPetviashvili II equation for initial data in the nonisotropic Sobolev space Hs1,s2(R2) with s1> − 1 2 and s2 ≥ 0. On the Hs1,0 (R2) scale this result includes the full subcritical range without any additio ..."
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Cited by 8 (1 self)
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∈ Hs1,s2(R2). We deduce global wellposedness for s1 ≥ 0, s2 = 0 and real valued initial data. 1.
Decision Generalisation from Game Logs in No Limit Texas Hold’em
 PROCEEDINGS OF THE TWENTYTHIRD INTERNATIONAL JOINT CONFERENCE ON ARTIFICIAL INTELLIGENCE
, 2011
"... Given a set of data, recorded by observing the decisions of an expert player, we present a casebased framework that allows the successful generalisation of those decisions in the game of no limit Texas Hold’em. We address the problems of determining a suitable action abstraction and the resulting s ..."
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state translation that is required to map realvalue bet amounts into a discrete set of abstract actions. We also detail the similarity metrics used in order to identify similar scenarios, without which no generalisation of playing decisions would be possible. We show that we were able to successfully
Results 1  10
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163