Add to ORKGThis research report investigates an approach to the design of an Ockham prior penalising parametric complexity in the Hierarchical Fully Probabilistic Design (HFPD) [1] setting. We identify a term which penalises the introduction of an additional parameter in the Wold decomposition. We also derive the objective Ockham Parameter Prior (OPI) in this context, based on earlier work [2], and we show that the two are, in fact, closely related. This confers validity on the HFPD Ockham term
In engineering design problems, we want to make sure that a certain quantity c of the designed syste...
Ockham’s razor is the principle that, all other things being equal, scientists ought to prefer simpl...
Bayesian penalized splines (P-splines) assume an intrinsic Gaussian Markov random field prior on the...
In this paper, we introduce a new concept for constructing prior distributions. We exploit the natur...
The first part of this paper is a review of basic notions and results connected with Kolmogorov comp...
The posterior probabilities available under standard Bayesian statistics are computable, apply to sm...
The issue of setting prior distributions on model parameters, or to attribute uncertainty for model ...
The Bayesian paradigm apparently only sometimes gives rise to Occam's Razor; at other times very lar...
The Bayesian paradigm apparently only sometimes gives rise to Occam’s Razor; at other times very lar...
It is sometimes claimed that the Bayesian framework automatically implements Ockham's razor---that c...
In Bayesian statistics, if the distribution of the data is unknown, then each plausible distribution...
peer-reviewedThe minimum cross-entropy principle is an established technique for design of an unknow...
In probabilistic grammar induction, to avoid overfitting, simplicity priors are often used [1–4], wh...
We consider a multivariate model with independent marginals as a benchmark for a generic multivariat...
It is sometimes claimed that the Bayesian framework automatically implements Ockham's razor---that c...
In engineering design problems, we want to make sure that a certain quantity c of the designed syste...
Ockham’s razor is the principle that, all other things being equal, scientists ought to prefer simpl...
Bayesian penalized splines (P-splines) assume an intrinsic Gaussian Markov random field prior on the...
In this paper, we introduce a new concept for constructing prior distributions. We exploit the natur...
The first part of this paper is a review of basic notions and results connected with Kolmogorov comp...
The posterior probabilities available under standard Bayesian statistics are computable, apply to sm...
The issue of setting prior distributions on model parameters, or to attribute uncertainty for model ...
The Bayesian paradigm apparently only sometimes gives rise to Occam's Razor; at other times very lar...
The Bayesian paradigm apparently only sometimes gives rise to Occam’s Razor; at other times very lar...
It is sometimes claimed that the Bayesian framework automatically implements Ockham's razor---that c...
In Bayesian statistics, if the distribution of the data is unknown, then each plausible distribution...
peer-reviewedThe minimum cross-entropy principle is an established technique for design of an unknow...
In probabilistic grammar induction, to avoid overfitting, simplicity priors are often used [1–4], wh...
We consider a multivariate model with independent marginals as a benchmark for a generic multivariat...
It is sometimes claimed that the Bayesian framework automatically implements Ockham's razor---that c...
In engineering design problems, we want to make sure that a certain quantity c of the designed syste...
Ockham’s razor is the principle that, all other things being equal, scientists ought to prefer simpl...
Bayesian penalized splines (P-splines) assume an intrinsic Gaussian Markov random field prior on the...