Structured Hypotheses

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 <Discrete<
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also see
Multivariate

We have seen the Minimum Message Length (MML) and other treatments of "simple" hypotheses over "simple" data such as finite choices, e.g. multi-state, and continuous values, e.g. normal distribution, etc. It turns out that structured hypotheses can be formed from combinations of simple hypotheses plus a component to describe the particular structure.

A few examples:
hypotheses
simple hypotheses structured hypotheses
MMLFP: ACSC03, JFP, ACSC06, II 1.0 1.1
discrete
continuous
Sequences, time series, grids, images,...
unsupervised
supervised
 
finite, multistate enumerable, integers normal ... Markov models, HMM+PFSA, BioInformatics, Segmentation classification, clustering, mixture model,...
in series,
factors,...
W+F'87...
W+B'68
... decision tree, decision graph, ... ... Bayes net,
hybrids
-
Coding Ockham's Razor, L. Allison, Springer

A Practical Introduction to Denotational Semantics, L. Allison, CUP

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Also see:
 II
  ACSC06
  JFP05
  ACSC03

© L. Allison   http://www.allisons.org/ll/   (or as otherwise indicated),
Faculty of Information Technology (Clayton), Monash University, Australia 3800 (6/'05 was School of Computer Science and Software Engineering, Fac. Info. Tech., Monash University,
was Department of Computer Science, Fac. Comp. & Info. Tech., '89 was Department of Computer Science, Fac. Sci., '68-'71 was Department of Information Science, Fac. Sci.)
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