Probabilistic Graphical Models-Knowledge Engineering

设计图模型时面临着以下选择:

Template based vs specific

Directed vs undirected

Generative vs discriminative

Hybrid(混合) model是很常见的,有时候会同时有Template based部分和非Template level的部分。:

Template-based Hybrid Specific
image segmentation
fairly small number of variable types
fault diagnosis
elements unique and shared
medical diagnosis
large number of unique variables
Generative   Discriminative
no predetermined task(task shifts)
not predetermined set of variables as input and disease as outputs
medical diagnosis task
every patient presents differently(symptoms&tests)

easier to train in certain regimes(when data is not fully labeled)
  a particular prediction task better solved by having richly expressive features
avoid dealing with correlations between features
->high performance model
Directed   undirected
arrows correspond to causality    

latent model:简化模型结构

image

Discriminative models directly model P(Y|X) and avoid dealing with the joint distribution. Generative models handle missing data or partially labeled data better, so they are preferable if obtaining labels is hard. High-dimensional variables are in general more difficult to model, and discriminative models avoid this by conditioning on them. Generative models can be used to generate new observable data.

image

Causal ordering不仅更intuitive,而且使模型更加sparse,更容易parameterize。

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