Examples of using Conditional independence in English and their translations into Chinese
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Conditional Independence Assumption.
Implications of conditional independence assumption:.
Put another way, the structure of space is an instance of conditional independence.
Under the conditional independence assumption:.
This assumption is called class conditional independence.
Under the conditional independence assumption:.
Given this restriction,we can make a precise relationship between factorization and conditional independence.
Under the conditional independence assumption:.
It should be emphasized that the factorization in(c)does not correspond to any conditional independence properties.
The formal definition of conditional independence is based on the idea of conditional distributions.
These are nodes that have‘head-to-head' paths encountered in our discussion of conditional independence.
This corresponds to a strong conditional independence assumption.
To put this as a conditional independence statement, we would say-“If Intelligence is observed, then SAT and Grade are independent.”.
For now, let's look at an application of Bayesian networks,where we can use the idea of conditional independence we just learned.
Whenever the assumption of conditional independence is satisfied, the naive Bayes classification is identical to the MAP classification.
Because these statements capture an independence between two nodes subject to a condition,they are called conditional independences.
In particular, the causal diagram implies certain conditional independence or dependence relationships between sets of variables.
The conditional independence assumption of this model is clearly a strong one that may lead to rather poor representations of the class-conditional densities.
The first national flag of modern Egypt was established by a RoyalDecree in 1923 when Egypt gained conditional independence from Great Britain in 1922.
To put this as a conditional independence statement, we would say-“If Intelligence is observed, then SAT and Grade are independent.”.
It often happens that, even after we take all conditional independences into account, some nodes in a Bayesian network still have too many parents.
Now the“naïve” conditional independence assumptions come into play: assume that each feature Fi is conditionally independent of every other feature Fj for j≠i.
We end our discussion of conditional independence properties by exploring the concept of a Markov blanket or Markov boundary.
Strengths: Even though the conditional independence assumption rarely holds true, NB models actually perform surprisingly well in practice, especially for how simple they are.
Referring to suggestions of conditional independence that had been made by some think tanks over the past year, they called for Kosovo to be given immediate independence but to remain an international protectorate.
Generally, the conditional logit analysis assumes independence of irrelevant alternatives(IIA).
This means that under the above independence assumptions, the conditional distribution over the class variable C{\displaystyle C} is:.