Learn Before
Conditional Probability With do() Versus Without
Suppose we want to find the probability that a patient avoids the flu () given they received the flu shot (). The difference between conditional probability with the operator and without is:
- With the operator (): The probability that a typical patient would avoid the flu if they were assigned to get the shot (by intervention, removing personal choice).
- Without the operator (): The probability that a patient avoided the flu given they were observed to take the flu shot. This represents the observed frequency of flu avoidance among patients who volunteered to get the shot.
0
3
Contributors are:
Who are from:
Tags
Data Science
Related
Different uses of do() operator
On the Interpretation of do(x)
Question of do(x) in Structural Causal Modeling (SCM)
The Semantics of Q
Testing do(x) Claims
Causal Definition of Confounder
Conditional Probability With do() Versus Without
Chain Rule
Autoregressive Conditional Probability
General Notation for Conditional Probability Models
Prediction via Optimization
A language model is analyzing a text corpus of 10,000 two-word phrases. The analysis reveals the following counts:
- The word 'deep' is the first word in 400 phrases.
- The word 'learning' is the second word in 250 phrases.
- The specific phrase 'deep learning' occurs 80 times.
Based on this data, what is the probability that the second word of a phrase is 'learning', given that the first word is 'deep'?
Predictive Text Model Comparison
Interpreting Conditional Probabilities in Text
Conditional Probability With do() Versus Without