tensorflow / tensorflow/probability

Conditional Covariance

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Description

Is the line below calculated regarding conditional covariance with Schur complement?
If yes, should it be:

new_Sigma[q] :=  I -  inv(Sigma[q])

https://github.com/tensorflow/probability/blob/dc29e851e7bb4df76b3c355e80621a188aa0951c/tensorflow_probability/examples/vae.py#L82

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Research direction

Start with tensorflow_probability/examples/vae.py around line 82 and review the surrounding covariance calculation. Compare it with the conditional-covariance Schur-complement derivation, then determine whether the proposed expression is mathematically intended. Done means the expected formula is confirmed and the example or its documentation is updated accordingly.

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Assessment

Tech stack
python, tensorflow
Domain
machine-learning
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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