Add general info form message passing algorithms for linear Gaussian SSMs

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
30/100
Issue type
Feature
Clarity
Mostly clear
Activity status
Stale
Tech stack
python

Research direction

Start by comparing the linked block-tridiagonal routines in ssm-jax and ssm/messages.py with the repository's LGSSM info inference code. Add equivalent routines that operate directly on the block tridiagonal precision matrix and precision-weighted mean, including the information-form samplers and smoothers described in the issue; done means these routines are available in the LGSSM info inference code.

Written by the indexing model from the issue text.

Description

The current versions of information form message passing for LGSSMs use a hybrid representation of dynamics parameters and information form emission parameters. It is often helpful to have routines that operate directly on the block tridiagonal precision matrix and the precision-weighted mean. Examples of such implementations are:

(I've also written information form samplers and smoothers in JAX, along the lines of the last two links.)

We should add similar inference routines to the LGSSM info inference code.

Dominant language
Python
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Avg merge
19h 14m
Merged PRs (30d)
1

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