Robust Gaussian Processes via Relevance Pursuit

[SebastianAment]

Summary: This commit adds the implementation of the Robust Gaussian Processes via Relevance Pursuit models and algorithms of the NeurIPS 2024 article.

Differential Revision: D65343571

[facebook-github-bot]

This pull request was exported from Phabricator. Differential Revision: D65343571

[codecov]

Codecov Report

Attention: Patch coverage is 59.83607% with 196 lines in your changes missing coverage. Please review.

Project coverage is 98.89%. Comparing base (3ca48d0) to head (4684fac).

Files with missing lines	Patch %	Lines
botorch/models/relevance_pursuit.py	48.90%	164 Missing ⚠️
botorch/models/likelihoods/sparse_outlier_noise.py	73.04%	31 Missing ⚠️
botorch/test_functions/synthetic.py	96.66%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2608      +/-   ##
==========================================
- Coverage   99.98%   98.89%   -1.10%     
==========================================
  Files         196      198       +2     
  Lines       17372    17858     +486     
==========================================
+ Hits        17370    17660     +290     
- Misses          2      198     +196     

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