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[yuta-nakahara]

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[Copilot]

Pull Request Overview

This PR primarily updates the documentation across multiple packages and examples in BayesML while adding new navigation entries for the “fit” and “predict” methods. Key changes include:

• Inclusion of new TOC entries and updated example descriptions for methods such as LearnModel.fit() and LearnModel.predict() in various HTML documentation pages.
• Revision and clarification of docstrings in the metatree module (e.g. update_posterior) along with an adjustment of a parameter (num_exchange changed from 8 to 4) in the replica exchange MCMC algorithm.
• Updates to README(s) and contributing guidelines (including author email updates, version bumps from 0.3.0 to 0.3.1, and textual improvements).

Reviewed Changes

Copilot reviewed 33 out of 37 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
docs/*.html	Updated TOC entries and method descriptions for consistency and clarity
doc/conf.py	Added an extra intersphinx mapping entry for scikit-learn
bayesml/metatree/_metatree.py	Expanded docstring for update_posterior; modified num_exchange from 8 to 4
bayesml/metatree/init.py	Revised introductory documentation and mathematical notation for clarity
README.md and README_jp.md, CONTRIBUTING(.*).md	Updates to author emails, version number, and improved tutorial/documentation content
Jupyter notebook examples	Expanded explanation cells and updated output text to better reflect the new API design

Files not reviewed (4)

• doc/developers.rst: Language not supported
• doc/index.rst: Language not supported
• docs/_sources/developers.rst: Language not supported
• docs/_sources/index.rst: Language not supported