Make Gaussian Process Libtorch Compatible

[DanielYankura]

refs #30564

Reason

Utilizing Libtorch would add more capabilities to Gaussian Process

Design

Replace all Eigen::Matrices with torch::Tensors Replace methods that have a Libtorch equivalent.

Impact

This PR alone should not require re-golding of tests. However it should open up possibilities of future feature additions using libtorch.

[moosebuild]

Job Precheck, step Clang format on 6caa619 wanted to post the following:

Your code requires style changes.

A patch was auto generated and copied here
You can directly apply the patch by running, in the top level of your repository:

curl -s https://mooseframework.inl.gov/docs/PRs/30565/clang_format/style.patch | git apply -v

Alternatively, with your repository up to date and in the top level of your repository:

git clang-format e67d425ea0da66e98b07fcb260321313ef9b4315

[moosebuild]

Job Documentation, step Docs: sync website on 0b6c8fc wanted to post the following:

View the site here

This comment will be updated on new commits.

[github-actions[bot]]

This pull request has been automatically marked as stale because it has not had recent activity in the last 100 days. It will be closed in 7 days if no further activity occurs. Thank you for your contributions.