Feature/scientific machine learning

[dimtsap]

VI-HMC

Implemented VI-HMC for neural networks and neural operators

Description

Added additional functionality as a VI_HMC trainer. This trainer can train a Bayesian network using VI-HMC approach.

Related Issue

This is a new feature

Motivation and Context

Why is this change required? What problem does it solve?

How Has This Been Tested?

The code is tested using following the standards of UQpy.

Types of changes

What types of changes does your code introduce? Put an x in all the boxes that apply:

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)

Checklist:

Go over all the following points, and put an x in all the boxes that apply.
If you're unsure about any of these, don't hesitate to ask. We're here to help!

• My code follows the code style of this project.
• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have read the CONTRIBUTING document.
• I have added tests to cover my changes.
• All new and existing tests passed.

[dimtsap]

@ponkrshnan Could you remove the deadlines here as well?