Extensively expand research paper on MRF Compiler

- Expand from 13 to 23 pages with comprehensive content
- Add detailed theoretical background on PGMs, Bayesian Networks, and MRFs
- Include extensive CPT (Conditional Probability Table) documentation
- Add detailed mathematical derivations for Ising encoding
- Expand graph moralization section with theoretical justification
- Add comprehensive clique finding discussion with complexity analysis
- Include detailed examples with Bayesian networks and CPTs
- Add extensive performance analysis with benchmarks and tables
- Expand results section with correctness verification methods
- Add applications and use cases section
- Include comparison with alternative approaches
- Expand future work with detailed roadmap
- Add 20+ additional academic references
- Enhance conclusion with impact and significance discussion
- All sections significantly expanded with more depth and detail

Author: Shyamal Suhana Chandra