Research Framework
Advancing Applied Mathematics & Optimization
#Gyan Labs conducts independent scientific investigations at the intersection of applied mathematics, operations research, and artificial intelligence. Our research program focuses on constrained decision-making under operational uncertainty, algorithmic verification, and the development of reproducible computational benchmarks.
Research Independence & Disclosure: #Gyan Labs is the research and technology brand operated by HashGyan, an Ontario-registered business. Non-commercial scientific research activities described here are pursued independently from commercial AI product engineering and client consulting services.
Methodology & Standards
Scientific Research Methods
Our research methodology emphasizes rigorous mathematical foundations, reproducible codebases, and verifiable algorithmic execution.
Mathematical Modeling
Formulating decision challenges through graph theory, combinatorial optimization, linear and integer programming, and constrained operational models.
Computational Experiments
Developing transparent Python-based simulation frameworks, leveraging Google OR-Tools solvers, and executing structured comparative benchmarks.
Algorithmic Validation
Verifying solution feasibility through constraint checking, exhaustive enumeration on tractable subsets, and documented regression procedures.
Open Science
Reproducibility & Research Software
We support open scientific methodology. Where confidentiality and proprietary rights permit, we plan to release documented test instances, validation scripts, and benchmark results to the broader research community.
Reproducible Experiments
Documenting exact mathematical assumptions, problem bounds, parameter settings, and computational validation pipelines.
Open-Source Benchmarks
Planned public availability of selected routing datasets and baseline implementations on GitHub following peer review.