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Research and Analysis

Performance research, optimization analysis, and experimental features.

Early planning docs (archived)

An early (2025-11-11) never-executed planning pair — RESEARCH_INITIATIVES.md and RESEARCH_TRACKING.md — is preserved under docs/archive/research/. Its premise (an OptimizedDawg deprecation analysis) has since been resolved: OptimizedDawg was removed from the source tree, so the proposals it framed are superseded.

Contents

Future Enhancements

Exploration of potential future enhancements:

  • Proposed features
  • Technical feasibility
  • Performance impact analysis
  • Implementation considerations

Research Areas

Lowrance–Wagner unrestricted Damerau distance

Scientific and engineering reading of the 1975 recurrence:

  • last-occurrence transposition macro
  • budget-bounded streaming refinement
  • cost-equivalence equation
  • implementation, proof, and resource obligations

Edit distance with Real Penalty

Scientific analysis of Chen and Ng's ERP measure:

  • exact recurrence and source examples
  • raw-sequence pseudometric versus $g$-quotient identity
  • gap-mass and interval lower-bound derivations
  • implementation, test, and formal-proof mapping

Discrete Fréchet distance

Scientific analysis of Eiter and Mannila's coupling distance:

  • coupling semantics and the complete Table 1 recurrence
  • raw vectors versus identity modulo consecutive-duplicate collapse
  • pinned-endpoint, one-sided-Hausdorff, and interval-bound derivations
  • bottleneck-monoid, implementation, test, and formal-proof mapping

Time Warp Edit Distance

Scientific analysis of Marteau's timestamp-aware segment edit distance:

  • unit-spaced recurrence and accumulated empty boundaries
  • carry-aware interval match/deletion minima and length lower bound
  • strict metric-domain correction and zero-parameter counterexample
  • API, testing, security, and heterogeneous formal-proof mapping

SIMD Optimization

Research and implementation of SIMD optimizations:

  • Vectorization opportunities
  • Performance measurements
  • Implementation phases
  • Results and conclusions

Distance Optimization

Levenshtein distance computation optimization research:

  • Algorithm improvements
  • Implementation techniques
  • Benchmark results
  • Roadmap for future work

Comparative Analysis

Comparative analysis of different approaches and implementations:

  • Algorithm comparisons
  • Backend performance analysis
  • Trade-off evaluations

Eviction Wrapper

Cache eviction strategy research and design:

  • Eviction policy evaluation
  • Implementation architecture
  • Performance characteristics

Related Documentation

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