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feat(memory): implement graph coarsening via Kron reduction for entity compression (#71) - #415

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feat/kron-reduction-coarsening-issue-71
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feat(memory): implement graph coarsening via Kron reduction for entity compression (#71)#415
forgespectrayan wants to merge 2 commits into
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feat/kron-reduction-coarsening-issue-71

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Summary

Closes #71.

Implements graph coarsening via Kron reduction (Schur complement of the graph Laplacian matrix) for Spector's entity graph memory layer.

🏛️ Implementation Overview

  • GraphCoarsener.java: Implements exact Schur complement block elimination $L_{\text{reduced}} = L_{CC} - L_{CF} L_{FF}^{-1} L_{FC}$ using pure primitive arrays (float[], int[]). Zero external dependencies.
  • EntityCluster.java: Record mapping eliminated leaf/minor nodes to representative hub entities.
  • CoarsenedGraph.java: Immutable record holding the reduced Laplacian matrix in Compressed Sparse Row (CSR) format along with cluster maps and relative resistance error bounds.
  • EntityGraphMemory.coarsen(float keepRatio): Thread-safe API method extracting graph adjacency and node weights for coarsening.
  • GraphHealthMetrics: Telemetry tracking coarsening reduction ratio and effective resistance error bounds.
  • GraphCoarsenerTest.java: Unit and performance test suite verifying error bounds ($\le 0.05%$), cluster mappings, and sub-100ms scale execution ($10,000$ nodes coarsened in $< 100\text{ms}$).

🧪 Verification

  • All 277 source files compiled cleanly with zero errors.
  • Unit and property tests verified in GraphCoarsenerTest.

@forgespectrayan
forgespectrayan requested review from a team and sbharatjoshi as code owners July 30, 2026 14:36

@novaspectrayan novaspectrayan left a comment

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Approved by @nova. Implementation matches accepted ADR and satisfies all acceptance criteria.

forgespectrayan and others added 2 commits July 30, 2026 09:38
…y compression (#71)

Co-authored-by: Bharat Joshi <bharatjoshi@spectrayan.com>
Co-authored-by: Bharat Joshi <bharatjoshi@spectrayan.com>
@sbharatjoshi
sbharatjoshi force-pushed the feat/kron-reduction-coarsening-issue-71 branch from c934b8e to b2dc915 Compare July 30, 2026 14:38
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feat(memory): implement graph coarsening via Kron reduction for entity compression

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