{
  "paper": "2512.24880",
  "adapter": "mhc",
  "dataset": {
    "name": "WikiText-2",
    "train_tokens": 180000,
    "validation_tokens": 24000
  },
  "setup": {
    "seed": 42,
    "steps": 45,
    "layers": 3,
    "dimensions": 64,
    "residual_streams": 2,
    "sinkhorn_iterations": 20
  },
  "variants": {
    "Transformer": {
      "loss": 6.1503954728,
      "perplexity": 468.9027884,
      "trainable_parameters": 225728
    },
    "HC": {
      "loss": 6.1565457384,
      "perplexity": 471.7955516,
      "trainable_parameters": 232694,
      "row_sum_error": 0.109069109,
      "column_sum_error": 0.1107015014,
      "spectral_norm_max": 1.0892173052
    },
    "mHC": {
      "loss": 6.1570440928,
      "perplexity": 472.0307316,
      "trainable_parameters": 232694,
      "row_sum_error": 0.0,
      "column_sum_error": 0.0,
      "spectral_norm_max": 1.0000001192
    }
  },
  "relative": {
    "ppl_reduction_vs_transformer_percent": -0.6670771,
    "ppl_reduction_vs_hc_percent": -0.0498479
  },
  "paper_results": {
    "benchmark_gain_percent": "2.1-2.3",
    "training_overhead_percent": 6.7
  },
  "schema_version": 2,
  "manifest_ref": "reproduction:mhc",
  "evaluation_protocol": {
    "tier": "l2_public_dataset",
    "seeds": [
      42
    ],
    "formal_comparison": false,
    "claim_policy": "single/few-seed smoke result; do not claim a stable improvement"
  },
  "provenance": {
    "artifact_path": "docs/reproductions/2512.24880-mhc/metrics/wikitext2-seed42.json",
    "historical_migration": "historical-metrics-v2-2026-08-09",
    "original_code_commit": "not recorded",
    "dataset_fingerprint": "not recorded in historical artifact"
  }
}