paper_scale_500seed/summary.json

{
  "paper": {
    "title": "On the Power of Source Screening for Learning Shared Feature Extractors",
    "openreview_id": "dTMrITkTr5",
    "arxiv": "2602.16125v2"
  },
  "config": {
    "seed_start": 0,
    "seeds": 500,
    "d": 20,
    "k": 4,
    "n": 30,
    "minority_fraction": 0.2,
    "m_values": [
      25,
      50,
      100,
      200,
      400
    ],
    "noise_std": 1.0,
    "device": "cuda"
  },
  "runtime_seconds": 17.163554191589355,
  "device": {
    "requested": "cuda",
    "torch_device": "cuda",
    "cuda_available": true,
    "cuda_name": "Tesla T4",
    "torch_version": "2.13.0+cu130",
    "cuda_version": "13.0"
  },
  "environment": {
    "python": "3.12.12",
    "platform": "Linux-6.12.90-120.164.amzn2023.x86_64-x86_64-with-glibc2.36",
    "git_commit": null,
    "job_id": "6a598557b1669a49bf078be9"
  },
  "paired_cells_with_positive_mean": 3,
  "paired_cells_total": 15,
  "paired_cells_ci95_strictly_positive": 2,
  "claim_scope": "Tests the oracle-balanced mechanism underlying Figure 1. It is not an implementation or validation of printed Algorithm 1 or heuristic Algorithm 2.",
  "constant_audit": {
    "literal_smallest_nonnegative_c": 0.0,
    "largest_positive_c_satisfying_printed_inequality": 1.2187994935274663e-06,
    "minimum_stable_rank_to_avoid_empty_return_at_largest_c": 820480,
    "paper_default_k": 6,
    "algorithm_returns_empty_at_paper_default_because_stable_rank_le_k": true,
    "printed_inequality_lhs_at_c_max": 0.5
  },
  "theorem_reduction_audit": {
    "head_counts": [
      80,
      40,
      40,
      40
    ],
    "standardized_columns": true,
    "M": 200,
    "k": 4,
    "n": 30,
    "N": 6000,
    "lambda_k_full": 0.2,
    "lambda_k_ge_1_over_n": true,
    "selected_clients": 160,
    "k_times_lambda_min_AAT": 160,
    "selected_condition_number": 1.0,
    "N_prime": 4800,
    "lambda_1_prime": 0.25,
    "lambda_k_prime": 0.25,
    "sqrt_d_over_N_lambda_k": 0.12909944487358055,
    "subset_split_bound_term": 0.12909944487358055,
    "algebraic_ratio": 1.0,
    "spectral_condition_ratio_normA2_over_M_over_k": 1.6,
    "scope": "Concrete exact witness and proof-reduction check; not a proof of universal existence."
  }
}