{
  "id": "eisenbrand-venzin20-cvp-lp-approx",
  "categoryId": "cvp-constant-approximation-lp",
  "paperId": "eisenbrand-venzin-2020",
  "year": 2020,
  "date": "2020-06-16",
  "time": {
    "coefficient": 0.802,
    "expression": "2^{(0.802 + ε)n}, for every fixed ε > 0"
  },
  "space": {
    "coefficient": 0.401,
    "expression": "2^{(0.401 + ε)n}"
  },
  "tags": [
    "ℓp norms",
    "constant approximation",
    "full rank"
  ],
  "review": {
    "status": "source-checked"
  },
  "certificate": {
    "status": "not-provided",
    "lean": null
  },
  "notes": "Theorem 3.2 covers p ≥ 2; §4 extends the result to 1 ≤ p < 2. For each time slack ε the guarantee uses a constant approximation factor depending on ε. The general-ℓp result is dated to v2; v1 on 11 May covered ℓ∞.",
  "extra": {
    "norm": "Any fixed ℓp, 1 ≤ p ≤ ∞; full-rank L ⊂ R^n",
    "approximation": "γ(p,ε) = O_{p,ε}(1); not a fixed 1.97 or exact guarantee",
    "preprocessing": "Included",
    "success": "Constant probability, amplifiable",
    "model": "Classical randomized list sieve; polynomial input-size factors suppressed"
  },
  "evidence": {
    "url": "https://arxiv.org/pdf/2005.04957v2",
    "locator": "Theorem 3.2; §4 for p < 2; §1 ambient-dimension discussion",
    "sourceVersion": "arXiv:2005.04957v2, 16 June 2020"
  }
}