Pith Number

pith:ZICGYLA2

pith:2022:ZICGYLA2UWRQ2YHZ2C5J7GFFCA

not attested not anchored not stored refs pending

Privacy-Preserving Logistic Regression Training with A Faster Gradient Variant

John Chiang

A quadratic gradient variant lets enhanced optimizers train logistic regression on encrypted data with plaintext-level performance in four iterations.

arxiv:2201.10838 v18 · 2022-01-26 · cs.CR · cs.LG

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\usepackage{pith}
\pithnumber{ZICGYLA2UWRQ2YHZ2C5J7GFFCA}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

By incorporating this quadratic gradient, we enhance Nesterov's Accelerated Gradient (NAG), Adaptive Gradient (AdaGrad), and Adam algorithms... achieving comparable performance within only four iterations.

C2weakest assumption

The quadratic gradient can be computed and applied under homomorphic encryption with negligible extra cost while preserving the claimed convergence properties and numerical stability across datasets.

C3one line summary

Introduces quadratic gradient to enhance NAG, AdaGrad and Adam for logistic regression, claiming SOTA convergence and comparable encrypted training performance in four iterations.

Cited by

1 paper in Pith

Quasi-Quadratic Gradient: A New Direction for Accelerating the BFGS Method in Quasi-Newton Optimization

Receipt and verification

First computed	2026-06-02T02:04:44.486758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca046c2c1aa5a30d60f9d0ba9f98a51008139ec40fc855d3305c5c63af310086

Aliases

arxiv: 2201.10838 · arxiv_version: 2201.10838v18 · doi: 10.48550/arxiv.2201.10838 · pith_short_12: ZICGYLA2UWRQ · pith_short_16: ZICGYLA2UWRQ2YHZ · pith_short_8: ZICGYLA2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZICGYLA2UWRQ2YHZ2C5J7GFFCA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ca046c2c1aa5a30d60f9d0ba9f98a51008139ec40fc855d3305c5c63af310086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e05f06c6ff4bffd189f844c3ded8f1caf9282e5e402b767cbfed8894024ac6a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2022-01-26T09:44:13Z",
    "title_canon_sha256": "1d2632be5ccecc44ef3851a649128ebc5346e884772cfca8155bb4604a68df97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10838",
    "kind": "arxiv",
    "version": 18
  }
}