Pith Number

pith:5RZVF2NG

pith:2026:5RZVF2NGPNHX5PEXSOIKKNY3GN

not attested not anchored not stored refs pending

Tighter Information-Theoretic Generalization Bounds via a Novel Class of Change of Measure Inequalities

Deniz G\"und\"uz, Yanxiao Liu, Yijun Fan

Novel change of measure inequalities derived from the data processing inequality provide tighter bounds for generalization and privacy.

arxiv:2602.07999 v4 · 2026-02-08 · cs.IT · cs.LG · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RZVF2NGPNHX5PEXSOIKKNY3GN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

We propose novel change of measure inequalities via a unified framework based on the data processing inequality, which is surprisingly elementary yet powerful enough to yield novel, tighter inequalities.

C2weakest assumption

The data-processing inequality can be applied directly to the chosen family of information measures without additional regularity conditions that would invalidate the claimed tightness in the generalization and privacy settings.

C3one line summary

A unified data-processing framework produces tighter change-of-measure inequalities that improve information-theoretic generalization bounds across learning theory and privacy.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-28T01:04:36.582954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7352e9a67b4f7ebc979390a5371b33541edf8c52b92b3552a812075efc2946

Aliases

arxiv: 2602.07999 · arxiv_version: 2602.07999v4 · doi: 10.48550/arxiv.2602.07999 · pith_short_12: 5RZVF2NGPNHX · pith_short_16: 5RZVF2NGPNHX5PEX · pith_short_8: 5RZVF2NG

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/5RZVF2NGPNHX5PEXSOIKKNY3GN \
  | 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: ec7352e9a67b4f7ebc979390a5371b33541edf8c52b92b3552a812075efc2946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbd8325cb6e507ceb69775a9f708dbde2e034c9e6958024415aa4d5c9f3594b",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-02-08T14:53:14Z",
    "title_canon_sha256": "9c4d90faa71b5c388a348a66dcc2365b4cb313fccc88f3ff0d226dd8000eea20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.07999",
    "kind": "arxiv",
    "version": 4
  }
}