Pith Number

pith:QZDECZM4

pith:2026:QZDECZM4MHBSMRFDZEDM2KMFML

not attested not anchored not stored refs pending

Inducing Permutation Invariant Priors in Bayesian Optimization for Carbon Capture and Storage Applications

Sofianos Panagiotis Fotias, Vassilis Gaganis

A novel Gaussian Process kernel encodes permutation invariance to improve Bayesian optimization for well placement in carbon capture projects.

arxiv:2605.02409 v2 · 2026-05-04 · cs.LG

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\usepackage{pith}
\pithnumber{QZDECZM4MHBSMRFDZEDM2KMFML}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

our main contribution is a novel Gaussian Process kernel (GP-Perm) that encodes permutation invariance by comparing sets through a stable divergence between their induced empirical representations, and can be combined with standard kernels for additional vector-valued inputs.

C2weakest assumption

That the group-control mode of the high-fidelity CCS simulator produces genuine permutation symmetries that standard GP kernels cannot exploit and that the proposed divergence-based comparison will yield measurable gains in optimization performance on the Johansen formation case.

C3one line summary

A novel permutation-invariant GP kernel using set divergence is introduced for Bayesian optimization in CCS well placement and tested on synthetic benchmarks plus one real formation case.

Receipt and verification

First computed	2026-05-22T01:04:04.125162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864641659c61c32644a3c906cd298562ef6d8aca852eba846dceaa3caeac5b2c

Aliases

arxiv: 2605.02409 · arxiv_version: 2605.02409v2 · doi: 10.48550/arxiv.2605.02409 · pith_short_12: QZDECZM4MHBS · pith_short_16: QZDECZM4MHBSMRFD · pith_short_8: QZDECZM4

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/QZDECZM4MHBSMRFDZEDM2KMFML \
  | 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: 864641659c61c32644a3c906cd298562ef6d8aca852eba846dceaa3caeac5b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fd3fe0524d4719eca8ace6130ea65bc3efaf188bd20d5e7a6b880f81e4ba5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-04T09:55:35Z",
    "title_canon_sha256": "60aa450b881fad12f1facd7adcfa06884838067a41cfc48337737bfd3fa34625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.02409",
    "kind": "arxiv",
    "version": 2
  }
}