Pith Number

pith:LBAF7AKM

pith:2026:LBAF7AKMKKF6P52OXUC5YISHUM

not attested not anchored not stored refs resolved

Geometry-Aware Multi-Armed Bandits for Antenna Beam Selection on Spheres, Tori, $\SO(3)$, and Reconfigurable Intelligent Surfaces

Changsheng Chen, Ning Xie, Yuriy Dorn

Intrinsic Matérn kernels on spheres, tori and discrete tori cut cumulative regret in mmWave beam selection by 25 to 45 percent versus standard codebook methods.

arxiv:2605.13005 v1 · 2026-05-13 · eess.SP

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\pithnumber{LBAF7AKMKKF6P52OXUC5YISHUM}

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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

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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

On four static 3GPP-style mmWave benchmarks, intrinsic-kernel GP-UCB reduces cumulative regret by 25–45% vs. codebook UCB1/Thompson and by 10–33% vs. Euclidean-ambient GP-UCB on the toroidal arm spaces; AdaptiveGP-v2 is statistically indistinguishable from the hand-tuned fixed-window oracle at every speed.

C2weakest assumption

That the intrinsic Matérn kernel from Borovitskiy et al. accurately captures the reward landscape on these manifolds and that per-sample marginal likelihood selection of window size W remains stable and unbiased under the non-stationarity induced by Doppler.

C3one line summary

A Kronecker-factorized intrinsic Matérn kernel renders GP-UCB tractable on RIS spaces with up to 10^90 configurations while an online marginal-likelihood adaptive window controller matches hand-tuned performance across speeds without per-deployment calibration.

References

36 extracted · 36 resolved · 0 Pith anchors

[1] RISA: Simulated annealing-based algorithm for RIS adjustment in time-varying channels, 2026

[2] Conditional-sample-mean bandits for fast beam training in reconfigurable intelligent surfaces, 2022

[3] Model-free optimization and experimental validation of RIS-assisted wireless communications under rich multipath fading, 2024

[4] Multi-armed bandits in metric spaces, 2008

[5] X-armed bandits 2011

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:00.333303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58405f814c528be7f74ebd05dc2247a30ef91a783bee9d8f0a397b01b3cb4c26

Aliases

arxiv: 2605.13005 · arxiv_version: 2605.13005v1 · doi: 10.48550/arxiv.2605.13005 · pith_short_12: LBAF7AKMKKF6 · pith_short_16: LBAF7AKMKKF6P52O · pith_short_8: LBAF7AKM

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/LBAF7AKMKKF6P52OXUC5YISHUM \
  | 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: 58405f814c528be7f74ebd05dc2247a30ef91a783bee9d8f0a397b01b3cb4c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf5662de26f9109e5962c30c3713f86957d2b483d24ca7b083c4ed844aec95a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-05-13T04:59:38Z",
    "title_canon_sha256": "4271bfb2c04e941a3f5a5b0c08b7943166b116609a12247e27c993d02d96abe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13005",
    "kind": "arxiv",
    "version": 1
  }
}