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Paper Citation Record · LEDGER

Bayesian Optimization over Bounded Domains with the Beta Product Kernel

As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2506.16316.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.16316 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:57:09.143076Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36f4768b-324e-4ad7-8180-d02485f3981b · outbound

This paper cites Handbook of mathematical functions with formulas, graphs, and mathematical tables, volume 55.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Handbook of mathematical functions with formulas, graphs, and mathematical tables, volume 55

Reference 1

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verified fuzzy
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Observation 64f4e406-658e-41d8-a633-9e2726395c66 · outbound

This paper cites Evolutionary algorithms in theory and practice: evolution strategies, evolutionary programming, genetic algorithms.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Evolutionary algorithms in theory and practice: evolution strategies, evolutionary programming, genetic algorithms

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9a3a46a8-f056-4404-b00e-d6c8eb8d1c92 · outbound

This paper cites BoTorch: A Framework for Efficient Monte-Carlo Bayesian Optimization.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel BoTorch: A Framework for Efficient Monte-Carlo Bayesian Optimization

Reference 3

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Observation 32d3a17a-7c56-40fe-b23a-85c10dc7a754 · outbound

This paper cites The second pascal recognising textual entailment challenge.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel The second pascal recognising textual entailment challenge

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 86e21c42-ec3a-4365-ab22-085fc510baf6 · outbound

This paper cites Approximation beats concentration? an approximation view on inference with smooth radial kernels.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Approximation beats concentration? an approximation view on inference with smooth radial kernels

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 11a027f6-cb9e-4f55-a9ca-74e818b293b2 · outbound

This paper cites The fifth pascal recognizing textual entailment challenge.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel The fifth pascal recognizing textual entailment challenge

Reference 6

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Source-reported events for the cited work

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Observation 2ec674aa-6ed5-4d6e-8803-cee38c18de91 · outbound

This paper cites On lower bounds for standard and robust gaussian process bandit optimization.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel On lower bounds for standard and robust gaussian process bandit optimization

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b172e20d-7233-4e23-8d2c-addb7778082c · outbound

This paper cites Beta kernel estimators for density functions.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Beta kernel estimators for density functions

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a41d2271-db7f-4f1a-8bdb-7c16aa35afc0 · outbound

This paper cites The pascal recognising textual entailment challenge.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel The pascal recognising textual entailment challenge

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation c3451373-ff56-472c-a781-5835b8420075 · outbound

This paper cites Imagenet: A large-scale hierarchical image database.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Imagenet: A large-scale hierarchical image database

Reference 10

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Observation 606094d0-012a-478f-b175-17a326737591 · outbound

This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 11

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Observation 11298f6e-529b-4fa0-91c7-d62f6a32dfcf · outbound

This paper cites The global optimization problem: an introduction.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel The global optimization problem: an introduction

Reference 12

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verified fuzzy
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Source-reported events for the cited work

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Observation aa95df5d-b5a0-4342-ab59-5b62e5efa60c · outbound

This paper cites Automatically constructing a corpus of sentential paraphrases.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Automatically constructing a corpus of sentential paraphrases

Reference 13

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Source-reported events for the cited work

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Observation 1bf77819-cfc2-4a1f-bab7-ced34b33a581 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 14

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Observation 9b9a93fd-dc5c-405e-b236-96b7a37cf2c9 · outbound

This paper cites Additive gaussian processes.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Additive gaussian processes

Reference 15

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Source-reported events for the cited work

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Observation b6bb13c9-3b47-47e3-8e89-71c2e9beed10 · outbound

This paper cites Gpytorch: Blackbox matrix-matrix gaussian process inference with gpu acceleration.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Gpytorch: Blackbox matrix-matrix gaussian process inference with gpu acceleration

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation aa5c4d41-91b6-49fe-a2ff-a2f183f82fb1 · outbound

This paper cites The third pascal recognizing textual entailment challenge.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel The third pascal recognizing textual entailment challenge

Reference 17

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Observation 30ca3ff0-b1d9-4329-933d-c83764011fbb · outbound

This paper cites DeBERTa: Decoding-enhanced BERT with Disentangled Attention.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel DeBERTa: Decoding-enhanced BERT with Disentangled Attention

Reference 18

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Unavailable: canonical work link unavailable.

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Observation 93018e05-aee8-43a7-8745-e7bfde1cf9c0 · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel scikit-optimize/scikit-optimize: v0

Reference 19

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Source-reported events for the cited work

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Observation c4ac34bb-ad59-4fd1-a134-870db0edf7c5 · outbound

This paper cites Non-stationary spatial modeling.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Non-stationary spatial modeling

Reference 20

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Source-reported events for the cited work

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Observation 6c4defb9-601d-4e16-b40e-e947071f17c0 · outbound

This paper cites Vanilla B ayesian optimization performs great in high dimensions.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Vanilla B ayesian optimization performs great in high dimensions

Reference 21

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ece1b94e-6138-4dd7-8307-ebffe297297a · outbound

This paper cites Probability product kernels.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Probability product kernels

Reference 22

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Source-reported events for the cited work

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Observation 2e6e37bf-0288-49fd-8b92-df058dd480ca · outbound

This paper cites Efficient global optimization of expensive black-box functions.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Efficient global optimization of expensive black-box functions

Reference 23

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Observation 60ea265a-274e-414c-a8d1-e81aaa746be1 · outbound

This paper cites A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise

Reference 24

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verified fuzzy
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Source-reported events for the cited work

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Observation ebc19a72-45a3-4088-bbaa-ef62c8a710b3 · outbound

This paper cites Experimental testing of advanced scatter search designs for global optimization of multimodal functions.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Experimental testing of advanced scatter search designs for global optimization of multimodal functions

Reference 25

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Source-reported events for the cited work

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Observation 27781725-2d10-41f5-8ceb-99fa12514fa7 · outbound

This paper cites Losparse: Structured compression of large language models based on low-rank and sparse approximation.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Losparse: Structured compression of large language models based on low-rank and sparse approximation

Reference 26

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation dda26888-5783-4ec7-b6bb-f1bda1561c3a · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel A bayesian optimization framework for neural network compression

Reference 27

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Source-reported events for the cited work

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Observation 9dc85576-2992-4561-ba07-860706f36fab · outbound

This paper cites Test functions for optimization needs.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Test functions for optimization needs

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 75b78313-d99f-4e2a-9bf1-07d8a0b1e7bf · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel Spatial interpolation: an overview

Reference 29

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verified fuzzy
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Source-reported events for the cited work

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Observation 7ec8a0ec-2481-4657-8fd8-5749a1346fb8 · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel Bock: Bayesian optimization with cylindrical kernels

Reference 30

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Source-reported events for the cited work

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Observation 60f291e5-9d70-4a06-9da1-bdaeecae1e62 · outbound

This paper cites Scrambling sobol'and niederreiter--xing points.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Scrambling sobol'and niederreiter--xing points

Reference 31

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Source-reported events for the cited work

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Observation 5cd3329e-20d1-439c-80ab-46f1c27a798a · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel Nonstationary covariance functions for gaussian process regression

Reference 32

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verified fuzzy
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Source-reported events for the cited work

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Observation f8488e92-16cb-4ba6-8274-7fd332554014 · outbound

This paper cites Pytorch: An imperative style, high-performance deep learning library.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Pytorch: An imperative style, high-performance deep learning library

Reference 33

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7d70b7dd-bd05-4ce9-ab5a-55b2d10e16fc · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel Scikit-learn: Machine learning in python

Reference 34

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 70c87704-7736-4e97-959d-4924e9dc573d · outbound

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Bayesian Optimization over Bounded Domains with the Beta Product Kernel Language models are unsupervised multitask learners

Reference 35

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f9c70219-15ac-483b-b53f-56af74d8f6b3 · outbound

This paper cites SQuAD: 100,000+ Questions for Machine Comprehension of Text.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel SQuAD: 100,000+ Questions for Machine Comprehension of Text

Reference 36

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T23:57:09.084034Z digest=sha256:d1ddbca858c5ccb54edfd00944ee8134b212deef7ed8205945c6cea275cc200a

Observation 1326ef92-95a7-4f6d-b0e8-74ad1ccb1adf · outbound

This paper cites Gaussian processes in machine learning.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Gaussian processes in machine learning

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.445870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.087837Z digest=sha256:15b5ba93b7839bcd54f1efc2a90252f7f65c3ac1dab82426f5cb9c1873ddc1a5

Observation 3e4d0340-605e-43d0-8b66-707d318a7f29 · outbound

This paper cites Non-stationary spectral kernels.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Non-stationary spectral kernels

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.433916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.091417Z digest=sha256:ef901a2d40dcf1235fcc6ac036fd4fbc70c4cdb00ab49a3cd19b0281eba6fe63

Observation 4dc0615a-64f0-4b96-8fd4-c2713da520f0 · outbound

This paper cites Approximation of eigenfunctions in kernel-based spaces.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Approximation of eigenfunctions in kernel-based spaces

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.421497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.095056Z digest=sha256:85feaae9d2c2e2a37157a6366d6eab7f6d6bfb7a4f8f69acc8c0ea4080e7e79a

Observation e182a5db-8ea8-4f92-a5a4-3bbf3c510cc5 · outbound

This paper cites Tight regret bounds for bayesian optimization in one dimension.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Tight regret bounds for bayesian optimization in one dimension

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.408898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.098866Z digest=sha256:76527acb984c29dfc2a88c275507de7fa71995fed1a9a30379ea5d9322916605

Observation bc5df0a1-1713-4b21-ba72-9e5700c3daa3 · outbound

This paper cites Lower bounds on regret for noisy gaussian process bandit optimization.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Lower bounds on regret for noisy gaussian process bandit optimization

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.396566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.102494Z digest=sha256:c8b0e10886404e7b5f09c749bff786415ee2adcdb739035aad82be90d1b3f1e4

Observation c3694dfa-c4b4-4bb6-9de7-2b30886aeb96 · outbound

This paper cites Input warping for bayesian optimization of non-stationary functions.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Input warping for bayesian optimization of non-stationary functions

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.384284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.105926Z digest=sha256:370eaadb149fdcfe7ac78db983edd73aa6c22fcde42132e0d502518d061e0d6e

Observation 71cb1105-3473-4a7b-9a2d-d7a39f3c0994 · outbound

This paper cites On the distribution of points in a cube and the approximate evaluation of integrals.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel On the distribution of points in a cube and the approximate evaluation of integrals

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.371751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.109571Z digest=sha256:1d4dd47adcfc960933380988309dea79ebd06ffe6b445a3ad04d2a2cbbeb25c3

Observation ec44e9ae-76ef-4c86-9c7a-0db1d763d025 · outbound

This paper cites Gaussian Process Optimization in the Bandit Setting: No Regret and Experimental Design.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Gaussian Process Optimization in the Bandit Setting: No Regret and Experimental Design

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T23:57:09.113253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T23:57:09.113253Z digest=sha256:f8882a0119e45fb23ed964ae0ddc3d770b2580f3d543d2026881042e4ac1ddfa

Observation b06f5e31-2f9d-4008-a3a9-6f1c5e2c8623 · outbound

This paper cites Interpolation of spatial data: some theory for kriging.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Interpolation of spatial data: some theory for kriging

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.358417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.117210Z digest=sha256:f5812d4ae90d9a3031c5e34424cfa3104930d19630ca6e09de5b8744f323983a

Observation 2f0cd033-c9b0-48e5-abf0-f28a0c580e17 · outbound

This paper cites Improving Bayesian optimization for machine learning using expert priors.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Improving Bayesian optimization for machine learning using expert priors

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.344236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.120685Z digest=sha256:53e5f802d72ca536f1ab222c649abfc3a6218e499d6ce669cffcf476db7cf506

Observation 5ecb7011-f962-45f1-a421-b97d882105dd · outbound

This paper cites On information gain and regret bounds in gaussian process bandits.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel On information gain and regret bounds in gaussian process bandits

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.331465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.124087Z digest=sha256:64516997b7c2538379e8d6e03b5b11888bb5d1e15359116667fe43a4a161b818

Observation 03a5ef1d-1251-459d-a40a-68d652717e7d · outbound

This paper cites GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T23:57:09.127526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T23:57:09.127526Z digest=sha256:a1f57d8b9b8af06dfd301e34cb7fb2d068284434f4cf20dfcc966005d073c8db

Observation f3036a86-ebdd-405b-a3b9-a2a3068a3e9f · outbound

This paper cites A Broad-Coverage Challenge Corpus for Sentence Understanding through Inference.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel A Broad-Coverage Challenge Corpus for Sentence Understanding through Inference

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T23:57:09.131513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T23:57:09.131513Z digest=sha256:5d2fc6e97bd709b6cdbf4306cde88af2aceb7515279f71c4035bc9ff08a5d64b

Observation 23fbd981-e981-4cba-9362-f666ccb207fb · outbound

This paper cites Gaussian processes for machine learning, volume 2.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Gaussian processes for machine learning, volume 2

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.318419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.135583Z digest=sha256:04ba93051bc63e5d3bd813e01df67fae65ffa012815fb261fb01d445f91a61f8

Observation 966e9453-eb3d-417b-8d73-177c9e654428 · outbound

This paper cites Gaussian process kernels for pattern discovery and extrapolation.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel Gaussian process kernels for pattern discovery and extrapolation

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.304792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.139223Z digest=sha256:b038bfc6cca248dab1a4a05b0ed8d833f6e5a42263520d9ddf5a497634ca37bb

Observation 3adfb3e7-3093-4de5-8ce5-75d7f614e5b7 · outbound

This paper cites A corrected expected improvement acquisition function under noisy observations.

Bayesian Optimization over Bounded Domains with the Beta Product Kernel A corrected expected improvement acquisition function under noisy observations

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:09.291095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T23:57:09.143076Z digest=sha256:ace5e686f9705d2536c4e428e47de9bf963673b60ed491cfcd1c684180980e35

Pith citing papers

No inbound Pith citation observations are available.