Paper Citation Record · LEDGER

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 6 inbound Pith citation observations for arXiv:2605.28746.

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

pith.paper-citation-record.v1
2605.28746 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T10:27:54.649577Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T10:35:31.109105Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T14:19:54.770901Z

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2627780-dbff-4e23-99f8-f7dfb9e9e86e · outbound

This paper cites On the properties of theR2 indicator.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity On the properties of theR2 indicator

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70983b1d-ddcb-4f69-a7f9-ad69d3564fe0 · outbound

This paper cites Expected hypervolume improvement is a particular hypervolume improvement.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Expected hypervolume improvement is a particular hypervolume improvement

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d8c537d-df5f-4c34-9b34-bf4ee05c957e · outbound

This paper cites H., Emmerich, M.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity H., Emmerich, M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation daf13825-2349-4507-b91e-80dfea3c4924 · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33116c59-195b-46be-bc3b-aefbab1cf94a · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db22c26e-1dfc-4266-9017-bf4be5409893 · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b91a026-77f4-45d2-934e-e60c181e2834 · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a26f7913-1f3b-49af-b120-1a5e1e0a1f2e · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b1d31b3-fc51-4eb7-98c7-4104a93b21e1 · outbound

This paper cites The Magnitude of Dominated Sets: A Pareto Compliant Indicator Grounded in Metric Geometry.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity The Magnitude of Dominated Sets: A Pareto Compliant Indicator Grounded in Metric Geometry

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-06-29T13:23:28.664441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 21c33671-859c-410a-b061-c7a398363924 · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03793a31-a9fd-435a-846e-b9f84d8304e4 · outbound

This paper cites and Zielniewicz, P.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity and Zielniewicz, P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01252a0c-6da1-46bc-b5c8-5f7fc9f52fcd · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19fa8bee-fc2a-47be-8d50-ec5149621668 · outbound

This paper cites and Kerschke, P.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity and Kerschke, P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a0922ce-e5d9-48be-873a-f4e737034542 · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d059cb2e-5e08-43af-a927-117cec82a6b7 · outbound

This paper cites an unresolved cited work.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 522285b5-62cd-4c06-91e8-c2c2c9e6cc65 · outbound

This paper cites Preference articulation by means of the R2 indicator.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity Preference articulation by means of the R2 indicator

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 600ba3ae-70ad-413e-8859-760e94b0a662 · outbound

This paper cites H., Bäck, T., and Emmerich, M.

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity H., Bäck, T., and Emmerich, M

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T10:27:54.649577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation aef8bf05-0b19-42d1-8bd1-ea535208b06b · inbound

Exact and Fast Subset Selection Algorithms for the Bi-objective Integral R2 Indicator cites this paper.

Exact and Fast Subset Selection Algorithms for the Bi-objective Integral R2 Indicator Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-04T12:49:52.269541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b6f084a7-8fc1-440f-95ca-7eb7835a857f · inbound

Three-Objective Integral R2 Subset Selection: NP-Hardness and Submodular Approximation cites this paper.

Three-Objective Integral R2 Subset Selection: NP-Hardness and Submodular Approximation Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-04T14:19:54.772240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6e5b45f4-b321-4fc3-907c-179ed6eeb4a5 · inbound

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition cites this paper.

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-06-30T02:54:10.335015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7efbcdca-68f5-44d5-992a-9675c04234d0 · inbound

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition cites this paper.

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:47:22.480252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bf8bddec-32e2-4c87-a808-ca616a2bbb40 · inbound

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition cites this paper.

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-03T22:28:59.730496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a3b5abc4-c203-40e9-93d5-c8a4a85e45f9 · inbound

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition cites this paper.

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T10:35:31.109105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.