Paper Citation Record · LEDGER

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.01552.

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

pith.paper-citation-record.v1
2506.01552 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:26.993328Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

22 of 22 outbound references displayed

verified exact0
verified fuzzy13
unresolved8
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c27cbc84-71b0-413d-88c1-da00114a9ac2 · outbound

This paper cites an unresolved cited work.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:49:31.388860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2048af5a-ca15-4f8f-a5f6-ea24406b59b4 · outbound

This paper cites Let L : N × L →R satisfy Equations (2) and (3).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Let L : N × L →R satisfy Equations (2) and (3)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:31.147256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 168571db-ef5c-4a3c-bbf6-e8ea93c33089 · outbound

This paper cites This is independant of the input probability distribution p and can be performed beforehand.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers This is independant of the input probability distribution p and can be performed beforehand

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:30.569689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 10f3ca56-861e-4d9f-a669-54ca3f56fca4 · outbound

This paper cites For each k in {1.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers For each k in {1

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:27.679320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8b87e6b1-a977-432a-88e2-8bfe01c182c3 · outbound

This paper cites |Q(p)|}.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers |Q(p)|}

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:27.537510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9d1f2cc6-cd10-4cdf-b0fc-3ec80a705a54 · outbound

This paper cites (Algorithm 3).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers (Algorithm 3)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:30.978037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e08226fd-4ad7-4e05-8ac3-409b27b0478a · outbound

This paper cites It outputs a candidate set S which can all be the optimal prediction (Algorithm 4).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers It outputs a candidate set S which can all be the optimal prediction (Algorithm 4)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:30.815882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8bd48d3b-c698-4e2a-9151-ffe5b2db7210 · outbound

This paper cites an unresolved cited work.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:49:30.403275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d5220d9e-df9e-41e6-b84c-e2d22f02bab0 · outbound

This paper cites Let L : N × L →R be a hierarchical metric that satisfy Equations (3) and (4).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Let L : N × L →R be a hierarchical metric that satisfy Equations (3) and (4)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:30.290132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c38d2c4-35cd-4485-bc61-00338b530549 · outbound

This paper cites (Algorithm 3).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers (Algorithm 3)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:30.116930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2881c0e1-1539-4bb7-bc27-8751fdf3149c · outbound

This paper cites It outputs a candidate set S which can all be the optimal prediction (Algorithm 7).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers It outputs a candidate set S which can all be the optimal prediction (Algorithm 7)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:29.959949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 515800f6-cce2-4de5-b785-d4b43ed8d8f3 · outbound

This paper cites Let us now prove that |S| = O(dmax).

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Let us now prove that |S| = O(dmax)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:29.657047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 586eeb2c-9e65-422a-895c-399ef2f624b0 · outbound

This paper cites an unresolved cited work.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:49:29.477922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 763a2d23-ce54-486d-aca8-288f15b7ed5a · outbound

This paper cites an unresolved cited work.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:49:29.151773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f89af706-b4d3-49d2-b704-6d840934739e · outbound

This paper cites an unresolved cited work.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:49:28.861313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 597c06ae-e732-47f9-872b-3901778622e7 · outbound

This paper cites This is performed through a tree traversal which visit exactly once each node.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers This is performed through a tree traversal which visit exactly once each node

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:28.578248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b6320cc4-fbdf-4458-810f-9a1dce74a19a · outbound

This paper cites Similarly, it is a tree traversal which has O(|N |) time complexity.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Similarly, it is a tree traversal which has O(|N |) time complexity

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:28.308943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c6657f78-5d1f-4b6e-82e1-802726cb8ca8 · outbound

This paper cites This is also performed through a tree traversal which visit at most each node one.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers This is also performed through a tree traversal which visit at most each node one

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:49:27.954997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ded0b215-e8ca-4ebc-adf5-277471394fec · outbound

This paper cites Amigo, E.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Amigo, E

Reference 1973

Resolution: unresolved; no resolver link, observed 2026-08-07T11:49:24.548042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94ef1a4c-851f-4e8f-9e74-cd0cb486cf72 · outbound

This paper cites Dosovitskiy, A., Beyer, L., Kolesnikov, A., Weissenborn, D., Zhai, X., Unterthiner, T., Dehghani, M., Minderer, M., Heigold, G., Gelly, S., Uszkoreit, J., and Houlsby, N.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Dosovitskiy, A., Beyer, L., Kolesnikov, A., Weissenborn, D., Zhai, X., Unterthiner, T., Dehghani, M., Minderer, M., Heigold, G., Gelly, S., Uszkoreit, J., and Houlsby, N

Reference 1999

Resolution: malformed identifier; doi_truncated, observed 2026-08-07T11:49:27.347026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 74eee71f-db00-4b3e-a6a0-4800ab89eb82 · outbound

This paper cites ISBN 158113391X.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers ISBN 158113391X

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-08-07T11:49:24.909716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f05bd33-2cb5-40f4-826f-f9ed1daa6ec7 · outbound

This paper cites Meta-Learning for Semi-Supervised Few-Shot Classification.

To Each Metric Its Decoding: Post-Hoc Optimal Decision Rules of Probabilistic Hierarchical Classifiers Meta-Learning for Semi-Supervised Few-Shot Classification

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-07T11:49:24.812790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.