Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:15:54.552644Z
Paper Citation Record · LEDGER
Statistical inference for quantum singular models
As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2411.16396.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:58:15.495590Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T12:58:16.788990Z
Reference resolution
33 of 33 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved14
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- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 54f2296f-566b-47c1-80c2-ec052ad1b774 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 1
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- raw_fallback, observed 2026-08-12T13:15:55.288938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7fc08996-3aa1-4cc8-9a31-9ac024621096 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 2
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- raw_fallback, observed 2026-08-12T13:15:55.265671Z
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Observation ee17982a-ece6-4f7b-a521-149c9133c692 · outbound
This paper cites homogeneous.
Statistical inference for quantum singular models homogeneous
Reference 3
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Observation bc5832d9-6cb9-4a09-bb51-a8e0534e5955 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 4
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Observation 4b32e7fa-93dd-4ce3-9fb2-0a830ca7deee · outbound
This paper cites In particular, under Assumption R1, Assumption R2 is equivalent to Assumption S2.
Statistical inference for quantum singular models In particular, under Assumption R1, Assumption R2 is equivalent to Assumption S2
Reference 5
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Observation 83eb7759-c85c-4b94-ad23-53be369f38bf · outbound
This paper cites Before introducing the real log canonical thresholds, let us briefly recall the results on the log resolution of singularities, originally proved by Hironaka [88, 89].
Statistical inference for quantum singular models Before introducing the real log canonical thresholds, let us briefly recall the results on the log resolution of singularities, originally proved by Hironaka [88, 89]
Reference 6
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Observation 8b77634c-1d2a-469e-94b1-181d6341fc77 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 8
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- raw_fallback, observed 2026-08-12T13:15:55.151912Z
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a6a09f2e-7c6b-460a-a1c9-96b5c28d3685 · outbound
This paper cites 31 For our purposes, we refer to an alternative version of this theorem that is more directly applicable to our context, as Atiyah wrote [86].
Statistical inference for quantum singular models 31 For our purposes, we refer to an alternative version of this theorem that is more directly applicable to our context, as Atiyah wrote [86]
Reference 9
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Observation ce7467a1-c2b2-4598-a4f3-a1991d39ba78 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 10
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Observation c44450b4-da09-4999-bca5-052e3016616f · outbound
This paper cites Moreover, if f(x)≥ 0 for any x, then the integers κ1,··· ,κd are even.
Statistical inference for quantum singular models Moreover, if f(x)≥ 0 for any x, then the integers κ1,··· ,κd are even
Reference 11
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Observation b87d7e3e-700b-4964-bec7-c7e16a99b65a · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 12
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6e53ff3d-08de-482e-9112-dde6a493f537 · outbound
This paper cites It is known that the smallerλ is, the worse the singularity in algebraic geometry.
Statistical inference for quantum singular models It is known that the smallerλ is, the worse the singularity in algebraic geometry
Reference 13
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Observation 8882135a-3306-4b2a-b4fe-76bf4a16f068 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 14
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Observation cd2dc810-0cb6-482a-9c2f-813966eaf590 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 15
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Observation 9b272230-ded9-4d08-bd02-0b1a43077a3b · outbound
This paper cites We denote by I := I(θ0) and J := J(θ0).
Statistical inference for quantum singular models We denote by I := I(θ0) and J := J(θ0)
Reference 16
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Observation 76feb433-9f14-4244-a682-9c9ac0aafde1 · outbound
This paper cites Definition B.9.
Statistical inference for quantum singular models Definition B.9
Reference 17
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Observation f53236e3-be03-4658-9259-00d897b680ba · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 18
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4c83cbaf-7602-4461-9772-df6fb468664f · outbound
This paper cites all models are wrong.
Statistical inference for quantum singular models all models are wrong
Reference 19
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Observation e6a45e8b-39ae-47a8-bb5a-d0f364e5eb86 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 20
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Observation e01e843f-4cbc-4cff-a597-882f79ea68e1 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 21
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Observation 588a9225-c50b-4907-a346-d6297322899d · outbound
This paper cites Remark C.7.
Statistical inference for quantum singular models Remark C.7
Reference 22
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Observation 01e7955d-9a13-4262-96f7-56b1dd31223f · outbound
This paper cites In such cases, the Hessian of the KL divergence degenerates, which hinders the formulation of a learning theory in the same way as in regular cases.
Statistical inference for quantum singular models In such cases, the Hessian of the KL divergence degenerates, which hinders the formulation of a learning theory in the same way as in regular cases
Reference 23
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Observation 7b71306a-3307-437f-8c1e-8f71632e6d2c · outbound
This paper cites In other words, λ := min i {2ki + 1 hi } , where ki and hi are defined through a log resolution of singularities Eq.
Statistical inference for quantum singular models In other words, λ := min i {2ki + 1 hi } , where ki and hi are defined through a log resolution of singularities Eq
Reference 24
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Observation 7f0d0258-2c24-4b39-ba66-89b93c178cf2 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 25
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Observation 4d8fe7b9-1a39-4977-9669-c1a8e2007b68 · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 26
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Observation aa36649f-e7b5-4034-ab42-772ecf0ea4f0 · outbound
This paper cites The origin of this is the state density formula and the Mellin transformation.
Statistical inference for quantum singular models The origin of this is the state density formula and the Mellin transformation
Reference 27
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 29aa5b61-8866-4450-9657-3bfd1a9b6d15 · outbound
This paper cites Note that V (ξn) is a functional of ξn because Vθ[·] depends on ξn.
Statistical inference for quantum singular models Note that V (ξn) is a functional of ξn because Vθ[·] depends on ξn
Reference 28
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Observation e44e5d30-b4e3-4ef2-81a9-de2b507b47cb · outbound
This paper cites an unresolved cited work.
Statistical inference for quantum singular models Unresolved cited work
Reference 29
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Observation f430c079-ec8a-491a-89a6-6d28adc8db44 · outbound
This paper cites Now, though we omit the details of the proof here, let us state that WAIC is a generalization of AIC in the following sense.
Statistical inference for quantum singular models Now, though we omit the details of the proof here, let us state that WAIC is a generalization of AIC in the following sense
Reference 30
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Observation a3c43dab-f145-44f3-a4e6-5dd5add3a547 · outbound
This paper cites Definition D.1.
Statistical inference for quantum singular models Definition D.1
Reference 31
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Observation 66ec114c-e962-4147-88ac-869686fd3cff · outbound
This paper cites This assumption allows us to utilize the benefits coming from the classical and quantum statistics in view of the Fisher information matrix.
Statistical inference for quantum singular models This assumption allows us to utilize the benefits coming from the classical and quantum statistics in view of the Fisher information matrix
Reference 32
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Observation 9d5a20bc-d089-496b-8d03-578277c85cae · outbound
This paper cites To define WAIC, one had to assume an L2 and finiteness property of the classical log-likelihood ratio function.
Statistical inference for quantum singular models To define WAIC, one had to assume an L2 and finiteness property of the classical log-likelihood ratio function
Reference 33
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Observation 937b1c8d-23e7-4777-9b3a-71f5ad15e945 · outbound
This paper cites We present the theorem relevant to our discussion: Theorem B.1.
Statistical inference for quantum singular models We present the theorem relevant to our discussion: Theorem B.1
Reference 88
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Pith citing papers
Observation 1ccb47dd-8d10-440d-afe7-9101edcb40af · inbound
On Quantum and Quantum-Inspired Maximum Likelihood Estimation and Filtering of Stochastic Volatility Models cites this paper.
On Quantum and Quantum-Inspired Maximum Likelihood Estimation and Filtering of Stochastic Volatility Models Statistical inference for quantum singular models
Reference 291
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