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Paper Citation Record · LEDGER

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2412.08772.

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

pith.paper-citation-record.v1
2412.08772 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:42:11.881356Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:43:25.811639Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T18:16:17.926450Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bcf7e02-0070-4a63-ad00-8f616a67625f · outbound

This paper cites Liberzon.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Liberzon

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T17:42:11.831332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:42:11.831332Z digest=sha256:cd3a194ec4f3a6f9f2559016fcf2d427e8952943f095109ce97a317c0a4c8c4b

Observation 0085845e-8e23-4659-a392-25ef4c45502e · outbound

This paper cites Pontryagin, V.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Pontryagin, V

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T17:42:11.837095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:42:11.837095Z digest=sha256:293de3798ac3f630b56ec49e4d5ab3ca4d900a4378d113b773a381e7b0fd3977

Observation 97f0fa51-aeab-4daf-a63a-5130d82a0003 · outbound

This paper cites A successive approximation method in functional spaces for hierarchical optimal control problems and its application to learning.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems A successive approximation method in functional spaces for hierarchical optimal control problems and its application to learning

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T17:42:11.842524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:42:11.842524Z digest=sha256:30278acf894c9b1b26746b12101beef5821ed8007295132a5bd8e57cc1065a12

Observation cce76efb-2acf-451f-8fee-41c217e3008b · outbound

This paper cites Bender & S.a.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Bender & S.a

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:42:12.039880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:42:11.848505Z digest=sha256:bdd9d232c970c95ad151e7b751a3bd70186dd6bf6074ddd07c2875a4d4f9d389

Observation ca87f52d-69db-44a4-b325-bc3a9b10874e · outbound

This paper cites Kevorkian & J.D.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Kevorkian & J.D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:42:12.020540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:42:11.854380Z digest=sha256:4af70425591c781561f12009293eeb3eb89788ceafa8aafcf7f82815978a30a0

Observation 2d676146-907d-40a0-ada3-e6ab92b5af6b · outbound

This paper cites O'Malley.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems O'Malley

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:42:12.003140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:42:11.859730Z digest=sha256:659eb706a29bd1187ec1ef24125a0972a735a428c6faa29377f8c4495c151dc1

Observation 5b77e268-d1a3-4b04-87a6-113990f1f512 · outbound

This paper cites an unresolved cited work.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:42:11.986308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:42:11.865444Z digest=sha256:ca1850036da001751cbf77e729e28d9527ed85bf13b1647b401a79afe6389bb0

Observation 59fc39a7-1ded-4ad7-a46c-fd4bcd63bda8 · outbound

This paper cites an unresolved cited work.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:42:11.969262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:42:11.870761Z digest=sha256:a3959b36b3656b2d3a6088a0cc7d6f31099fc4ac02a8182d4087212fbe33101c

Observation bc416e60-0934-481a-ab91-d931001f8b53 · outbound

This paper cites Bergman, S.A.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems Bergman, S.A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:42:11.951235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:42:11.876152Z digest=sha256:700c8097f3d9b118e2baf55a76f46ed221df9e7d955df19eb9e03a190a8757d1

Observation d4e2b007-0cf4-42c3-bf52-bc0eff5ead11 · outbound

This paper cites write newline.

On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems write newline

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T17:42:11.881356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:42:11.881356Z digest=sha256:3574224d07dbb104e5ba696876079b6c348e1b8e5ef160301c060457e25a67f2

Pith citing papers

Observation 52665785-e2ff-4ef4-a629-264c27f1e17b · inbound

On characterizing optimal learning trajectories in a class of learning problems cites this paper.

On characterizing optimal learning trajectories in a class of learning problems On improving generalization in a class of learning problems with the method of small parameters for weakly-controlled optimal gradient systems

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-10T12:43:25.940588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T12:43:25.811639Z digest=sha256:a799f28f7f1596ecd78a221bf8ebb597b11597332100b3391bed3f633eb72953