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Paper Citation Record · LEDGER

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent

As of 10 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.22474.

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

pith.paper-citation-record.v1
2607.22474 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:46:51.310671Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved20
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b87c40b-3c8b-435a-9cc0-6d21ca1f6dec · outbound

This paper cites Chen Cheng and Andrea Montanari.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Chen Cheng and Andrea Montanari

Reference 5

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unresolved
no resolver link, observed 2026-08-01T04:46:51.236462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4d1f28c6-a444-430c-af43-3da7eaf6bd9e · outbound

This paper cites Dmitry Kobak, Jonathan Lomond, and Benoit Sanchez.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Dmitry Kobak, Jonathan Lomond, and Benoit Sanchez

Reference 13

Resolution
verified exact
doi, observed 2026-08-01T04:49:35.650830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation bd672cd2-4a1c-450b-a2c6-4926e71d88a5 · outbound

This paper cites Laura Lo Gerfo, Lorenzo Rosasco, Francesca Odone, Ernesto De Vito, and Alessandro Verri.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Laura Lo Gerfo, Lorenzo Rosasco, Francesca Odone, Ernesto De Vito, and Alessandro Verri

Reference 16

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unresolved
no resolver link, observed 2026-08-01T04:46:51.281464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 061c9f9c-ca1f-4c8c-b10c-165840fa271a · outbound

This paper cites Vladimir A.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Vladimir A

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.285468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.285468Z digest=sha256:6fb960f58919be39fd2fbd0c5a4fcd01fca74dabc75ea4159cb17f24596d235c

Observation d0d9fab8-4841-4671-ac63-b8212d1aeb49 · outbound

This paper cites On Regularization via Early Stopping for Least Squares Regression.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent On Regularization via Early Stopping for Least Squares Regression

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.302011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.302011Z digest=sha256:f78eb4a3f49fbacee284aaa7bc031b2fbfc885e74d68b22208f91536a299b0dc

Observation 9e4fbea7-2cb9-4cb6-b237-fa62579d95c9 · outbound

This paper cites Risk Comparisons in Linear Regression: Implicit Regularization Dominates Explicit Regularization.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Risk Comparisons in Linear Regression: Implicit Regularization Dominates Explicit Regularization

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.306343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.306343Z digest=sha256:a2139239be1817c63c1650207e040240a0e5cd7d53c29473b5a7c92faf203760

Observation f20d3263-f984-4bd8-b351-d9232ed7dcd6 · outbound

This paper cites Difan Zou, Jingfeng Wu, Vladimir Braverman, Quanquan Gu, Dylan P.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Difan Zou, Jingfeng Wu, Vladimir Braverman, Quanquan Gu, Dylan P

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.310671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.310671Z digest=sha256:2e7b94f505dfe32655b24e9807e745f76bf4c59b6f1cb79ee82d1b38cb837f26

Observation 758e2d68-2622-42cc-b13b-16741f21a6d6 · outbound

This paper cites an unresolved cited work.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Unresolved cited work

Reference 1970

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.260893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.260893Z digest=sha256:ebdfda1d4070acea32d870f908fbcd8a9aa5bff900a222b0eb7261d66dc268c7

Observation 978888aa-733a-4800-a169-268c1e2e6223 · outbound

This paper cites an unresolved cited work.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Unresolved cited work

Reference 1988

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.223622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.223622Z digest=sha256:dd259d370ce7d77b421210cc189794205bc993421505a923cc9b9b67c68f3ef9

Observation bfb01842-4d8b-4a31-bf2f-0cd2c2f833b0 · outbound

This paper cites Trevor Hastie, Andrea Montanari, Saharon Rosset, and Ryan J.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Trevor Hastie, Andrea Montanari, Saharon Rosset, and Ryan J

Reference 1996

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.249159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.249159Z digest=sha256:cab041355c60a43c429ed38eafb77cd5494852cec4395006737550824b145877

Observation 167ff389-eaa1-4546-8a02-9a5f98012d60 · outbound

This paper cites ridgeless.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent ridgeless

Reference 2000

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.277503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.277503Z digest=sha256:176391ec2d93d591735ecb86d275a5884392d34d2a6ad07215807bab45110bf5

Observation 3316b771-d27f-463d-a3f8-3aa21d6df090 · outbound

This paper cites B´ eatrice Laurent and Pascal Massart.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent B´ eatrice Laurent and Pascal Massart

Reference 2005

Resolution
verified exact
doi, observed 2026-08-01T04:49:35.543031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T04:46:51.273503Z digest=sha256:a5f6e21e78375d03536a975c1eab97ab5e11f84365ad9e0043ec3c51aacda271

Observation 546cd08d-c3ce-4bc8-97e4-d92e9b2cf3f7 · outbound

This paper cites Andrea Caponnetto and Ernesto De Vito.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Andrea Caponnetto and Ernesto De Vito

Reference 2007

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.232080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.232080Z digest=sha256:233ff4a7d81b9131ac4932639aa1c18435fa36d5da2b7643639861a57c1aa291

Observation 3b469792-f32c-47f1-a0aa-718ca2059116 · outbound

This paper cites Arthur E Hoerl and Robert W Kennard.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Arthur E Hoerl and Robert W Kennard

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.257159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0a2808be-a8f1-4efd-b508-4bbfcfeeb87c · outbound

This paper cites Dominic Richards, Jaouad Mourtada, and Lorenzo Rosasco.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Dominic Richards, Jaouad Mourtada, and Lorenzo Rosasco

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.293449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.293449Z digest=sha256:fa6490fe5a595d287dc141424d798490dc0eca1dd73aa85b5431c914e6044e91

Observation 24bf4442-b3b9-4375-bc23-ea3a06947b01 · outbound

This paper cites Ting Hu and Yunwen Lei.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Ting Hu and Yunwen Lei

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.264886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.264886Z digest=sha256:2f92be9b32050772535644cee142dbfad141a788acaca5e94dcb32c21dddfc71

Observation 31ed3eec-132b-4063-9127-b44fd373217f · outbound

This paper cites an unresolved cited work.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Unresolved cited work

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.244718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.244718Z digest=sha256:35844f084023984b566fccace412c35ccde17fa77e681691791b0e88ece010b3

Observation 76f0bd1b-fccf-4f1a-b6d7-b4368d44f51c · outbound

This paper cites Frank Bauer, Sergei Pereverzev, and Lorenzo Rosasco.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Frank Bauer, Sergei Pereverzev, and Lorenzo Rosasco

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.227885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:46:51.227885Z digest=sha256:81953db5e11b855067c1f3dd45b8899d99d1bddb3411cd5f058b8693e93fd47c

Observation 2a594fde-86df-4124-aa7c-096f4df730a4 · outbound

This paper cites On Regularization via Early Stopping for Least Squares Regression.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent On Regularization via Early Stopping for Least Squares Regression

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.297576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d25f3f69-663e-4812-b95d-286d9fa3b391 · outbound

This paper cites Nicholas J.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Nicholas J

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.253137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation aa6f9e21-e1b3-4be7-aace-51d8f48d7127 · outbound

This paper cites Edgar Dobriban and Stefan Wager.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Edgar Dobriban and Stefan Wager

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-01T04:46:51.240705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5d86b200-b51d-4a6d-9bf5-ed6f5d7c2dff · outbound

This paper cites Pratik Patil and Jin-Hong Du.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent Pratik Patil and Jin-Hong Du

Reference 2025

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unresolved
no resolver link, observed 2026-08-01T04:46:51.289714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 42b56aed-326f-443c-8108-8caaa45c3e01 · outbound

This paper cites 260412235902.

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent 260412235902

Reference 2026

Resolution
malformed identifier
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.