Paper Citation Record · LEDGER

Don't Be So Positive: Negative Step Sizes in Second-Order Methods

As of 21 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2411.11224.

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

pith.paper-citation-record.v1
2411.11224 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:53:29.107450Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:26:06.953280Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T04:26:07.054261Z

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy16
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a00e59c-fc4c-42da-944a-074ecea1c566 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.780604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d483b91-afad-4a15-92ce-e890f559ae71 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.765416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8a495407-8b0e-4eba-b801-a6e8db26a0f7 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.678490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 70beacb2-3d64-4fce-af00-14c1e6e4578a · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.480943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 88a3dcb6-4e56-464e-a90e-53b3a520f19c · outbound

This paper cites Byrd, R.B.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Byrd, R.B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.468644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b8eab688-7e41-46e5-96e2-1b3db167ea8b · outbound

This paper cites Choromanska, M.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Choromanska, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.455343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5dd208a9-d78a-48f0-8d71-78fa227a003f · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.439182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5a8584d-ff3f-4329-9a9f-9ea62197aedc · outbound

This paper cites Conn, N.I.M.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Conn, N.I.M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.371777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ae9d4e45-97d6-4768-95cd-56d07e306ed8 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.233321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation da89cecc-aa20-4853-a341-a66eb210e258 · outbound

This paper cites Identifying and attacking the saddle point problem in high-dimensional non-convex optimization.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Identifying and attacking the saddle point problem in high-dimensional non-convex optimization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T18:53:28.643713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33d1963f-f95f-4b7b-9273-31377bbe2bf3 · outbound

This paper cites Fletcher and C.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Fletcher and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.167492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bbd43034-21ad-4104-b961-bdaf57e1a86d · outbound

This paper cites Goldfarb.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Goldfarb

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.155996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c04a6d64-056f-496f-8b9b-86b655128ea0 · outbound

This paper cites Cubic Regularization is the Key! The First Accelerated Quasi-Newton Method with a Global Convergence Rate of $O(k^{-2})$ for Convex Functions.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Cubic Regularization is the Key! The First Accelerated Quasi-Newton Method with a Global Convergence Rate of $O(k^{-2})$ for Convex Functions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T18:53:28.799476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b08493d-e1c6-461f-a6b9-9157a8163b2d · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.143258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 36b0d9e7-aaed-49ae-8251-bddb09839dd2 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Adam: A Method for Stochastic Optimization

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T18:53:28.913386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 017e1e4f-b4b8-4513-b773-223990457a35 · outbound

This paper cites Levenberg.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Levenberg

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.130548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e4882ec1-48c4-4781-af8c-b17136aa5bbb · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.118358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1a9ec4a4-5d42-4944-b016-97e1ed7b933c · outbound

This paper cites Malitsky and K.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Malitsky and K

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.105319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0276cf7a-4762-4246-af19-bd8f248e5faf · outbound

This paper cites Marquardt.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Marquardt

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:30.087622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 162aae49-a992-4c05-a7e9-609b5bd02483 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.072039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a32de4e1-b1fb-46a5-9034-b858e6b95a93 · outbound

This paper cites Martens and R.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Martens and R

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T18:53:29.048374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99be3979-e3e7-4b30-bc41-573b6c2d5f42 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:30.047863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29d9c54b-7149-40fe-92cc-e825e86e6b1a · outbound

This paper cites Mor ´e and D.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Mor ´e and D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.972734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a1302959-dab2-46a5-a135-005a47dc73a7 · outbound

This paper cites Nesterov and B.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Nesterov and B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.794752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d75c1bd-4546-42ad-abfa-55d65a87aa6a · outbound

This paper cites Nocedal and S.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Nocedal and S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.720693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6cc39cd6-bef6-4fe7-879a-2a46acf48845 · outbound

This paper cites On the saddle point problem for non-convex optimization.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods On the saddle point problem for non-convex optimization

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T18:53:29.067351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e7a8b0e-4469-433c-af37-3597ec7e0481 · outbound

This paper cites Paternain, A.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Paternain, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.679507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2e2c7594-f014-46eb-8702-aa5827e56266 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:29.667759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b39428d9-941f-4200-8d0b-0ec59aa6f10a · outbound

This paper cites Ramanmurthy and N.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Ramanmurthy and N

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.657258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43cee8f7-b6c5-436d-be8c-11cd983303a2 · outbound

This paper cites Schultz, R.B.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Schultz, R.B

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.644150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7f34fe88-8796-4487-be41-21c7aa0cdc2f · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:29.628588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fb7f373b-9d39-4832-992e-2ddc1c575024 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:29.616256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2bdc8d24-4780-41e9-8373-e9700a898306 · outbound

This paper cites Steihaug.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Steihaug

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.561017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6afacd9f-10f9-4a2c-8729-ba51ce48ed27 · outbound

This paper cites Tieleman and G.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Tieleman and G

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:53:29.405622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7513e8bc-0638-4067-8f51-156f45e05a89 · outbound

This paper cites an unresolved cited work.

Don't Be So Positive: Negative Step Sizes in Second-Order Methods Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:53:29.225257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 9c395641-1308-4038-af0a-cc1fe97afffd · inbound

Negative Stepsizes Make Gradient-Descent-Ascent Converge cites this paper.

Negative Stepsizes Make Gradient-Descent-Ascent Converge Don't Be So Positive: Negative Step Sizes in Second-Order Methods

Reference 79

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:26:07.060415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.