Paper Citation Record · LEDGER

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins

As of 19 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2608.08849.

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

pith.paper-citation-record.v1
2608.08849 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:35:26.813775Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

19 of 19 outbound references displayed

verified exact3
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 777c2d46-a3fa-4837-b049-ede16574c5be · outbound

This paper cites Smooth, globally Polyak-{\L}ojasiewicz functions are nonlinear least-squares.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Smooth, globally Polyak-{\L}ojasiewicz functions are nonlinear least-squares

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T04:35:27.905822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a7c5cc2-e9f8-4797-8701-da0c85f640e4 · outbound

This paper cites Policy Gradient-based Algorithms for Continuous-time Linear Quadratic Control.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Policy Gradient-based Algorithms for Continuous-time Linear Quadratic Control

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T04:35:26.245195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03384be9-3267-4eb7-9068-36f62c6ecf83 · outbound

This paper cites On Topological Properties of the Set of Stabilizing Feedback Gains.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins On Topological Properties of the Set of Stabilizing Feedback Gains

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:35:27.464746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 13cab2bc-07bc-4bc8-b20f-c0a58907adad · outbound

This paper cites Cui, Z.-P.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Cui, Z.-P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:29.986718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 231f4c55-4d96-4584-a98d-82fc3816bd18 · outbound

This paper cites Small-covariancenoise-to-statestabilityofstochasticsystemsand its applications to stochastic gradient dynamics.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Small-covariancenoise-to-statestabilityofstochasticsystemsand its applications to stochastic gradient dynamics

Reference 5

Resolution: verified exact; doi, observed 2026-08-14T04:35:27.074114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 742870e2-a32a-49fe-8686-7f0ff7a30799 · outbound

This paper cites ConvergenceanalysisofoverparametrizedLQR formulations.Automatica, 182: 112504, 2025.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins ConvergenceanalysisofoverparametrizedLQR formulations.Automatica, 182: 112504, 2025

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:29.845940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 230e06ec-b0ac-44a4-bdd3-b052905a6ce0 · outbound

This paper cites Falconer.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Falconer

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:29.726359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2ec2bdeb-6644-4775-901d-d46e81fb8754 · outbound

This paper cites Optimizingstaticlinearfeedback: gradientmethod.SIAMJ.ControlOptim., 59(5):3887–3911, 2021.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Optimizingstaticlinearfeedback: gradientmethod.SIAMJ.ControlOptim., 59(5):3887–3911, 2021

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:29.614755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7296ae77-19ac-4d5f-8d48-46883ffe7306 · outbound

This paper cites Fazel, R.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Fazel, R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:29.434749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ffb70469-0e2d-486e-8ed9-5205e60ab6bf · outbound

This paper cites Convergenceandsamplecomplexity ofgradientmethodsforthemodel-freelinear-quadraticregulatorproblem.IEEETrans.Automat.Control, 67(5):2435–2450, 2022.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Convergenceandsamplecomplexity ofgradientmethodsforthemodel-freelinear-quadraticregulatorproblem.IEEETrans.Automat.Control, 67(5):2435–2450, 2022

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:29.294755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 07879fa2-f5b5-443b-8c5a-fadf543b8a2e · outbound

This paper cites an unresolved cited work.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:35:29.154755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f2bf025f-ef87-4c84-9567-8cb10bc17ccf · outbound

This paper cites an unresolved cited work.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:35:28.944838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b08dc148-94fa-4a65-aba4-bee17e6ef11c · outbound

This paper cites Some remarks on gradient dominance and LQR policy optimization.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Some remarks on gradient dominance and LQR policy optimization

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:35:27.214746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4dbcee3f-31f7-430e-8daf-d252734d4350 · outbound

This paper cites Onthe(almost)globalexponentialconvergence of overparameterized policy optimization for the LQR problem, Proceedings of American Control Conference (ACC), 2026.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Onthe(almost)globalexponentialconvergence of overparameterized policy optimization for the LQR problem, Proceedings of American Control Conference (ACC), 2026

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:28.564751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5a58e122-91ab-4698-a946-c47fb788040b · outbound

This paper cites Ongradientsoffunctionsdefinableino-minimalstructures.Ann.Inst.Fourier,48(3):769– 783, 1998.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Ongradientsoffunctionsdefinableino-minimalstructures.Ann.Inst.Fourier,48(3):769– 783, 1998

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:28.394748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ef8443f7-c938-445d-be1d-468cea98cec6 · outbound

This paper cites Łojasiewicz.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Łojasiewicz

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:28.274745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 028f3f3d-c0fc-4c5d-aa33-345bff5e902c · outbound

This paper cites an unresolved cited work.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:35:28.159985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53944976-ed23-471f-a7ed-61b145f9748f · outbound

This paper cites Rebjock and N.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Rebjock and N

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:35:28.056098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 229f34cd-1e41-4136-9c02-33b93da84ddd · outbound

This paper cites an unresolved cited work.

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins Unresolved cited work

Reference 2025

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:35:28.754750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.