Paper Citation Record · LEDGER

A Proximal Descent Method for Minimizing Weakly Convex Optimization

As of 10 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:2509.02804.

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

pith.paper-citation-record.v1
2509.02804 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:32:37.568540Z

measured 45 of 45 standing notices

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measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:53:50.751787Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T19:08:49.980694Z

Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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Outbound references

Observation fab78def-9d72-4a71-b4b5-efb53daac390 · outbound

This paper cites The quasigradient meth od for the solving of the nonlinear programming problems.

A Proximal Descent Method for Minimizing Weakly Convex Optimization The quasigradient meth od for the solving of the nonlinear programming problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:38.038285Z

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Observation 3436b25c-f96c-404e-83af-8951ecf785cc · outbound

This paper cites Stochastic model -based minimization of weakly con- vex functions.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Stochastic model -based minimization of weakly con- vex functions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:38.028783Z

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Observation 66d916d1-60a5-449f-85e2-b2416ed75fc4 · outbound

This paper cites Prox-regular functions in variational analysis.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Prox-regular functions in variational analysis

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:38.019540Z

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Observation 755b79c8-0913-4cbc-bd8b-724c2a3a5599 · outbound

This paper cites Convex analysis , volume 11.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Convex analysis , volume 11

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:38.011078Z

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Observation b52b44a6-1e8b-421b-ac45-f0ced504a922 · outbound

This paper cites The proximal point method revisited.

A Proximal Descent Method for Minimizing Weakly Convex Optimization The proximal point method revisited

Reference 5

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Observation 151896e7-1066-4f79-aa24-d73d87c86a8f · outbound

This paper cites Convergence of some algorithms for convex minimiza- tion.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Convergence of some algorithms for convex minimiza- tion

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:38.002523Z

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Observation 5b9cb32a-e570-43bf-82a7-c17e2370c784 · outbound

This paper cites A condensed introduc tion to bundle methods in non- smooth optimization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A condensed introduc tion to bundle methods in non- smooth optimization

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.993296Z

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Observation 536bbcdf-a63c-4889-bb15-a73fe6a0feab · outbound

This paper cites Computing proximal points of nonconvex functions.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Computing proximal points of nonconvex functions

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.984424Z

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Observation e1ea0d41-c1df-4930-94f3-7f8b0c154b53 · outbound

This paper cites A redistributedproximal bundle method for nonconvex optimization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A redistributedproximal bundle method for nonconvex optimization

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.975895Z

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Observation 0387e992-714e-4489-9035-3ab6810640ad · outbound

This paper cites Lectures on convex optimization , volume 137.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Lectures on convex optimization , volume 137

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.967354Z

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Observation 659fb29d-2f46-4055-b3be-cbe574af6585 · outbound

This paper cites Monotone operators and the prox imal point algorithm.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Monotone operators and the prox imal point algorithm

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.958388Z

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Observation 259e4f3c-1b08-4ae6-8adb-2dda003c8f98 · outbound

This paper cites The multiplier method of hestene s and powell applied to convex pro- gramming.

A Proximal Descent Method for Minimizing Weakly Convex Optimization The multiplier method of hestene s and powell applied to convex pro- gramming

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.949710Z

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Observation 1b0a1047-84b0-4a59-8917-d61c9e45ddfc · outbound

This paper cites Rate of convergence of t he bundle method.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Rate of convergence of t he bundle method

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.940775Z

Source-reported events for the cited work

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Observation 4e4c2a5c-2cd4-42af-afab-ee2ba4e2b9af · outbound

This paper cites Eﬃciency of proximal bundle method s.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Eﬃciency of proximal bundle method s

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.931828Z

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Observation 9ecaa60b-4de8-4f80-98be-f1616a979240 · outbound

This paper cites Optimal convergence rates for the proximal bundle method.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Optimal convergence rates for the proximal bundle method

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.922459Z

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Observation ed3b16b9-7d53-43b0-88d1-723c64623909 · outbound

This paper cites An overview an d comparison of spectral bundle methods for primal and dual semideﬁnite programs.

A Proximal Descent Method for Minimizing Weakly Convex Optimization An overview an d comparison of spectral bundle methods for primal and dual semideﬁnite programs

Reference 16

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Observation 733b706b-f68c-4656-b2c4-15864ed35dc8 · outbound

This paper cites A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T11:32:37.505199Z

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Observation 109308b4-499a-4f92-a27f-6b6e51f80ad0 · outbound

This paper cites Minimizing nonconvex non- smooth functions via cutting planes and proximity control.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Minimizing nonconvex non- smooth functions via cutting planes and proximity control

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.912506Z

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Observation cf5ea66e-64b8-4c28-b780-4413fbd571ff · outbound

This paper cites Proximally guided st ochastic subgradient method for nonsmooth, nonconvex problems.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Proximally guided st ochastic subgradient method for nonsmooth, nonconvex problems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.902331Z

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Observation c5d2b014-623c-4dc4-abc7-45d7376e9fa0 · outbound

This paper cites Proximal bundle methods for hybrid weakly convex composite optimization problems.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Proximal bundle methods for hybrid weakly convex composite optimization problems

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:37.637705Z

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Observation 37cee38a-968b-4bc6-8bd7-d1aee7abaa78 · outbound

This paper cites A pr oximity control algorithm to minimize 32 nonsmooth and nonconvex semi-inﬁnite maximum eigenvalue f unctions.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A pr oximity control algorithm to minimize 32 nonsmooth and nonconvex semi-inﬁnite maximum eigenvalue f unctions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.892347Z

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Observation 4e142e17-071b-4485-bea9-682af6e718c2 · outbound

This paper cites A proximal bundle variant with optimal iteration- complexity for a large range of prox stepsizes.SIAM Journal on Optimization , 31(4):2955–2986, 2021.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A proximal bundle variant with optimal iteration- complexity for a large range of prox stepsizes.SIAM Journal on Optimization , 31(4):2955–2986, 2021

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.881946Z

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Observation 4238e213-ff29-49c2-b1d2-2b4cda116e73 · outbound

This paper cites On fr´ echet subdiﬀerentials.Journal of Mathematical Sciences , 116(3):3325–3358, 2003.

A Proximal Descent Method for Minimizing Weakly Convex Optimization On fr´ echet subdiﬀerentials.Journal of Mathematical Sciences , 116(3):3325–3358, 2003

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.871907Z

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Observation 7a6fdbee-58a7-4167-8318-294078d6aeae · outbound

This paper cites Variational analysis, volume 317.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Variational analysis, volume 317

Reference 24

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Observation cfeeb6f5-f116-4c88-a26b-09cf8f51d351 · outbound

This paper cites Asymptotic convergence analys is of the proximal point algorithm.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Asymptotic convergence analys is of the proximal point algorithm

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.857346Z

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Observation 0e95dbd0-b062-4e52-8ef7-96046478d55b · outbound

This paper cites Augmented Lagrangians and appl ications of the proximal point algo- rithm in convex programming.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Augmented Lagrangians and appl ications of the proximal point algo- rithm in convex programming

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.848694Z

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Observation bbc773c3-ab3a-49af-bef6-da4408c990fb · outbound

This paper cites On a bundle algorithm for nonsmooth optimization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization On a bundle algorithm for nonsmooth optimization

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.839081Z

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Observation df4d9f1a-efb1-41bd-8b33-b2b8787205d7 · outbound

This paper cites Proximity control in bundle method s for convex nondiﬀerentiable mini- mization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Proximity control in bundle method s for convex nondiﬀerentiable mini- mization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.830024Z

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Observation 64a38a14-cfcd-4e4c-8bd0-094c5820b706 · outbound

This paper cites Complexity of ﬁnding stationary points of nonconvex nonsmooth functio ns.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Complexity of ﬁnding stationary points of nonconvex nonsmooth functio ns

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.819571Z

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Observation d01f45f0-ba01-4770-8051-05efcda1a79b · outbound

This paper cites A gradient sampling method with complexity guarantees for li pschitz functions in high and low dimensions.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A gradient sampling method with complexity guarantees for li pschitz functions in high and low dimensions

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.809592Z

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Observation b3c4ed12-3943-4671-bc3d-c0c13797a988 · outbound

This paper cites Gradient sampling methods for nonsmooth optimization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Gradient sampling methods for nonsmooth optimization

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.800740Z

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Observation 2b6dcf52-7885-42c3-b64b-ce1b6e474c10 · outbound

This paper cites Minimization of unsmooth functionals.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Minimization of unsmooth functionals

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.792507Z

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Observation 78f1b917-f983-4279-a28f-901eba81fd6f · outbound

This paper cites Error bounds, pl condition, and quadratic growth for weakly convex functions, and linear convergences of proximal point methods.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Error bounds, pl condition, and quadratic growth for weakly convex functions, and linear convergences of proximal point methods

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.784076Z

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Observation e3798a6e-5257-427e-bd9a-400f2525700f · outbound

This paper cites Nonsmooth optimization and robust cont rol.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Nonsmooth optimization and robust cont rol

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.775274Z

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Observation 9fe542c5-0ced-4500-9198-220ddb612192 · outbound

This paper cites Policy Optimization in Control: Geometry and Algorithmic Implications.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Policy Optimization in Control: Geometry and Algorithmic Implications

Reference 35

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Observation fa2cef5b-69c1-49ae-bf39-f7d336f64111 · outbound

This paper cites Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:37.617802Z

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Observation cf42d9c2-ff96-4af1-9231-f4fdb8d4468a · outbound

This paper cites Benign Nonconvex Landscapes in Optimal and Robust Control, Part I: Global Optimality.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Benign Nonconvex Landscapes in Optimal and Robust Control, Part I: Global Optimality

Reference 37

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Observation 4f208d4c-cbd5-41b0-8b67-495ace5ac877 · outbound

This paper cites Extended conv ex lifting for policy optimization of optimal and robust control.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Extended conv ex lifting for policy optimization of optimal and robust control

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.766674Z

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Observation 636e0625-f8a1-468e-8415-89bfce61f1df · outbound

This paper cites Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Subgradient Regularization: A Descent-Oriented Subgradient Method for Nonsmooth Optimization

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T11:32:37.560747Z

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This paper cites Gradients of convex f unctions.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Gradients of convex f unctions

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.758571Z

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Observation 865bb1b7-67fe-446a-9970-9f897828427a · outbound

This paper cites Nonlinear optimization.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Nonlinear optimization

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.750365Z

Source-reported events for the cited work

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Observation 67ae97cf-94c6-4d6d-8e67-88372f223215 · outbound

This paper cites Eﬃciency of minimizing compositions of convex functions and smooth maps.

A Proximal Descent Method for Minimizing Weakly Convex Optimization Eﬃciency of minimizing compositions of convex functions and smooth maps

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:37.742113Z

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Pith citing papers

Observation da6b8536-823d-4795-a4c0-161c7517bbe2 · inbound

An Adaptive Proximal Framework for Weakly Convex Optimization with Unknown Parameter: Deterministic and Heavy-Tailed Stochastic Guarantees cites this paper.

An Adaptive Proximal Framework for Weakly Convex Optimization with Unknown Parameter: Deterministic and Heavy-Tailed Stochastic Guarantees A Proximal Descent Method for Minimizing Weakly Convex Optimization

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-03T19:08:49.982255Z

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Observation dfa54807-8b1b-4f44-8539-3983af38b65c · inbound

An Adaptive Proximal Framework for Weakly Convex Optimization with Unknown Parameter: Deterministic and Heavy-Tailed Stochastic Guarantees cites this paper.

Reference 30

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Observation d3c44e7d-b0b7-4a88-ae97-5fe711cff741 · inbound

Optimal Deterministic Oracle Complexity for Weakly Convex Optimization cites this paper.

Optimal Deterministic Oracle Complexity for Weakly Convex Optimization A Proximal Descent Method for Minimizing Weakly Convex Optimization

Reference 9

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