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Paper Citation Record · LEDGER

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization

As of 10 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2506.20546.

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

pith.paper-citation-record.v1
2506.20546 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:59:12.954685Z

measured 45 of 45 standing notices

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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.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation cdde3014-25a1-4cf7-8f3b-b3916d20e4b1 · outbound

This paper cites Safe zeroth-order optimization using quadratic local approximations.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Safe zeroth-order optimization using quadratic local approximations

Reference 1

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Observation 859b020c-5de8-4454-88ab-58cf10e1acde · outbound

This paper cites Handbook of simulation optimization , volume 216.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Handbook of simulation optimization , volume 216

Reference 2

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

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Observation 27b596f2-91f0-4f34-942f-12f1145cb5b2 · outbound

This paper cites Stoc hastic zeroth-order functional constrained optimization: Oracle complexity and applications.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Stoc hastic zeroth-order functional constrained optimization: Oracle complexity and applications

Reference 3

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Observation 54c8fb14-edc9-4ce9-b835-df6ad68f48ef · outbound

This paper cites Model-Free Optimal Voltage Control via Continuous-Time Zeroth-Order Methods.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Model-Free Optimal Voltage Control via Continuous-Time Zeroth-Order Methods

Reference 4

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

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Observation 18c1865b-8cb5-417c-86b0-8f17f963dfb7 · outbound

This paper cites Zeroth-Order Feedback-Based Optimization for Distributed Demand Response.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Zeroth-Order Feedback-Based Optimization for Distributed Demand Response

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:59:08.341566Z digest=sha256:903147764b3b7d618feb9238139dc98cab2dc0370769af2aab075dbc307a49b0

Observation bbb66b82-3477-44be-9ee0-4631cef6875d · outbound

This paper cites direct search.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization direct search

Reference 6

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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 ed5e84a2-7588-43e8-8ac1-b420dcb2f3f3 · outbound

This paper cites A simplex method for functio n minimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A simplex method for functio n minimization

Reference 7

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Observation c30c1eab-3914-4dfb-9996-c39c06235387 · outbound

This paper cites Numerical solution of a minimum problem.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Numerical solution of a minimum problem

Reference 8

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Observation 7b089519-47df-4993-8d73-636794fb14ec · outbound

This paper cites On the convergence of pattern search a lgorithms.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization On the convergence of pattern search a lgorithms

Reference 9

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Observation ea5e34c5-59ee-433e-8db9-e4fe57137c78 · outbound

This paper cites Pattern s earch algorithms for bound constrained mini- mization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Pattern s earch algorithms for bound constrained mini- mization

Reference 10

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Observation 35238cc1-d6c0-417e-bdb4-fee6fe6f0b60 · outbound

This paper cites Mesh adaptive direct search algorithms for constrained optimiza- tion.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Mesh adaptive direct search algorithms for constrained optimiza- tion

Reference 11

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Observation 29e8f5f6-0e10-4ecc-b413-9a897811de26 · outbound

This paper cites A g lobally convergent augmented lagrangian algorithm for optimization with general constraints and si mple bounds.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A g lobally convergent augmented lagrangian algorithm for optimization with general constraints and si mple bounds

Reference 12

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

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Observation a4be301f-95e1-4741-9651-0f30d2bd1e95 · outbound

This paper cites Bayesian optimisati on for constrained problems.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Bayesian optimisati on for constrained problems

Reference 13

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Observation 1309bd6e-f14c-4a1d-84e7-07051b5997dd · outbound

This paper cites Stochastic radial basis function algor ithms for large-scale optimization involving expensive black-box objective and constraint functions.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Stochastic radial basis function algor ithms for large-scale optimization involving expensive black-box objective and constraint functions

Reference 14

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Observation 606738a9-7963-4d5a-8716-edf8b6633ad3 · outbound

This paper cites A survey of surrogate approaches for exp ensive constrained black-box optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A survey of surrogate approaches for exp ensive constrained black-box optimization

Reference 15

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

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Observation 17d67bc7-d281-4d8f-ac39-dd285c9165e3 · outbound

This paper cites Constrained stochastic black- box optimization using a progressive barrier and probabili stic estimates.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Constrained stochastic black- box optimization using a progressive barrier and probabili stic estimates

Reference 16

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

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Observation cdec47bb-b6f8-4a4e-86fb-ba2701ddce4e · outbound

This paper cites Fi lter-based adaptive kriging method for black-box optimization problems with expensive object ive and constraints.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Fi lter-based adaptive kriging method for black-box optimization problems with expensive object ive and constraints

Reference 17

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

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Observation cd83e39d-5bb7-4af6-8c78-2cc1602a9f5d · outbound

This paper cites Conorbit: constrained optimization by radial basis function interpolation in trust regions.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Conorbit: constrained optimization by radial basis function interpolation in trust regions

Reference 18

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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 946ce52d-e3dc-477e-9778-fb071f7a02fa · outbound

This paper cites Stochastic zeroth-order optimiza- tion in high dimensions.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Stochastic zeroth-order optimiza- tion in high dimensions

Reference 19

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

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Observation 45c6dec1-8d51-4d7f-ad5f-9dd8a1e48438 · outbound

This paper cites A theoretical and em- pirical comparison of gradient approximations in derivative-free optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A theoretical and em- pirical comparison of gradient approximations in derivative-free optimization

Reference 20

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

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Observation 8eca339e-6d5c-43f5-805e-cf9405e80cc5 · outbound

This paper cites Derivat ive-free alternating projection algorithms for general nonconvex-concave minimax problems.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Derivat ive-free alternating projection algorithms for general nonconvex-concave minimax problems

Reference 21

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Observation b5e98315-0dd8-4f4f-a1cc-98b2aa66af3e · outbound

This paper cites An i nexact preconditioned zeroth-order proximal method for composite optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization An i nexact preconditioned zeroth-order proximal method for composite optimization

Reference 22

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

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Observation 698fec52-20a4-4770-af7a-264b19cd45fc · outbound

This paper cites Boosting one-point derivative-free online optimization via residual feedback.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Boosting one-point derivative-free online optimization via residual feedback

Reference 23

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Observation fa18edac-f974-443c-b9d1-5e48f8066808 · outbound

This paper cites Online convex optimization in the bandit setting: gradient descent without a gradient.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Online convex optimization in the bandit setting: gradient descent without a gradient

Reference 24

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Observation 4bbee2d3-6604-4778-9c77-f39a28286e90 · outbound

This paper cites Random gradient-free minimization of convex functions.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Random gradient-free minimization of convex functions

Reference 25

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

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Observation dc35a73e-cf1f-41ca-a785-dfb4905871a1 · outbound

This paper cites Zeroth-order feedba ck optimization for cooperative multi-agent systems.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Zeroth-order feedba ck optimization for cooperative multi-agent systems

Reference 26

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

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Observation 15842f0c-36da-4653-9f77-b8d5f4f4c63d · outbound

This paper cites Optimal rates for zero- order convex optimization: The power of two function evalua tions.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Optimal rates for zero- order convex optimization: The power of two function evalua tions

Reference 27

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

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Observation 87e401ee-241b-403d-858e-a0fb8d77bdc3 · outbound

This paper cites A primer on zeroth-order optimization in signal proces sing and machine learning: Principals, recent advances, and applications.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A primer on zeroth-order optimization in signal proces sing and machine learning: Principals, recent advances, and applications

Reference 28

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raw_fallback, observed 2026-08-06T22:59:16.552667Z

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 a91e105b-d3b2-4753-ae65-c27c222e8d2e · outbound

This paper cites Mini- batch stochastic approximation methods for nonconvex stochastic composite optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Mini- batch stochastic approximation methods for nonconvex stochastic composite optimization

Reference 29

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raw_fallback, observed 2026-08-06T22:59:16.295109Z

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

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Observation cb76ac47-48f8-46bc-aeb4-c27f3d407a6c · outbound

This paper cites Distributed rand omized gradient-free mirror descent algorithm for constrained optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Distributed rand omized gradient-free mirror descent algorithm for constrained optimization

Reference 30

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raw_fallback, observed 2026-08-06T22:59:15.983343Z

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 451afbb0-b9a7-4a64-941a-c62df4ee7d21 · outbound

This paper cites A frank-wolfe framework for efficient and effective adversarial attacks.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A frank-wolfe framework for efficient and effective adversarial attacks

Reference 31

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raw_fallback, observed 2026-08-06T22:59:15.732193Z

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

source=pdf_text observed=2026-08-06T22:59:11.337614Z digest=sha256:b9666e4790e3c64375c7cf95335298b11a39fe15be48ed2ad1c2098f0bc6c29d

Observation d5c5f3b4-6853-467f-be3c-f8255853998c · outbound

This paper cites An Enhanced Zeroth-Order Stochastic Frank-Wolfe Framework for Constrained Finite-Sum Optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization An Enhanced Zeroth-Order Stochastic Frank-Wolfe Framework for Constrained Finite-Sum Optimization

Reference 32

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local_arxiv, observed 2026-08-06T22:59:13.236151Z

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=2026-08-06T22:59:11.464130Z digest=sha256:812020ca650031e8183fceb8850ba7849eb7901b46543dd88f55df345f9ae46d

Observation 88cfe82c-e879-4076-9f6d-5d781c30ab76 · outbound

This paper cites Gradient-free a ccelerated event-triggered scheme for constrained network optimization in smart grids.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Gradient-free a ccelerated event-triggered scheme for constrained network optimization in smart grids

Reference 33

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raw_fallback, observed 2026-08-06T22:59:15.435292Z

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=2026-08-06T22:59:11.583505Z digest=sha256:c9a9336dc7960970f654558da2901f725ae4257086eb9ea6d22d90936ed3a056

Observation c118e282-7fe9-4380-9863-f63826c54f69 · outbound

This paper cites Min-max optimization without gradients : Convergence and applications to black- box evasion and poisoning attacks.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Min-max optimization without gradients : Convergence and applications to black- box evasion and poisoning attacks

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:15.183256Z

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

source=pdf_text observed=2026-08-06T22:59:11.696185Z digest=sha256:1402d879726ca7d31d4555a1c1f8f9993d26b62f6c4a63c5965d937bfb425e29

Observation 64a37139-655d-4a53-be78-9e7a489e3740 · outbound

This paper cites Zeroth- order methods for convex-concave min-max problems: Applic ations to decision-dependent risk min- imization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Zeroth- order methods for convex-concave min-max problems: Applic ations to decision-dependent risk min- imization

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.953082Z

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=2026-08-06T22:59:11.806858Z digest=sha256:3585b047578231f8942a38959c19aa47833709b1c9128d6b04c05bbcf71b2ad5

Observation 3c7aca1a-9377-4fe6-8c6a-2ef29da04774 · outbound

This paper cites Prox-method with rate of convergen ce o (1/t) for variational inequalities with lipschitz continuous monotone operators and smooth convex -concave saddle point problems.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Prox-method with rate of convergen ce o (1/t) for variational inequalities with lipschitz continuous monotone operators and smooth convex -concave saddle point problems

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.819199Z

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=2026-08-06T22:59:11.951793Z digest=sha256:7cb5b21de181b0f462d40d95a0d1dc321b9180b135a6abca3e850d54bfd1bcf9

Observation 1f4599d7-c71a-4c5f-89eb-0ea927dbb795 · outbound

This paper cites Subgradient methods for saddle-poin t problems.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Subgradient methods for saddle-poin t problems

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.699258Z

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=2026-08-06T22:59:12.047427Z digest=sha256:401b64917a5848a8dc82a72a750fda7d0f14167ed01fde6bf8d75b2865605e24

Observation f3803fb3-a92d-44c4-92fe-7b5abfb3aca0 · outbound

This paper cites Derivative-free methods for policy optimization: Guarantees for linear quadratic systems.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Derivative-free methods for policy optimization: Guarantees for linear quadratic systems

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.609094Z

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=2026-08-06T22:59:12.136518Z digest=sha256:c8bae03d44462bfd4cf838296405d762b2d6f967271fc6837182831dcda6bbe8

Observation 46576a8c-49bc-427d-8d18-1814376eae79 · outbound

This paper cites A unified analysis of extra-gradient and optimistic gradient methods for saddle point problems: Pro ximal point approach.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A unified analysis of extra-gradient and optimistic gradient methods for saddle point problems: Pro ximal point approach

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.516311Z

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=2026-08-06T22:59:12.271957Z digest=sha256:c9f766b4fbdf6eca287474aa9c1413a7b0d46996c9c95ac6a572e5ce30a2dded

Observation a6a97aad-fdb9-4b89-b1e1-f476dc7b5732 · outbound

This paper cites A zeroth-order block coordi- nate gradient descent method for cellular network optimiza tion.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization A zeroth-order block coordi- nate gradient descent method for cellular network optimiza tion

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.426798Z

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=2026-08-06T22:59:12.363980Z digest=sha256:6e51a4ded702d25677bb145879bfb5802e930ff8b5d6d1e98bce3b1c10707838

Observation 6ef3c504-e2cd-4041-b4a5-af60fdb8ba75 · outbound

This paper cites Stochastic fir st-order methods for convex and nonconvex functional constrained optimization.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Stochastic fir st-order methods for convex and nonconvex functional constrained optimization

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.315997Z

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=2026-08-06T22:59:12.496842Z digest=sha256:4ee94240f933758cd4c2642584fe0d80220d6e94730bf83d8f9b75b0b4730780

Observation f6bb2816-5514-4607-b4c1-582cfc147251 · outbound

This paper cites Robust stochastic ap- proximation approach to stochastic programming.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Robust stochastic ap- proximation approach to stochastic programming

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.170711Z

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=2026-08-06T22:59:12.616954Z digest=sha256:bb9dd737d783c1cb9d8eb9c6669f8cd447c2c386995167345a7084a7c94c0e4a

Observation c6527ea0-0995-48df-a06d-bd48fedfb348 · outbound

This paper cites Taking expectation over vk gives: E [⟨ ηF (z+ k ), z+ k− z ⟩ |F k ] ≤ E [⟨ ηg+ k , z+ k− z ⟩ |F k ] + ηL ˜Drk.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Taking expectation over vk gives: E [⟨ ηF (z+ k ), z+ k− z ⟩ |F k ] ≤ E [⟨ ηg+ k , z+ k− z ⟩ |F k ] + ηL ˜Drk

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:14.001703Z

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=2026-08-06T22:59:12.725627Z digest=sha256:7f0349dfce473f220cc88ed7ad26f9dc1ead50d3002ba6e1e048367073396c74

Observation cac1a9d3-b685-4f53-96a7-93c2b1f4c680 · outbound

This paper cites Then, E [ ‖gk− g+ k‖2|F k ] is bounded as follows: E [ ‖gk− g+ k‖2|F k ] ≤ ˆ∆k, (19) where ˆ∆k = 108d2G2 d+2 + 9d2L2r2 k + 12L2r2 k + 12G2.

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization Then, E [ ‖gk− g+ k‖2|F k ] is bounded as follows: E [ ‖gk− g+ k‖2|F k ] ≤ ˆ∆k, (19) where ˆ∆k = 108d2G2 d+2 + 9d2L2r2 k + 12L2r2 k + 12G2

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:13.870958Z

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=2026-08-06T22:59:12.841730Z digest=sha256:b39828b79efba65030f5d2cec2afcdf8626ca899564525f610b7262c27ec4f33

Observation 0aa96285-08c5-4334-b3f1-05927aabfe13 · outbound

This paper cites 24 C Proof of Theorem 4.3 Similarly, We start by defining a filtration F b k := σ (z0,I x 0 ,I y 0 ,J x 0 ,J y 0 , z1, ..., zk).

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization 24 C Proof of Theorem 4.3 Similarly, We start by defining a filtration F b k := σ (z0,I x 0 ,I y 0 ,J x 0 ,J y 0 , z1, ..., zk)

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:59:13.628135Z

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=2026-08-06T22:59:12.954685Z digest=sha256:f594c47d1b243151d2376733817d4a5df772d4c370aeef56f8cfd68bbf4b10f9

Pith citing papers

No inbound Pith citation observations are available.