Paper Citation Record · LEDGER

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization

As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.07248.

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pith.paper-citation-record.v1
2608.07248 v2

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T04:22:57.471822Z

measured 38 of 38 standing notices

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

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measured 0 of 1 external citation measurements

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Reference resolution

38 of 38 outbound references displayed

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Outbound references

Observation e669933c-c2c5-4dbc-8cde-07aaaa0543a6 · outbound

This paper cites Hessian Riemannian gradient flows in convex programming.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Hessian Riemannian gradient flows in convex programming

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.266448Z

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Observation 269c0926-5bcf-4577-b162-19ec63cf426f · outbound

This paper cites Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization.Optimization, 53(5–6):435–454, 2004.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization.Optimization, 53(5–6):435–454, 2004

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.272280Z

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Observation 2437d284-f0e1-4d2a-b009-24626f56d198 · outbound

This paper cites an unresolved cited work.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:22:58.149405Z

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

Observation e0c94d36-dc1c-4cb3-99bc-cb1d44adc805 · outbound

This paper cites Bauschke, J´ erˆ ome Bolte, and Marc Teboulle.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Bauschke, J´ erˆ ome Bolte, and Marc Teboulle

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.283992Z

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Observation 05b47ce8-f795-4aa7-9e1f-5a70b834a6dc · outbound

This paper cites an unresolved cited work.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.289432Z

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Observation 2b516b35-c3b5-46b1-9ef7-45621c041081 · outbound

This paper cites Lewis, and Masahiro Shiota.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Lewis, and Masahiro Shiota

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.295305Z

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Observation 5dea52ff-00f2-477b-a6e4-5c1d039296d1 · outbound

This paper cites Curiosities and counterexamples in smooth convex optimization.Mathematical Programming, 195(1–2):553–603, 2022.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Curiosities and counterexamples in smooth convex optimization.Mathematical Programming, 195(1–2):553–603, 2022

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.302318Z

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Observation 16a3e055-e673-4891-8570-286ee6f8e7e6 · outbound

This paper cites First order methods beyond convexity and Lipschitz gradient continuity with applications to quadratic inverse problems.SIAM Journal on Optimization, 28(3):2131–2151, 2018.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization First order methods beyond convexity and Lipschitz gradient continuity with applications to quadratic inverse problems.SIAM Journal on Optimization, 28(3):2131–2151, 2018

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.307908Z

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Observation a63c39e1-136f-4486-b219-970681cbfb2e · outbound

This paper cites Bomze, Panayotis Mertikopoulos, Werner Schachinger, and Mathias Staudigl.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Bomze, Panayotis Mertikopoulos, Werner Schachinger, and Mathias Staudigl

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.313960Z

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Observation d5bf8a9d-c518-4a2b-87fa-2be66991c870 · outbound

This paper cites A Unified Framework for Iterate Convergence of Bregman Proximal Methods.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization A Unified Framework for Iterate Convergence of Bregman Proximal Methods

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:22:57.790289Z

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Observation 7ca5f276-4467-42b7-9ad8-b1ed25994159 · outbound

This paper cites Spurious Stationarity and Hardness Results for Bregman Proximal-Type Algorithms.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Spurious Stationarity and Hardness Results for Bregman Proximal-Type Algorithms

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.325754Z

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Observation 2deb48ef-f3a7-4219-8fde-969e218859cc · outbound

This paper cites On the Iterate Convergence of Bregman Projected Gradient Method.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization On the Iterate Convergence of Bregman Projected Gradient Method

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.332009Z

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Observation 24b27228-5f85-47bf-91a9-2af5494555ef · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Sinkhorn distances: Lightspeed computation of optimal transport

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.337879Z

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Observation c0e5a421-b3bc-4650-a2cc-522d06a83122 · outbound

This paper cites Dang and Guanghui Lan.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Dang and Guanghui Lan

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.343524Z

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Observation 7fa203ed-77da-4497-94db-be549038ff8b · outbound

This paper cites Nonconvex stochastic Bregman proximal gradient method with application to deep learning.Journal of Machine Learning Research, 26(39):1–44, 2025.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Nonconvex stochastic Bregman proximal gradient method with application to deep learning.Journal of Machine Learning Research, 26(39):1–44, 2025

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.348612Z

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Observation c999e4b2-758d-4634-b179-08f8a9f212d3 · outbound

This paper cites On exploration of an interior mirror descent flow for stochastic nonconvex constrained problem.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization On exploration of an interior mirror descent flow for stochastic nonconvex constrained problem

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.353696Z

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Observation 93f291f3-06f6-45e1-9373-368a68c941a0 · outbound

This paper cites Stochastic Bregman subgradient methods for nonsmooth nonconvex optimization problems.Journal of Optimization Theory and Applications, 206(3):67, 2025.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Stochastic Bregman subgradient methods for nonsmooth nonconvex optimization problems.Journal of Optimization Theory and Applications, 206(3):67, 2025

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.359333Z

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Observation 0f2c5ec3-e3b9-412a-87b7-98bf2aca7d84 · outbound

This paper cites Non-KKT Accumulation in Entropic Mirror Descent.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Non-KKT Accumulation in Entropic Mirror Descent

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.364419Z

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Observation 83e8e21b-3bbc-4414-b60b-ca2c7513f679 · outbound

This paper cites Doan, Subhonmesh Bose, D.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Doan, Subhonmesh Bose, D

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.370114Z

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Observation bccaa252-58c6-48d0-b859-86df4655f119 · outbound

This paper cites A bregman ADMM for Bethe variational problem.arXiv preprint arXiv:2502.04613, 2025.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization A bregman ADMM for Bethe variational problem.arXiv preprint arXiv:2502.04613, 2025

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.375401Z

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Observation a7d3a5e2-f3d0-442a-870f-1c1554988f67 · outbound

This paper cites On gradients of functions definable in O-minimal structures.Annales de l’Institut Fourier, 48(3):769–783, 1998.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization On gradients of functions definable in O-minimal structures.Annales de l’Institut Fourier, 48(3):769–783, 1998

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.380425Z

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Observation 3b2496dd-c1ca-430f-a37f-c736c972564e · outbound

This paper cites A convergent single-loop algorithm for relaxation of Gromov–Wasserstein in graph data.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization A convergent single-loop algorithm for relaxation of Gromov–Wasserstein in graph data

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:22:57.983829Z

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 6d20f265-8f2a-472e-b344-83bee1b45740 · outbound

This paper cites Convergence of the exponentiated gradient method with Armijo line search.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Convergence of the exponentiated gradient method with Armijo line search

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.390602Z

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Observation d682cc80-115a-4b82-adfa-bd9eef73e9f4 · outbound

This paper cites Lee, and Sanjeev Arora.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Lee, and Sanjeev Arora

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.395990Z

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Observation cbc8023a-6f80-428b-9cdd-6f6f396b7aa3 · outbound

This paper cites Freund, and Yurii Nesterov.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Freund, and Yurii Nesterov

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:22:57.941151Z

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

Observation 6d2def70-8561-4478-bcd3-ec50370e583b · outbound

This paper cites Gromov–Wasserstein distances and the metric approach to object matching.Foundations of Computational Mathematics, 11(4):417–487, 2011.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Gromov–Wasserstein distances and the metric approach to object matching.Foundations of Computational Mathematics, 11(4):417–487, 2011

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.406317Z

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Observation 1b3f3a11-55d0-4b9e-ad53-536d28616efd · outbound

This paper cites Global convergence of model function based Bregman proximal minimization algorithms.Journal of Global Optimization, 83(4):753–781, 2022.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Global convergence of model function based Bregman proximal minimization algorithms.Journal of Global Optimization, 83(4):753–781, 2022

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.411229Z

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Observation c88e6ee1-dc8d-47bf-b5c5-30ae102f53b7 · outbound

This paper cites Elementary vectors and conformal sums in polyhedral geometry and their relevance for metabolic pathway analysis.Frontiers in Genetics, 7:90, 2016.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Elementary vectors and conformal sums in polyhedral geometry and their relevance for metabolic pathway analysis.Frontiers in Genetics, 7:90, 2016

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.416576Z

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Observation 0215e38e-beda-41c7-9213-70037e63d95f · outbound

This paper cites Computational optimal transport.Foundations and Trends in Machine Learning, 11(5–6):355–607, 2019.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Computational optimal transport.Foundations and Trends in Machine Learning, 11(5–6):355–607, 2019

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.422206Z

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Observation aa2812f2-29df-4798-823b-6a8dd301005a · outbound

This paper cites Gromov–Wasserstein averaging of kernel and distance matrices.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Gromov–Wasserstein averaging of kernel and distance matrices

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.427902Z

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Observation 95d8c998-bb32-42c4-a8e0-ae8e7bfd4a99 · outbound

This paper cites Shuffling the stochastic mirror descent via dual lipschitz continuity and kernel conditioning.arXiv preprint arXiv:2603.16042, 2026.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Shuffling the stochastic mirror descent via dual lipschitz continuity and kernel conditioning.arXiv preprint arXiv:2603.16042, 2026

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.433204Z

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Observation d0d6a8c5-37e8-413b-8e90-284dba6b501f · outbound

This paper cites Entropic Gromov–Wasserstein distances: Stability and algorithms.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Entropic Gromov–Wasserstein distances: Stability and algorithms

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.438530Z

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Observation 3044c162-b252-4193-ac42-df80327496f8 · outbound

This paper cites Tyrrell Rockafellar.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Tyrrell Rockafellar

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.443802Z

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Observation e46ddd64-7dd9-4e4f-8e66-41d181961045 · outbound

This paper cites Tyrrell Rockafellar.Convex Analysis, volume 28 ofPrinceton Mathematical Series.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Tyrrell Rockafellar.Convex Analysis, volume 28 ofPrinceton Mathematical Series

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.449102Z

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Observation a7d2bee7-313a-4bb6-ae23-ee335ef5d1da · outbound

This paper cites Tyrrell Rockafellar and Roger J.-B.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Tyrrell Rockafellar and Roger J.-B

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.454300Z

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Observation cb197284-2696-48a5-bf15-aa4c7b634409 · outbound

This paper cites Linear-time Gromov–Wasserstein distances using low-rank couplings and costs.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Linear-time Gromov–Wasserstein distances using low-rank couplings and costs

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.459718Z

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Observation 765ff1f9-ccd1-447d-9737-bc5d246af9d9 · outbound

This paper cites On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.466060Z

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Observation 9db949a5-e976-4320-a823-7641e86a03d8 · outbound

This paper cites Boyd, and Peter W.

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization Boyd, and Peter W

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T04:22:57.471822Z

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