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Paper Citation Record · LEDGER

Stochastic Penalty-Barrier Methods for Constrained Machine Learning

As of 4 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 1 inbound Pith citation observation for arXiv:2605.18618.

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

pith.paper-citation-record.v1
2605.18618 v2

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T12:20:38.441893Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T22:44:57.411092Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T16:27:08.976982Z

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c16f8cd3-b28c-4a28-9bd9-90f5483ad892 · outbound

This paper cites Position: Adopt Constraints Over Penalties in Deep Learning, July 2025.Cited on page 1.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Position: Adopt Constraints Over Penalties in Deep Learning, July 2025.Cited on page 1

Reference 1

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Source-reported events for the cited work

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Observation 455ba187-db81-4a72-8939-0910b9f0def5 · outbound

This paper cites Kernel dependence reg- ularizers and Gaussian processes with applications to algorithmic fairness.Pattern Recognition, 132:108922, December 2022.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Kernel dependence reg- ularizers and Gaussian processes with applications to algorithmic fairness.Pattern Recognition, 132:108922, December 2022

Reference 2

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Observation 023cfbe0-da60-4555-ac1e-3f08dc5619b7 · outbound

This paper cites fairret: a framework for differentiable fairness regularization terms.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning fairret: a framework for differentiable fairness regularization terms

Reference 3

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Observation c6bc0b8c-2158-418d-8743-fb75520225c5 · outbound

This paper cites Benchmarking stochastic approximation algorithms for fairness-constrained training of deep neural networks.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Benchmarking stochastic approximation algorithms for fairness-constrained training of deep neural networks

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 2008d7e1-5820-49f1-9dfc-a893ff14fca0 · outbound

This paper cites Physics-informed neural networks with hard constraints for inverse design.SIAM Journal on Scientific Computing, 43(6):B1105–B1132, 2021.Cited on page 1.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Physics-informed neural networks with hard constraints for inverse design.SIAM Journal on Scientific Computing, 43(6):B1105–B1132, 2021.Cited on page 1

Reference 5

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Source-reported events for the cited work

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Observation 4e56bd7e-1620-4b3a-9465-625cae0aa82f · outbound

This paper cites Characterizing possible failure modes in physics-informed neural networks.Advances in neural information processing systems, 34:26548–26560, 2021.Cited on page 1.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Characterizing possible failure modes in physics-informed neural networks.Advances in neural information processing systems, 34:26548–26560, 2021.Cited on page 1

Reference 6

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Source-reported events for the cited work

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Observation dcdc02d0-2e88-4c83-838b-33df36c54b99 · outbound

This paper cites Respecting causality for training physics- informed neural networks.Computer Methods in Applied Mechanics and Engineering, 421: 116813, 2024.Cited on page 1.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Respecting causality for training physics- informed neural networks.Computer Methods in Applied Mechanics and Engineering, 421: 116813, 2024.Cited on page 1

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation d4e77801-1d58-4396-8601-f84aa6abc468 · outbound

This paper cites Enhanced physics-informed neural networks with augmented lagrangian relaxation method (al-pinns).Neurocomputing, 548: 126424, 2023.Cited on pages 1, 6, 7, and 15.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Enhanced physics-informed neural networks with augmented lagrangian relaxation method (al-pinns).Neurocomputing, 548: 126424, 2023.Cited on pages 1, 6, 7, and 15

Reference 8

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Source-reported events for the cited work

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Observation 93b1b2ac-7ad6-4afc-8ca7-26a67dc8a2a6 · outbound

This paper cites an unresolved cited work.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Unresolved cited work

Reference 9

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Observation 13a09cbb-b6fd-4221-a1d7-1aaed2423c87 · outbound

This paper cites A single-loop stochastic feasible interior-point algorithm for nonlinear inequality-constrained optimization: F.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A single-loop stochastic feasible interior-point algorithm for nonlinear inequality-constrained optimization: F

Reference 10

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Source-reported events for the cited work

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Observation 3ee13b33-7739-4cec-9016-658995a6515c · outbound

This paper cites A trust-region interior- point stochastic sequential quadratic programming method.arXiv preprint arXiv:2603.10230, 2026.Cited on pages 1 and 3.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A trust-region interior- point stochastic sequential quadratic programming method.arXiv preprint arXiv:2603.10230, 2026.Cited on pages 1 and 3

Reference 11

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Source-reported events for the cited work

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Stochastic Penalty-Barrier Methods for Constrained Machine Learning Unresolved cited work

Reference 12

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Observation b114c7c2-a615-4438-93a2-c54a918dd4ac · outbound

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Stochastic Penalty-Barrier Methods for Constrained Machine Learning Unresolved cited work

Reference 13

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Observation 1b404cbe-9ea9-4710-a504-73e9357f7066 · outbound

This paper cites Stochastic subgradient for composite convex optimization with functional constraints.Journal of Machine Learning Research, 23(265):1–35, 2022.Cited on pages 1 and 2.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Stochastic subgradient for composite convex optimization with functional constraints.Journal of Machine Learning Research, 23(265):1–35, 2022.Cited on pages 1 and 2

Reference 14

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Source-reported events for the cited work

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Observation c380260a-24e8-425c-94ef-91c0b7dee54a · outbound

This paper cites Mini-batch stochastic subgra- dient for functional constrained optimization.Optimization, 73(7):2159–2185, 2024.Cited on pages 1 and 2.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Mini-batch stochastic subgra- dient for functional constrained optimization.Optimization, 73(7):2159–2185, 2024.Cited on pages 1 and 2

Reference 15

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Source-reported events for the cited work

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Observation e270c253-99dd-4f05-ba88-395e12c08ec7 · outbound

This paper cites Stochastic halfspace approximation method for convex optimization with nonsmooth functional constraints.IEEE Transactions on Automatic Control, 2024.Cited on pages 1 and 2.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Stochastic halfspace approximation method for convex optimization with nonsmooth functional constraints.IEEE Transactions on Automatic Control, 2024.Cited on pages 1 and 2

Reference 16

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Source-reported events for the cited work

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Observation 84b0d7a2-046c-45aa-8c85-c967af9a6415 · outbound

This paper cites Stochastic first-order methods for convex and nonconvex functional constrained optimization.Mathematical Programming, 197(1):215–279, 2023.Cited on pages 1 and 2.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Stochastic first-order methods for convex and nonconvex functional constrained optimization.Mathematical Programming, 197(1):215–279, 2023.Cited on pages 1 and 2

Reference 17

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Source-reported events for the cited work

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Observation 54fc5afa-2827-460f-8789-4c0d6203ae58 · outbound

This paper cites Oracle complexity of single-loop switching subgradient methods for non-smooth weakly convex functional constrained optimization.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Oracle complexity of single-loop switching subgradient methods for non-smooth weakly convex functional constrained optimization

Reference 18

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Source-reported events for the cited work

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Observation 7d97b840-bfa3-4d68-81c0-ed6ad3b9bf50 · outbound

This paper cites Stochastic smoothed primal-dual algorithms for nonconvex optimization with linear inequality constraints.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Stochastic smoothed primal-dual algorithms for nonconvex optimization with linear inequality constraints

Reference 19

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Observation 173e4fc0-cc3a-4798-8d95-e911c2326469 · outbound

This paper cites Penalty/barrier multiplier methods for convex pro- gramming problems.SIAM Journal on Optimization, 7(2):347–366, 1997.Cited on pages 2, 3, and 4.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Penalty/barrier multiplier methods for convex pro- gramming problems.SIAM Journal on Optimization, 7(2):347–366, 1997.Cited on pages 2, 3, and 4

Reference 20

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Observation 3eff7f36-359f-4cf9-b045-11daefc24aeb · outbound

This paper cites Proximal algorithms.Foundations and trends® in Optimiza- tion, 1(3):127–239, 2014.Cited on pages 2 and 4.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Proximal algorithms.Foundations and trends® in Optimiza- tion, 1(3):127–239, 2014.Cited on pages 2 and 4

Reference 21

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Source-reported events for the cited work

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Observation d252776a-686c-4b1c-b59c-f68406da0d3d · outbound

This paper cites Convex analysis.Princeton Mathematical Series, 28, 1970.Cited on page 2.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Convex analysis.Princeton Mathematical Series, 28, 1970.Cited on page 2

Reference 22

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Observation 024a319a-fc37-4eb9-8aad-bf5cbf536ad3 · outbound

This paper cites Learning multiple layers of features from tiny images.(2009), 2009.Cited on pages 2 and 6.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Learning multiple layers of features from tiny images.(2009), 2009.Cited on pages 2 and 6

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 0f4eaecf-51ba-4ded-b05a-9e3cc6dac674 · outbound

This paper cites Retiring adult: New datasets for fair machine learning.Advances in Neural Information Processing Systems, 34, 2021.Cited on pages 2, 5, and 25.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Retiring adult: New datasets for fair machine learning.Advances in Neural Information Processing Systems, 34, 2021.Cited on pages 2, 5, and 25

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation c0307d2e-cec3-4a45-b623-8a25f6f4f9bc · outbound

This paper cites 12 2001.Cited on pages 2, 5, and 25.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning 12 2001.Cited on pages 2, 5, and 25

Reference 25

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Source-reported events for the cited work

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Observation 087fc086-001f-48bf-ac38-54c2aacef7ff · outbound

This paper cites A Stochastic Sequential Quadratic Optimization Algorithm for Nonlinear Equality Constrained Optimization with Rank-Deficient Jacobians.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A Stochastic Sequential Quadratic Optimization Algorithm for Nonlinear Equality Constrained Optimization with Rank-Deficient Jacobians

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 377fbde5-41f7-41f0-9c4b-069f5e296d69 · outbound

This paper cites Curtis, Michael J.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Curtis, Michael J

Reference 27

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doi, observed 2026-05-20T12:23:16.667100Z

Source-reported events for the cited work

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Observation 018dff2f-de2c-4bbd-b007-0ae9d6776fe5 · outbound

This paper cites Mahoney, and Mladen Kolar.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Mahoney, and Mladen Kolar

Reference 28

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doi, observed 2026-05-20T12:23:16.670582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation e6420a0b-bbea-4b8f-ac9f-0661f427fa95 · outbound

This paper cites An adaptive stochastic sequential quadratic programming with differentiable exact augmented lagrangians.Mathematical Programming, 199(1):721–791, May 2023.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning An adaptive stochastic sequential quadratic programming with differentiable exact augmented lagrangians.Mathematical Programming, 199(1):721–791, May 2023

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 381ff346-8b57-431f-ad51-77ac9f5126a5 · outbound

This paper cites Stochastic Approximation for Expectation Objective and Expectation Inequality-Constrained Nonconvex Optimization.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Stochastic Approximation for Expectation Objective and Expectation Inequality-Constrained Nonconvex Optimization

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:13e7e548bf3e01e743c23c5cd09e2f7df1acaa33ec1368e592af8cd62a5631cb

Observation ac89698f-cd81-48e2-98db-d4197e2f0b31 · outbound

This paper cites Quadratically regularized subgradient methods for weakly convex optimization with weakly convex constraints.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Quadratically regularized subgradient methods for weakly convex optimization with weakly convex constraints

Reference 31

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raw_fallback, observed 2026-05-20T12:23:27.655057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:dd06ba0550953a813b13a5e207716087029645a81f67c5290cadf34a10c0b690

Observation 8d528474-9ad9-428d-ab26-2f1d48f4b6b7 · outbound

This paper cites Curtis, Daniel P.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Curtis, Daniel P

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:ce269079d0504a38e4d8e36e5af08690df6a9556049b42d69da25cb019bec829

Observation 787ef59f-6de4-42b1-b4d5-085aa2830917 · outbound

This paper cites A momentum-based linearized augmented lagrangian method for nonconvex constrained stochastic optimization.Optimization Online.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A momentum-based linearized augmented lagrangian method for nonconvex constrained stochastic optimization.Optimization Online

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:5e3f81103f180f1194c8a6eff9f5654c3755c107713fdda6d016de238f815d6e

Observation 3468ce5d-af82-435b-bce8-a3b2aa3b7104 · outbound

This paper cites Inequality Constrained Stochastic Nonlinear Optimization via Active-Set Sequential Quadratic Programming.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Inequality Constrained Stochastic Nonlinear Optimization via Active-Set Sequential Quadratic Programming

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:3b87ecd60d44331f7693aae81030ac46c2105ace4e316d88c32ead9a54f6d725

Observation a74eb340-f4fb-4a10-8935-8a89d4d70165 · outbound

This paper cites Constrained optimization in the presence of noise.SIAM Journal on Optimization, 33(3):2118–2136.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Constrained optimization in the presence of noise.SIAM Journal on Optimization, 33(3):2118–2136

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:b2161374f7aa41d05c472a1fa6164af42d4cbf7ceca28df927b562316f3e2c3a

Observation f23fad94-d2af-40a3-b883-ecf3f157f398 · outbound

This paper cites An adaptive sampling augmented lagrangian method for stochastic optimization with deterministic constraints.Computers and Mathematics with Applications, 149:239–258.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning An adaptive sampling augmented lagrangian method for stochastic optimization with deterministic constraints.Computers and Mathematics with Applications, 149:239–258

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:af76ceae76d58cb3d15b159c53d1967878fe8db537f19ea2ff6a843be62ce608

Observation 4dd6a276-1045-408d-a9d6-58f2bc74566e · outbound

This paper cites doi: https://doi.org/10.1016/j.camwa.2023.09.014.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning doi: https://doi.org/10.1016/j.camwa.2023.09.014

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doi, observed 2026-05-20T12:23:16.675137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:80f84ee35d451eab0ea6b7f4d008496003feb21379804d9075aaf8b26de4421b

Observation a0f22a68-1269-4da3-a51a-8fb492398916 · outbound

This paper cites Cooper: A Library for Constrained Optimization in Deep Learning, April 2025.Cited on page 3.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Cooper: A Library for Constrained Optimization in Deep Learning, April 2025.Cited on page 3

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raw_fallback, observed 2026-05-20T12:23:27.592342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:a4e74dfb6ac54791e90b4295e916b177b8ec014a9ac77f03b722032fb9878ae4

Observation e91bc7ce-32fe-4c13-8ef5-54f82e219355 · outbound

This paper cites an unresolved cited work.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Unresolved cited work

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arxiv_id, observed 2026-05-20T12:23:16.934883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:e5ead7e3d64bc6b8d66c6a1456b273879ad5a35c21ebef4797c0c35e0ebe0f3e

Observation 5c03805e-7220-4a28-b471-85c5898c5233 · outbound

This paper cites A general method for solving extremal problems.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A general method for solving extremal problems

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Resolution
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raw_fallback, observed 2026-05-20T12:23:27.636112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:5e0ded481fcf24e51d0ae4290f8a4abfb41cc89cdcaeeffb4fe9617e25832075

Observation 46490ab5-fdf2-4b4d-ba1c-82f4c86342d3 · outbound

This paper cites Pennon: A code for convex nonlinear and semidefinite programming.Optimization methods and software, 18(3):317–333, 2003.Cited on page 3.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Pennon: A code for convex nonlinear and semidefinite programming.Optimization methods and software, 18(3):317–333, 2003.Cited on page 3

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Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:1e32c1771b67ec0ae948d12c76a4a42351dfc2a6ae86a49a9543010368bb503e

Observation 2dd2cc5f-8b85-4808-a1d2-21c743e0a647 · outbound

This paper cites Pennon: a generalized augmented lagrangian method for semidefinite programming.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Pennon: a generalized augmented lagrangian method for semidefinite programming

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Resolution
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raw_fallback, observed 2026-05-20T12:23:27.626580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:f956bfb5092c7edf7f4fe509913d04d512e026294fe4f93d411985d58da84b15

Observation 115f49db-e175-4631-b1d1-e584f3b84d6c · outbound

This paper cites Pennon: Software for linear and nonlinear matrix inequali- ties.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Pennon: Software for linear and nonlinear matrix inequali- ties

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Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T12:23:27.608010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:64b5768c9cb96f5caabc2ffcd732d9eddf1634f2b64944d585125da131f84c0c

Observation 11ef6c0b-016f-4719-bdbc-bbc643a3b191 · outbound

This paper cites A penalty barrier framework for nonconvex con- strained optimization.Journal of Nonsmooth Analysis and Optimization, 5(Original research articles), 2025.Cited on page 3.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A penalty barrier framework for nonconvex con- strained optimization.Journal of Nonsmooth Analysis and Optimization, 5(Original research articles), 2025.Cited on page 3

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Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:21872f532d26608cbdab0199c587bc07a0076b802b76a1a2b726da96942292f5

Observation 365b8a34-7519-4bf1-be89-dd2c72ccf88d · outbound

This paper cites Augmented lagrangians and applications of the proximal point algorithm in convex programming.Mathematics of operations research, 1(2):97–116, 1976.Cited on page 3.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Augmented lagrangians and applications of the proximal point algorithm in convex programming.Mathematics of operations research, 1(2):97–116, 1976.Cited on page 3

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Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T12:23:27.673026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:45fbd3d57261dd102465e5a4559f7ed4ce4ebd27c72349d529a2728d5c0adcfd

Observation 7a263552-f105-4240-9d33-71af9d3d15e6 · outbound

This paper cites Augmented lagrange multiplier functions and duality in nonconvex programming.SIAM Journal on Control, 12(2):268–285.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Augmented lagrange multiplier functions and duality in nonconvex programming.SIAM Journal on Control, 12(2):268–285

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Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T12:23:27.605902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:ed7b351f1ef8d5c710efcb678d123e98593f6726c3fd3fa814007c2e8c8449f2

Observation ec1c5db0-3ff1-48e8-8fb6-f1712bfbe5bd · outbound

This paper cites The multiplier method of hestenes and powell applied to convex pro- gramming.Journal of Optimization Theory and applications, 12(6):555–562.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning The multiplier method of hestenes and powell applied to convex pro- gramming.Journal of Optimization Theory and applications, 12(6):555–562

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Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:ae49eeac14574d62007ee7e4ae587ad761f6a1ae59aa3de86280b82ad54a489b

Observation 9618898b-86de-4062-9e61-fbaae95584b8 · outbound

This paper cites A dual approach to solving nonlinear programming problems by uncon- strained optimization.Mathematical programming, 5(1):354–373.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A dual approach to solving nonlinear programming problems by uncon- strained optimization.Mathematical programming, 5(1):354–373

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Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:dc720868b8e921d0e12db173365aad4857ac8a98a08a5d616d89ef08ff952d16

Observation 8135482d-1bcb-4b31-b34b-4aa8e324c91f · outbound

This paper cites A method for nonlinear constraints in minimization problems.Optimization, pages 283–298.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A method for nonlinear constraints in minimization problems.Optimization, pages 283–298

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Resolution
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raw_fallback, observed 2026-05-20T12:23:27.600161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:97605af97cd88fb8b75cda4b9f83a75ae993bc74b2e89e55dbbd0dff9807ec18

Observation 2e0b831b-2235-49a3-8a9a-a2de5cbc4615 · outbound

This paper cites Multiplier and gradient methods.Journal of optimization theory and applications, 4(5):303–320.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Multiplier and gradient methods.Journal of optimization theory and applications, 4(5):303–320

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Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:216b5ade05ca6c3e2ff92524abe11c910319a96abac981b4849cb87b6b3df060

Observation 8c5a2ce5-85a2-4b55-89e2-1a4ebb2821e0 · outbound

This paper cites an unresolved cited work.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Unresolved cited work

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raw_fallback, observed 2026-05-20T12:23:27.642640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:181a92005493078219407a4c74e0ac511cdefdf7eb788c69e22a1caa5f4426f7

Observation 0a4ede49-b149-45c0-9911-87ab46b5f554 · outbound

This paper cites an unresolved cited work.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Unresolved cited work

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Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:69b90d4c8973c70ce3b37fe9e5d7278febdac79653fb666fd38c55bb6193c426

Observation 2b7cff55-4139-4df5-a589-baf7cd62dee9 · outbound

This paper cites Smoothed Proximal Lagrangian Method for Nonlinear Constrained Programs.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Smoothed Proximal Lagrangian Method for Nonlinear Constrained Programs

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Resolution
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arxiv_id, observed 2026-05-20T12:23:16.916166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:445114f2516b43c45fb7222c30ff782d7b4d2245a4e68902dbbb5f66f5317cbf

Observation 80f3340c-b25d-4119-a694-2310056d19e9 · outbound

This paper cites Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization.Computational optimization and applications, 82(1):175–224.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization.Computational optimization and applications, 82(1):175–224

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Resolution
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raw_fallback, observed 2026-05-20T12:23:27.648146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:8262dad4311e12c832d06eb17ef773a184e465e59e9dbd71a87bac5732e06be0

Observation 2faf0c47-28c3-44f8-97de-6338aa366d99 · outbound

This paper cites A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization.SIAM Journal on Optimization, 30(3):2272–2302, 2020.Cited on page 4.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization.SIAM Journal on Optimization, 30(3):2272–2302, 2020.Cited on page 4

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Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:c6b2994e0de738380bfb60c531ec182ab072cb0f28376c4d1be62ec903d016fc

Observation b0b8ec4d-a1cf-4df5-822b-a90fb6341853 · outbound

This paper cites On the Iteration Complexity of Smoothed Proximal ALM for Nonconvex Optimization Problem with Convex Constraints.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning On the Iteration Complexity of Smoothed Proximal ALM for Nonconvex Optimization Problem with Convex Constraints

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Resolution
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arxiv_id, observed 2026-05-20T12:23:16.940563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 69a7cf98-95be-4bb2-a105-3c0978d1cda6 · outbound

This paper cites SIAM, Philadelphia, PA.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning SIAM, Philadelphia, PA

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doi, observed 2026-05-20T12:23:16.665455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:c3fd7a0b5df470c1a2f5b2f49e68777e4ccff1a3692c511891c1ac53c67ab03b

Observation 40142151-46fe-4266-bcb2-dbe260a0859c · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Adam: A Method for Stochastic Optimization

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Resolution
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local_arxiv, observed 2026-05-20T12:23:16.919094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:6d7d6fc15ef63eb6250ca5c97e6549c5cfa64575bf0b20e72d7aef4770ad7f41

Observation e6f7ea4a-e0ca-44f3-9a7f-17862f64cd0e · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

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Resolution
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local_arxiv, observed 2026-05-20T12:23:16.931627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:3ea624664445bccd3ed0d8babbb9a2780e6dab1612bcd8e58e8a57c5e1c8ac62

Observation 49b1f427-f0c7-4ae2-9db0-9bd756551531 · outbound

This paper cites fairret: a Framework for Differentiable Fairness Regularization Terms.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning fairret: a Framework for Differentiable Fairness Regularization Terms

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Resolution
verified exact
arxiv_id, observed 2026-05-20T12:23:16.922222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:39c5d8067957cad7ef8c1f53feb65904e7f65dfbe55920798b491069b1afa7d9

Observation 4a68acdb-5e3a-46e2-b5b5-0cdc777c5a34 · outbound

This paper cites When and why pinns fail to train: A neural tangent kernel perspective.Journal of Computational Physics, 449:110768, 2022.Cited on pages 6 and 7.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning When and why pinns fail to train: A neural tangent kernel perspective.Journal of Computational Physics, 449:110768, 2022.Cited on pages 6 and 7

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raw_fallback, observed 2026-05-20T12:23:27.658267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:0a4b4e0124cd7a1273653e3a9f96104c2227d1cecb77e5c9cb034b18336239bb

Observation c023fb95-e838-43c3-9d09-7d355fc05a93 · outbound

This paper cites Understanding and mitigating gradient flow pathologies in physics-informed neural networks.SIAM Journal on Scientific Computing, 43 (5):A3055–A3081, 2021.Cited on pages 6 and 7.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Understanding and mitigating gradient flow pathologies in physics-informed neural networks.SIAM Journal on Scientific Computing, 43 (5):A3055–A3081, 2021.Cited on pages 6 and 7

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Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T12:23:27.572447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:a4f0f62efaea54ad4ea20e3b56dce6fb4b50eb1798930eb51933fc55777a78c5

Observation 69e22316-ce42-466d-800f-99620487eb44 · outbound

This paper cites McClenny and Ulisses M.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning McClenny and Ulisses M

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Resolution
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arxiv_id, observed 2026-05-20T12:23:16.673407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:c65b247807b0a9601f862ccae76248a262a85adbb7cac72d02e214988813ecf3

Observation 2d6729ba-27cf-418c-b140-a2e0b0452942 · outbound

This paper cites Solving PDEs as constrained optimization.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Solving PDEs as constrained optimization

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Resolution
malformed identifier
raw_fallback, observed 2026-05-20T12:23:27.632366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:b83568b4e9ddd794421fe1574a4387b6ed66b61b43ec68cb66f1640919411646

Observation a0109030-3df8-47c7-89e5-2fab717bffa0 · outbound

This paper cites [4] is used under the Apache 2.0 License.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning [4] is used under the Apache 2.0 License

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T12:23:27.619096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:dfc6c002043f5764e59735acdf4b37f46ce225217936a001764ca708db14a35c

Observation 07072a6b-15d9-4c04-9010-ac542692fe29 · outbound

This paper cites Guidelines: • The answer [N/A] means that the paper does not involve crowdsourcing nor research with human subjects.

Stochastic Penalty-Barrier Methods for Constrained Machine Learning Guidelines: • The answer [N/A] means that the paper does not involve crowdsourcing nor research with human subjects

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T12:23:27.677150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-20T12:20:38.441893Z digest=sha256:7407b094f6affd38b94fcfb7b985eb301eaf3728dae7ccaf369816ecfdcbb0b0

Pith citing papers

Observation f8ed6b45-492e-4323-8fb2-c348e6191571 · inbound

Residual-Controlled Multiplier Learning for Stochastic Constrained Decision-Making cites this paper.

Residual-Controlled Multiplier Learning for Stochastic Constrained Decision-Making Stochastic Penalty-Barrier Methods for Constrained Machine Learning

Reference 51

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T16:27:08.978160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-06-27T22:44:57.411092Z digest=sha256:2139028d17641699b6a0e8054d9018a88fb0815638dbe0b65ead8e67abaf3557