Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T12:12:35.266721Z
Paper Citation Record · LEDGER
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems
As of 12 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2601.04120.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T18:10:57.897497Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-01T20:46:12.922754Z
Reference resolution
59 of 59 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved59
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- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3b0b0930-a2ce-4866-9594-a0c0d6739270 · outbound
This paper cites A neural network approach to learning solutions of a class of elliptic variational inequalities.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems A neural network approach to learning solutions of a class of elliptic variational inequalities
Reference 1
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 680d821d-234b-430e-a998-2c52a5c7a7fb · outbound
This paper cites Barbu , Optimal control of variational inequalities , Research Notes in Math., 100 (1984).
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Barbu , Optimal control of variational inequalities , Research Notes in Math., 100 (1984)
Reference 2
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Observation 0308c88a-6520-4d7f-b7ec-c939d25cd25a · outbound
This paper cites Barry-Straume, A.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Barry-Straume, A
Reference 3
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23b33946-d518-4119-ad7e-162c0d39a3be · outbound
This paper cites Bergounioux , Use of augmented Lagrangian methods for the optimal control of obstacle problems , Journal of Optimization Theory and Applications, 95 (1997), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Bergounioux , Use of augmented Lagrangian methods for the optimal control of obstacle problems , Journal of Optimization Theory and Applications, 95 (1997), pp
Reference 4
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56834ca3-745a-46f5-9274-1d901b33495f · outbound
This paper cites Bergounioux and S.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Bergounioux and S
Reference 5
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1ed8994-9ff0-4737-8d15-078da11a0b96 · outbound
This paper cites Bourgat and G.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Bourgat and G
Reference 6
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e79392d-0ac4-4624-a641-a7ff82535f80 · outbound
This paper cites u ller, and C. L \.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems u ller, and C. L \
Reference 7
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12393b1d-ec99-45c0-8a2c-65ce9472b35a · outbound
This paper cites Brezis and G.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Brezis and G
Reference 8
- Resolution
- unresolved
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Unavailable: canonical work link unavailable.
Observation 72f2133c-225c-4865-b922-25d0fdceddd3 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 9
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0078e6f-b63e-457b-b18d-a310061ce871 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 10
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01e8a779-3b2f-449b-9236-af5baa36b37b · outbound
This paper cites Cheng, X.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Cheng, X
Reference 11
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1330c10a-9ca1-48d3-b47d-5cead05c32f0 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 12
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Observation e539858d-78e8-4ef9-a780-1c64441491a5 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 13
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37ea1749-75ce-45c4-aafb-b87a43f43024 · outbound
This paper cites Cybenko , Approximation by superpositions of a sigmoidal function , Mathematics of Control, Signals and Systems, 2 (1989), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Cybenko , Approximation by superpositions of a sigmoidal function , Mathematics of Control, Signals and Systems, 2 (1989), pp
Reference 14
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce92c83d-d14e-4175-bcb5-22e87e8e2692 · outbound
This paper cites Darehmiraki , A deep learning approach for the obstacle problem , in Proceedings of Academia-Industry Consortium for Data Science: AICDS 2020, Springer, 2022, pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Darehmiraki , A deep learning approach for the obstacle problem , in Proceedings of Academia-Industry Consortium for Data Science: AICDS 2020, Springer, 2022, pp
Reference 15
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65d74692-c8ae-4811-a4ff-29d556986add · outbound
This paper cites De Los Reyes , On the optimal control of some nonsmooth distributed parameter systems arising in mechanics , GAMM-Mitteilungen, 40 (2018), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems De Los Reyes , On the optimal control of some nonsmooth distributed parameter systems arising in mechanics , GAMM-Mitteilungen, 40 (2018), pp
Reference 16
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Unavailable: canonical work link unavailable.
Observation 8160d55d-23c9-4510-b198-b92b580d0a25 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 17
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Observation 1e4db76c-8e35-4353-b4cf-3bb57cfe847e · outbound
This paper cites El Bahja, J.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems El Bahja, J
Reference 18
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d47120f-c0ff-464a-a46f-b98b3d91a30a · outbound
This paper cites Friedman , Variational Principles and Free-Boundary Problems , Dover Books on Mathematics, Dover Publications, 2010.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Friedman , Variational Principles and Free-Boundary Problems , Dover Books on Mathematics, Dover Publications, 2010
Reference 19
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7fbf860-c3e2-4710-b45e-d340db4bca77 · outbound
This paper cites u ller, R. H. Hoppe, and C. L \.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems u ller, R. H. Hoppe, and C. L \
Reference 20
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5c8d39d-4277-40d8-9148-5f611aed5a7a · outbound
This paper cites Moreau Envelope Based Difference-of-weakly-Convex Reformulation and Algorithm for Bilevel Programs.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Moreau Envelope Based Difference-of-weakly-Convex Reformulation and Algorithm for Bilevel Programs
Reference 21
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Unavailable: canonical work link unavailable.
Observation 6f2a216b-c70e-4114-880e-5123179cd282 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 22
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Unavailable: canonical work link unavailable.
Observation 0bf1e6e5-2aca-4b91-af37-360b5678f168 · outbound
This paper cites Glowinski , Lectures on Numerical Methods for Non-Linear Variational Problems , Springer Science & Business Media, 2008.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Glowinski , Lectures on Numerical Methods for Non-Linear Variational Problems , Springer Science & Business Media, 2008
Reference 23
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8445aa9e-5113-4ab9-a109-1ef25a4e1129 · outbound
This paper cites Glowinski , Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems , SIAM, 2015.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Glowinski , Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems , SIAM, 2015
Reference 24
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Unavailable: canonical work link unavailable.
Observation 86cf702f-5116-4c61-a028-12eae0b55cfb · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 25
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 869990dd-5c4d-45c2-bc01-fb316995a7d6 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 26
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93687cef-e66e-4bd7-980c-05a7ab6ade05 · outbound
This paper cites u ller, R. H. Hoppe, and C. L \.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems u ller, R. H. Hoppe, and C. L \
Reference 27
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 192e9d38-fb10-4507-b0dd-f2e62aa15f29 · outbound
This paper cites Hinterm \"u ller and I.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Hinterm \"u ller and I
Reference 28
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b2b5723-5f4d-43f2-baf6-8c9dad9e9ccd · outbound
This paper cites Hinterm \"u ller and I.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Hinterm \"u ller and I
Reference 29
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60e37f33-7e63-414a-90fe-41fc80557b2a · outbound
This paper cites u ller, C. L \.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems u ller, C. L \
Reference 30
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 717eea34-d515-4310-9b8b-47325517f2a5 · outbound
This paper cites Hinterm \"u ller and T.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Hinterm \"u ller and T
Reference 31
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 220e4a1a-c20f-47de-a4b5-4e99fbedd0d8 · outbound
This paper cites Hornik , Approximation capabilities of multilayer feedforward networks , Neural Networks, 4 (1991), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Hornik , Approximation capabilities of multilayer feedforward networks , Neural Networks, 4 (1991), pp
Reference 32
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d03d6b3-45c4-4d09-ac22-523374ff9da3 · outbound
This paper cites Hornik, M.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Hornik, M
Reference 33
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f4e00c5-0b7b-4d07-9128-0015fdf6f0c0 · outbound
This paper cites Ito and K.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Ito and K
Reference 34
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Observation 5a45fc49-e70d-42de-bbd7-769d1ba2b0c0 · outbound
This paper cites Ito and K.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Ito and K
Reference 35
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Observation 75877fec-2d36-4c0c-93f4-fd6e411fc364 · outbound
This paper cites Jaillet, D.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Jaillet, D
Reference 36
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d5b406d-5e85-4bd9-9ba5-6d6e817dc259 · outbound
This paper cites Kinderlehrer and G.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Kinderlehrer and G
Reference 37
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Unavailable: canonical work link unavailable.
Observation 49bebea6-d4c6-4968-ac3f-9339c8425878 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 38
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Unavailable: canonical work link unavailable.
Observation afd09c21-27a1-4270-9023-2529437c5ea0 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 39
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Observation 171fd8a2-103d-4579-b1c8-025f47c35cd0 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 40
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a41483f6-5d8d-4732-b7ca-7854ae03621c · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 41
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03560647-b29b-4d5b-8e1c-c756120fabd4 · outbound
This paper cites Meyer, A.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Meyer, A
Reference 42
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Unavailable: canonical work link unavailable.
Observation 50f24ba1-e469-40f5-a0d5-57c82b29939e · outbound
This paper cites Meyer and O.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Meyer and O
Reference 43
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation deaa777a-dcaf-437e-82fa-24bdedee3059 · outbound
This paper cites Mignot , Contr \^o le dans les in \'e quations variationelles elliptiques , Journal of Functional Analysis, 22 (1976), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Mignot , Contr \^o le dans les in \'e quations variationelles elliptiques , Journal of Functional Analysis, 22 (1976), pp
Reference 44
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e3576ec-af58-4cf6-9686-cde9bba7302a · outbound
This paper cites Mignot and J.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Mignot and J
Reference 45
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3623220-3523-4361-9224-6a931d605b9f · outbound
This paper cites Mowlavi and S.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Mowlavi and S
Reference 46
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 033ecdd1-1b64-49c7-a67a-c83b741d661c · outbound
This paper cites Nemirovski, A.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Nemirovski, A
Reference 47
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ce18784-99d9-4877-a520-f34c32fcbb9a · outbound
This paper cites Raissi, P.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Raissi, P
Reference 48
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23030fc8-3b1b-4472-b9a7-1ea3d997a0ea · outbound
This paper cites Schiela and D.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Schiela and D
Reference 49
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 236e3a03-c6cc-41f4-956f-336893409252 · outbound
This paper cites Sirignano and K.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Sirignano and K
Reference 50
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00e4faa3-a265-44d0-a2c1-cc3f53e326bc · outbound
This paper cites Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems
Reference 51
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55c69864-7c92-4716-a3a3-9558a83d3baa · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 52
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcf0bece-e948-4cca-86da-dc397924a9fd · outbound
This paper cites An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs
Reference 53
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 872c1119-1a50-409f-95ac-1bf137bfb9e8 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 54
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45cfaf1d-2cf5-46a9-9bd5-28e7a0a5d83e · outbound
This paper cites Wachsmuth , Strong stationarity for optimal control of the obstacle problem with control constraints , SIAM Journal on Optimization, 24 (2014), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Wachsmuth , Strong stationarity for optimal control of the obstacle problem with control constraints , SIAM Journal on Optimization, 24 (2014), pp
Reference 55
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9576372e-3b8b-4e8c-825a-cbec1fd7076a · outbound
This paper cites Wachsmuth , Towards M-stationarity for optimal control of the obstacle problem with control constraints , SIAM Journal on Control and Optimization, 54 (2016), pp.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Wachsmuth , Towards M-stationarity for optimal control of the obstacle problem with control constraints , SIAM Journal on Control and Optimization, 54 (2016), pp
Reference 56
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a354286-a7e2-4e1b-abb1-225a344e6662 · outbound
This paper cites Fast PDE-constrained optimization via self-supervised operator learning.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Fast PDE-constrained optimization via self-supervised operator learning
Reference 57
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T12:12:35.261209Z
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Observation b956511c-2959-4f5a-a349-ae3e8b6a0760 · outbound
This paper cites an unresolved cited work.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems Unresolved cited work
Reference 58
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- no resolver link, observed 2026-08-03T12:12:35.264282Z
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Observation 49480ada-1780-4653-b076-1cabe03ad23b · outbound
This paper cites write newline.
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems write newline
Reference 59
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- unresolved
- no resolver link, observed 2026-08-03T12:12:35.266721Z
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Pith citing papers
Observation bc51574e-fa65-4ea2-9ed9-73c4a070dc99 · inbound
Constrained Neural Parameterization for Optimization in Function Spaces cites this paper.
Constrained Neural Parameterization for Optimization in Function Spaces A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems
Reference 37
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- verified exact
- local_arxiv, observed 2026-07-01T20:46:12.924653Z
Source-reported events for the cited work
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