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Paper Citation Record · LEDGER

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification

As of 18 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2506.10269.

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

pith.paper-citation-record.v1
2506.10269 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:38:00.298103Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

  • verified exact1
  • verified fuzzy46
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb27ed11-024b-44b4-98af-766c11448e2e · outbound

This paper cites Strong Mixed-Integer Programming Formulations for Trained Neural Networks.Mathematical Programming, 183(1):3–39, 2020.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Strong Mixed-Integer Programming Formulations for Trained Neural Networks.Mathematical Programming, 183(1):3–39, 2020

Reference 1

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raw_fallback, observed 2026-08-07T04:38:01.447393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8c0f085f-840f-4910-b18d-a1b73968456f · outbound

This paper cites an unresolved cited work.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-07T04:38:01.429771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2b2b3b5d-00b1-42d2-b5be-8cae81bbd1fb · outbound

This paper cites Neural Machine Translation by Jointly Learning to Align and Translate.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Neural Machine Translation by Jointly Learning to Align and Translate

Reference 3

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no resolver link, observed 2026-08-07T04:37:59.943361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:37:59.943361Z digest=sha256:8a9be19b27affea7aa2d64a3a27f39494a07ee36a519f5edbae1e30d2e9c8b8d

Observation 9f9cab6f-c874-4be6-aad9-648f52b4b491 · outbound

This paper cites Measuring Neural Net Robustness With Constraints.Advances in Neural Information Processing Systems, 29, 2016.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Measuring Neural Net Robustness With Constraints.Advances in Neural Information Processing Systems, 29, 2016

Reference 4

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raw_fallback, observed 2026-08-07T04:38:01.413029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.949187Z digest=sha256:841b29ba6eb7488f772038313e36a49e1db0e72f80bbb64dcf7e346341830b2b

Observation 0c0d51ee-f3f2-420a-b96e-8655132d794d · outbound

This paper cites Efficient Neural Network Verification via Layer-Based Semidefinite Relaxations and Linear Cuts.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Efficient Neural Network Verification via Layer-Based Semidefinite Relaxations and Linear Cuts

Reference 5

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raw_fallback, observed 2026-08-07T04:38:01.395094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.954248Z digest=sha256:89024cc53a662604828ca9e0a63a056e2a567123ccbd71f0934a6f67f5c6f33c

Observation 4205f471-b8b4-47ee-86d3-b822546de9fd · outbound

This paper cites Efficient Verification of ReLU-Based Neural Networks via Dependency Analysis.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Efficient Verification of ReLU-Based Neural Networks via Dependency Analysis

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.373582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.959663Z digest=sha256:372cf4403483e5dd1725c373b20f7c323ec101307e172d9f8152c50900963c64

Observation efdf2190-10a7-456b-ab2d-a10f81e865ca · outbound

This paper cites Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers.Foundations and Trends® in Machine Learning, 3(1):1–122, 2011.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers.Foundations and Trends® in Machine Learning, 3(1):1–122, 2011

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.358349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.966053Z digest=sha256:f8bbc6aae45c4b6202681b2af50129d2ce3bd75eae56e5500273dd5021d1ad9c

Observation a7caee1c-ab5a-4df4-89da-b7922f5f0070 · outbound

This paper cites The Fifth International Verification of Neural Networks Competition (VNN-COMP 2024): Summary and Results.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification The Fifth International Verification of Neural Networks Competition (VNN-COMP 2024): Summary and Results

Reference 8

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unresolved
no resolver link, observed 2026-08-07T04:37:59.970837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:37:59.970837Z digest=sha256:3053d96b63b9169b49126cf0163b1c35c87b6721944eb6c44d9f42cbf74845aa

Observation 8922dc2c-e6ba-42cf-90c5-d11a82a823bb · outbound

This paper cites A Unified View of Piecewise Linear Neural Network Verification.Advances in Neural Information Processing Systems, 31, 2018.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification A Unified View of Piecewise Linear Neural Network Verification.Advances in Neural Information Processing Systems, 31, 2018

Reference 9

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raw_fallback, observed 2026-08-07T04:38:01.343035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.978342Z digest=sha256:33822d2298bf9156de6b7c54456861ad20e801546c868cacc1476f6db9bab17c

Observation 23ce62de-79cf-4423-be84-30f1f2ef87c5 · outbound

This paper cites End-to-End Autonomous Driving: Challenges and Frontiers.IEEE Transactions on Pattern Analysis and Machine Intelligence, 2024.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification End-to-End Autonomous Driving: Challenges and Frontiers.IEEE Transactions on Pattern Analysis and Machine Intelligence, 2024

Reference 10

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raw_fallback, observed 2026-08-07T04:38:01.321548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.985076Z digest=sha256:92fc48ce6bbc45a62ea3d290664cda98c57093c82102466ef5620bfbb199f660

Observation f24c578c-c827-411b-a41f-8a7f29d65758 · outbound

This paper cites Maximum Resilience of Artificial Neural Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Maximum Resilience of Artificial Neural Networks

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.990285Z digest=sha256:68641d0f08f761bc44187db4b0311efa8dafa42e0070d9111519b7e003b038ad

Observation 359f69a0-ab43-4caa-858c-ae5dcfc4ac9b · outbound

This paper cites Tight Certification of Adversarially Trained Neural Networks via Nonconvex Low-Rank Semidefinite Relaxations.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Tight Certification of Adversarially Trained Neural Networks via Nonconvex Low-Rank Semidefinite Relaxations

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:37:59.995525Z digest=sha256:e87f600fe32c57ac5d10e1b7f92ec40d70c244d3d024bf695473c6a0cbb771aa

Observation d31dd728-f8b3-4d0f-9bee-b8e1a48a32fc · outbound

This paper cites Certified Adversarial Robustness via Randomized Smoothing.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Certified Adversarial Robustness via Randomized Smoothing

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.000798Z digest=sha256:23694feb14deaf16cb00a4362766857d441de9793a010a4576200f82faa91487

Observation 742f1e58-fa4e-4153-8014-2d17e8b1a5aa · outbound

This paper cites Enabling Certification of Verification-Agnostic Networks via Memory-Efficient Semidefinite Programming.Advances in Neural Information Processing Systems, 33:5318–5331, 2020.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Enabling Certification of Verification-Agnostic Networks via Memory-Efficient Semidefinite Programming.Advances in Neural Information Processing Systems, 33:5318–5331, 2020

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.013142Z digest=sha256:bfe31e3c5e1bb216bf845bb8e54f05caf3da0e77172fe50625c621cbe59fb9e5

Observation a971e7f6-f969-47bf-9147-d45bc19c10a4 · outbound

This paper cites The MNIST Database of Handwritten Digit Images for Machine Learning Research.IEEE Signal Processing Magazine, 29(6):141–142, 2012.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification The MNIST Database of Handwritten Digit Images for Machine Learning Research.IEEE Signal Processing Magazine, 29(6):141–142, 2012

Reference 15

Resolution
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raw_fallback, observed 2026-08-07T04:38:01.221657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.020969Z digest=sha256:e40cdb3414358ee9b14c5a43c22b61cbd321986d079df1f11dfd91f63a0e1181

Observation 6c7b0dd2-4b9d-4935-824c-7fc0e0e23e90 · outbound

This paper cites Formal Verification of Piece-Wise Linear Feed-Forward Neural Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Formal Verification of Piece-Wise Linear Feed-Forward Neural Networks

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.193667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.033637Z digest=sha256:73e824b1768b9f7a7d40931b9148d650b8bd69695a44cdd8c5e5b6b0a65a8093

Observation c6e8a0f4-c70b-40bd-91e2-c461c998438c · outbound

This paper cites Scalable Approximate Optimal Diagonal Preconditioning.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Scalable Approximate Optimal Diagonal Preconditioning

Reference 17

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local_arxiv, observed 2026-08-07T04:38:00.452826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.039861Z digest=sha256:607082be48b4632f93f03113d3a2e868fc6053dc5a97833583685e670fcc0cad

Observation b6e553df-87ac-4f75-9fd1-46bad7cac339 · outbound

This paper cites Explaining and Harnessing Adversarial Examples.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Explaining and Harnessing Adversarial Examples

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:38:00.048224Z digest=sha256:87b2fc56b9af2692c15d68561676dfb31bfe9a882b562b5c45c09ebba7058f2d

Observation 7014157b-eece-44f6-83bc-fb1efbe6a534 · outbound

This paper cites Efficient Neural Network Verification via Adaptive Refinement and Adversarial Search.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Efficient Neural Network Verification via Adaptive Refinement and Adversarial Search

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.172088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.058325Z digest=sha256:2a3ec5e324b7f7fe070809d930ce1894c5033315b3a8a0e93366761a46b4962f

Observation d210fdf7-ac1c-465f-885e-ce98a381b7c2 · outbound

This paper cites Cambridge University Press, Cambridge, England, 2 edition, Oct 2012.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Cambridge University Press, Cambridge, England, 2 edition, Oct 2012

Reference 20

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raw_fallback, observed 2026-08-07T04:38:01.144423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.066780Z digest=sha256:3a2bfe68c35df12301c9997593f58ac234efdd43837b88948f57d9638f982ec0

Observation c174aaf8-5b54-4e0f-91f2-4dd45ba878f6 · outbound

This paper cites Facial Reduction for Symmetry Reduced Semidefinite and Doubly Nonnegative Programs.Mathematical Programming, 200(1):475–529, 2023.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Facial Reduction for Symmetry Reduced Semidefinite and Doubly Nonnegative Programs.Mathematical Programming, 200(1):475–529, 2023

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.121389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.073274Z digest=sha256:40e3b02eb54f808dcfdd07b0403c68a25d00ede33d54432998a8c299a26cae24

Observation c36626f0-75e3-4888-9860-9719097ef45c · outbound

This paper cites Safety Verification of Deep Neural Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Safety Verification of Deep Neural Networks

Reference 22

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raw_fallback, observed 2026-08-07T04:38:01.089530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.082987Z digest=sha256:7bebfd79d7ee3b479ee3b12de8e170af2d9f218aba8310a803e022d96424fd0e

Observation caa7b2e8-4212-45cc-ae7e-99b185c070c8 · outbound

This paper cites Reluplex: An Efficient SMT Solver for Verifying Deep Neural Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Reluplex: An Efficient SMT Solver for Verifying Deep Neural Networks

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.065828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.095131Z digest=sha256:f290a491a1036a5682ca2f838a3e24c6de1ceba183a89813b6dd0353b046db73

Observation 93212bfb-4f0a-4a6f-b848-ba7fc20a5d54 · outbound

This paper cites Reluplex: A Calculus for Reasoning About Deep Neural Networks.Formal Methods in System Design, 60(1):87–116, 2022.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Reluplex: A Calculus for Reasoning About Deep Neural Networks.Formal Methods in System Design, 60(1):87–116, 2022

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.046938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.102814Z digest=sha256:9a6176b0c6faa5af7018f820be18d5cb1bcd747cfe5c88ded44d8922f418c39c

Observation 2df4720a-bf95-4ded-99bf-546790fea349 · outbound

This paper cites ImageNet Classification With Deep Convolutional Neural Networks.Advances in Neural Information Processing Systems, 25, 2012.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification ImageNet Classification With Deep Convolutional Neural Networks.Advances in Neural Information Processing Systems, 25, 2012

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.027303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.109065Z digest=sha256:00e31c2d7b433591517dd296f09f88ff85159a45bfd383ce12b1240e6325a8c3

Observation 65bb556a-69e2-4117-8c8c-c2d26fb767e0 · outbound

This paper cites A Semidefinite Relaxation Based Branch-and-Bound Method for Tight Neural Network Verification.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification A Semidefinite Relaxation Based Branch-and-Bound Method for Tight Neural Network Verification

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:01.004526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.117594Z digest=sha256:f951e7bf57c0883cc850afd42dccb85ffe4809842f1d959f5cd3c21a1cf0d1d0

Observation ebf4718c-cf66-4537-a47b-47604d9e1cc7 · outbound

This paper cites World Scientific, 2009.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification World Scientific, 2009

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.980311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.126179Z digest=sha256:10181bfc9725b7d838c3d401ae0fef79b1c29673f4f31fb8133059ff995449f0

Observation b01fb00d-d5d1-49ca-97a0-258b87244836 · outbound

This paper cites SoK: Certified Robustness for Deep Neural Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification SoK: Certified Robustness for Deep Neural Networks

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.959173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.130875Z digest=sha256:7be4c46e8424254ee6aa529610ed51da63a629240095bbf7f46f993044309234

Observation 86d3e5c2-fcd1-4c3c-b8bc-acce2f3afcd2 · outbound

This paper cites An ADMM-Based Interior-Point Method for Large-Scale Linear Programming.Optimization Methods and Software, 36(2-3):389–424, 2021.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification An ADMM-Based Interior-Point Method for Large-Scale Linear Programming.Optimization Methods and Software, 36(2-3):389–424, 2021

Reference 29

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.942608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.136504Z digest=sha256:862baa87ac8627d662957861e53923337ce10715d3cb2676f2fdad760d4265b9

Observation cbfcaa1f-abaa-4462-a3a9-60d6d0990fb8 · outbound

This paper cites An approach to reachability analysis for feed-forward ReLU neural networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification An approach to reachability analysis for feed-forward ReLU neural networks

Reference 30

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no resolver link, observed 2026-08-07T04:38:00.143913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:38:00.143913Z digest=sha256:ffb79ddb0619f5551a44509f70976fdb183560de621d6ee62fa8eb22b18edef9

Observation e9fa1202-0b32-4441-8240-78730385353c · outbound

This paper cites A Structural Geometrical Analysis of Weakly Infeasible SDPs.Journal of the Operations Research Society of Japan, 59(3):241–257, 2016.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification A Structural Geometrical Analysis of Weakly Infeasible SDPs.Journal of the Operations Research Society of Japan, 59(3):241–257, 2016

Reference 31

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.920270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.152073Z digest=sha256:58ae426ae3caed1394437c19a77966673e91118780f82507fe09fc19c1c35716

Observation 90aaa070-9ef6-42d4-84dd-4df349a5eff2 · outbound

This paper cites Towards Deep Learning Models Resistant to Adversarial Attacks.International Conference on Learning Representations, 2018.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Towards Deep Learning Models Resistant to Adversarial Attacks.International Conference on Learning Representations, 2018

Reference 32

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verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.893309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.158667Z digest=sha256:e89e86258e4f4cad6b4614eb69598d3ed76893e39dd773bdf1b4c62edef9975a

Observation 07bc43bd-6766-420c-8712-d013f34b260d · outbound

This paper cites A Numerical Evaluation of Highly Accurate Multiple-Precision Arithmetic Version of Semidefinite Programming Solver: SDPA-GMP, -QD and -DD.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification A Numerical Evaluation of Highly Accurate Multiple-Precision Arithmetic Version of Semidefinite Programming Solver: SDPA-GMP, -QD and -DD

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.872218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.165272Z digest=sha256:bc7fd41ef282e2e5d90475f965a79c7b84cf3687f59106053f699a129b88b947

Observation dad83c6d-ae6b-485a-9304-c9beeea7b372 · outbound

This paper cites California Institute of Technology, 2000.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification California Institute of Technology, 2000

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.854971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.171250Z digest=sha256:a23bf7e6acb5d66cf25ddf836f900f81d2cade531a37e49ca0f2eb4df25793ac

Observation d2cff32e-1fe0-4085-bef1-850259bec8cd · outbound

This paper cites Partial Facial Reduction: Simplified, Equivalent SDPs via Approximations of the PSD Cone.Mathematical Programming, 171:1–54, 2018.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Partial Facial Reduction: Simplified, Equivalent SDPs via Approximations of the PSD Cone.Mathematical Programming, 171:1–54, 2018

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.837184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.177214Z digest=sha256:34c4be6af7437fb8b4e6ccd7d684c6e2561631291740529a32022f29eb3ac828

Observation 0cf1a5f8-a0e8-40fc-9be4-e5dca83a7489 · outbound

This paper cites Semidefinite Relaxations for Certifying Robustness to Adversarial Examples.Advances in Neural Information Processing Systems, 31, 2018.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Semidefinite Relaxations for Certifying Robustness to Adversarial Examples.Advances in Neural Information Processing Systems, 31, 2018

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.821142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.184892Z digest=sha256:0c4915796bee9b54a5775468a50527024d974abff686e90e4772f1a106270e1e

Observation 9fddd7e1-a345-4186-ae4d-7a845a920c67 · outbound

This paper cites A Convex Relaxation Barrier to Tight Robustness Verification of Neural Networks.Advances in Neural Information Processing Systems, 32, 2019.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification A Convex Relaxation Barrier to Tight Robustness Verification of Neural Networks.Advances in Neural Information Processing Systems, 32, 2019

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.804123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.189678Z digest=sha256:0ce060c8c4bb5e6d61c98b55114ccf3a2542fda1348b0f75e0bebc3bb15b2b02

Observation e6d0ab6f-5082-4e2d-a785-e4f24b783be5 · outbound

This paper cites Perturbation Analysis of Singular Semidefinite Programs and Its Applica- tions to Control Problems.Journal of Optimization Theory and Applications, 188:52–72, 2021.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Perturbation Analysis of Singular Semidefinite Programs and Its Applica- tions to Control Problems.Journal of Optimization Theory and Applications, 188:52–72, 2021

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.786259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.195769Z digest=sha256:776a6e1bfc4745a6b580f4b397b52ade4ff5efba809f77642818c2f63648895d

Observation 69866369-8374-4de4-ab8f-aa23b8823ed4 · outbound

This paper cites An Abstract Domain for Certifying Neural Networks.Proceedings of the ACM on Programming Languages, 3(POPL):1–30, 2019.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification An Abstract Domain for Certifying Neural Networks.Proceedings of the ACM on Programming Languages, 3(POPL):1–30, 2019

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.763559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.201176Z digest=sha256:3a3b94c2fcabd3f66cb722b72caffe7d435e93be61ac8c335c42aad8a5581f63

Observation 7f806c7a-7ed9-4751-8475-9ebb571273f1 · outbound

This paper cites SDPNAL+: A MATLAB Software for Semidefinite Programming With Bound Constraints (Version 1.0).Optimization Methods and Software, 35(1):87– 115, 2020.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification SDPNAL+: A MATLAB Software for Semidefinite Programming With Bound Constraints (Version 1.0).Optimization Methods and Software, 35(1):87– 115, 2020

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.739295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.207091Z digest=sha256:1eeef139181a62838fb58f0b77955e23f9b9e958573c9e7f9758aa26c7ef4afb

Observation bebeeade-e7f3-48a8-9d6a-332c9fd7a3b7 · outbound

This paper cites Intriguing Properties of Neural Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Intriguing Properties of Neural Networks

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.720651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.214780Z digest=sha256:ad8195855ede80aaf06d1fb65bc248c9bc07bd8152d988188f3069d6748b4b7f

Observation daa68dd5-2cc1-4f84-b4e2-40b133d3c69f · outbound

This paper cites Evaluating Robustness of Neural Networks with Mixed Integer Programming.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Evaluating Robustness of Neural Networks with Mixed Integer Programming

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T04:38:00.222117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:38:00.222117Z digest=sha256:d0008850453a41ec45e6466cce8f03ae181584fa6f4787e7b19cef165064ada2

Observation 8d74474e-6849-43d1-b860-0b4e905dcc41 · outbound

This paper cites Practical First-Order Methods for Large-Scale Semidefinite Programming.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Practical First-Order Methods for Large-Scale Semidefinite Programming

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.702933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.228631Z digest=sha256:2485fbecfde82b8243ecc72e34cf1f59634020e06e49e726f4b6457358c30d31

Observation abb6b4cd-6727-4786-95da-51ceead8cc43 · outbound

This paper cites Facial Reduction Algorithms for Conic Optimization Problems.Journal of Optimization Theory and Applications, 158:188–215, 2013.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Facial Reduction Algorithms for Conic Optimization Problems.Journal of Optimization Theory and Applications, 158:188–215, 2013

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.684453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.236685Z digest=sha256:526ee93727f165524dc018f839c796f79ed3c8ad485213b810b4a1e7728d3c46

Observation a56511a0-64c5-4a03-b37b-e3e262412d8e · outbound

This paper cites Efficient Formal Safety Analysis of Neural Networks.Advances in Neural Information Processing Systems, 31, 2018.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Efficient Formal Safety Analysis of Neural Networks.Advances in Neural Information Processing Systems, 31, 2018

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.667989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.242151Z digest=sha256:09ae7242e489f8d9459fd200ad82dc6797c469d523d097031833d96998c436ac

Observation c1a7724e-aa3a-4d1b-a44b-25f36d40093d · outbound

This paper cites Beta-CROWN: Efficient Bound Propagation With Per-Neuron Split Constraints for Neural Network Robustness Verification.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Beta-CROWN: Efficient Bound Propagation With Per-Neuron Split Constraints for Neural Network Robustness Verification

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.651601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.247423Z digest=sha256:8155db10df58793dd5d84cdc25eb8f52981a348c32c5f564604388efeb79b0bc

Observation 38a9f8b8-1e5f-44a8-9839-4da428399301 · outbound

This paper cites Towards Fast Computation of Certified Robustness for ReLU Networks.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Towards Fast Computation of Certified Robustness for ReLU Networks

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.636178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.252809Z digest=sha256:8ccf62debf22b039faab9d73fc4ce79aaed02eeb82afd188071d57c180f2c691

Observation bc37be23-195d-4d0a-894c-7fd31672b835 · outbound

This paper cites Provable Defenses Against Adversarial Examples via the Convex Outer Adversarial Polytope.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Provable Defenses Against Adversarial Examples via the Convex Outer Adversarial Polytope

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.619068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.257956Z digest=sha256:06e7650256f4b2d95067c749b0deccafddda611a84bf9af712c447d8e098a8c0

Observation 44446fd4-c8c0-4e6b-a896-34bcc00491bb · outbound

This paper cites Numerical Optimization, 2006.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Numerical Optimization, 2006

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.599369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.263277Z digest=sha256:3520d324aa6f8ffb0aeedc5a50d2ba6cdc2fa597fa76e0c4807d9997d5a0b42a

Observation ddb6873e-face-4d86-b577-30d337af9707 · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T04:38:00.267928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:38:00.267928Z digest=sha256:94705584776210590d69d08ae670e9495134a4b0a0b4e09aa56f19ff948bc04f

Observation 648ed773-874d-4e6c-9811-6d5ee88a4fe7 · outbound

This paper cites Fast and Com- plete: Enabling Complete Neural Network Verification With Rapid and Massively Parallel Incomplete Verifiers.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Fast and Com- plete: Enabling Complete Neural Network Verification With Rapid and Massively Parallel Incomplete Verifiers

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.580924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.272962Z digest=sha256:db4b80d4e6866979404c1a51ae47c36f47babbebf09318adba62d375d74acf7a

Observation 19e61ad7-dc06-461e-bc1a-9a7974ce323a · outbound

This paper cites Latest Developments in the SDPA Family for Solving Large-Scale SDPs.Handbook on Semidefinite, Conic and Polynomial Optimization, pages 687–713, 2012.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Latest Developments in the SDPA Family for Solving Large-Scale SDPs.Handbook on Semidefinite, Conic and Polynomial Optimization, pages 687–713, 2012

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.561946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.278289Z digest=sha256:c99c50ec429ae2c7abf8a0f934e85832126386b712ddc128192d4267717e00a4

Observation 648fa9d3-d246-4973-95d0-bf743b94fde4 · outbound

This paper cites A High-Performance Software Package for Semidefinite Programs: SDPA 7.Handbook on Semidefinite, Conic and Polynomial Optimization, 2010.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification A High-Performance Software Package for Semidefinite Programs: SDPA 7.Handbook on Semidefinite, Conic and Polynomial Optimization, 2010

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.540530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.283633Z digest=sha256:185408859d8882403f54afb499658d6ecee841212a895b047bba044baf00ca3e

Observation 5c618eda-7e14-40c1-8bdf-c1f59411fde4 · outbound

This paper cites ADADELTA: An Adaptive Learning Rate Method.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification ADADELTA: An Adaptive Learning Rate Method

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T04:38:00.290137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:38:00.290137Z digest=sha256:9145ee950405ff3ea54c4968a9a6b8723f4b893ffed4febca3f458735faec2a9

Observation 9bfe577f-c022-4008-8869-d1118f3500fe · outbound

This paper cites Scalable Neural Network Verification With Branch-and-Bound Inferred Cutting Planes.Advances in Neural Information Processing Systems, 2024.

Interior-Point Vanishing Problem in Semidefinite Relaxations for Neural Network Verification Scalable Neural Network Verification With Branch-and-Bound Inferred Cutting Planes.Advances in Neural Information Processing Systems, 2024

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:38:00.513620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T04:38:00.298103Z digest=sha256:f92e7b5f8583fa44e7f218e80b3cc87404b32454750b31fade5ba159e5340bc4

Pith citing papers

No inbound Pith citation observations are available.