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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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

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  • verified fuzzy46
  • unresolved8
  • parse uncertain0
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External citation measurements

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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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:37:59.938436Z digest=sha256:a82bda9cd18ceca19b3a27cb15fcbd15c23b1d8fc3c65cfc325a0ad68c9a80af

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:37:59.943361Z digest=sha256:bdc814e8f971d0a5e29e0a5d57b20f5eb9269a0d2678d1c5f950ad4c87798a32

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:37:59.949187Z digest=sha256:1ffa6dd7b22cc3207e2d5f47af9bfc9a6ca515fdc15f80b3bdd88089c515f1f9

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:37:59.954248Z digest=sha256:5564f7f75ff78a2555ae815bd42fdc7c410d993e9aa5afffb3172a8b45b936fc

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

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T04:37:59.959663Z digest=sha256:e36e7259c1779f0780cd1ebd770b3b9948299f11f3647c682d23cfd829520deb

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:37:59.966053Z digest=sha256:198d6f89bbfe9f088e903a69d8df6ea8effa0b0a1b9408735f276fdff385013b

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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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:a9d55f720410053431b10b51b63ba0e7cf53b6a9f69886f61baa6ec551da2d93

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:37:59.978342Z digest=sha256:fb336da194dc16921aa168ed014913083da8dca14fff6f67ffacdad42ea709c5

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:37:59.985076Z digest=sha256:a9699267ca168feb505a4d0dfcdac1bd306d2426452e889c4adaa16a907ed49b

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

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source=pdf_text observed=2026-08-07T04:37:59.990285Z digest=sha256:133fd2a02dc0b0c0da8f2ba3f4967325946753dea15508d870f6a1f0e91c2b70

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=pdf_text observed=2026-08-07T04:37:59.995525Z digest=sha256:5f103408362f55da42c28d7a381a46abbfdfd7779ad32321b77016ba3d88491c

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.000798Z digest=sha256:068515776f7593d5c6119065c0afd4493e589e8746e76a2a94603ae1ac133257

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=pdf_text observed=2026-08-07T04:38:00.013142Z digest=sha256:859a31f7ab18b9c53086c0b75226b5dfbd832aee9617ef89313575f78d54e33a

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.020969Z digest=sha256:37367aaac30329f100c7f637594ce1330a10fa681fda3acd9f54becfff407fe5

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.033637Z digest=sha256:6a0bba0e37628a9cdf24da69aa2aa71fbf309ad6fb364c998a3fe5af9ac17953

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.039861Z digest=sha256:e840d594c7aab3ce9a6b07c4b96dede58bff56dee8bbab4b3e2c3e8c46ea1862

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=sha256:24fb1cf228d3bec1815fc47caf23b56df2aa7024d46e05e2e0f5d37fb26ff8c7

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.058325Z digest=sha256:f28256904b50f45f9aaa48492c1886748d178e6c5be6fff9634bac355510a70f

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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source=pdf_text observed=2026-08-07T04:38:00.066780Z digest=sha256:e8382942ba60aa0a2208e06fa40189244c362999d4a799a1aeba858645774603

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.073274Z digest=sha256:909e834b20e378cd6a14fd19f42d11b5686c9797945e9c18e5407e0532e39641

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.082987Z digest=sha256:0af0a701514351d51690dae1c85b43adf63e34c40235773f6d8a16ae9cb48ddf

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.095131Z digest=sha256:48c7f4e9270a91948471ee19ceb3bfd2b9c474ba70a6411fe2cccff8ed8a166a

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.102814Z digest=sha256:455cdde93d97fe8cdbff0c0bb77d5a0b6e3d7a403972b38183cec09dd90636fe

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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.109065Z digest=sha256:ae3187fae85bce710676ee96cd974b77e1b20f3a104016301485f9f118b6ec19

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.117594Z digest=sha256:d1fe6abb2dd86e9f9524a84f544511ffc2e829a985b6ea84bc97a88aeffc4d8a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.126179Z digest=sha256:89981d6bbdc9d2c02bd48bc0eeb3d42fbb0e835c874a8378d2d7ea25317855a8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.130875Z digest=sha256:dc02af777d298e4ab1e5acde17b89359898d3b274b71b01fd8334519a6deac01

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.136504Z digest=sha256:4bf4f1429225db413730072ae3604688b751069f8c64638428840f419fac538f

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:b9b5ac6492c94ad9dd6fb81e35dfeca46945b2030bc199199a8eb0f79ab4942e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.152073Z digest=sha256:dfd87446698fb7d25ac109c18c9d69bfcb2d5a55902d2cda15c11873f2bd863d

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.158667Z digest=sha256:85b516925940374463249dc4491bcaf7cce1bb1f3c0b5bbc6a65677fc7b78b57

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.165272Z digest=sha256:3ffa20788b2c85f459e63ffa802ce4c4215d793f31ee0a509642e913ee1ea79a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.171250Z digest=sha256:57d32959146c8b5ffef6142b82262cddbaf4ca94e6e459e8553bd3e59918817a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.177214Z digest=sha256:f3f813b6f697f8a6e4eb19f44bb9196611169dfbf061f6ebfe820a5ef85aa635

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.184892Z digest=sha256:5c4abbaa3afb2a69c60f86b570bcdc519d5502f290891691997f2c99dc8ea502

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.189678Z digest=sha256:d6e5a92e2b55b2694c6a0bc25b3e32533080984cfe6bb1699b58a155e13b4e45

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.195769Z digest=sha256:9f8fc77a70f13849abcd5cf95b094bbc570ce953c038624e9a116a88d16dcf69

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.201176Z digest=sha256:31b7c99e40f6792527c7b3f24e8a50e642072f6f70f70b88c45af1ccc7606f78

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.207091Z digest=sha256:798a6506b387fb7f436f21db57f771aa301b360fc33ab34a5c7055c0f505bbcb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.214780Z digest=sha256:4b17255accb172574ef724e32382eb44c8b9ee26754b3bc9ae05ba31e414247e

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:a11478e848c73447cbf7ecc6c5853951ef839e9f1877749f9aae53d5353e086f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.228631Z digest=sha256:c1b08db5db7892faa1cd7232b3b2eafff545eb4bc1b7ff6e09c6a1c22ca3edad

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.236685Z digest=sha256:53e22d4209b2a0db267ab3648e22599e3e429f0f3c62031c4b884138c755d9dd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.242151Z digest=sha256:01b382925d5bff1bfb66335546c43cbb6b0f352e1aa7f2142fc96d30bfaf63de

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.247423Z digest=sha256:5e211e7eb32ca34e294f6df6d928515f2fd32b9ab3e8dfeb65ae913d10f7e812

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.252809Z digest=sha256:2fc383745e066b4097f14a61d9d0a564b32b08bf0d840b39dcdc50bf713ed353

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.257956Z digest=sha256:d46fb68cf66c3ea9b0ff420b3d24712fc7893194e9a4feacfa26c91d3357ad8a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.263277Z digest=sha256:8260c2ac0932cffe8d40ffa8d58fef5a739b8694632cb7dd21ebf2e8622e9ebc

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=sha256:45752aee5b7e0053762f8f6311f6f5ee07b9a09c1c12b9f483a1a025cd0cb9e5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.272962Z digest=sha256:8cc237449e23d412f4644e33ecd3af5bf7aef9d9b06a57d5d05d05aed1b812d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.278289Z digest=sha256:425678a98bf5643c152eff8a3ee92b230d0b11485442bddf3db60216f18ea052

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.283633Z digest=sha256:527e864b8a088a1f00efb63110d1e84e533ed41499ba5b8311f8880402a2330e

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=sha256:866e8c2bbfd8d3a4fa71d21ec81b780ce7146fe2aa91fb79cc6b5a2f62cdfe81

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:38:00.298103Z digest=sha256:f52d0878121bc47005290743cc1711ac51d1875ea3fe465bd7036eeee26bf2a4

Pith citing papers

No inbound Pith citation observations are available.