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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 2026-08-07T06:34:17.273281+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
  • malformed identifier0
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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 2026-08-07T06:34:17.273281+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.938436Z digest=sha256:b4e3b2dfa9f1fa93f40f67c6ee93e7bca0d0d89724750f1293d2839e2f92a22d

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: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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.949187Z digest=sha256:dccd86eb117d9abb7bf2ae17deb144d0a6b00eecef82dfd392839add29b0f88b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.954248Z digest=sha256:349542b05cdf29ef5cb2bb2dd4faf0300abef741cd37df1148f0563e70eeb875

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

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.959663Z digest=sha256:bf7fa43e87925d5e33c265cb976eac0121da875337e356e5d713e26785bfbc0f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.966053Z digest=sha256:f6a5cf0fadd6f631d4233390bcc5e52c8e3ea1b5a35a33028e6d2a77b21d000f

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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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.978342Z digest=sha256:1993f5f262d1559bafc97eccaba806dfa24214f0129b270422a8356cac944a60

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:37:59.985076Z digest=sha256:58988b8f583909328d0ce2023850423ee764c69e52bf57de3bcf7dbb057d3f21

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=pdf_text observed=2026-08-07T04:37:59.990285Z digest=sha256:9be840eab7cb9512adb801be1cf7ac755144c1e038cb0388018715054a604e70

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

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source=pdf_text observed=2026-08-07T04:37:59.995525Z digest=sha256:d62aeda7b870ebf56c526e6b988e8e107c5485d10b359ada503a3bca08c8cc1c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.000798Z digest=sha256:f9b98ea3410887d5f69ede4727fe64bc50f98bbb4169a5e5ca82d267365b095c

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=sha256:6fd3b1e744500fbec0c27358f8d3b6fe4f9112baa747c7da522f5e2a0f90a608

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.020969Z digest=sha256:75282b7cedc584d211336395b754543ab87ba9e2d00f534b1a4c47eede1c20b2

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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source=pdf_text observed=2026-08-07T04:38:00.033637Z digest=sha256:545c5c490dc9eb73de814ad283b309430c2ef5b741c1b2f7a7d373a5f152007e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.039861Z digest=sha256:ef1b847997c4b23b6cbfdcfeed32e4145bcc4fc7a9544490e7c93738c67a8c38

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.058325Z digest=sha256:67f1410fc66b2acc212b4517d7bb353a0c7976960f47193aa5c6a7c9eb7c7053

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=sha256:1a2e5cf1dc846fb598906e82a32b608baf327f1ad8e960fd7f056498eab73486

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.073274Z digest=sha256:c65e822fb11ccd9810c57064c668cffbde74f6c6931d85babc71e40412527c30

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.082987Z digest=sha256:0dc619b54d84c8f28587bacfc716ddefaf49d5d959afa2870d4a57320ca83ee1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.095131Z digest=sha256:1075253b1a0e4dc076a316f5b8b057d641c3b6a11b0a851f170917c6466e8fec

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.102814Z digest=sha256:364f6bc15dad1162d6e4fe2df84ef13dd72df0e683354e2731f6dac09169afab

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.109065Z digest=sha256:94236edf0c53ff5497cfa6dafaf2ba9d7ab1063b685927d08a8cfe1ab0a4b223

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.117594Z digest=sha256:e019f98655903f6e04e61956976e3b0e46e500f05f0f6cb64d22f92421545815

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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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.126179Z digest=sha256:4759c54e2c7995f15bfeb104832c27cb1c65f60c0bd32a78f2bb79c04d3449d2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.130875Z digest=sha256:4fff65b7cea7b996affd3ae75fdf8754f6e68eee38c149e16829b1590604503e

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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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.136504Z digest=sha256:bab75e1315a407e7724669cfa3e154d7d94d4b029fad6fcac345c9d5809dd12b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.152073Z digest=sha256:fe190d2bdf8cdc7b8d9444aceb4acf6dcf7fe4c23b271fe00f5bf2df7d91e6ea

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.158667Z digest=sha256:ad9959540952fcfc40cffff198fa3377e4d0dfa7a32c2c01ab1ef9ac49424c8c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.165272Z digest=sha256:7ecb13aa5271c5cd67611602cc4559326f5da0716d69d43e60291683f4a0579c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.171250Z digest=sha256:f390bfa65dcbd36f8b10276826441d385ef301b0a866a37531ab8367dc107d69

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.177214Z digest=sha256:dd9582c7f2e1994f188746eab07b0b31c3a9971ff44ac5b123bc59088f0cc6bb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.184892Z digest=sha256:f0d455dc9e3fdc417c15c3b7a7bd74271a12eb7c02c57e61f0d40732a1562a49

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.189678Z digest=sha256:8ad0802313d65e5cbac9909ba45d10d3ecd387d57b66800ea41e650f71250bd9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.195769Z digest=sha256:147c8ad237963fed7ae88dbd9c682f38cc55703579830d799ecc1898c6c42147

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.201176Z digest=sha256:1cb38e8ec116fe8d584fb92e501264a3034ee468bdb5ab1d79da6e26dd391857

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.207091Z digest=sha256:b61e31e8ec7ff8da7a031a59c9ecb8a2194b968f99ceb39d0a1fe24b6fd82882

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.214780Z digest=sha256:4868230cbdea3c0253476b51b4aca4ece8e79d0cd3a0367184de8c3beab57552

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.228631Z digest=sha256:7f90f055e50168bc650976ff579ab7cbdeaf132c835eb08f56403fda19544262

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.236685Z digest=sha256:1087e507fe13e82cb71f61328ead601491b60bbb55cff72830b651ce4b903c5e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.242151Z digest=sha256:04f54813019a85e7ade57a52d53467c699ad09ee40b77e9c1a8915fa2e281020

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.247423Z digest=sha256:138a11b63e437c2fd8ab603abdcc2e9b8df1ba21149f9bf6e0c0b919de9bf3e1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.252809Z digest=sha256:9aafc6662283fd2a60adc7f1fb6b3e6df6f6e71a0fc63f9688662419fed02d17

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.257956Z digest=sha256:8851be40e3083dad642a4f86e868dd75bdf3c94b208e3b46ada40300b06ebe22

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.263277Z digest=sha256:98304550de5b2ea336ead61171c7855b1fedc59fdc41940e2bad3fe68e317402

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.272962Z digest=sha256:d752968bb613d9447ca0411b1045c9e02080cd5434574bdca6451c42d6d286cc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.278289Z digest=sha256:36d729d84498309c73e29f75cf00b083c627a6a88022d98d011050a8c2977a2d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.283633Z digest=sha256:0629f66830f6ef269047e2c69d4365062ae1341bd393e79e6a3deda463d7dba9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T04:38:00.298103Z digest=sha256:9a87f40d7b55eb1e6b6813e6592e090cbae07436e5c0ea025bd59bc4d7fdad4b

Pith citing papers

No inbound Pith citation observations are available.