Paper Citation Record · LEDGER

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection

As of 9 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.10682.

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

pith.paper-citation-record.v1
2606.10682 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T13:39:14.600755Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

26 of 26 outbound references displayed

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verified fuzzy0
unresolved23
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External citation measurements

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Outbound references

Observation 30a91906-b43b-4955-88e3-487642903623 · outbound

This paper cites Overview of surrogate modeling in chemical process engineering.Chemie Ingenieur T echnik, 91(3):228–239, 2019.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Overview of surrogate modeling in chemical process engineering.Chemie Ingenieur T echnik, 91(3):228–239, 2019

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Unavailable: canonical work link unavailable.

Observation b261dca6-50e1-416f-8558-f09ea52bc8c7 · outbound

This paper cites Formulating data-driven surrogate models for process opti- mization.Computers & Chemical Engineering, 179:108411, 2023.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Formulating data-driven surrogate models for process opti- mization.Computers & Chemical Engineering, 179:108411, 2023

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 091c3a6e-f5ff-4c50-bde3-c9d1a82cf0f7 · outbound

This paper cites Advances in surrogate based modeling, feasibility analysis, and optimization: A review.Computers & Chemical Engineering, 108:250–267, 2018.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Advances in surrogate based modeling, feasibility analysis, and optimization: A review.Computers & Chemical Engineering, 108:250–267, 2018

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation f4d63fca-5666-4370-91d5-0c926a8dcb8d · outbound

This paper cites Perspectives on the integration between first-principles and data-driven modeling.Computers & Chemical Engineering, 166:107898, 2022.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Perspectives on the integration between first-principles and data-driven modeling.Computers & Chemical Engineering, 166:107898, 2022

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 729becbc-bb0a-4df7-8097-639641da2c19 · outbound

This paper cites Selection of surrogate modeling techniques for surface approximation and surrogate-based optimization.Chemical Engineering Research and Design, 170:76–89, 2021.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Selection of surrogate modeling techniques for surface approximation and surrogate-based optimization.Chemical Engineering Research and Design, 170:76–89, 2021

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 710ab06b-8979-4028-8d02-7e00eaa1689d · outbound

This paper cites Physics-informed neural networks with hard linear equality constraints.Computers & Chemical Engineering, 189:108764, 2024.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Physics-informed neural networks with hard linear equality constraints.Computers & Chemical Engineering, 189:108764, 2024

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation bf0e68ae-cc6e-4d65-9b0a-5e75ad5c9a66 · outbound

This paper cites Integration of planning, scheduling and control prob- lems using data-driven feasibility analysis and surrogate models.Computers & Chemical Engi- neering, 134:106714, 2020.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Integration of planning, scheduling and control prob- lems using data-driven feasibility analysis and surrogate models.Computers & Chemical Engi- neering, 134:106714, 2020

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 57d19760-f6ee-4623-adfc-22aadf3568a3 · outbound

This paper cites Surrogate modeling and surrogate- based optimization with stochastic simulations.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Surrogate modeling and surrogate- based optimization with stochastic simulations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation d00ec397-6d09-40ad-8d3c-6d1fce06a72d · outbound

This paper cites Approximation by superpositions of a sigmoidal function.Mathematics of control, signals and systems, 2(4):303–314, 1989.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Approximation by superpositions of a sigmoidal function.Mathematics of control, signals and systems, 2(4):303–314, 1989

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

Source-reported events for the cited work

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Observation 3f6d584b-d916-4b7f-bdc0-8e513ecdc38e · outbound

This paper cites Multilayer feedforward networks are universal approximators.Neural networks, 2(5):359–366, 1989.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Multilayer feedforward networks are universal approximators.Neural networks, 2(5):359–366, 1989

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation a3304386-6704-4dce-8c9b-5337d23a01d3 · outbound

This paper cites Surrogate-based optimization for mixed-integer nonlinear problems.Computers & Chemical Engineering, 140:106847, 2020.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Surrogate-based optimization for mixed-integer nonlinear problems.Computers & Chemical Engineering, 140:106847, 2020

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 6630ec5c-677e-40a5-bf46-654600ce3488 · outbound

This paper cites Physics-constrained machine learning for chemical engineering.Current Opinion in Chemical Engineering, 51:101228, 2026.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Physics-constrained machine learning for chemical engineering.Current Opinion in Chemical Engineering, 51:101228, 2026

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 387caeab-ba57-4aeb-8950-8f36fc18511d · outbound

This paper cites an unresolved cited work.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 9a70ab7d-a111-4e0a-983b-45895d59efeb · outbound

This paper cites Data-driven strategies for optimization of integrated chemical plants.Computers & Chemical Engineering, 166:107961, 2022.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Data-driven strategies for optimization of integrated chemical plants.Computers & Chemical Engineering, 166:107961, 2022

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation b4f15f26-afe9-4cda-8446-f345cfe82daf · outbound

This paper cites Enforcing analytic constraints in neural networks emulating physical systems.Physical review letters, 126(9):098302, 2021.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Enforcing analytic constraints in neural networks emulating physical systems.Physical review letters, 126(9):098302, 2021

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

Source-reported events for the cited work

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Observation bb1a457d-68f9-4408-adb9-f8bcd416b976 · outbound

This paper cites Optnet: Differentiable optimization as a layer in neural net- works.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Optnet: Differentiable optimization as a layer in neural net- works

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 46705d2f-da93-42bb-a0e6-1f217a569051 · outbound

This paper cites Differentiable convex optimization layers.Advances in neural information processing sys- tems, 32, 2019.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Differentiable convex optimization layers.Advances in neural information processing sys- tems, 32, 2019

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation f00ac56d-9742-4aaa-946b-8dad412d586b · outbound

This paper cites Min and N.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Min and N

Reference 18

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T04:47:38.299324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation edb856de-9773-44ea-a999-951cb7a8045f · outbound

This paper cites an unresolved cited work.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation a47ef764-a7a1-46f4-a5a9-9117bcfe4131 · outbound

This paper cites Picard-KKT-hPINN: Enforcing Nonlinear Enthalpy Balances for Physically Consistent Neural Networks.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Picard-KKT-hPINN: Enforcing Nonlinear Enthalpy Balances for Physically Consistent Neural Networks

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-03T04:47:38.302067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 32f5ce7b-328d-42ba-b3e2-451a8bb50adc · outbound

This paper cites ENFORCE: Nonlinear Constrained Learning with Adaptive-depth Neural Projection.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection ENFORCE: Nonlinear Constrained Learning with Adaptive-depth Neural Projection

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-03T04:47:38.304479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2c323fe9-bf0c-437a-8e53-53e9c0b4fa1b · outbound

This paper cites Physics-informed neural networks with hard nonlinear equality and inequality constraints.Computers & Chemical Engineering, page 109418, 2025.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Physics-informed neural networks with hard nonlinear equality and inequality constraints.Computers & Chemical Engineering, page 109418, 2025

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation b072edc7-bab5-4def-9b11-7f7eba33cc95 · outbound

This paper cites Linear model decision trees as surrogates in optimization of engineering applications.Computers & Chemical Engineering, 178:108347, 2023.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Linear model decision trees as surrogates in optimization of engineering applications.Computers & Chemical Engineering, 178:108347, 2023

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 24d521f9-3746-49a6-9d61-09938082b9c0 · outbound

This paper cites Piecewise-linear approximations of multidimensional func- tions.Journal of optimization theory and applications, 145(1):120–147, 2010.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Piecewise-linear approximations of multidimensional func- tions.Journal of optimization theory and applications, 145(1):120–147, 2010

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation bfdae3f6-78f6-4827-af1c-0adcdfcf73a7 · outbound

This paper cites Sensitivity analysis of composite piecewise smooth equations.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Sensitivity analysis of composite piecewise smooth equations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Observation 0b1cc915-1d7d-4b67-9085-c277d651d3a5 · outbound

This paper cites Zavala.Statistics for Chemical Engineers.

PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection Zavala.Statistics for Chemical Engineers

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T13:39:14.600755Z

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Pith citing papers

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