Paper Citation Record · LEDGER

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2412.02033.

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

pith.paper-citation-record.v1
2412.02033 v3

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:04:11.993058Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:10:32.575690Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:55:43.941640Z

Reference resolution

43 of 43 outbound references displayed

verified exact5
verified fuzzy26
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External citation measurements

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Outbound references

Observation 3d94d113-291a-4bef-b058-7931c9f36b6f · outbound

This paper cites A Classification-based Approach for Approximate Reachability.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games A Classification-based Approach for Approximate Reachability

Reference 1

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Observation b9e7343a-d1c8-42d6-bb0c-806201a02092 · outbound

This paper cites A general hamilton-jacobi framework for non-linear state-constrained control problems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games A general hamilton-jacobi framework for non-linear state-constrained control problems

Reference 2

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Observation 89d90ab6-f8d3-40e4-964c-3a68d54a3c38 · outbound

This paper cites Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization

Reference 3

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Observation 78d9514f-c011-4eee-a64f-b0c702584cf5 · outbound

This paper cites Bansal, M.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Bansal, M

Reference 4

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Observation f7de40d2-73a2-4002-b205-8f7352b323b8 · outbound

This paper cites DeepReach : A deep learning approach to high-dimensional reachability.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games DeepReach : A deep learning approach to high-dimensional reachability

Reference 5

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Observation 1d34acbd-e11d-4a43-af7a-851755fecca1 · outbound

This paper cites Elementary differential equations and boundary value problems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Elementary differential equations and boundary value problems

Reference 6

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This paper cites Exact and Efficient Hamilton-Jacobi Reachability for Decoupled Systems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Exact and Efficient Hamilton-Jacobi Reachability for Decoupled Systems

Reference 7

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This paper cites Safe Platooning of Unmanned Aerial Vehicles via Reachability.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Safe Platooning of Unmanned Aerial Vehicles via Reachability

Reference 8

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This paper cites Decomposition of reachable sets and tubes for a class of nonlinear systems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Decomposition of reachable sets and tubes for a class of nonlinear systems

Reference 9

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Observation 35b8ac50-8ecd-4083-8c1c-be31b586f517 · outbound

This paper cites Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton--Jacobi equations arising from optimal control and differential games problems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton--Jacobi equations arising from optimal control and differential games problems

Reference 10

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Observation d459bb11-6172-4145-85da-2d03d441e8ed · outbound

This paper cites Algorithms for overcoming the curse of dimensionality for certain Hamilton--Jacobi equations arising in control theory and elsewhere.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Algorithms for overcoming the curse of dimensionality for certain Hamilton--Jacobi equations arising in control theory and elsewhere

Reference 11

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Observation ee98cf39-30ab-4cf4-930d-7dd985b88148 · outbound

This paper cites Overcoming the curse of dimensionality for some hamilton--jacobi partial differential equations via neural network architectures.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Overcoming the curse of dimensionality for some hamilton--jacobi partial differential equations via neural network architectures

Reference 12

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Observation 4c379201-a7e9-4f14-bfb7-e04b48e71e5f · outbound

This paper cites Neural approximation of pde solutions: An application to reachability computations.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Neural approximation of pde solutions: An application to reachability computations

Reference 13

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Observation 18771c91-7fab-4c20-8a34-4cb03322f122 · outbound

This paper cites Finite-difference least square methods for solving hamilton-jacobi equations using neural networks, 2024.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Finite-difference least square methods for solving hamilton-jacobi equations using neural networks, 2024

Reference 14

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Observation bafee029-68a0-4ebd-b67d-8646b3137f17 · outbound

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Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Unresolved cited work

Reference 15

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Observation 5a1a31f7-4f88-411a-bbce-27d48084b206 · outbound

This paper cites Differential games and representation formulas for solutions of Hamilton-Jacobi -isaacs equations.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Differential games and representation formulas for solutions of Hamilton-Jacobi -isaacs equations

Reference 16

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Observation 42af60b7-5c6f-42c0-a669-a96b471948ca · outbound

This paper cites Evans and Panagiotis E.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Evans and Panagiotis E

Reference 17

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Observation 4b512da5-2b7b-4d4c-a258-d8c3ec59edfa · outbound

This paper cites Bridging hamilton-jacobi safety analysis and reinforcement learning.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Bridging hamilton-jacobi safety analysis and reinforcement learning

Reference 18

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Observation 5b5ab726-bd50-498b-9021-f8426bce53da · outbound

This paper cites Hamilton-jacobi reachability in reinforcement learning: A survey.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Hamilton-jacobi reachability in reinforcement learning: A survey

Reference 19

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Observation 95b6c9c2-b869-4ffe-9935-5cdea8773dc4 · outbound

This paper cites Robust control lyapunov-value functions for nonlinear disturbed systems, 2024.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Robust control lyapunov-value functions for nonlinear disturbed systems, 2024

Reference 20

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This paper cites Solving high-dimensional partial differential equations using deep learning.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Solving high-dimensional partial differential equations using deep learning

Reference 21

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This paper cites Efficient and guaranteed hamilton-jacobi reachability via self-contained subsystem decomposition and admissible control sets.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Efficient and guaranteed hamilton-jacobi reachability via self-contained subsystem decomposition and admissible control sets

Reference 22

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Observation 8b50bfcb-f4d1-4027-abe1-cfc7c9f0642a · outbound

This paper cites A differential game approach to planning in adversarial scenarios: A case study on capture-the-flag.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games A differential game approach to planning in adversarial scenarios: A case study on capture-the-flag

Reference 23

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Observation 8f58d72c-8aed-4403-874b-3f4eca66ab94 · outbound

This paper cites Robots that Suggest Safe Alternatives.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Robots that Suggest Safe Alternatives

Reference 24

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This paper cites Kirchner, Robert Mar, Gary Hewer, Jerome Darbon, Stanley Osher, and Y.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Kirchner, Robert Mar, Gary Hewer, Jerome Darbon, Stanley Osher, and Y

Reference 25

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Observation 1c6286ac-8f1e-4df1-a6ce-6956e2e0aaf7 · outbound

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Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Constrained polynomial zonotopes

Reference 26

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This paper cites Bridging the Gap Between Safety and Real-Time Performance in Receding-Horizon Trajectory Design for Mobile Robots.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Bridging the Gap Between Safety and Real-Time Performance in Receding-Horizon Trajectory Design for Mobile Robots

Reference 27

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This paper cites Dynamics and control of trajectory tubes.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Dynamics and control of trajectory tubes

Reference 28

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This paper cites Iterative method using the generalized Hopf formula: Avoiding spatial discretization for computing solutions of Hamilton-Jacobi equations for nonlinear systems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Iterative method using the generalized Hopf formula: Avoiding spatial discretization for computing solutions of Hamilton-Jacobi equations for nonlinear systems

Reference 29

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Observation c22b3f8f-076b-4072-92f0-c5ab3b6ed76a · outbound

This paper cites Verification of Neural Reachable Tubes via Scenario Optimization and Conformal Prediction.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Verification of Neural Reachable Tubes via Scenario Optimization and Conformal Prediction

Reference 30

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Observation f619b88f-19d1-46f5-8bae-049fb9f17b5f · outbound

This paper cites Loss landscapes and optimization in over-parameterized non-linear systems and neural networks.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Loss landscapes and optimization in over-parameterized non-linear systems and neural networks

Reference 31

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This paper cites A Hamilton-Jacobi-Bellman Approach to Ellipsoidal Approximations of Reachable Sets for Linear Time-Varying Systems.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games A Hamilton-Jacobi-Bellman Approach to Ellipsoidal Approximations of Reachable Sets for Linear Time-Varying Systems

Reference 32

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Observation 118330c6-8960-4938-b246-6373ec9a422d · outbound

This paper cites Majumdar and R.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Majumdar and R

Reference 33

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This paper cites A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games

Reference 34

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Observation 59d84023-a893-4862-b85b-1307e6a053bb · outbound

This paper cites Mitchell, A.M.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Mitchell, A.M

Reference 35

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Observation e875da59-fec4-4250-8537-68d04b037dd3 · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 36

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Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Generalized Hopf formulas for the nonautonomous Hamilton-Jacobi equation

Reference 37

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Observation 04e724b8-2181-4efb-978c-26b3017608d0 · outbound

This paper cites Conservative linear envelopes for high-dimensional, Hamilton-Jacobi reachability for nonlinear systems via the Hopf formula, 2024 a.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Conservative linear envelopes for high-dimensional, Hamilton-Jacobi reachability for nonlinear systems via the Hopf formula, 2024 a

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:04:57.538748Z

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Observation d1b15eba-cd19-4025-9ba2-ae8be87e5f85 · outbound

This paper cites State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:04:12.084828Z

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Observation 2aaea315-8b43-4266-bcb4-419f81cb1d34 · outbound

This paper cites Koopman-Hopf Hamilton-Jacobi Reachability and Control.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Koopman-Hopf Hamilton-Jacobi Reachability and Control

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:04:12.060500Z

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Observation 4e6f65c0-1f32-4401-a3eb-b6e3ba62172d · outbound

This paper cites Implicit neural representations with periodic activation functions.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Implicit neural representations with periodic activation functions

Reference 41

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Observation 55f3b2aa-8600-4351-9361-749051ce55e8 · outbound

This paper cites Global convergence of admm in nonconvex nonsmooth optimization.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Global convergence of admm in nonconvex nonsmooth optimization

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:04:57.500742Z

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Observation fc1984f4-fe8e-43e2-a6c3-e6955fb1241e · outbound

This paper cites Efficient backward reachability using the minkowski difference of constrained zonotopes.

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games Efficient backward reachability using the minkowski difference of constrained zonotopes

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-12T00:04:11.993058Z

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Pith citing papers

Observation 5309f956-7b21-40f5-8e71-af0c410ce2e9 · inbound

Bridging Model Predictive Control and Deep Learning for Scalable Reachability Analysis cites this paper.

Bridging Model Predictive Control and Deep Learning for Scalable Reachability Analysis Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games

Reference 33

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Observation 284480f2-6edd-4a49-8378-7240b48ed720 · inbound

Reachability Barrier Networks: Learning Hamilton-Jacobi Solutions for Smooth and Flexible Control Barrier Functions cites this paper.

Reachability Barrier Networks: Learning Hamilton-Jacobi Solutions for Smooth and Flexible Control Barrier Functions Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:55:43.947072Z

Source-reported events for the cited work

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