Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces | Paper Citation Record

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This paper cites Big ray‐tracing and eikonal solver on unstructured grids: Application to the computation of a multivalued traveltime field in the Marmousi model.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Big ray‐tracing and eikonal solver on unstructured grids: Application to the computation of a multivalued traveltime field in the Marmousi model

Reference 1

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This paper cites Absil, R.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Absil, R

Reference 2

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This paper cites Joint Invariants of Symplectic and Contact Lie Algebra Actions.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Joint Invariants of Symplectic and Contact Lie Algebra Actions

Reference 3

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This paper cites Spatial Functa: Scaling Functa to ImageNet Classification and Generation.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Spatial Functa: Scaling Functa to ImageNet Classification and Generation

Reference 4

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This paper cites A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2).

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2)

Reference 5

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This paper cites Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation

Reference 6

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This paper cites A Galois theorem for machine learning: Functions on symmetric matrices and point clouds via lightweight invariant features.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A Galois theorem for machine learning: Functions on symmetric matrices and point clouds via lightweight invariant features

Reference 7

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This paper cites SE(3)-Equivariant Attention Networks for Shape Reconstruction in Function Space.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces SE(3)-Equivariant Attention Networks for Shape Reconstruction in Function Space

Reference 8

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This paper cites From Active Contours to Minimal Geodesic Paths: New Solutions to Active Contours Problems by Eikonal Equations.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces From Active Contours to Minimal Geodesic Paths: New Solutions to Active Contours Problems by Eikonal Equations

Reference 9

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This paper cites 3D Equivariant Graph Implicit Functions.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces 3D Equivariant Graph Implicit Functions

Reference 10

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This paper cites Meta-PINN: Meta learning for improved neural network wavefield solutions.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Meta-PINN: Meta learning for improved neural network wavefield solutions

Reference 11

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This paper cites A tutorial on SE (3) transformation parameterizations and on-manifold optimization.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A tutorial on SE (3) transformation parameterizations and on-manifold optimization

Reference 12

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This paper cites Openfwi: Large-scale multi-structural benchmark datasets for full waveform inversion.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Openfwi: Large-scale multi-structural benchmark datasets for full waveform inversion

Reference 13

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This paper cites SE (3) Equivariant Graph Neural Networks with Complete Local Frames.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces SE (3) Equivariant Graph Neural Networks with Complete Local Frames

Reference 14

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This paper cites From data to functa: Your data point is a function and you can treat it like one.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces From data to functa: Your data point is a function and you can treat it like one

Reference 15

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This paper cites Low Dimensional Invariant Embeddings for Universal Geometric Learning.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Low Dimensional Invariant Embeddings for Universal Geometric Learning

Reference 16

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This paper cites Equivariant Frames and the Impossibility of Continuous Canonicalization.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Equivariant Frames and the Impossibility of Continuous Canonicalization

Reference 17

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This paper cites Neural Eikonal solver: Improving accuracy of physics-informed neural networks for solving eikonal equation in case of caustics.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Neural Eikonal solver: Improving accuracy of physics-informed neural networks for solving eikonal equation in case of caustics

Reference 18

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This paper cites Learning 3D Equivariant Implicit Function with Patch - Level Pose - Invariant Representation.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Learning 3D Equivariant Implicit Function with Patch - Level Pose - Invariant Representation

Reference 19

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This paper cites LogGENE: A smooth alternative to check loss for Deep Healthcare Inference Tasks.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces LogGENE: A smooth alternative to check loss for Deep Healthcare Inference Tasks

Reference 20

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Observation 25a43167-faee-435b-be90-affdf3804788 · outbound

This paper cites Jones, J.A.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Jones, J.A

Reference 21

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This paper cites LIFT: Latent Implicit Functions for Task- and Data-Agnostic Encoding.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces LIFT: Latent Implicit Functions for Task- and Data-Agnostic Encoding

Reference 22

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This paper cites Computing distances and means on manifolds with a metric-constrained Eikonal approach.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Computing distances and means on manifolds with a metric-constrained Eikonal approach

Reference 23

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This paper cites Space-Time Continuous PDE Forecasting using Equivariant Neural Fields.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Space-Time Continuous PDE Forecasting using Equivariant Neural Fields

Reference 24

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Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Unresolved cited work

Reference 25

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This paper cites Trivializations for Gradient-Based Optimization on Manifolds.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Trivializations for Gradient-Based Optimization on Manifolds

Reference 26

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This paper cites Affine Equivariant Networks Based on Differential Invariants.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Affine Equivariant Networks Based on Differential Invariants

Reference 27

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This paper cites A Riemannian Take on Distance Fields and Geodesic Flows in Robotics , December 2024 b.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A Riemannian Take on Distance Fields and Geodesic Flows in Robotics , December 2024 b

Reference 28

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This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 29

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Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces ARC: Anchored Representation Clouds for High-Resolution INR Classification

Reference 30

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This paper cites Fully Convolutional Network - Enhanced DeepONet - Based Surrogate of Predicting the Travel - Time Fields.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Fully Convolutional Network - Enhanced DeepONet - Based Surrogate of Predicting the Travel - Time Fields

Reference 31

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This paper cites Hamiltonian fast marching: A numerical solver for anisotropic and non-holonomic eikonal pdes.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Hamiltonian fast marching: A numerical solver for anisotropic and non-holonomic eikonal pdes

Reference 32

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This paper cites NTFields: Neural Time Fields for Physics-Informed Robot Motion Planning.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces NTFields: Neural Time Fields for Physics-Informed Robot Motion Planning

Reference 33

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This paper cites Noack and Stuart Clark.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Noack and Stuart Clark

Reference 34

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Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Unresolved cited work

Reference 35

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Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Unresolved cited work

Reference 36

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Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Unresolved cited work

Reference 37

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This paper cites Deepsdf: Learning continuous signed distance functions for shape representation.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Deepsdf: Learning continuous signed distance functions for shape representation

Reference 38

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This paper cites HyperSAGE: Generalizing Inductive Representation Learning on Hypergraphs.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces HyperSAGE: Generalizing Inductive Representation Learning on Hypergraphs

Reference 39

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This paper cites Differential Invariants for SE (2)- Equivariant Networks.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Differential Invariants for SE (2)- Equivariant Networks

Reference 40

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This paper cites Moving frame net: SE (3)-equivariant network for volumes.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Moving frame net: SE (3)-equivariant network for volumes

Reference 41

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This paper cites Schuster and Aksel Quintus‐Bosz.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Schuster and Aksel Quintus‐Bosz

Reference 42

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Observation 7c0f13d2-c283-4f02-b699-565e91893907 · outbound

This paper cites A fast marching level set method for monotonically advancing fronts.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A fast marching level set method for monotonically advancing fronts

Reference 43

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Observation c7b3e324-6b9f-413b-9d05-5bb3273f818d · outbound

This paper cites Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups

Reference 44

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Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Implicit neural representations with periodic activation functions

Reference 45

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This paper cites Smith, Kamyar Azizzadenesheli, and Zachary E.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Smith, Kamyar Azizzadenesheli, and Zachary E

Reference 46

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This paper cites A micro Lie theory for state estimation in robotics.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A micro Lie theory for state estimation in robotics

Reference 47

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This paper cites Seismic Traveltime Simulation for Variable Velocity Models Using Physics - Informed Fourier Neural Operator.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Seismic Traveltime Simulation for Variable Velocity Models Using Physics - Informed Fourier Neural Operator

Reference 48

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This paper cites Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains

Reference 49

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Observation e3464b05-0c98-43fd-939b-dc476ee309b0 · outbound

This paper cites Learned initializations for optimizing coordinate-based neural representations.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Learned initializations for optimizing coordinate-based neural representations

Reference 50

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Observation 9b5a5e68-f8e1-4e0a-ba7f-624f72283164 · outbound

This paper cites A fast marching algorithm for the factored eikonal equation.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A fast marching algorithm for the factored eikonal equation

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:17:46.402837Z

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 76b7af16-c331-4993-a096-8b29f20428fb · outbound

This paper cites Scalars are universal: Equivariant machine learning, structured like classical physics.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Scalars are universal: Equivariant machine learning, structured like classical physics

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:17:46.116462Z

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 9d543e33-87b0-45c0-bc13-c64b160ab4d0 · outbound

This paper cites PINNeik : Eikonal solution using physics-informed neural networks.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces PINNeik : Eikonal solution using physics-informed neural networks

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:40.300695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 626cf6a7-1f35-4074-b331-9caa6d1f430d · outbound

This paper cites $\mathrm{SO}(2)$-Equivariant Reinforcement Learning.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces $\mathrm{SO}(2)$-Equivariant Reinforcement Learning

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:40.347663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 350b5cff-a793-4f28-a1f4-ed29f5dfa51d · outbound

This paper cites Equivariant Local Reference Frames for Unsupervised Non-rigid Point Cloud Shape Correspondence.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Equivariant Local Reference Frames for Unsupervised Non-rigid Point Cloud Shape Correspondence

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:17:41.584067Z

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 22de6cd0-4382-45c3-9086-8615ba8feb60 · outbound

This paper cites CViT: Continuous Vision Transformer for Operator Learning.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces CViT: Continuous Vision Transformer for Operator Learning

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:40.432762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b38b1fa-6682-42ce-9c7f-c190918ee358 · outbound

This paper cites Grounding Continuous Representations in Geometry: Equivariant Neural Fields.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Grounding Continuous Representations in Geometry: Equivariant Neural Fields

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:17:41.478164Z

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 01a847d5-0332-4345-833d-aa22fc63f88e · outbound

This paper cites The classical groups: their invariants and representations.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces The classical groups: their invariants and representations

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:17:45.951619Z

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 fe9c5198-15bf-4382-9447-faef2d9f629d · outbound

This paper cites Meta-world: A benchmark and evaluation for multi-task and meta reinforcement learning.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Meta-world: A benchmark and evaluation for multi-task and meta reinforcement learning

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:17:45.714807Z

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 529c7a76-90da-4db7-bd02-e4b0b0a885e7 · outbound

This paper cites A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:40.582067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ae55bd2-4c68-42a7-ac28-1ef1ab483a5d · outbound

This paper cites Rosen, and Sai-Kit Yeung.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Rosen, and Sai-Kit Yeung

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:40.623125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60de28a0-4f73-406e-b3b3-d352c5512932 · outbound

This paper cites A fast sweeping method for Eikonal equations.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces A fast sweeping method for Eikonal equations

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:40.663617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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