Pith. sign in

Paper Citation Record · LEDGER

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks

As of 19 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2505.07311.

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

pith.paper-citation-record.v1
2505.07311 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:34:57.495288Z

measured 51 of 51 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:44:53.815862Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:44:53.963226Z

Reference resolution

50 of 50 outbound references displayed

  • verified exact2
  • verified fuzzy29
  • unresolved17
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5339a5f5-c814-41fe-a8a9-403dc4b103f9 · outbound

This paper cites Physical activation functions (PAFs): An ap- proachformoreefficientinductionofphysicsintophysics-informedneuralnetworks(PINNs).

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Physical activation functions (PAFs): An ap- proachformoreefficientinductionofphysicsintophysics-informedneuralnetworks(PINNs)

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.297349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.297349Z digest=sha256:1b6c638f8edb683210ab52f9ad5c6a28f50de0b97516266403be3fc2dcbe4035

Observation c8e63649-16d0-4be6-92ff-af23105cc950 · outbound

This paper cites A novel framework for policy mirror descent with general parameterization and linear convergence.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks A novel framework for policy mirror descent with general parameterization and linear convergence

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.439508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.302572Z digest=sha256:6ca1c5636e0579a76f5fe2bccef5efa08edb52f54da6d09e09688a3cdb1f3cde

Observation 31b9435d-3692-4f76-b601-ac6347b9721f · outbound

This paper cites Fine-grained analysis of optimization and generalization for overpa- rameterized two-layer neural networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Fine-grained analysis of optimization and generalization for overpa- rameterized two-layer neural networks

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.422865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.306745Z digest=sha256:f56687f354e017a5dc98703e2cf21a09f207301b583b54a86952ef15ba78ca62

Observation cb9d0edc-5de7-42c2-9036-09b9586d0c3a · outbound

This paper cites Learning theory from first principles.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Learning theory from first principles

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.311532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.311532Z digest=sha256:1a1dc98ed0cd3470c80cca97f2a0931d2ba9f5772ab95fabde358abff20cf28b

Observation 0c9faade-cd01-444a-b805-266764845efc · outbound

This paper cites Rademacher and Gaussian Complexities: Risk Bounds and Structural Results.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Rademacher and Gaussian Complexities: Risk Bounds and Structural Results

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.315648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.315648Z digest=sha256:75dd832e19f7c9c6f7f959e151bc809726b2e2033d0bbf219ec47db70c63c610

Observation b6ca3c0b-e682-41f6-8c57-99afdb7b83ca · outbound

This paper cites Three ways to solve partial differential equations with neural networks—A review.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Three ways to solve partial differential equations with neural networks—A review

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.395698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.319966Z digest=sha256:96b064e865cdb865bd1fc43c7cf1c5dbcfa385d50983051b0bd9c82ada019cee

Observation 81d44f6b-30af-47df-ac2e-68094338c92b · outbound

This paper cites Finite element methods of least-squares type.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Finite element methods of least-squares type

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.379935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.324325Z digest=sha256:1d9b719e3029eae1352083fa1d4d49ed79546cc6859d347179107bf6e0eeb9f6

Observation 8e815b1a-d62e-4f30-9e78-75d26e53747e · outbound

This paper cites The Challenges of the Nonlinear Regime for Physics-Informed Neural Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks The Challenges of the Nonlinear Regime for Physics-Informed Neural Networks

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.363201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.328410Z digest=sha256:b4164262efc208c275e4183b780feeb767c019c1704ae70a9338e4260196f72f

Observation 62be19cd-c4dd-48df-ac67-c5dc16d5cef4 · outbound

This paper cites Concentration inequalities.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Concentration inequalities

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.345823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.332307Z digest=sha256:9703d3375b8fdfdc4640b1bd7812639a5429de4581f70e03e943e23d29341c6a

Observation 6938390b-bd9a-47bb-9fab-70bca809ea73 · outbound

This paper cites On the Spectral Bias of Neural Networks in the Neural Tangent Kernel Regime.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks On the Spectral Bias of Neural Networks in the Neural Tangent Kernel Regime

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.328364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.336295Z digest=sha256:71fe812a4c65c9dbe219f03cc51d2e67d91e0038b37528c6f1d6b280329931e2

Observation 319052ca-25c4-44b1-b21f-2ee5c7c09a6d · outbound

This paper cites Physics-informed neural networks (PINNs) for fluid mechanics: A re- view.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Physics-informed neural networks (PINNs) for fluid mechanics: A re- view

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.312009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.340246Z digest=sha256:8e9057b672df808af2b21622ff2fe033821287968271067854c58d0f1f180898

Observation d30ad5d9-35f0-4083-a4f5-2f61fa56e842 · outbound

This paper cites Sample Complexity and Overparameterization Bounds for Temporal- Difference Learning With Neural Network Approximation.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Sample Complexity and Overparameterization Bounds for Temporal- Difference Learning With Neural Network Approximation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.344517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.344517Z digest=sha256:781c65382cb5a8fae845cd17327f5b881aa6107efb72d652580bd418f8d4c870

Observation d4b9f4ef-303b-4510-aaf8-49d62886d448 · outbound

This paper cites On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.348280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.348280Z digest=sha256:99ca1425405e20f21813114965f78dc511d7c04b9a93fa80af3f3b73cc4bfdbb

Observation bc0fbe33-cb9c-4e9c-add6-e64847da35f9 · outbound

This paper cites Scientific machine learning through physics–informed neural net- works: Where we are and what’s next.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Scientific machine learning through physics–informed neural net- works: Where we are and what’s next

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.294892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.352398Z digest=sha256:ff1dd1ce0db151bcc5a62839d1d415cee02aa5bf8857596ed7bc512f9b6578f0

Observation 68887062-3f38-4e62-b9b9-f485a6eaad61 · outbound

This paper cites Error estimates for physics- informed neural networks approximating the Navier–Stokes equations.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Error estimates for physics- informed neural networks approximating the Navier–Stokes equations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.278138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.356274Z digest=sha256:d7a83ac142cab1380b5409d809f6f4e0a15427e3a3c148c2966fe69e56363cd8

Observation 116f8c0e-73a1-4f71-81b9-aa6ed953ba76 · outbound

This paper cites Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.262383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.360189Z digest=sha256:7c1aca445e946938f46dd7c0c86584411ba5240d109a74e670a1a1a0a7d413c3

Observation c3fe407f-6502-4034-8e3b-7474b7dc0865 · outbound

This paper cites Gradient descent finds global minima of deep neural networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Gradient descent finds global minima of deep neural networks

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.245728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.364125Z digest=sha256:6877fd18cee6f36170261c76b8c275a68f6385e7de6eebcd59a23070a16287d8

Observation bf039945-18fc-4c78-bc77-496f732fe446 · outbound

This paper cites Gradient Descent Provably Optimizes Over-parameterized Neural Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Gradient Descent Provably Optimizes Over-parameterized Neural Networks

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.367866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.367866Z digest=sha256:86e4b92de85627d6f29958e57e75cda22ced6a6eb69cdd7ead4b92f97b08610d

Observation a4f23750-afdd-4982-8447-f829370bb370 · outbound

This paper cites AlgorithmsforsolvinghighdimensionalPDEs: from nonlinear Monte Carlo to machine learning.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks AlgorithmsforsolvinghighdimensionalPDEs: from nonlinear Monte Carlo to machine learning

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.227126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.372091Z digest=sha256:5c69c51fffa1d9d7441d5d9f6dd40e16bfe39a243d7a9cbe2a3adb4d12c41899

Observation 3d9dd865-21f8-4eb8-97fd-c354c2caeac3 · outbound

This paper cites an unresolved cited work.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.376304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.376304Z digest=sha256:a17b0601072e45ad2d7a0f8b07681e1d7c67618940192e457a03911fefec6d44

Observation 254da485-a3d9-4ec9-b7d9-75f8d82b4375 · outbound

This paper cites Gradient descent finds the global optima of two- layerphysics-informedneuralnetworks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Gradient descent finds the global optima of two- layerphysics-informedneuralnetworks

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.209582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.380179Z digest=sha256:d3f911942edbb84b55daa8ce214f397f50f669bd84fd443180f19d5b75603c39

Observation b4af2ada-8c3c-4ebb-82a0-3378debf182b · outbound

This paper cites An Overview on Machine Learning Methods for Partial Differential Equations: from Physics Informed Neural Networks to Deep Operator Learning.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks An Overview on Machine Learning Methods for Partial Differential Equations: from Physics Informed Neural Networks to Deep Operator Learning

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.383970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.383970Z digest=sha256:fe66449bd60ac8065350e3b37087b4f28742efd726e887e0dbad9e4702608a1f

Observation a5107867-4cd1-4f4d-93c9-72f023f07579 · outbound

This paper cites Elliptic problems in nonsmooth domains.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Elliptic problems in nonsmooth domains

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.193671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.388060Z digest=sha256:a0055e7f41da57ffb02f5191fdf5751ae728e3c35515bb9fb48f6b888b9ff4a2

Observation d3f6e3ca-a854-414a-913c-88e7c3277007 · outbound

This paper cites Neural tangent kernel: Convergence and generalization in neural networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Neural tangent kernel: Convergence and generalization in neural networks

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.176223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.391837Z digest=sha256:b1f8eb8c1cc96265dc9c2edfbbe0cd77f85effb192f9876d70436f9a1e8d6c59

Observation 638c2d93-7540-45ec-9683-e11e1d9807b9 · outbound

This paper cites Polylogarithmic width suffices for gradient descent to achieve arbitrarily small test error with shallow ReLU networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Polylogarithmic width suffices for gradient descent to achieve arbitrarily small test error with shallow ReLU networks

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.158661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.395533Z digest=sha256:d634fd8b7e67af9e0d60c124a32c3a3570778f8e81d9a0307696ff977b633612

Observation 9a716d7c-975c-47fb-8cfa-1ce0b32d6745 · outbound

This paper cites Neural tangent kernels, transportation mappings, and universal approximation.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Neural tangent kernels, transportation mappings, and universal approximation

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.142327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.399195Z digest=sha256:f8f03e8268103fb024036c8bd87e7631a0e72204e7e234599529473f1a7d8696

Observation b9abb0e4-30aa-4dca-9e25-09bca19dd75c · outbound

This paper cites DRM Revisited: A Complete Error Analysis.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks DRM Revisited: A Complete Error Analysis

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:34:57.664264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.402815Z digest=sha256:313084bccd463060be8fd0867ee949fff1656b60397d47c6e07eac11881b002f

Observation 70209177-7bf7-4428-8b9d-a73ffb4a36ac · outbound

This paper cites Physics-informed machine learning.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Physics-informed machine learning

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.407540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.407540Z digest=sha256:da903633f277b05f4a38e29416ebaf80a420561b2f055f094dfab60e8324e620

Observation 2036439b-ab09-45fb-8eaf-0c9e636b3ee7 · outbound

This paper cites PINNACLE: PINN Adaptive ColLocation and Experimen- talpointsselection.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks PINNACLE: PINN Adaptive ColLocation and Experimen- talpointsselection

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.117528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.411802Z digest=sha256:b095e3c1a8b1180c8319fabc8774ec7f9c4db8fa830971cb1df32c6159acff15

Observation 51fedfa5-2ecf-4eb4-9ffa-971dc3d5ec22 · outbound

This paper cites Probability in Banach Spaces: Isoperimetry and Processes.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Probability in Banach Spaces: Isoperimetry and Processes

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.083938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.420541Z digest=sha256:2d99ee5f7840687bd318d51e68aaff0791f6a00f28ce7952c2c642df8fa5e14f

Observation de591696-1b0f-4fbd-8385-3560b03e4a2a · outbound

This paper cites Chapter 11 - Two-layer neural networks for partial differential equations: optimization and generalization theory.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Chapter 11 - Two-layer neural networks for partial differential equations: optimization and generalization theory

Reference 31

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T22:34:58.066920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.424731Z digest=sha256:2c286d6fb3ff9ec9804e72d678bfe85ea0ac3b5d286f6a719acf742e34fe7488

Observation 0a0f2be9-7e57-48cd-a5e2-150781415026 · outbound

This paper cites Influence of Activation Functions on the Conver- gence of Physics-Informed Neural Networks for 1D Wave Equation.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Influence of Activation Functions on the Conver- gence of Physics-Informed Neural Networks for 1D Wave Equation

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.048167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.428934Z digest=sha256:f52e28bcf2ba14c689d71a552ae82d2bf559f365c4a41ea905ededeaf2c59ffa

Observation c180b11c-0be0-4512-a5bd-9de00b66f2f0 · outbound

This paper cites On the method of bounded differences.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks On the method of bounded differences

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.030828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.433306Z digest=sha256:2979a35cef627f7136b866c5a6b02204edbbd110a19b992ba966f535f1627278

Observation 32daa8e7-370d-48cd-a348-5cba183fe957 · outbound

This paper cites Estimatesonthegeneralizationerrorofphysics- informed neural networks for approximating PDEs.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Estimatesonthegeneralizationerrorofphysics- informed neural networks for approximating PDEs

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:58.014276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.437241Z digest=sha256:15b27a90b6ed198772f097dbb7e00fb5964a5db05e1a3dd0cfe8b07df702bb9b

Observation 3b7c36ce-395d-46bc-969b-b7071e60004f · outbound

This paper cites Notes on Exact Boundary Values in Residual Minimisation.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Notes on Exact Boundary Values in Residual Minimisation

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:57.998047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.441164Z digest=sha256:193f4664a8cea6987ea12c0d9b13cc1b610a572d65ea42599749f0b2cd56bb4a

Observation abe012aa-82bd-4d62-8c11-48558639a238 · outbound

This paper cites Random features for large-scale kernel machines.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Random features for large-scale kernel machines

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:57.965226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.448708Z digest=sha256:14c791f4e3f3db09405b13cd98e03e2886a4ab4fde52dfc1482c941ebda2ed61

Observation cb7cc3f7-5283-4735-a774-05a05ca4e0e0 · outbound

This paper cites Uniform approximation of functions with random bases.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Uniform approximation of functions with random bases

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.452244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.452244Z digest=sha256:e530bfb53d2ae76e27d63e497a8684d1b67e941ec1b87214dd2c02e1a50d88a1

Observation d113b19a-5463-490f-af2c-0d6c7623e74c · outbound

This paper cites Physics-informed neural net- works: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Physics-informed neural net- works: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:57.940194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.455900Z digest=sha256:0fe4876c6ca7ed622fb28ff9d4962b8dbb3d169b64a2c5a6930168a36170cce9

Observation 78040e3a-8898-4090-bb0b-833637bc2538 · outbound

This paper cites Challenges in Training PINNs: A Loss Landscape Perspective.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Challenges in Training PINNs: A Loss Landscape Perspective

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:57.924583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.459624Z digest=sha256:a57f6348cf14735d1fcef22e5ae0fc01e97fa7471ecce86041ac02505d02f684

Observation 114f9861-214e-4c92-a921-603ccce9fd89 · outbound

This paper cites DGM: A deep learning algorithm for solving partial differential equations.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks DGM: A deep learning algorithm for solving partial differential equations

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:57.909516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.463396Z digest=sha256:468b32a097a5d53cbbcdab32b5c3a2cb66543e08f6316f6813cc35df80a3ac5d

Observation 805daaba-6056-4179-815a-a5ddffb9a87f · outbound

This paper cites Deep learning theory (DRAFT).

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Deep learning theory (DRAFT)

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:34:57.891187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.467112Z digest=sha256:e02c268b0386e1ad9f079fc14ef8cbf516e7f6e442c9ff6c30e07a5bbc7cb45d

Observation 7dfcee9e-c19b-452c-a6f8-c8eba9891f1e · outbound

This paper cites From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.471108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.471108Z digest=sha256:a1375010ab95e6232293c99bcbbf0141eeece2d19b8367862626ce49edf291d8

Observation 29a48a2f-f032-4956-851a-8e1c66c5e5d3 · outbound

This paper cites Learning Specialized Activation Functions for Physics-Informed Neu- ral Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Learning Specialized Activation Functions for Physics-Informed Neu- ral Networks

Reference 43

Resolution
malformed identifier
no resolver link, observed 2026-08-15T22:34:57.475116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.475116Z digest=sha256:2acd7e68cac50869b546a5f4b028880987cb680c71e584b5b15e5739f2f7f0e0

Observation f59276ea-2af7-4031-9363-e0599d1f7c4e · outbound

This paper cites An Expert's Guide to Training Physics-informed Neural Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks An Expert's Guide to Training Physics-informed Neural Networks

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.478852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.478852Z digest=sha256:9104e1bd9b4d63efae54aeb82469c33818aab1643958f18a06069b589df53310

Observation 17392fd5-aae9-4dca-9f1f-f9ea501e75c2 · outbound

This paper cites Convergence of Implicit Gradient Descent for Training Two-Layer Physics-Informed Neural Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Convergence of Implicit Gradient Descent for Training Two-Layer Physics-Informed Neural Networks

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.482807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.482807Z digest=sha256:02a78a99e5c8f261a9db528b010d2fd5ca279a5da360b561d36527f9fcc6441b

Observation 1dbf21d8-47d4-47c5-9f22-f1b84615ac6f · outbound

This paper cites Convergence Analysis of Natural Gradient Descent for Over-parameterized Physics-Informed Neural Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Convergence Analysis of Natural Gradient Descent for Over-parameterized Physics-Informed Neural Networks

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.486518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.486518Z digest=sha256:756cbecea7b75216f567dbf70c8377481b22948a666cbc2bd296393bbfe1c6b2

Observation 264c7b08-af4d-4d00-9aa6-02a02ab1fe73 · outbound

This paper cites A Unified Framework for the Error Analysis of Physics-Informed Neural Networks.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks A Unified Framework for the Error Analysis of Physics-Informed Neural Networks

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T22:34:57.490887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:34:57.490887Z digest=sha256:eb1fd548746de0e6f6fb6231fd6c90eeceeaa1f6bb69132c284cf7576f114b02

Observation c42fca29-8305-4774-81d1-45285edad674 · outbound

This paper cites Feature Mapping in Physics-Informed Neural Networks (PINNs).

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Feature Mapping in Physics-Informed Neural Networks (PINNs)

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:34:57.568409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.495288Z digest=sha256:8b1efa048f291c5d29c54e0bd499ea6c7462307b69efdb22a2e19102f56bcd2d

Observation 1fefbf67-1d86-42ed-b1e1-e44217e7000c · outbound

This paper cites an unresolved cited work.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Unresolved cited work

Reference 240

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:34:57.981534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.444937Z digest=sha256:29abdb004975f638aa241facbf28969352b1f0462300df2adf17de10dd6c0859

Observation 9cc57bbd-a782-4b06-9207-21aeac06b86b · outbound

This paper cites an unresolved cited work.

Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks Unresolved cited work

Reference 2024

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:34:58.100614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:34:57.416099Z digest=sha256:2a5f3ad2789387c0f243f86b8cf02cd25285dda281e33eaebece36c2518d27d8

Pith citing papers

Observation 87511850-c194-4e87-9c89-56a876c50cfc · inbound

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation cites this paper.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:44:53.968550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T16:44:53.815862Z digest=sha256:5e919af9baef95c2469350374271d23234fcee894bc4b60bd58cc08718bfc163