Pith. sign in

Paper Citation Record · LEDGER

Complex Physics-Informed Neural Network

As of 10 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 2 inbound Pith citation observations for arXiv:2502.04917.

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

pith.paper-citation-record.v1
2502.04917 v2

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T21:06:33.543190Z

measured 54 of 54 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T21:41:24.537783Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T15:51:30.184815Z

Reference resolution

52 of 52 outbound references displayed

  • verified exact2
  • verified fuzzy35
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b7b9e903-08e9-4bea-878a-943fdbb7402b · outbound

This paper cites Raissi, P.

Complex Physics-Informed Neural Network Raissi, P

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.272012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.272012Z digest=sha256:94be4bba3d35a98ca1d6314b45af9a3e69d041c58a267f800ef748a732c11c03

Observation 9609ea41-70a9-4300-83b6-14b626372923 · outbound

This paper cites Physics- informed machine learning.

Complex Physics-Informed Neural Network Physics- informed machine learning

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.276931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.276931Z digest=sha256:4d2e2772adcece5219790dfb5c24b4675534611cc954d2bb0ec5f1644476df68

Observation eae0cbe2-d94c-4877-965a-9057cb616cb5 · outbound

This paper cites Physics-informed neural networks for inverse problems in nano-optics and metamaterials.

Complex Physics-Informed Neural Network Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.358409Z

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.

source=pdf_text observed=2026-08-08T21:06:33.281134Z digest=sha256:4d5c07555fa2f31656870c4a3bc1ace9321702f7110f754d1f362af7fb1c38f8

Observation 2d450457-9b2f-408c-8b58-7d2a2fa0cff4 · outbound

This paper cites Non-invasive inference of thrombus material properties with physics-informed neural networks.

Complex Physics-Informed Neural Network Non-invasive inference of thrombus material properties with physics-informed neural networks

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.342972Z

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.

source=pdf_text observed=2026-08-08T21:06:33.285708Z digest=sha256:11fca7e6ea60a3522b44e34991e8dd8d25f75580182102f5393939f29f7fdb27

Observation 45d62a6f-bd0a-4fb9-8f4c-f630e9e19661 · outbound

This paper cites Physics-informed neural networks for heat transfer problems.

Complex Physics-Informed Neural Network Physics-informed neural networks for heat transfer problems

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.290072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.290072Z digest=sha256:098222ab9e265f11e150375f4e4c6cc7e76fd3efbe1c01429a7161fa4a352811

Observation d0a203d3-9516-4a38-87ad-fcfd2784a024 · outbound

This paper cites Heat transfer prediction with unknown thermal boundary conditions using physics-informed neural networks.

Complex Physics-Informed Neural Network Heat transfer prediction with unknown thermal boundary conditions using physics-informed neural networks

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.314678Z

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.

source=pdf_text observed=2026-08-08T21:06:33.294247Z digest=sha256:e4a678c9fd747ee54d709b3abfd85d60859a30a99b1c62bef711036e84734e94

Observation 994ac7dd-bb91-46e2-a05f-d664a58c5be4 · outbound

This paper cites Physics-informed graph convolutional neural network for modeling fluid flow and heat convection.

Complex Physics-Informed Neural Network Physics-informed graph convolutional neural network for modeling fluid flow and heat convection

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.297551Z

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.

source=pdf_text observed=2026-08-08T21:06:33.299280Z digest=sha256:e7aa7f701922b0c421cb2af55fb433296ea14accdb701ad305430fbb622c75d1

Observation 43ec0420-080a-4d4d-899c-7047ec41a3fc · outbound

This paper cites A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics.Computational Mechanics, 71(3):543–562, 2023.

Complex Physics-Informed Neural Network A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics.Computational Mechanics, 71(3):543–562, 2023

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.281046Z

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.

source=pdf_text observed=2026-08-08T21:06:33.304626Z digest=sha256:26507873c23d4542c5980efbd1fb1955fbe9ab4a83728082e942a0faaf6b9501

Observation 329e2b03-645e-4f7e-b1af-b6f00963ce73 · outbound

This paper cites A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics.

Complex Physics-Informed Neural Network A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.265764Z

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.

source=pdf_text observed=2026-08-08T21:06:33.309531Z digest=sha256:ffb97ea9f10394ebd6694a06ba5664df61c83b7c622be688fdbd83beda18539b

Observation 6a3e7692-0efa-4390-82d9-0a3b6288e984 · outbound

This paper cites Analyses of internal structures and defects in materials using physics-informed neural networks.

Complex Physics-Informed Neural Network Analyses of internal structures and defects in materials using physics-informed neural networks

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.314677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.314677Z digest=sha256:099bae3b1c8a642ccac2179d9a9b91903d52df731b1290298d5d8be411781916

Observation 27dc0c11-8e5e-4b20-be68-4c3d2c7c051b · outbound

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

Complex Physics-Informed Neural Network Physics-informed neural networks (PINNs) for fluid mechanics: A review

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.319570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.319570Z digest=sha256:7365aaf972ff804d04a8b59ff9b0c0c4a52f30bcb7be707e91434d28a128ed8a

Observation 9f67226b-aa61-4d1a-ab6f-b1357b75548b · outbound

This paper cites NSFnets (Navier-Stokes flow nets): Physics- informed neural networks for the incompressible Navier-Stokes equations.

Complex Physics-Informed Neural Network NSFnets (Navier-Stokes flow nets): Physics- informed neural networks for the incompressible Navier-Stokes equations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.224466Z

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.

source=pdf_text observed=2026-08-08T21:06:33.325240Z digest=sha256:fe1407e9ea8af8c56c09201283986e9321969875ea9abcdcacfa5e602a2cd2c3

Observation c909a982-3823-4122-9d83-bbde35fb2f64 · outbound

This paper cites Physics-informed neural networks for inverse problems in supersonic flows.

Complex Physics-Informed Neural Network Physics-informed neural networks for inverse problems in supersonic flows

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.205582Z

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.

source=pdf_text observed=2026-08-08T21:06:33.329815Z digest=sha256:0c7e0c223b131ad5b41c95261242429e4701301c2d7f807e21e84ad0a4cc578e

Observation 85707a9b-c995-4230-b39c-5c68a43eebfa · outbound

This paper cites Stochastic physics-informed neural ordinary differential equations.

Complex Physics-Informed Neural Network Stochastic physics-informed neural ordinary differential equations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.190215Z

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.

source=pdf_text observed=2026-08-08T21:06:33.334301Z digest=sha256:c6ab7cba09b63f89942cb25c8a4967f34eac3fa1549a7ecb2dd4ca107bf2f1c1

Observation 460a8288-451c-4225-916c-67e55b99a758 · outbound

This paper cites Physics-informed generative adversarial networks for stochastic differential equations.

Complex Physics-Informed Neural Network Physics-informed generative adversarial networks for stochastic differential equations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.175223Z

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.

source=pdf_text observed=2026-08-08T21:06:33.339212Z digest=sha256:bbb5f81d78b896bab5e60400f1c4dad3a4f03588092b20758f33d44f66799891

Observation c619a0b1-ddd7-452e-bdb9-4548794fd392 · outbound

This paper cites Adversarial uncertainty quantification in physics-informed neural networks.

Complex Physics-Informed Neural Network Adversarial uncertainty quantification in physics-informed neural networks

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.160718Z

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.

source=pdf_text observed=2026-08-08T21:06:33.346519Z digest=sha256:d8a661a88ee78144a02035fb7725961b9c71a5eb1a7809ba2a858fc6bb3786b3

Observation cfc86bfe-da1e-47cb-ba9a-bb21573fead2 · outbound

This paper cites B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data.

Complex Physics-Informed Neural Network B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.144835Z

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.

source=pdf_text observed=2026-08-08T21:06:33.351606Z digest=sha256:93733e4efef175f8cca675929df34bb463b52afec62a4c48231625272182a200

Observation 2369a216-012a-48ed-a577-e7f4d689df89 · outbound

This paper cites Understanding and mitigating gradient flow pathologies in physics-informed neural networks.

Complex Physics-Informed Neural Network Understanding and mitigating gradient flow pathologies in physics-informed neural networks

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.356195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.356195Z digest=sha256:9097761230479c4f05a8db9d8afe72e6aed5e96aa838e83f5035a7b58babe733

Observation b9539239-0e00-4841-b038-6de16dc1a7fe · outbound

This paper cites When and why PINNs fail to train: A neural tangent kernel perspective.

Complex Physics-Informed Neural Network When and why PINNs fail to train: A neural tangent kernel perspective

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.360931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.360931Z digest=sha256:2fb694c7112b0592e6b26a30c20278fd85effdea9292910ff283c70f6f5c8430

Observation 3c6f273a-588b-460f-9bbb-dcfb426ff4f0 · outbound

This paper cites Numerical Analysis (10th).

Complex Physics-Informed Neural Network Numerical Analysis (10th)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.108528Z

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.

source=pdf_text observed=2026-08-08T21:06:33.365588Z digest=sha256:a0d24e3b34538b737d4f925c65c5e3202501fc5f5169eb28bbcc99220a528634

Observation 4344c029-82d9-47ae-9748-ac7e9b900c88 · outbound

This paper cites Self-adaptive physics-informed neural networks.

Complex Physics-Informed Neural Network Self-adaptive physics-informed neural networks

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.371359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.371359Z digest=sha256:341a5ea3d8e46b4bc879e24232dfcab81b31dae0e6ca045bebd60ea26168985b

Observation fea89d80-37b4-4d5d-8f13-7feb75ef9499 · outbound

This paper cites Loss-attentional physics-informed neural networks.

Complex Physics-Informed Neural Network Loss-attentional physics-informed neural networks

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.078679Z

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.

source=pdf_text observed=2026-08-08T21:06:33.376056Z digest=sha256:c4a2c77394008fda27a651947d14c14922b3b12280fa264de205328389b1ed78

Observation ea9d2cc2-c293-4e3c-a7bf-fb658835ce72 · outbound

This paper cites DeepXDE: A deep learning library for solving differential equations.

Complex Physics-Informed Neural Network DeepXDE: A deep learning library for solving differential equations

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.062543Z

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.

source=pdf_text observed=2026-08-08T21:06:33.385431Z digest=sha256:4338eb19b757e859d2f7225c51bb5049316149fd816e0f7ad0921a7c4e0a9f6d

Observation fc697e1a-3208-4e11-9f42-09b4c4164575 · outbound

This paper cites A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks.

Complex Physics-Informed Neural Network A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.391424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.391424Z digest=sha256:d6df69e400ceacdb5b76ce65187ca9ea2cd22ac4ffe8d04bc06f1d5d4082e3f1

Observation f173f87f-96f7-43a4-ac15-21668d24d7b3 · outbound

This paper cites Active learning based sampling for high-dimensional nonlinear partial differential equations.

Complex Physics-Informed Neural Network Active learning based sampling for high-dimensional nonlinear partial differential equations

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.034429Z

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.

source=pdf_text observed=2026-08-08T21:06:33.399231Z digest=sha256:bc7237a28cf0f95e44bfd87ee38a136c672f9a4e1fd7987418779ab38acc4af4

Observation 6ff6ee51-d7a2-4505-a932-c258ff8f75a3 · outbound

This paper cites Failure-informed adaptive sampling for PINNs.SIAM Journal on Scientific Computing, 45(4):A1971–A1994, 2023.

Complex Physics-Informed Neural Network Failure-informed adaptive sampling for PINNs.SIAM Journal on Scientific Computing, 45(4):A1971–A1994, 2023

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.018664Z

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.

source=pdf_text observed=2026-08-08T21:06:33.407544Z digest=sha256:087649f681eb3f73691c9ed9830d1a24de73b11b3ada4335771f45eb59fc5d08

Observation 6c574fc8-c78d-4514-9337-283426f003af · outbound

This paper cites Respecting causality for training physics-informed neural networks.

Complex Physics-Informed Neural Network Respecting causality for training physics-informed neural networks

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:34.002691Z

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.

source=pdf_text observed=2026-08-08T21:06:33.415469Z digest=sha256:7c8ac7a473e70c5a7cd747a5d9e78b0892eb0da7a4a188e7da8b3e42b8006171

Observation da8cb5d7-98e1-46cd-8e4b-a1e3c4ca84e5 · outbound

This paper cites Mitigating propagation failures in physics- informed neural networks using retain-resample-release (R3) sampling.

Complex Physics-Informed Neural Network Mitigating propagation failures in physics- informed neural networks using retain-resample-release (R3) sampling

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.986947Z

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.

source=pdf_text observed=2026-08-08T21:06:33.422221Z digest=sha256:510c86ef233df055222be28e3c716fb6ab17491228eafc695b7b0965810d94db

Observation 3506630a-d438-4109-95b4-51c68619764b · outbound

This paper cites Extended physics-informed neural networks (XPINNs): A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations.

Complex Physics-Informed Neural Network Extended physics-informed neural networks (XPINNs): A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.971449Z

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.

source=pdf_text observed=2026-08-08T21:06:33.426953Z digest=sha256:7d30e2cff729bfbcba9019c87ae213cdfe6f05c1fefe773c25dd84c31cf1c284

Observation 355deff8-6331-4be5-875b-60a4b88ce284 · outbound

This paper cites Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems.

Complex Physics-Informed Neural Network Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.432668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.432668Z digest=sha256:5deb8054e4134c2db25a95375313742fdb24bf34c2d0f8f8b3643bf5074aace0

Observation 58e23747-071c-4497-820e-d75e6b7542ca · outbound

This paper cites Parallel physics-informed neural networks via domain decomposition.

Complex Physics-Informed Neural Network Parallel physics-informed neural networks via domain decomposition

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.438369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.438369Z digest=sha256:650e0692d6810c95a8e822b0c6e697c35ac49f51520072ef95eb20fc1ea306c0

Observation c7a52acb-53a2-4503-bcc0-33c3a39a13c7 · outbound

This paper cites Initialization-enhanced physics-informed neural network with domain decomposition (IDPINN).

Complex Physics-Informed Neural Network Initialization-enhanced physics-informed neural network with domain decomposition (IDPINN)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.935821Z

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.

source=pdf_text observed=2026-08-08T21:06:33.442647Z digest=sha256:ba3e641bb9e344f858fe885a07618adc6915f3b32e4250ac3f0c2ba3cab4a729

Observation 01525e0e-14c6-46f9-ae30-78cca8a480d3 · outbound

This paper cites Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers.

Complex Physics-Informed Neural Network Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.447415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.447415Z digest=sha256:5b749a36f48d65a944646fa1c242f71445a652e8d3bf0ba0b302865310b4ca96

Observation 9769fd57-c623-4f29-81ea-c83540c8eb14 · outbound

This paper cites Two-stage initial-value iterative physics- informed neural networks for simulating solitary waves of nonlinear wave equations.

Complex Physics-Informed Neural Network Two-stage initial-value iterative physics- informed neural networks for simulating solitary waves of nonlinear wave equations

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.920782Z

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.

source=pdf_text observed=2026-08-08T21:06:33.453637Z digest=sha256:979bc25152df7fd71f7d450490b44383d789d058f9d7fdafdfc99a94998bcc5a

Observation 9895dc76-1398-4f07-a955-4601aa979425 · outbound

This paper cites Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems.

Complex Physics-Informed Neural Network Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.905571Z

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.

source=pdf_text observed=2026-08-08T21:06:33.458190Z digest=sha256:620839e77df62c6c20792d51c9b491054378becf4dc9ec0b1dbcbaa8df320a0b

Observation d77bdbb5-c168-4fcc-8e06-04e285eaf435 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

Complex Physics-Informed Neural Network KAN: Kolmogorov-Arnold Networks

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.462633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.462633Z digest=sha256:e7c6a47d48d83a434e3180b390fd06607b47233c9185cf2168f4fd469ffb2ba9

Observation a5a032d9-18fa-40bf-8ba4-edb37430191a · outbound

This paper cites A comprehen- sive and fair comparison between MLP and KAN representations for differential equations and operator networks.

Complex Physics-Informed Neural Network A comprehen- sive and fair comparison between MLP and KAN representations for differential equations and operator networks

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.890350Z

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.

source=pdf_text observed=2026-08-08T21:06:33.467279Z digest=sha256:411744d52662f7c6587e244c69aff5941b4e8841c2b3bc1f083cfbc3ff9d02a8

Observation 86e6bea7-3ad3-4e4d-a5fb-ce15d1be2f2d · outbound

This paper cites an unresolved cited work.

Complex Physics-Informed Neural Network Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-08T21:06:33.872555Z

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.

source=pdf_text observed=2026-08-08T21:06:33.473153Z digest=sha256:94207a262c1cc059d83f626c4f7f749ee3434892ab7028b6ae90e21ff7b21f7c

Observation c05a34e5-cd89-4d88-a02f-21ebb888f9b7 · outbound

This paper cites PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks.

Complex Physics-Informed Neural Network PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-08T21:06:33.477351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:06:33.477351Z digest=sha256:fdb97a275cf12c086632c4bb18599c2eef454c8b2f4aa94cb48eee602b7031fe

Observation b21d2ef1-4302-46a6-a10f-459c25cacebc · outbound

This paper cites Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear partial differential equations.

Complex Physics-Informed Neural Network Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear partial differential equations

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.858480Z

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.

source=pdf_text observed=2026-08-08T21:06:33.484483Z digest=sha256:2514979e136bbcc794dc1f1963ce61c907592b15afa8ee4632ebd7f1bd43f72a

Observation 1d9c2ad6-b45e-4365-bb0a-1ade6a55d8a9 · outbound

This paper cites Binary structured physics-informed neural networks for solving equations with rapidly changing solutions.

Complex Physics-Informed Neural Network Binary structured physics-informed neural networks for solving equations with rapidly changing solutions

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-08T21:06:33.618170Z

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.

source=pdf_text observed=2026-08-08T21:06:33.491361Z digest=sha256:dddc4e91c4c22404243118639717116392aba54f330d64082e1f93be4c5b1064

Observation 2c2270df-9af4-4590-8702-f9cb40f7aa32 · outbound

This paper cites f-PICNN: A physics-informed convolutional neural network for partial differential equations with space-time domain.

Complex Physics-Informed Neural Network f-PICNN: A physics-informed convolutional neural network for partial differential equations with space-time domain

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.844502Z

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.

source=pdf_text observed=2026-08-08T21:06:33.495866Z digest=sha256:46873097b6af8c566f5f978f9674be1848526cd8e89890e01eaefe5240794ade

Observation 33a2342c-bb96-4b0d-a2f0-74367b2c5ef9 · outbound

This paper cites Piratenets: Physics-informed deep learning with residual adaptive networks.

Complex Physics-Informed Neural Network Piratenets: Physics-informed deep learning with residual adaptive networks

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.830555Z

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.

source=pdf_text observed=2026-08-08T21:06:33.500802Z digest=sha256:22f276fc489e3581f7cbd6edaa2b9b46dd7fc812062485183b69925a9ba77478

Observation 1bccb202-df2a-4b05-b8b0-7367286538e5 · outbound

This paper cites Dasa-pinns: Differentiable adversarial self-adaptive pointwise weighting scheme for physics-informed neural networks.

Complex Physics-Informed Neural Network Dasa-pinns: Differentiable adversarial self-adaptive pointwise weighting scheme for physics-informed neural networks

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.815372Z

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.

source=pdf_text observed=2026-08-08T21:06:33.505932Z digest=sha256:0601e447538ee7a863a7d539721e06adec19858138572de1437223a261541718

Observation d63eea75-5ed0-4828-9d93-6b286e342ef6 · outbound

This paper cites Augmented Physics-Informed Neural Networks (APINNs): A gating network-based soft domain decomposition methodology.

Complex Physics-Informed Neural Network Augmented Physics-Informed Neural Networks (APINNs): A gating network-based soft domain decomposition methodology

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.800100Z

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.

source=pdf_text observed=2026-08-08T21:06:33.510414Z digest=sha256:56ae59fab71b18ce16066fdacfae3b153301de049589fe0d11b99e7cb761a8c8

Observation 6385ec57-1e70-4870-9ad1-ad5526cf2327 · outbound

This paper cites Residual- based attention in physics-informed neural networks.

Complex Physics-Informed Neural Network Residual- based attention in physics-informed neural networks

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.783936Z

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.

source=pdf_text observed=2026-08-08T21:06:33.514941Z digest=sha256:7805053c5dac5acc8a6afe2414a6af788a983d37b67ba1375d2df478927929bb

Observation 8d6e5a09-8104-41c5-abd9-b5c5d496cc7c · outbound

This paper cites Cauchy activation function and XNet.

Complex Physics-Informed Neural Network Cauchy activation function and XNet

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.766010Z

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.

source=pdf_text observed=2026-08-08T21:06:33.519222Z digest=sha256:1bd2e6f01c3b3e1681c23927fcd8adf2987941360e3c698d5ef32cf08f0bdb9b

Observation a39db935-e25d-4637-98a6-5a80d070fb5a · outbound

This paper cites Model Comparisons: XNet Outperforms KAN.

Complex Physics-Informed Neural Network Model Comparisons: XNet Outperforms KAN

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-08T21:06:33.593331Z

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.

source=pdf_text observed=2026-08-08T21:06:33.523390Z digest=sha256:79afd16a705c456082e845ca7b5c2eb976c72f2ba632d033c3d654494e908dde

Observation fc35a959-1c84-4e6a-80f1-8c35a6a7f63a · outbound

This paper cites Wavelets based physics informed neural networks to solve non-linear differential equations.

Complex Physics-Informed Neural Network Wavelets based physics informed neural networks to solve non-linear differential equations

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.749384Z

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.

source=pdf_text observed=2026-08-08T21:06:33.528132Z digest=sha256:89bed3d24e09d95fca543dfa9056a58429429f5617877fdb183db20944624d5f

Observation 4ec41083-c49d-465b-b984-c27a8ceb6b22 · outbound

This paper cites The exponentially convergent trapezoidal rule.

Complex Physics-Informed Neural Network The exponentially convergent trapezoidal rule

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.729932Z

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.

source=pdf_text observed=2026-08-08T21:06:33.532486Z digest=sha256:aca9c1caee002e2a459f26082ed2e0db0bdaa3474432c3a06ed1dbf32709800e

Observation 99c361fb-5e7a-4e9a-85bf-25f1f567bfb8 · outbound

This paper cites Varieties of sums of powers.

Complex Physics-Informed Neural Network Varieties of sums of powers

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.711035Z

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.

source=pdf_text observed=2026-08-08T21:06:33.537310Z digest=sha256:e7ca40c5ac149e3d64ec09b2d5500533fd403498efafa0efd1ab81840f7286bf

Observation 1fc169a6-4e03-4fab-a95d-64332b36dcd5 · outbound

This paper cites Enhanced physics-informed neural networks with augmented lagrangian relaxation method (AL-PINNs).

Complex Physics-Informed Neural Network Enhanced physics-informed neural networks with augmented lagrangian relaxation method (AL-PINNs)

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T21:06:33.689917Z

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.

source=pdf_text observed=2026-08-08T21:06:33.543190Z digest=sha256:7d9db3cc1d7418fb9811048ff63d1a6ee2a1749e0a69d76383387a3cba7c5709

Pith citing papers

Observation 7b6a545a-6fa5-4c61-afb7-9ab780877ef2 · inbound

Kolmogorov-Arnold Representation for Symplectic Learning: Advancing Hamiltonian Neural Networks cites this paper.

Kolmogorov-Arnold Representation for Symplectic Learning: Advancing Hamiltonian Neural Networks Complex Physics-Informed Neural Network

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-05T15:51:30.187615Z

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.

source=pdf_text observed=2026-08-05T15:51:29.999525Z digest=sha256:7e898f50ccc60f5bf811fea2c7fad1c1323358df8bd96f333b99cb830c8d7063

Observation ff678914-3106-4921-b877-148fe4c6b682 · inbound

Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features cites this paper.

Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features Complex Physics-Informed Neural Network

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T21:41:24.537783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:41:24.537783Z digest=sha256:210403c3130339de1f57af5021dec7ed45c031b5c7d126bc775e72a730ae7513