Paper Citation Record · LEDGER

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement

As of 9 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 3 inbound Pith citation observations for arXiv:2505.18131.

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

pith.paper-citation-record.v1
2505.18131 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:41:36.766620Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T03:29:15.570760Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T03:30:50.487543Z

Reference resolution

37 of 37 outbound references displayed

verified exact2
verified fuzzy2
unresolved32
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a43e6b0a-5670-476c-bbd4-31f1368b0ef8 · outbound

This paper cites DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:32.971024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6ed50d-785e-4479-9a16-cef03ccaa356 · outbound

This paper cites (38) We proceed now to the inductive step forr≥2.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement (38) We proceed now to the inductive step forr≥2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:38.796439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ae60d8e-80e1-4839-8c79-64d232e126ed · outbound

This paper cites Can KAN Work? Exploring the Potential of Kolmogorov-Arnold Networks in Computer Vision.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Can KAN Work? Exploring the Potential of Kolmogorov-Arnold Networks in Computer Vision

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.769478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4f59442-71a6-4704-8e9b-d0e9f9f2a169 · outbound

This paper cites Demonstrating the Efficacy of Kolmogorov-Arnold Networks in Vision Tasks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Demonstrating the Efficacy of Kolmogorov-Arnold Networks in Vision Tasks

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.904312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65322624-be23-4f16-b32e-2aa68f8e30f9 · outbound

This paper cites Detecting Dead Weights and Units in Neural Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Detecting Dead Weights and Units in Neural Networks

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:41:37.690176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9607c1e8-a447-42b4-9bb7-2e2fcf825ba5 · outbound

This paper cites On the Convergence of (Stochastic) Gradient Descent for Kolmogorov--Arnold Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement On the Convergence of (Stochastic) Gradient Descent for Kolmogorov--Arnold Networks

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.342539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12bd6a03-a252-45bd-8260-8ccf724c4410 · outbound

This paper cites A., Jacob, B., Murphy, S.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement A., Jacob, B., Murphy, S

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.860001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7fdf2c5-e304-495d-891a-0b35679ea990 · outbound

This paper cites GKAN: Graph Kolmogorov-Arnold Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement GKAN: Graph Kolmogorov-Arnold Networks

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.036555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f27f497-14a5-492c-99b2-ae137987e93c · outbound

This paper cites Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.519040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52114120-c127-4eae-b22d-0dd4403d96e8 · outbound

This paper cites A Survey on Kolmogorov-Arnold Network.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement A Survey on Kolmogorov-Arnold Network

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.589260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c270de27-a23c-459f-a16e-4341b6b25721 · outbound

This paper cites J., Blanco, L., Pereira, R., and Caus, M.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement J., Blanco, L., Pereira, R., and Caus, M

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.903468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d51c65a4-a3fe-49de-8fc5-6471d9706f5f · outbound

This paper cites K., Li, B., and Perdikaris, P.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement K., Li, B., and Perdikaris, P

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:36.179543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06cd3b2f-eac3-4e48-ae9a-33aca99149fc · outbound

This paper cites doi: 10.1016/j.inffus.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement doi: 10.1016/j.inffus

Reference 31

Resolution: malformed identifier; no resolver link, observed 2026-08-07T14:41:36.258510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a92786-088a-4887-8950-4a0a52ea5210 · outbound

This paper cites KAN versus MLP on Irregular or Noisy Functions.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement KAN versus MLP on Irregular or Noisy Functions

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:36.325607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c62b1ffe-f005-4a84-9936-b0bcbd765341 · outbound

This paper cites We define the ReLUr−1 basis functions as ψ[r] i (x) =ReLU(x−t i)r−1.(30) Define A[r] ∈R (n+r−1)×(n+r−1) as the change-of-basis matrix between B[r] = h b[r] 1−r,.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement We define the ReLUr−1 basis functions as ψ[r] i (x) =ReLU(x−t i)r−1.(30) Define A[r] ∈R (n+r−1)×(n+r−1) as the change-of-basis matrix between B[r] = h b[r] 1−r,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:39.025934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 542924f9-bb5f-4a63-86c1-6e625861e313 · outbound

This paper cites an unresolved cited work.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:38.578673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ea988b3-53f1-44b8-89f4-0068c8891a97 · outbound

This paper cites an unresolved cited work.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:38.322586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4348de9f-3c96-4929-b4c9-0a231f65ed28 · outbound

This paper cites an unresolved cited work.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:38.110830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5213f60a-56e1-4a92-ae6c-62c654983778 · outbound

This paper cites A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks

Reference 1958

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.446006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2716aa12-0820-4195-8de7-5e7f43962a5e · outbound

This paper cites Physics Informed Kolmogorov-Arnold Neural Networks for Dynamical Analysis via Efficent-KAN and WAV-KAN.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Physics Informed Kolmogorov-Arnold Neural Networks for Dynamical Analysis via Efficent-KAN and WAV-KAN

Reference 1959

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.266619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbdd7a56-b7b2-4a17-9fba-0f1b8a76a556 · outbound

This paper cites Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs).

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)

Reference 1988

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.071691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 981ea586-e5b9-48b4-a24e-5e03516dee74 · outbound

This paper cites Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 1993

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.719199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc3cf6b5-0b7a-49c2-b1da-698838336912 · outbound

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

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning

Reference 1998

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.811698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 326ef646-7d99-4676-8eea-c9219d744a74 · outbound

This paper cites ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLU.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLU

Reference 1999

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.351894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6112ab4-4496-431c-8fc0-0b45d5fa43c4 · outbound

This paper cites On the Activation Function Dependence of the Spectral Bias of Neural Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement On the Activation Function Dependence of the Spectral Bias of Neural Networks

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.654358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25de4e36-0473-41d9-b7f9-2bf06b7b37f6 · outbound

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

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement An Expert's Guide to Training Physics-informed Neural Networks

Reference 2004

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.997129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba797265-2eec-44f5-8d10-dc9e4b5ecda9 · outbound

This paper cites KAGNNs: Kolmogorov-Arnold Networks meet Graph Learning.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement KAGNNs: Kolmogorov-Arnold Networks meet Graph Learning

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.400103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4de3d28d-e4ff-4fac-96e8-ceefb02f1c36 · outbound

This paper cites KAN 2.0: Kolmogorov-Arnold Networks Meet Science.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement KAN 2.0: Kolmogorov-Arnold Networks Meet Science

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:35.166866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ff515cc-ef00-41d0-a7d4-66c3f56515c0 · outbound

This paper cites SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.951389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f553753-46aa-42a7-9086-3d5193a1d80c · outbound

This paper cites Wav-KAN: Wavelet Kolmogorov-Arnold Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Wav-KAN: Wavelet Kolmogorov-Arnold Networks

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.272364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50b6f878-a269-41ee-a046-77b8f0b2d59a · outbound

This paper cites Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.453631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0a4eb29-bcf7-403a-8792-52c714472d87 · outbound

This paper cites Layer Normalization.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Layer Normalization

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.116774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95dcfc66-8209-415f-9deb-f09ddf80ba2d · outbound

This paper cites MLP-KAN: Unifying Deep Representation and Function Learning.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement MLP-KAN: Unifying Deep Representation and Function Learning

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.553936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abc002ce-0817-43cb-bf54-5d5797806ed5 · outbound

This paper cites Kolmogorov-Arnold Networks (KAN) for Time Series Classification and Robust Analysis.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Kolmogorov-Arnold Networks (KAN) for Time Series Classification and Robust Analysis

Reference 2021

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:41:37.891558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 11af4b06-d585-48ef-a8e4-e23c1e1fccb8 · outbound

This paper cites Kolmogorov-Arnold Networks: A Critical Assessment of Claims, Performance, and Practical Viability.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Kolmogorov-Arnold Networks: A Critical Assessment of Claims, Performance, and Practical Viability

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:34.763135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcaca961-0a17-484f-a79c-718691a612c0 · outbound

This paper cites PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:36.081705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a64e3b3-00bd-47b0-b52c-47fe32df0232 · outbound

This paper cites A preliminary study on continual learning in computer vision using Kolmogorov-Arnold Networks.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement A preliminary study on continual learning in computer vision using Kolmogorov-Arnold Networks

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.607671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e9664c3a-ddc5-49dd-a4d3-6be5763b27c6 · inbound

A Practitioner's Guide to Kolmogorov-Arnold Networks cites this paper.

A Practitioner's Guide to Kolmogorov-Arnold Networks Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-05-18T03:30:50.491302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f52d1f4b-f45a-498c-a0a2-e89c5b5e6d34 · inbound

Scale-Parameter Selection in Gaussian Kolmogorov-Arnold Networks cites this paper.

Scale-Parameter Selection in Gaussian Kolmogorov-Arnold Networks Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:51:07.126159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 43d33cf9-66ac-4135-a6eb-143a16aca0d8 · inbound

Partition-of-Unity Gaussian Kolmogorov-Arnold Networks cites this paper.

Partition-of-Unity Gaussian Kolmogorov-Arnold Networks Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:36:12.925873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.