Pith. sign in

REVIEW 1 cited by

Multifidelity Kolmogorov-Arnold Networks

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2410.14764 v1 pith:PVQAWTW5 submitted 2024-10-18 cs.LG cs.NAmath.NA

classification cs.LGcs.NAmath.NA
keywords datahigh-fidelitykansmultifidelityaccuratelyamountkolmogorov-arnoldmodel
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We develop a method for multifidelity Kolmogorov-Arnold networks (KANs), which use a low-fidelity model along with a small amount of high-fidelity data to train a model for the high-fidelity data accurately. Multifidelity KANs (MFKANs) reduce the amount of expensive high-fidelity data needed to accurately train a KAN by exploiting the correlations between the low- and high-fidelity data to give accurate and robust predictions in the absence of a large high-fidelity dataset. In addition, we show that multifidelity KANs can be used to increase the accuracy of physics-informed KANs (PIKANs), without the use of training data.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics

    cs.LG 2024-12 conditional novelty 6.0 of 10

    KKANs, a two-block KART-based architecture with MLP inner functions and basis-function outer functions, universally approximate continuous functions and empirically outperform MLP and cKAN baselines in regression, PIN...

Pith tools