Paper Citation Record · LEDGER

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

As of 9 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 6 inbound Pith citation observations for arXiv:2509.19830.

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

pith.paper-citation-record.v1
2509.19830 v3

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:23:58.952414Z

measured 42 of 42 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T09:27:26.548718Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T09:35:39.316478Z

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy0
unresolved35
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External citation measurements

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Outbound references

Observation 3dd35f56-4e2a-47a7-95d2-4ccb3da36394 · outbound

This paper cites rKAN: Rational Kolmogorov-Arnold Networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators rKAN: Rational Kolmogorov-Arnold Networks

Reference 1

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Observation 0b65e047-1f1d-426f-ae98-80d821a6a5bb · outbound

This paper cites On functions of three variables.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators On functions of three variables

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:54.841599Z

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Observation 2de1dd8b-8a66-46ee-a85f-e6599fdfcbe3 · outbound

This paper cites Approximation and estimation bounds for artificial neural networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Approximation and estimation bounds for artificial neural networks

Reference 3

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Observation 92710976-5268-4d40-b516-17fa9a62a856 · outbound

This paper cites Universal approximation bounds for superpositions of a sigmoidal function.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Universal approximation bounds for superpositions of a sigmoidal function

Reference 4

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Observation fce333fb-69be-4e7c-b6a1-f6121db1fbdc · outbound

This paper cites On deep learning as a remedy for the curse of dimensionality in nonparametric regression.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators On deep learning as a remedy for the curse of dimensionality in nonparametric regression

Reference 5

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Observation bc2b781a-9641-452b-abad-41e6fae08d34 · outbound

This paper cites Convolutional Kolmogorov-Arnold Networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Convolutional Kolmogorov-Arnold Networks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:55.313809Z

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Observation 3bfd7ea9-5446-4452-88e3-83f7b9dfb240 · outbound

This paper cites Large sample sieve estimation of semi-nonparametric models.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Large sample sieve estimation of semi-nonparametric models

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:55.387263Z

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Observation 2159f94a-d55a-48f7-bcd3-ce93147ae35a · outbound

This paper cites On the convergence of (stochastic) gradient descent for kolmogorov--arnold networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators On the convergence of (stochastic) gradient descent for kolmogorov--arnold networks

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:55.514774Z

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Observation 6d7fcba7-c933-4be7-ae61-081eb8b7d962 · outbound

This paper cites A distribution-free theory of nonparametric regression.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators A distribution-free theory of nonparametric regression

Reference 9

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Observation cc3bec23-6481-40e1-9910-22639ba9a984 · outbound

This paper cites Applied nonparametric regression.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Applied nonparametric regression

Reference 10

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Observation 742240f6-8fe5-4426-b988-e3e27bebb345 · outbound

This paper cites Convergence rate of b-spline estimators of nonparametric conditional quantile functions.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Convergence rate of b-spline estimators of nonparametric conditional quantile functions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:55.911220Z

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Observation 67356c3c-2e42-462d-b79f-ac51c156e07e · outbound

This paper cites Deep neural networks learn non-smooth functions effectively.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Deep neural networks learn non-smooth functions effectively

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.036051Z

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Observation 20e53ea4-ed91-4c42-90ca-dee936544819 · outbound

This paper cites GKAN: Graph Kolmogorov-Arnold Networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators GKAN: Graph Kolmogorov-Arnold Networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.160327Z

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Observation 4b72c76a-fc79-4e08-88dc-c554e8dd12f0 · outbound

This paper cites Kan-odes: Kolmogorov--arnold network ordinary differential equations for learning dynamical systems and hidden physics.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Kan-odes: Kolmogorov--arnold network ordinary differential equations for learning dynamical systems and hidden physics

Reference 14

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Observation 33c9e069-36c4-4051-9b8c-575cf46e968b · outbound

This paper cites On the rate of convergence of fully connected deep neural network regression estimates.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators On the rate of convergence of fully connected deep neural network regression estimates

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.438324Z

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Observation 57a69658-7658-4da3-9368-a0bc4add2f1d · outbound

This paper cites On the representations of continuous functions of many variables by superposition of continuous functions of one variable and addition.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators On the representations of continuous functions of many variables by superposition of continuous functions of one variable and addition

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.541879Z

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Observation a012d881-1f45-41ef-b84f-27057165392a · outbound

This paper cites Global convergence rates of b-spline m-estimators in nonparametric regression.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Global convergence rates of b-spline m-estimators in nonparametric regression

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.672494Z

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Observation 534fa82d-8dfc-4495-a1e7-186e135e3a06 · outbound

This paper cites On the limited memory bfgs method for large scale optimization.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators On the limited memory bfgs method for large scale optimization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.787534Z

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Observation d5df0286-7f0a-4e48-a29b-29b65ff8e196 · outbound

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

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators KAN 2.0: Kolmogorov-Arnold Networks Meet Science

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:56.959107Z

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Observation 4d7b9109-ada2-4c7e-8b88-887415705318 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators KAN: Kolmogorov-Arnold Networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:57.094816Z

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Observation de13f759-c725-44ad-8481-16c262a2d0cc · outbound

This paper cites Spline smoothing in regression models and asymptotic efficiency in l 2.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Spline smoothing in regression models and asymptotic efficiency in l 2

Reference 21

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Observation b7734e6e-78c8-4e6d-8b6f-8027d209e8c4 · outbound

This paper cites Nonparametric regression using deep neural networks with ReLU activation function.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Nonparametric regression using deep neural networks with ReLU activation function

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:57.323420Z

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Observation 1210e4cd-f3a3-41a2-a4c4-d9df2dbc07f4 · outbound

This paper cites The kolmogorov--arnold representation theorem revisited.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators The kolmogorov--arnold representation theorem revisited

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:57.446381Z

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Observation 3cac8638-fde5-4855-9e7a-7f327767b4db · outbound

This paper cites Spline functions: basic theory.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Spline functions: basic theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:57.609042Z

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Observation 209baa38-ff57-4bc9-bc44-f6dc4b35816a · outbound

This paper cites Spline smoothing and optimal rates of convergence in nonparametric regression models.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Spline smoothing and optimal rates of convergence in nonparametric regression models

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:57.731749Z

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Observation 41377d3a-4ca2-47c4-a0c0-ade7f9afd75a · outbound

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

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 26

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Observation ace7fcd4-82e4-47dd-8a93-e0d53cbdfcca · outbound

This paper cites Optimal global rates of convergence for nonparametric regression.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Optimal global rates of convergence for nonparametric regression

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:57.932062Z

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Observation 62d1f507-05f2-48e0-9d3d-9a3b3d99781f · outbound

This paper cites Nonparametric estimators.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Nonparametric estimators

Reference 28

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Observation 03cc1116-acdc-4f97-91f0-ac897de60601 · outbound

This paper cites B-spline signal processing.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators B-spline signal processing

Reference 29

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Observation 87dd8fa8-071f-46ac-b5dd-73c928f6545b · outbound

This paper cites Kolmogorov-arnold networks (kans) for time series analysis.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Kolmogorov-arnold networks (kans) for time series analysis

Reference 30

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Observation c6eab6a2-e428-4f43-b016-75630c154900 · outbound

This paper cites Kolmogorov--arnold-informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on kolmogorov--arnold networks.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Kolmogorov--arnold-informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on kolmogorov--arnold networks

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:58.432685Z

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Observation 2c9ca385-95f2-4776-88f6-40cb94288a1f · outbound

This paper cites Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T15:23:58.501488Z

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Observation 0d9311b5-156d-42d8-b72f-f4a60bc3252a · outbound

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On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators write newline

Reference 33

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This paper cites @esa (Ref.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators @esa (Ref

Reference 34

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Observation c2125c88-fc3f-4027-8f6a-4e3899016410 · outbound

This paper cites an unresolved cited work.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Unresolved cited work

Reference 35

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Observation 0a4ff8f4-c94e-4629-97d3-2c9d3c3f8f31 · outbound

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On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Unresolved cited work

Reference 36

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Pith citing papers

Observation ec99b3f7-4c9f-42c4-90ab-dbce3a6f3394 · inbound

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

A Practitioner's Guide to Kolmogorov-Arnold Networks On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

Reference 147

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:00.293982Z

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Observation 68f036c3-db79-4c60-bd48-1125364bc01c · inbound

Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks cites this paper.

Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:00.293982Z

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Observation 2bf1da93-1511-4644-880d-387578f29fa7 · inbound

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks cites this paper.

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:00.293982Z

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Observation deebb54d-5ba8-4871-bd89-be88f0750f5d · inbound

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks cites this paper.

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:00.293982Z

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

Observation 9850672f-6fc8-4f7e-8761-fb1051806cfe · inbound

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks cites this paper.

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:00.293982Z

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

Observation 676d01ac-6dc2-4f00-b0d8-28d735d5dbd3 · inbound

Population Risk Bounds for Kolmogorov-Arnold Networks Trained by DP-SGD with Correlated Noise cites this paper.

Population Risk Bounds for Kolmogorov-Arnold Networks Trained by DP-SGD with Correlated Noise On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:03:00.293982Z

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.