Paper Citation Record · LEDGER

Estimation of a function of low local dimensionality by deep neural networks

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.11140.

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

pith.paper-citation-record.v1
1908.11140 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:38:31.060985Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy8
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3881d8e8-9824-429b-8cde-3fe61cc505f6 · outbound

This paper cites independent com ponents.

Estimation of a function of low local dimensionality by deep neural networks independent com ponents

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.726904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 65699ab9-b652-4930-8d2d-caa7792c4ba5 · outbound

This paper cites an unresolved cited work.

Estimation of a function of low local dimensionality by deep neural networks Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:38:31.434397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9cea9645-e115-4da2-8d0f-02425baae6a2 · outbound

This paper cites Corollary 1 concerns the result of Theorem 2, if we choose J1 = ∅ in (20).

Estimation of a function of low local dimensionality by deep neural networks Corollary 1 concerns the result of Theorem 2, if we choose J1 = ∅ in (20)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.630288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b58f4ffc-1fa5-491f-a97c-9451356a2aef · outbound

This paper cites Let f : Rd → R be a (p, C)–smooth function.

Estimation of a function of low local dimensionality by deep neural networks Let f : Rd → R be a (p, C)–smooth function

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.212162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 136b4cfc-3438-435b-8233-0f53a5474573 · outbound

This paper cites an unresolved cited work.

Estimation of a function of low local dimensionality by deep neural networks Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:38:31.615729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 987c9cda-99ea-489d-8f9e-7e116d20921d · outbound

This paper cites For R > M · 9·‖σ ′′ ‖∞·(an)2 2·|σ ′ (tσ.id )| we can conclude, that ⏐ ⏐ ⏐ ⏐f l id ( x − tj tj+l − tj )⏐ ⏐ ⏐ ⏐ ≤ 3an and ⏐ ⏐ ⏐ ⏐f l id ( tj+l+1 − x tj+l+2 − tj+1 )⏐ ⏐ ⏐ ⏐ ≤ 3an.

Estimation of a function of low local dimensionality by deep neural networks For R > M · 9·‖σ ′′ ‖∞·(an)2 2·|σ ′ (tσ.id )| we can conclude, that ⏐ ⏐ ⏐ ⏐f l id ( x − tj tj+l − tj )⏐ ⏐ ⏐ ⏐ ≤ 3an and ⏐ ⏐ ⏐ ⏐f l id ( tj+l+1 − x tj+l+2 − tj+1 )⏐ ⏐ ⏐ ⏐ ≤ 3an

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.602713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8666475e-00e3-444e-a022-89876f9551fc · outbound

This paper cites Let ˜mn be the least squares estimate ˜mn(·) = arg min f ∈Fn 1 n n∑ i=1 |Yi − f (Xi)|2 based on some function space Fn and set mn = Tβ n ˜mn.

Estimation of a function of low local dimensionality by deep neural networks Let ˜mn be the least squares estimate ˜mn(·) = arg min f ∈Fn 1 n n∑ i=1 |Yi − f (Xi)|2 based on some function space Fn and set mn = Tβ n ˜mn

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.273932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e804b226-f42b-4be8-bb4f-2cecf0db3218 · outbound

This paper cites Then log ( N (ǫ, F (sparse) M ∗,L,r,α , ‖ · ‖∞, [−a,a ]d) ) ≤ c33 · log(n) · M ∗ holds for any n > 1 and a constant c33 > 0 independent of n and M ∗.

Estimation of a function of low local dimensionality by deep neural networks Then log ( N (ǫ, F (sparse) M ∗,L,r,α , ‖ · ‖∞, [−a,a ]d) ) ≤ c33 · log(n) · M ∗ holds for any n > 1 and a constant c33 > 0 independent of n and M ∗

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.259348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 34156865-0c87-449e-bf14-318500943d8a · outbound

This paper cites (2017) we can conclude, that for an y k = 1,.

Estimation of a function of low local dimensionality by deep neural networks (2017) we can conclude, that for an y k = 1,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.237535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bcb500d1-7c93-45f6-9126-08156af5c6e5 · outbound

This paper cites Deep ReLU network approximation of functions on a manifold.

Estimation of a function of low local dimensionality by deep neural networks Deep ReLU network approximation of functions on a manifold

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T10:38:30.833342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66fe868b-edfc-4d3f-8252-0b8151ce1c40 · outbound

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

Estimation of a function of low local dimensionality by deep neural networks On the rate of convergence of fully connected very deep neural network regression estimates

Reference 208

Resolution: unresolved; no resolver link, observed 2026-08-14T10:38:30.827733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14bb8914-5f8f-4b22-9f5c-8ff87690b045 · outbound

This paper cites and Gama, J.

Estimation of a function of low local dimensionality by deep neural networks and Gama, J

Reference 242

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:38:31.642037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.