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Paper Citation Record · LEDGER

Gradient Descent on Point Clouds and Applications in Learned Operator Correction

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2608.06267.

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

pith.paper-citation-record.v1
2608.06267 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:08:17.063933Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

49 of 49 outbound references displayed

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External citation measurements

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Outbound references

Observation 917b1e6b-e40b-4895-a733-32d65a7f41ba · outbound

This paper cites Absil, R.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Absil, R

Reference 1

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Observation 85558098-9325-4c0e-be77-9f82c685a092 · outbound

This paper cites Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems

Reference 2

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Observation 70c7b602-e78e-4edb-b00b-712368674ac7 · outbound

This paper cites Approximation errors and model reduction with an application in optical diffusion tomography.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Approximation errors and model reduction with an application in optical diffusion tomography

Reference 3

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Observation 48426ac5-9276-474d-9aa8-a4f9dfebe7bc · outbound

This paper cites Inverse Problems with Learned Forward Operators.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Inverse Problems with Learned Forward Operators

Reference 4

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Observation 54372b40-4630-4e55-a30c-1f3506940b16 · outbound

This paper cites Data driven regularization by projection.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Data driven regularization by projection

Reference 5

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Observation fbe89a2f-0422-48e3-888d-5133a980f47e · outbound

This paper cites Biomedical photoacoustic imaging.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Biomedical photoacoustic imaging

Reference 6

Resolution
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Observation 96057ffe-0446-4a5b-abff-458cd7534778 · outbound

This paper cites Modern Regularization Methods for Inverse Problems.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Modern Regularization Methods for Inverse Problems

Reference 7

Resolution
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Observation b419b95b-9371-4995-afce-a4e734e833ae · outbound

This paper cites Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9fbcd5af-81c0-4874-afe5-a26456ba9833 · outbound

This paper cites Manifold reconstruction using tangential Delaunay complexes.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Manifold reconstruction using tangential Delaunay complexes

Reference 9

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d7e0b40b-939d-4c1e-9a0e-e713ef0d927b · outbound

This paper cites Stochastic gradient descent on Riemannian manifolds.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Stochastic gradient descent on Riemannian manifolds

Reference 10

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Observation 58bf8cb6-04f2-48bf-87c6-bab51361ce12 · outbound

This paper cites Brezis and H.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Brezis and H

Reference 11

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Source-reported events for the cited work

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Observation b568067c-866d-49a9-9c84-9a9babbc44f2 · outbound

This paper cites Asymptotic equivalence of nonparametric regression and white noise.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Asymptotic equivalence of nonparametric regression and white noise

Reference 12

Resolution
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Source-reported events for the cited work

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Observation dd07bf61-2f4c-4f9a-abab-4619a82037e4 · outbound

This paper cites Discrete varifolds and surface approximation.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Discrete varifolds and surface approximation

Reference 13

Resolution
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Source-reported events for the cited work

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Observation 2b85ff88-fff8-472e-b768-a2f9397746b7 · outbound

This paper cites Discrete varifolds: a unified framework for discrete approxima- tions of surfaces and mean curvature.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Discrete varifolds: a unified framework for discrete approxima- tions of surfaces and mean curvature

Reference 14

Resolution
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Observation 127192c5-bc82-46ed-ba5d-2cec4aac509b · outbound

This paper cites A varifold approach to surface approximation.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction A varifold approach to surface approximation

Reference 15

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c5f23be5-30a1-4f77-b12e-a36159685a58 · outbound

This paper cites Variational regularisation for inverse prob- lems with imperfect forward operators and general noise models.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Variational regularisation for inverse prob- lems with imperfect forward operators and general noise models

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8d6a7132-7980-43d5-ad00-b3d60b018b86 · outbound

This paper cites Burago, Y.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Burago, Y

Reference 17

Resolution
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Source-reported events for the cited work

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Observation b422dc1e-3af9-4af5-9e9f-61dcfc58b483 · outbound

This paper cites A graph discretization of the Laplace–Beltrami operator.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction A graph discretization of the Laplace–Beltrami operator

Reference 18

Resolution
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Source-reported events for the cited work

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Observation 7160011d-5e74-4969-9759-782cc0a41c7a · outbound

This paper cites Dynamic updating of numerical model discrepancy using sequential sampling.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Dynamic updating of numerical model discrepancy using sequential sampling

Reference 19

Resolution
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Source-reported events for the cited work

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Observation 55383b67-3c17-4916-8431-f4b1f13ad7aa · outbound

This paper cites Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation df92f9d4-c2d5-4da6-95aa-d3324ba032ef · outbound

This paper cites Manifold reconstruction from point samples.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Manifold reconstruction from point samples

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a22814ab-c445-41d4-abf2-14c26a5c7010 · outbound

This paper cites Fast calculation of pulsed photoacoustic fields in fluids using k-space methods.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Fast calculation of pulsed photoacoustic fields in fluids using k-space methods

Reference 22

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 91a257b3-4886-4b1f-ad1d-2763ac4b7b74 · outbound

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Gradient Descent on Point Clouds and Applications in Learned Operator Correction Unresolved cited work

Reference 23

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Observation b05a58d5-f1d6-45cb-a1b5-112f796048ba · outbound

This paper cites Provable surface reconstruction from noisy samples.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Provable surface reconstruction from noisy samples

Reference 24

Resolution
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Source-reported events for the cited work

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Observation ce1b73f1-4ed3-46f6-9485-42bdbf75d070 · outbound

This paper cites Iso-Riemannian Optimization on Learned Data Manifolds.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Iso-Riemannian Optimization on Learned Data Manifolds

Reference 25

Resolution
unresolved
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Source-reported events for the cited work

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Observation 7f13e8c8-d9b6-406b-97bf-4e7c6acb3d84 · outbound

This paper cites Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b3102f36-33bf-4707-a27c-0cb336995b5f · outbound

This paper cites Curvature measures.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Curvature measures

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 04e854e2-35f1-4900-ab4f-acd104aa00cc · outbound

This paper cites Minimax manifold estimation.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Minimax manifold estimation

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4120b7fb-6301-4dae-9b5f-596b471bad4e · outbound

This paper cites Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2b512726-27f4-4c8d-877a-3dd9ebcbb200 · outbound

This paper cites Approximate k-space models and deep learning for fast photoacoustic reconstruc- tion.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Approximate k-space models and deep learning for fast photoacoustic reconstruc- tion

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6f402bda-ef1c-4ced-9cac-db49c0461e83 · outbound

This paper cites Projected gradient descent on Riemannian manifolds with applications to online power system optimization.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Projected gradient descent on Riemannian manifolds with applications to online power system optimization

Reference 31

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fd80929c-98d6-463a-81ac-f00746ce793f · outbound

This paper cites Convergence Rates for Learning Linear Operators from Noisy Data.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Convergence Rates for Learning Linear Operators from Noisy Data

Reference 32

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3b227e3d-b9fc-4d2d-adff-362d46662da6 · outbound

This paper cites Kaipio and E.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Kaipio and E

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8bdf0d0f-375e-4e63-86b5-b41f720c966f · outbound

This paper cites Statistical inverse problems: discretization, model reduction and inverse crimes.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Statistical inverse problems: discretization, model reduction and inverse crimes

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bf7eddc2-3f06-4a0e-b341-580e04ca80b7 · outbound

This paper cites Bayesian calibration of computer models.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Bayesian calibration of computer models

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.469337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0990aca0-fa86-4201-9782-d8710bfa4ee2 · outbound

This paper cites Temporal backward projection of optoacoustic pressure transients using Fourier transform methods.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Temporal backward projection of optoacoustic pressure transients using Fourier transform methods

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.453763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.000469Z digest=sha256:2ed770b86d981601dd3adc2d7c96d69e2aa8084667374c7fa3b54bcd5d767974

Observation 9b4f12a6-0c82-4b9d-820a-f1ad5bcb1162 · outbound

This paper cites Fourier neural operator for parametric partial differential equations.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Fourier neural operator for parametric partial differential equations

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.439018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.005910Z digest=sha256:e83682c6823535f94eadc9deda496e66baed2fee0b972a634dfba0c976bd637a

Observation d58bd5d5-44cf-4dae-a61e-20b5f5a406b2 · outbound

This paper cites Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.423719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.010583Z digest=sha256:4230293c7e8e3f7ebf5d2b90d8e9a962a6706359a352122af3802b8ab85198e0

Observation 2626addb-57ae-43cb-a28a-37ef43912afc · outbound

This paper cites On Learned Operator Correction in Inverse Problems.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction On Learned Operator Correction in Inverse Problems

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.409692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.014955Z digest=sha256:8b0e4642a7c6cb0253102151ed1cb6af0082ffe33acfedba9ba02942a058bd73

Observation 33b76dbe-2346-49cf-827c-426fe1d3953e · outbound

This paper cites A topological view of unsupervised learning from noisy data.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction A topological view of unsupervised learning from noisy data

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.394339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.019772Z digest=sha256:376957d900ef06ac6fd4816944f2975735d020d73aaa102b0481c2890b0b6a05

Observation 706d2a2a-0778-4080-a412-cc83774c8e09 · outbound

This paper cites Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.378380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.024864Z digest=sha256:6ba82ad54356a1668fb815b40a16a0a97ea113e4e656e577a5bacb271d565795

Observation a96d676c-2f2c-40af-a77e-e72a823a0eb4 · outbound

This paper cites A gradient-descent method for curve fitting on Riemannian manifolds.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction A gradient-descent method for curve fitting on Riemannian manifolds

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.363109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.030047Z digest=sha256:8d467de2df35326d366af174304d335601ba9992c0b438ca0ee6c311fef7fe77

Observation 363dff50-ffbe-4fe0-8300-2f53c15e7175 · outbound

This paper cites Optimization Techniques on Riemannian Manifolds.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Optimization Techniques on Riemannian Manifolds

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:17.034469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:17.034469Z digest=sha256:74e747d790c91ae5926b4677f2d5b6c6124269dd5231f25404242b09d3fd4de7

Observation 867c5b5d-5bac-4277-add9-5e735d2063d7 · outbound

This paper cites an unresolved cited work.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:17.348634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.039287Z digest=sha256:b2a2266b2e10d4c7ce765f8d8f54d57f648557d95d99f5a7bbb31375fce510da

Observation 0ec2d33b-1ade-4087-b0b7-f81b292c6243 · outbound

This paper cites k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.332887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.044922Z digest=sha256:5522f5c96eafce7dea433285e4f3b01783eb755b913748ce8608808bf066f568

Observation f985289b-1df1-4210-8a10-0c0662071ad3 · outbound

This paper cites Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using ak-space pseudospectral method.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using ak-space pseudospectral method

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.201824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.049798Z digest=sha256:b96caea705cdf2785250dd6aa744eb3b73b0972d7c52ed6ec2ea4b729d899129

Observation 58405b2c-effa-40e7-b893-9436f8297e82 · outbound

This paper cites Tangent space estimation for smooth embeddings of riemannian manifolds®.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Tangent space estimation for smooth embeddings of riemannian manifolds®

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.186729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.054227Z digest=sha256:454bc37db63f944359d1cff7d25b0845f92f3619d71efb47bffe1fb338f90b41

Observation 2a38b4a0-373a-4b9c-8231-3f9837edb852 · outbound

This paper cites Wahba.Spline models for observational data.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction Wahba.Spline models for observational data

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.169869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.059193Z digest=sha256:5b30ff9c4603d80e4f1ca75afb4faeb2c5f0c7ac58e082ce9b5cef1900bed39c

Observation e2df96d9-e34a-417f-9106-f1e59b6c0ee5 · outbound

This paper cites A useful variant of the Davis–Kahan theorem for statisticians.

Gradient Descent on Point Clouds and Applications in Learned Operator Correction A useful variant of the Davis–Kahan theorem for statisticians

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:17.154862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:08:17.063933Z digest=sha256:419ebacd12d8acf5a93fe2754200a3a61e37b252e795c10b7ea92ba5feddb221

Pith citing papers

No inbound Pith citation observations are available.