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Paper Citation Record · LEDGER

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods

As of 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2501.12856.

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

pith.paper-citation-record.v1
2501.12856 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:48:38.309428Z

measured 37 of 37 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

37 of 37 outbound references displayed

  • verified exact3
  • verified fuzzy19
  • unresolved14
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7928601f-78ac-49c3-b3b5-e13c38c20b50 · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 1

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 e7dd16c6-3bc9-494f-acce-7d36a0a3c2c9 · outbound

This paper cites Hwang and J.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Hwang and J

Reference 2

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 2030d514-24c6-437d-b616-c616ba11efdd · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 3

Resolution
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This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 4

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.

source=arxiv_source observed=2026-08-10T16:48:37.958437Z digest=sha256:582893b8ea29f19cedbf940f19bbe10bb3270c6850ffc3e33bd6e6d3baec2008

Observation 8200dc95-f729-4e69-85f6-8a1aedb91790 · outbound

This paper cites A preprocessing method for parameter estimation in ordinary differential equations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods A preprocessing method for parameter estimation in ordinary differential equations

Reference 5

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.

source=arxiv_source observed=2026-08-10T16:48:37.962371Z digest=sha256:a9b15f6d138a6f676c4ce636854050ee6d0090425d9cf9e924b2943e407d331c

Observation f4770d7f-0225-4ecb-b82e-fd508de74790 · outbound

This paper cites A modified multiple shooting algorithm for parameter estimation in odes using adjoint sensitivity analysis.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods A modified multiple shooting algorithm for parameter estimation in odes using adjoint sensitivity analysis

Reference 6

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.

source=arxiv_source observed=2026-08-10T16:48:37.965976Z digest=sha256:0c641247d9fa3e5f8f8fb628df30afc6c77adaf01cc7944315a32b48112959ff

Observation 802784be-840b-47bf-a601-5769dc1ae039 · outbound

This paper cites A Bayesian Collocation Integral Method for Parameter Estimation in Ordinary Differential Equations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods A Bayesian Collocation Integral Method for Parameter Estimation in Ordinary Differential Equations

Reference 7

Resolution
verified exact
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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 c517ea58-91ed-45d0-bc04-1450e76e7012 · outbound

This paper cites Osborne, and Tania Prvan.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Osborne, and Tania Prvan

Reference 8

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 214e3ad7-5eb6-428a-82f6-07c19bd69012 · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 9

Resolution
verified exact
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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 a277344d-680e-4956-8ca8-d076df5addae · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 10

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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.

source=arxiv_source observed=2026-08-10T16:48:37.979302Z digest=sha256:73a53414afb0f1546c5a9fa89ae1b28b14335ebe52ee0eea52b213432eeeed47

Observation d4c74bd8-6795-4189-80a5-97dea91032d4 · outbound

This paper cites Huang, and Hulin Wu.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Huang, and Hulin Wu

Reference 11

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 5c9d8672-426b-429b-871c-006ad3867e57 · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 12

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 c30b03e0-652c-4ed7-9cb1-fdf0f02a4e14 · outbound

This paper cites Parameter estimation for signals described by differential equations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter estimation for signals described by differential equations

Reference 13

Resolution
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Source-reported events for the cited work

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Observation e05c34b9-1892-4450-897a-9da70aaec7f8 · outbound

This paper cites Peifer and J.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Peifer and J

Reference 14

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 228a4e32-7941-41c4-8321-1e51b8b0de37 · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 15

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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.

source=arxiv_source observed=2026-08-10T16:48:38.173311Z digest=sha256:99144c70cc1beaa0f3f40673baa121bf95d62f96436b950109f65ca3f0ad20e2

Observation 4e2c45a2-ff8d-4276-b460-c02b2f7cad69 · outbound

This paper cites Baake, M.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Baake, M

Reference 16

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T16:48:38.219188Z digest=sha256:326fb91fd795408be66716d8cd4ca8603099baac5dd0de0506dc13c1d13bc6f3

Observation c3e28f6f-5712-4b56-abeb-f610028fde77 · outbound

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Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 17

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 06c92662-7856-4401-93d3-5e906c211c8c · outbound

This paper cites Mbalawata, Simo S\" a rkk\" a , and Heikki Haario.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Mbalawata, Simo S\" a rkk\" a , and Heikki Haario

Reference 18

Resolution
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Source-reported events for the cited work

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Observation 37062e67-075d-456c-8fbc-128bb257796a · outbound

This paper cites Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations

Reference 19

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 7bb52e7d-10bc-4e8d-8420-44107e8fa85d · outbound

This paper cites Parameter estimation for rough differential equations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter estimation for rough differential equations

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 47d01083-abbb-425d-b73f-8f0e92268573 · outbound

This paper cites Parameter estimation of nonlinear stochastic differential equations: Simulated maximum likelihood versus extended kalman filter and it\^ o -taylor expansion.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter estimation of nonlinear stochastic differential equations: Simulated maximum likelihood versus extended kalman filter and it\^ o -taylor expansion

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 4722b97c-09c4-4c3c-95ef-57b807a18b06 · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 22

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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 078549aa-f67b-4e07-82cf-b4f59dc8c8aa · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 23

Resolution
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Source-reported events for the cited work

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Observation e5712f69-05c7-4095-a152-ddae7589113a · outbound

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Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 24

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Source-reported events for the cited work

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Observation a113d839-baa8-4447-a3ae-f24eb239075d · outbound

This paper cites Parameter estimation and adaptive control of euler-lagrange systems using the power balance equation parameterisation.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter estimation and adaptive control of euler-lagrange systems using the power balance equation parameterisation

Reference 25

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.

source=arxiv_source observed=2026-08-10T16:48:38.271397Z digest=sha256:bc45c20b715b1bc02c6417dd64708c73c211104eba4808b7347b018b3f52f1ce

Observation 477a8390-40ed-4f82-8f4e-77cc4b615171 · outbound

This paper cites An artificial neural network approximation based decomposition approach for parameter estimation of system of ordinary differential equations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods An artificial neural network approximation based decomposition approach for parameter estimation of system of ordinary differential equations

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.

source=arxiv_source observed=2026-08-10T16:48:38.274683Z digest=sha256:7c7b5bdea3343b815fb73185fcf87e8d413cb70663cff30c7fac5b633b2592a8

Observation 0e04e7c4-3a92-479b-b940-98c45b83fc83 · outbound

This paper cites A simultaneous approach for parameter estimation of a system ofordinary differential equations, using artificial neural networkapproximation.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods A simultaneous approach for parameter estimation of a system ofordinary differential equations, using artificial neural networkapproximation

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.

source=arxiv_source observed=2026-08-10T16:48:38.277702Z digest=sha256:1a9876428fcb22a0931b16fd8b5071fc595920b9fcf744457e12576ca30ebb01

Observation 40357d73-3287-49f6-b46c-b6787aebd015 · outbound

This paper cites Two-stage approach to parameter estimation of differential equations using neural odes.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Two-stage approach to parameter estimation of differential equations using neural odes

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.

source=arxiv_source observed=2026-08-10T16:48:38.280628Z digest=sha256:e2eb97f769d21e9fba7b383592fe6f389faa6fa109845f05e8b5c293196bd11b

Observation 533ee304-ed5b-44d8-8755-4278550cd57b · outbound

This paper cites Parameter estimation of partial differential equations using artificial neural network.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter estimation of partial differential equations using artificial neural network

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.

source=arxiv_source observed=2026-08-10T16:48:38.283725Z digest=sha256:04e102c0bd43898b5ff195f90a28047589d667ec0bb5992fe05010f47d5777ca

Observation 5918d5f5-a631-4729-b37b-320d31205ea0 · outbound

This paper cites Parameter estimation in ordinary differential equations modeling via particle swarm optimization.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter estimation in ordinary differential equations modeling via particle swarm optimization

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:48:38.759538Z

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=arxiv_source observed=2026-08-10T16:48:38.286709Z digest=sha256:a0c2d009336498b9fa0b00e5f10a9c070312a5df454b2a3e18577da65be75e6d

Observation 5fe3f219-807d-4b4f-86d8-0713a180e72b · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 31

Resolution
unresolved
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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.

source=arxiv_source observed=2026-08-10T16:48:38.290371Z digest=sha256:2c51ced1e7487114e488dd5f01307cf32f8c0c66eb56f8ff1cb1ad38b5d8d614

Observation 2cbbf626-817d-4b01-a4c4-36207db43e34 · outbound

This paper cites Improving the Efficiency of Gradient Descent Algorithms Applied to Optimization Problems with Dynamical Constraints.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Improving the Efficiency of Gradient Descent Algorithms Applied to Optimization Problems with Dynamical Constraints

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:48:38.364597Z

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=arxiv_source observed=2026-08-10T16:48:38.293311Z digest=sha256:b9a4b500d6dd91f630c9a63b8361cbf7f227797b6ab21a9be204898f57d74086

Observation bbe4c6e0-3058-40d4-98a8-314f20f6a5f9 · outbound

This paper cites Parameter identification of arx models based on modified momentum gradient descent algorithm.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Parameter identification of arx models based on modified momentum gradient descent algorithm

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:48:38.667706Z

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=arxiv_source observed=2026-08-10T16:48:38.296631Z digest=sha256:3f35ad2aa137bd765de958643ad21167e559d325d43278b1dfde886b33905bc4

Observation 650f1eef-cb0f-4192-aea5-782252c66bbf · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:48:38.657847Z

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=arxiv_source observed=2026-08-10T16:48:38.299463Z digest=sha256:5791e69c7dd54f70756671e8021194f71fb35efe90d1a1d7d2475ffcc91d49b1

Observation ed0272b2-6e00-4657-b79d-cc9e8f211ef1 · outbound

This paper cites an unresolved cited work.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:48:38.647365Z

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

source=arxiv_source observed=2026-08-10T16:48:38.302734Z digest=sha256:4041083580cf7a753bd0c3c9c5bb5409bffd23adef4e60a5656d859da9b0a696

Observation 89fbf68d-722e-45e6-a604-12344de634f1 · outbound

This paper cites Raydan and B.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods Raydan and B

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:48:38.637261Z

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

source=arxiv_source observed=2026-08-10T16:48:38.305925Z digest=sha256:cbece8d89ef3a919adb352d1a5e51face4a2134ef16cf5e645aa3af95322dd32

Observation 662a8afc-9af3-4e00-9600-12bd5bc3fa58 · outbound

This paper cites A gradient descent method for solving a system of nonlinear equations.

Systems of ODEs Parameters Estimation by Using Stochastic Newton-Raphson and Gradient Descent Methods A gradient descent method for solving a system of nonlinear equations

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-10T16:48:38.309428Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T16:48:38.309428Z digest=sha256:ea4ca9a556ce76d840d39b7a0ac10e64d9ce7dceea586db506f8dc44c94c4481

Pith citing papers

No inbound Pith citation observations are available.