Paper Citation Record · LEDGER

Learning Epidemiological Dynamics via the Finite Expression Method

As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2412.21049.

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

pith.paper-citation-record.v1
2412.21049 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:08:15.143302Z

measured 33 of 33 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

33 of 33 outbound references displayed

verified exact3
verified fuzzy18
unresolved12
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5b44acc-8516-4071-947c-c3736bfb183e · outbound

This paper cites Infectious diseases of humans: dynamics and control.

Learning Epidemiological Dynamics via the Finite Expression Method Infectious diseases of humans: dynamics and control

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.975651Z

Source-reported events for the cited work

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Observation bc92fa6a-0bbc-4070-b2ef-8d17b17924ee · outbound

This paper cites Fractional-order seiqrdp model for simulating the dynamics of covid-19 epidemic.

Learning Epidemiological Dynamics via the Finite Expression Method Fractional-order seiqrdp model for simulating the dynamics of covid-19 epidemic

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.956730Z

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.

Observation d2ed3784-7cf8-4635-b7db-52ed35080c2a · outbound

This paper cites Mathematical models in epidemiol- ogy, volume 32.

Learning Epidemiological Dynamics via the Finite Expression Method Mathematical models in epidemiol- ogy, volume 32

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.938305Z

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.

Observation 7b97462d-1561-48a0-9458-084c58c1db17 · outbound

This paper cites Numerical analysis, brooks, 1997.

Learning Epidemiological Dynamics via the Finite Expression Method Numerical analysis, brooks, 1997

Reference 4

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Source-reported events for the cited work

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Observation f6ac2923-715d-4e66-ac63-9d2b2374bb56 · outbound

This paper cites Discovering symbolic models from deep learning with inductive biases.

Learning Epidemiological Dynamics via the Finite Expression Method Discovering symbolic models from deep learning with inductive biases

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.910345Z

Source-reported events for the cited work

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Observation b8868918-d372-4ac6-8b0e-0f997f426be1 · outbound

This paper cites Greedy randomized adaptive search procedures.

Learning Epidemiological Dynamics via the Finite Expression Method Greedy randomized adaptive search procedures

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.891830Z

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.

Observation 539294af-e943-4783-a6c4-28645673da37 · outbound

This paper cites Practical methods of optimization.

Learning Epidemiological Dynamics via the Finite Expression Method Practical methods of optimization

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.864021Z

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.

Observation 8f8513d9-3efa-47fc-bb75-d4256bfc61f4 · outbound

This paper cites Deep learning, 2016.

Learning Epidemiological Dynamics via the Finite Expression Method Deep learning, 2016

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:14.988850Z

Source-reported events for the cited work

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Observation 61c3d0dc-ee17-4036-a84d-48ec34d1b9d5 · outbound

This paper cites Mathematical models of infectious disease trans- mission.

Learning Epidemiological Dynamics via the Finite Expression Method Mathematical models of infectious disease trans- mission

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.832964Z

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.

Observation b772c49c-0950-455f-867c-b868338df9a5 · outbound

This paper cites The mathematics of infectious diseases.

Learning Epidemiological Dynamics via the Finite Expression Method The mathematics of infectious diseases

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.815894Z

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.

Observation 15c5b9f2-7b1b-41ea-8277-44d7cd5158c1 · outbound

This paper cites Long short-term memory.

Learning Epidemiological Dynamics via the Finite Expression Method Long short-term memory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.005342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19e44b16-77d9-4f14-9a73-a3df2457eb23 · outbound

This paper cites AttNS: Attention-inspired numerical solving for limited data scenarios.

Learning Epidemiological Dynamics via the Finite Expression Method AttNS: Attention-inspired numerical solving for limited data scenarios

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.785961Z

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.

Observation 6572f8d2-29e8-44fd-aa3e-0aeb1c5fda62 · outbound

This paper cites Finite expression methods for discovering physical laws from data.

Learning Epidemiological Dynamics via the Finite Expression Method Finite expression methods for discovering physical laws from data

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:08:15.516883Z

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.

Observation c07ba2c7-a5d7-4b57-b91c-38bd1b2a8072 · outbound

This paper cites Covid- 19 data repository.

Learning Epidemiological Dynamics via the Finite Expression Method Covid- 19 data repository

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.767495Z

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.

Observation 77336d2f-b31e-497d-9767-22149cddd741 · outbound

This paper cites Modeling infectious diseases in humans and animals.

Learning Epidemiological Dynamics via the Finite Expression Method Modeling infectious diseases in humans and animals

Reference 15

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Source-reported events for the cited work

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Observation 1d957ba0-dd9e-49e7-b361-b87e17eb6853 · outbound

This paper cites A contribution to the mathematical theory of epidemics.

Learning Epidemiological Dynamics via the Finite Expression Method A contribution to the mathematical theory of epidemics

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.736753Z

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.

Observation 4f471adf-35ca-4f67-bcb9-1f11a980317f · outbound

This paper cites Deep learning.nature, 521(7553):436–444, 2015.

Learning Epidemiological Dynamics via the Finite Expression Method Deep learning.nature, 521(7553):436–444, 2015

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.040116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccc3c427-89dd-4505-94a1-8bb3f036331a · outbound

This paper cites Stiffness-aware neural network for learn- ing hamiltonian systems.

Learning Epidemiological Dynamics via the Finite Expression Method Stiffness-aware neural network for learn- ing hamiltonian systems

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.705995Z

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.

Observation fff1c2ab-2c0d-4a3f-9fa3-4f76de0b93d7 · outbound

This paper cites Reproducing activation func- tion for deep learning.

Learning Epidemiological Dynamics via the Finite Expression Method Reproducing activation func- tion for deep learning

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.687083Z

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.

Observation bcd814ac-d5f3-4e19-a4f2-00c889f3fa09 · outbound

This paper cites Finite Expression Method for Solving High-Dimensional Partial Differential Equations.

Learning Epidemiological Dynamics via the Finite Expression Method Finite Expression Method for Solving High-Dimensional Partial Differential Equations

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:08:15.418557Z

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.

Observation 5a13a646-4689-4a65-a361-a9866de2833e · outbound

This paper cites A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems.

Learning Epidemiological Dynamics via the Finite Expression Method A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.061466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e25e33f-0a55-49e0-b4d3-d00ba74c348a · outbound

This paper cites Model reduction with memory and the machine learning of dynamical systems.

Learning Epidemiological Dynamics via the Finite Expression Method Model reduction with memory and the machine learning of dynamical systems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.666477Z

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.

Observation a84013d3-c502-4e6a-aea9-e0e2e48326ff · outbound

This paper cites Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients.

Learning Epidemiological Dynamics via the Finite Expression Method Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.074951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6841eb76-1c76-4cdf-8340-7d66ceb5a68a · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Learning Epidemiological Dynamics via the Finite Expression Method Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.081589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 647e8ea4-e8dc-45a7-9b6d-541586ee3812 · outbound

This paper cites An overview of gradient descent optimization algorithms.

Learning Epidemiological Dynamics via the Finite Expression Method An overview of gradient descent optimization algorithms

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.087964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9a20d2f-98bc-43c5-a0a9-b3c0a5aa41c2 · outbound

This paper cites Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead.

Learning Epidemiological Dynamics via the Finite Expression Method Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.620629Z

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.

Observation 40e7afb2-14bd-474d-8546-a714eda30ea5 · outbound

This paper cites Distilling free-form natural laws from experimental data.

Learning Epidemiological Dynamics via the Finite Expression Method Distilling free-form natural laws from experimental data

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.101463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 134f21dc-b06f-4f8e-8505-a92e4a378ce3 · outbound

This paper cites Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method.

Learning Epidemiological Dynamics via the Finite Expression Method Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.107177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bf86554-61f0-4c4b-89a1-8eb4634220ed · outbound

This paper cites Finite expression method for learning dynamics on complex networks.

Learning Epidemiological Dynamics via the Finite Expression Method Finite expression method for learning dynamics on complex networks

Reference 29

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:08:15.288908Z

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.

Observation 2b1e2e3a-b016-4d83-9d27-76d3cd033f4d · outbound

This paper cites Reinforcement learning: An introduction.

Learning Epidemiological Dynamics via the Finite Expression Method Reinforcement learning: An introduction

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:15.119231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9718b28f-c2f6-402f-b264-d837ca2b7016 · outbound

This paper cites Proceedings of the national academy of sciences.

Learning Epidemiological Dynamics via the Finite Expression Method Proceedings of the national academy of sciences

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.575464Z

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.

Observation 0db2dae8-6de8-40ad-978f-9fc15a377585 · outbound

This paper cites A comparison of greedy search algo- rithms.

Learning Epidemiological Dynamics via the Finite Expression Method A comparison of greedy search algo- rithms

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.555416Z

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.

Observation 5668a4d1-7b35-4e80-a3ec-29096b7b0db1 · outbound

This paper cites Frequency principle: Fourier analysis sheds light on deep neural networks.

Learning Epidemiological Dynamics via the Finite Expression Method Frequency principle: Fourier analysis sheds light on deep neural networks

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:15.536849Z

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.

Pith citing papers

No inbound Pith citation observations are available.