Paper Citation Record · LEDGER

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2502.04495.

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

pith.paper-citation-record.v1
2502.04495 v2

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measured 20 of 20 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-08T22:40:00.638718Z

measured 20 of 20 standing notices

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measured 0 of 1 external citation measurements

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Reference resolution

20 of 20 outbound references displayed

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Outbound references

Observation a2abb06d-8bb3-43db-9f46-db3db3412a1c · outbound

This paper cites Although we constructed multi-environment datasets for ODE systems, extending this to PDEs is significantly more complex and requires domain-specific expertise.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Although we constructed multi-environment datasets for ODE systems, extending this to PDEs is significantly more complex and requires domain-specific expertise

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.945517Z

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Observation a0d7c53a-e569-4ca7-ba0f-7984524cbdee · outbound

This paper cites Scaling up to PDEs also introduces different training dynamics, which may necessitate additional techniques to stabilize and accelerate training.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Scaling up to PDEs also introduces different training dynamics, which may necessitate additional techniques to stabilize and accelerate training

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.931294Z

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Observation 36d3e0c1-147c-4dc4-8cb1-a16550b5d4b0 · outbound

This paper cites However, this approach does not extend naturally to PDE systems, which would require the development of new interpretability methods tailored to invariant function learning in PDEs.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning However, this approach does not extend naturally to PDE systems, which would require the development of new interpretability methods tailored to invariant function learning in PDEs

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.916800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2a835e83-c20f-4af0-a875-4c7848290d92 · outbound

This paper cites an unresolved cited work.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-08T22:40:00.789055Z

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Observation 3ff9f852-8bfc-43f6-a54c-495c8efd1b13 · outbound

This paper cites an unresolved cited work.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-08T22:40:00.773269Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a70a8840-f4e9-486d-9642-6d800650c58b · outbound

This paper cites fc is a random variable sampled from the structural causal model (SCM) (see Fig.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning fc is a random variable sampled from the structural causal model (SCM) (see Fig

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.903064Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8b297047-510c-4367-8b54-512f1ebf89da · outbound

This paper cites X ∈ Rd×T represents a single realization sampled from the matrix-shaped random variable X, i.e., one trajectory.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning X ∈ Rd×T represents a single realization sampled from the matrix-shaped random variable X, i.e., one trajectory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.888593Z

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Observation 7bfeeb1d-1467-41d2-927c-e33e822a7b97 · outbound

This paper cites Our notation follows ICLR standards.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Our notation follows ICLR standards

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.874446Z

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Observation efc8673a-f2c6-422d-ae9f-ef8d15da9039 · outbound

This paper cites A coefficient environment includes only a single function.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning A coefficient environment includes only a single function

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.860728Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2b27b57f-7d06-4a2c-be28-38bd4d693a59 · outbound

This paper cites Conversely, a function environment consists of multiple functions.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Conversely, a function environment consists of multiple functions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.846687Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d6de8f4d-11d3-42a0-9956-7f40f6e6eee6 · outbound

This paper cites an unresolved cited work.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-08T22:40:00.832423Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f2b83898-d8ad-42bb-8abe-b944e5c443fe · outbound

This paper cites an unresolved cited work.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-08T22:40:00.818494Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bbebacbc-6ed9-4c9a-b2cc-332d8fbc5791 · outbound

This paper cites To systematically evaluate invariant function learning, we construct multiple multi-environment ODE systems.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning To systematically evaluate invariant function learning, we construct multiple multi-environment ODE systems

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.804030Z

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Observation b39d6b14-955d-4ec5-a4a7-2a05490660d5 · outbound

This paper cites Extending this approach to PDE systems remains an open challenge.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Extending this approach to PDE systems remains an open challenge

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.757129Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3d957d30-3310-4877-a507-5ee9d1dfed85 · outbound

This paper cites (2022); Cranmer et al.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning (2022); Cranmer et al

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.741745Z

Source-reported events for the cited work

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Observation 138969ef-b16e-4335-8b6b-65f0aed70919 · outbound

This paper cites XdUET84RueFNcUp/YWX/VUBDXCU=.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning XdUET84RueFNcUp/YWX/VUBDXCU=

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.726318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation edd5418c-c801-45f1-b7f5-70d0fc9b30ae · outbound

This paper cites well performed across all environments.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning well performed across all environments

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T22:40:00.710642Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a7193667-1d61-49f2-93e5-c70824992dd4 · outbound

This paper cites HyperNetworks.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning HyperNetworks

Reference 1252

Resolution: unresolved; no resolver link, observed 2026-08-08T22:40:00.547849Z

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Observation 643fcace-6c8e-4a80-82d6-52ea766eeb8f · outbound

This paper cites Zero-shot Imputation with Foundation Inference Models for Dynamical Systems.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Zero-shot Imputation with Foundation Inference Models for Dynamical Systems

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-08T22:40:00.554001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02bd2fd8-6097-4191-9545-a3153b9f4beb · outbound

This paper cites an unresolved cited work.

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning Unresolved cited work

Reference 7702

Resolution: unresolved; raw_fallback, observed 2026-08-08T22:40:00.959771Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.