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Paper Citation Record · LEDGER

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation

As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2506.02790.

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

pith.paper-citation-record.v1
2506.02790 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:19:21.196647Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b367179-c253-42f3-ba28-7c88a8cb9270 · outbound

This paper cites The instrumental variable (IV) method, a classic approach to causal identification, plays a crucial role in addressing endogeneity issues.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation The instrumental variable (IV) method, a classic approach to causal identification, plays a crucial role in addressing endogeneity issues

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:19:23.333318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.247355Z digest=sha256:1f60cde175fd2eed8d5945777d2d663dfe1cc13067cc2a70be2fde39be927048

Observation 9b59ef18-bbcb-43b1-80c9-b269869a7b3a · outbound

This paper cites The instrumental variable (IV) method, a key tool for addressing endogeneity issues, still faces challenges in high-dimensional and complex data environments.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation The instrumental variable (IV) method, a key tool for addressing endogeneity issues, still faces challenges in high-dimensional and complex data environments

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:19:23.042725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.307769Z digest=sha256:3f70681c23d7013d95fe8a36b212cd60c2eda24728d9810ce2d33338a793db5f

Observation 80ce5b64-cf7f-45eb-aa86-60f3dcec2dab · outbound

This paper cites an unresolved cited work.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:19:22.846895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.410656Z digest=sha256:1020a4b6ce116a3f0a87afe61cc11349585bf03063b70d5abd680eed32ed22c4

Observation 6837fd53-1d68-43ef-b085-c2ec2f0b297a · outbound

This paper cites In the last 50 rounds, orthogonal constraint terms are gradually introduced to ensure stable optimisation and avoid excessive intervention in the learning process.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation In the last 50 rounds, orthogonal constraint terms are gradually introduced to ensure stable optimisation and avoid excessive intervention in the learning process

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:19:22.577865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.534020Z digest=sha256:bb7582c0754f830851afd3e9c5d773dbe422a6e02b9d26e789f5d570aaac6dd1

Observation 4089715b-feb9-47fe-8a95-1f1f6c860139 · outbound

This paper cites Epoch {epoch+1}/{epochs}, Loss: {loss.item():.6f}, MSE: {mse_loss.item():.6f}.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation Epoch {epoch+1}/{epochs}, Loss: {loss.item():.6f}, MSE: {mse_loss.item():.6f}

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:19:22.355420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.669036Z digest=sha256:1c2e46ec2fbcbab8b56da37f102ddabe23d0380dcdb1780203d31075634764b9

Observation 0bf07023-b3b4-40bd-9762-9c944fc92790 · outbound

This paper cites an unresolved cited work.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:19:22.096867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.817359Z digest=sha256:55d3048a9a957bc673dcdc53dcf8c6bedeb7abdf5b9061a511ad31611e046ba5

Observation 0395864a-6b0d-4d13-9eed-b543e6b4a6f9 · outbound

This paper cites an unresolved cited work.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:19:21.819637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:20.981643Z digest=sha256:3ddbb1c29b0fb146ffec183dd84dec45bb0da87cdcb9477046fd18e6ddb7feca

Observation 4711cda9-5349-4a04-93cf-93077686837d · outbound

This paper cites These methods have opened new technical avenues for high-dimensional causal inference, addressing many modelling challenges in real-world data.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation These methods have opened new technical avenues for high-dimensional causal inference, addressing many modelling challenges in real-world data

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:19:21.619768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:21.112715Z digest=sha256:d204f6303e40869842637148c7b358a39e1b63e8d732c85f397e9cdb19fb41e4

Observation 2ccc23f9-b556-41ab-8fb4-6488df503305 · outbound

This paper cites This section proposes potential future optimisation paths to further enhance the method's impact in both theoretical research and practical applications.

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation This section proposes potential future optimisation paths to further enhance the method's impact in both theoretical research and practical applications

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T11:19:21.377780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:19:21.196647Z digest=sha256:edb2fd7224f6a7aad399c701ac5e1425f5a0bb8bce8d90f0a7fea4bb4d6a4634

Pith citing papers

No inbound Pith citation observations are available.