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Paper Citation Record · LEDGER

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension

As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2506.16704.

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

pith.paper-citation-record.v1
2506.16704 v3

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:31:22.132607Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

40 of 40 outbound references displayed

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  • verified fuzzy24
  • unresolved15
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f7d5a0a-4924-483e-9ddb-67b7c6474d5a · outbound

This paper cites Metalearning with very few samples per task.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Metalearning with very few samples per task

Reference 1

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 77b0b6fb-6342-479b-a694-b6f8507eb733 · outbound

This paper cites A theory of PAC learnability of partial concept classes.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension A theory of PAC learnability of partial concept classes

Reference 2

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0d39e71f-40f0-4be9-bf21-f7b557d47547 · outbound

This paper cites On the ERM Principle in Meta-Learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension On the ERM Principle in Meta-Learning

Reference 3

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verified exact
local_arxiv, observed 2026-08-15T19:31:22.349179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 65661944-112f-48df-95e1-1a027140c33b · outbound

This paper cites Invariant Risk Minimization.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Invariant Risk Minimization

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:21.989693Z digest=sha256:cbde940488e7b98325938c27d8678ff8989b70169904573b0d4ce768ddb68e2c

Observation cd9d9140-cd61-4a93-8d5d-3c00dfbf5421 · outbound

This paper cites Open problem: The sample complexity of multi-distribution learning for VC classes.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Open problem: The sample complexity of multi-distribution learning for VC classes

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:21.994204Z digest=sha256:c8113c334f2468f49c54220acf94e8ba9bb9a8af4af6b19d14eda04f65602f3a

Observation 0361c702-9847-45e8-9af4-c22e48e0b738 · outbound

This paper cites A theory of learning from different domains.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension A theory of learning from different domains

Reference 6

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:21.998403Z digest=sha256:74cc167c00b59f7793f25811bd22c02a27aa658607f222f6570e3405c36f8fd7

Observation 21063f15-7458-43eb-81b9-f296a0c8d565 · outbound

This paper cites Generalizing from several related classification tasks to a new unlabeled sample.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Generalizing from several related classification tasks to a new unlabeled sample

Reference 7

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.002978Z digest=sha256:f7505c711e92ae945a3a20e71ecb24052044d97738f6454d0ae8dd1431fea670

Observation 57cf13d5-5cb9-4d30-81ca-875759fde0d9 · outbound

This paper cites Collaborative PAC learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Collaborative PAC learning

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.632066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.006754Z digest=sha256:8a21476a051ffcccc874918c2e3c36c211036417de20a2938ffdec52f2de1945

Observation bce4101e-1333-4f97-8255-5f3f23dfe905 · outbound

This paper cites Tight bounds for collaborative PAC learning via multiplicative weights.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Tight bounds for collaborative PAC learning via multiplicative weights

Reference 9

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.010497Z digest=sha256:c5aa3b049ff6446c512fcc0081a43a11eef27e6de71d9e05e18ffe29e098bd85

Observation 89e27808-0a2c-4db2-82f2-e11a4cadead8 · outbound

This paper cites Exploiting shared representations for personalized federated learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Exploiting shared representations for personalized federated learning

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c8a69c7b-e79d-4982-9547-40c78cd7611a · outbound

This paper cites Representation via Representations: Domain Generalization via Adversarially Learned Invariant Representations.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Representation via Representations: Domain Generalization via Adversarially Learned Invariant Representations

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.019061Z digest=sha256:262695c1acdf6da793ead5ac7103961a297c010b9168182a36a8b8594853026b

Observation bdd8d86f-27d2-4a19-be66-5d5d50d53cad · outbound

This paper cites Kakade, Jason D.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Kakade, Jason D

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.023490Z digest=sha256:f5a546b90ff3dc50f6996ea388b595aa3d14147c9e20e20333c994e4e2ea1f45

Observation d2edec32-a037-42f2-8a7e-ffa341816094 · outbound

This paper cites Subspace recovery from heterogeneous data with non-isotropic noise.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Subspace recovery from heterogeneous data with non-isotropic noise

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.027746Z digest=sha256:4ca82993c150c1f6c2a3a32cc7cdb8a2226b2dc1df1600897319b147706f7ac3

Observation a3bb2290-e7e6-4404-93b5-83b24b4143a0 · outbound

This paper cites Learn to expect the unexpected: Probably approximately correct domain generalization.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Learn to expect the unexpected: Probably approximately correct domain generalization

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.031728Z digest=sha256:5094f4ad0d38953e205fccea6ede582b6a79cecf3cc904f792856beba0be0bd2

Observation e2ba0f1b-db3a-4da3-bd1e-fb76e15ce423 · outbound

This paper cites On-demand sampling: Learning optimally from multiple distributions.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension On-demand sampling: Learning optimally from multiple distributions

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 357bd556-7550-430f-93b2-28a81ed7ba49 · outbound

This paper cites Comparative Learning: A Sample Complexity Theory for Two Hypothesis Classes.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Comparative Learning: A Sample Complexity Theory for Two Hypothesis Classes

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.040031Z digest=sha256:c422d86b6754d3e053f41bd81d0ea256b2328c874189d7c1adb1f827c9d5f9ff

Observation 387de4bc-b585-4d04-942f-8eb7be5e08f0 · outbound

This paper cites Metric entropy duality and the sample complexity of outcome indistinguishability.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Metric entropy duality and the sample complexity of outcome indistinguishability

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a762da6a-da8e-45ea-9ff5-387b5b73d716 · outbound

This paper cites Efficient distribution-free learning of probabilistic concepts.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Efficient distribution-free learning of probabilistic concepts

Reference 18

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no resolver link, observed 2026-08-15T19:31:22.047431Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.047431Z digest=sha256:9e41ec635620013be70749cd465ea34f94420058116d3fb5e645655367ed8786

Observation 5d47a670-8e73-4a6e-97fe-fb440f639f3a · outbound

This paper cites Universal adaptability: Target-independent inference that competes with propensity scoring.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Universal adaptability: Target-independent inference that competes with propensity scoring

Reference 19

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-15T19:31:22.051004Z digest=sha256:a59fba4da698d7b12fbc2addd171b28fcbac7fbd82efd358e16e48cf41467ff8

Observation bc965cde-47d2-4d6a-848a-3ded635f8d49 · outbound

This paper cites Meta-learning for mixed linear regression.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Meta-learning for mixed linear regression

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0892ee3e-5474-4206-b841-f137696f464e · outbound

This paper cites Derandomizing multi-distribution learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Derandomizing multi-distribution learning

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 731e54f0-ef78-42a4-ac69-0bf805464f2f · outbound

This paper cites Learning adversarially fair and transferable representations.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Learning adversarially fair and transferable representations

Reference 22

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation fd5e296b-b52c-465e-8004-53466dfe4bb6 · outbound

This paper cites The benefit of multitask representation learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension The benefit of multitask representation learning

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.491347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.066907Z digest=sha256:72b6d49eccc5fba5cc0fbf81feec2f58618affdab10112a1240a06c742945f64

Observation 0f77eb8a-e673-4a48-a3e2-dde93f4cfc4b · outbound

This paper cites Agnostic federated learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Agnostic federated learning

Reference 24

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.070383Z digest=sha256:b18637d7a9191c300f5b777116c601cd2823c7964685fde4183bfa8ffe2e8caf

Observation 2773172b-ebac-4e85-a691-980c0e3059ea · outbound

This paper cites Transformation-invariant learning and theoretical guarantees for OOD generalization.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Transformation-invariant learning and theoretical guarantees for OOD generalization

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.468617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.074580Z digest=sha256:707e6bbfeb0845cda7ed5d788b91276af93d40045f82988d96a6c3db21fabf27

Observation e0780a8e-efed-47f0-bf5d-89353d4d2962 · outbound

This paper cites Domain generalization via invariant feature representation.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Domain generalization via invariant feature representation

Reference 26

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no resolver link, observed 2026-08-15T19:31:22.078446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.078446Z digest=sha256:562a1486d504ef0e8e40bbf52b08889a82809baffbacd7d0a11e941a3c18e641

Observation fe304e84-260b-4383-b51a-cf804ac6c609 · outbound

This paper cites Improved algorithms for collaborative PAC learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Improved algorithms for collaborative PAC learning

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.450553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.082215Z digest=sha256:3f430b488e1f08508ddffe763904ee8f2572d93478d9b10ff89cd069b8c23080

Observation 5f10c8a6-e845-4c25-b71f-8a20887578e5 · outbound

This paper cites The sample complexity of multi-distribution learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension The sample complexity of multi-distribution learning

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.439410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.086185Z digest=sha256:ad3cb1cc880aee800897b9eae4fb9cf164e871bc2d9efa3aa5e29c0eef683b1d

Observation c6a894fc-6cd3-4510-b498-f6142a96fb72 · outbound

This paper cites On the density of families of sets.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension On the density of families of sets

Reference 29

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no resolver link, observed 2026-08-15T19:31:22.090117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.090117Z digest=sha256:f97a9836253bfb0453b3b6012b893caa1f0a9c9f032e576b86ceea26976e503f

Observation 34ee07c3-539b-42cb-af83-eefff348e40f · outbound

This paper cites A theory of PAC learnability under transformation invariances.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension A theory of PAC learnability under transformation invariances

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.428242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.094058Z digest=sha256:cf9db2645624caab3a415aa1d47514082f748626990b3669e1ba10e017fd1b48

Observation 52af4c10-34b3-4873-bf11-ffeb54e7e8da · outbound

This paper cites A combinatorial problem; stability and order for models and theories in infinitary languages.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension A combinatorial problem; stability and order for models and theories in infinitary languages

Reference 31

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unresolved
no resolver link, observed 2026-08-15T19:31:22.098324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.098324Z digest=sha256:226d3cc697c9c59b4ccd3d312cfa0b277503dd944e05bf3eca9964793d9e25d1

Observation f2212a25-6ac4-4e0c-b79d-11306ac29991 · outbound

This paper cites Sample Efficient Linear Meta-Learning by Alternating Minimization.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Sample Efficient Linear Meta-Learning by Alternating Minimization

Reference 32

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no resolver link, observed 2026-08-15T19:31:22.102631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.102631Z digest=sha256:58b2cc05152705139b5ca35dce546edf10cc3131d587652914ca2e5e1353c2ad

Observation c647a732-c254-4e80-b031-638e09f12ca6 · outbound

This paper cites On the theory of transfer learning: The importance of task diversity.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension On the theory of transfer learning: The importance of task diversity

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:31:22.410773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:31:22.106802Z digest=sha256:68711fcc881f7379e5159cd6d525b906ecacb408e5824f7194dd38463e9c53eb

Observation fe5b433d-cb95-4b7b-ae62-295c64392bc4 · outbound

This paper cites Provable meta-learning of linear representations.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Provable meta-learning of linear representations

Reference 34

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unresolved
no resolver link, observed 2026-08-15T19:31:22.110288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:31:22.110288Z digest=sha256:4a67d074ef1c499b9c9cd36d4ced1d4bc5ffbd062b7d59597b0a7c4c55f6b44f

Observation ab8048da-48ce-478e-9673-a617f10687b4 · outbound

This paper cites an unresolved cited work.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Unresolved cited work

Reference 35

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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This paper cites an unresolved cited work.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Unresolved cited work

Reference 36

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unresolved
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This paper cites High-dimensional probability: An introduction with applications in data science, volume 47.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension High-dimensional probability: An introduction with applications in data science, volume 47

Reference 37

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no resolver link, observed 2026-08-15T19:31:22.122304Z

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This paper cites Generalizing to unseen domains: A survey on domain generalization.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Generalizing to unseen domains: A survey on domain generalization

Reference 38

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 95c057ff-ded2-46d6-b04d-713b5d5cf6cc · outbound

This paper cites Optimal multi-distribution learning.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Optimal multi-distribution learning

Reference 39

Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7ebc65fe-a0a2-4c02-8085-c01f9f8f0e31 · outbound

This paper cites Domain generalization: A survey.

How Many Domains Suffice for Domain Generalization? A Tight Characterization via the Domain Shattering Dimension Domain generalization: A survey

Reference 40

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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