Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T17:54:36.885677Z
Paper Citation Record · LEDGER
On best approximation by multivariate ridge functions with applications to generalized translation networks
As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2412.08453.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
35 of 35 outbound references displayed
- verified exact4
- verified fuzzy25
- unresolved6
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e4891f7b-cd3e-44b6-beae-f05d858430eb · outbound
This paper cites Nearly-tight VC-dimension and pseudodimension bounds for piecewise linear neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks Nearly-tight VC-dimension and pseudodimension bounds for piecewise linear neural networks
Reference 1
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ec1cc489-49a7-4ea3-9692-b415c7ceb6c8 · outbound
This paper cites A Survey of Complex-Valued Neural Networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks A Survey of Complex-Valued Neural Networks
Reference 2
- Resolution
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Source-reported events for the cited work
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Observation 9f71ef20-a1f0-4262-96c8-924a46e32fdd · outbound
This paper cites Ridgelets: estimating with ridge functions.
On best approximation by multivariate ridge functions with applications to generalized translation networks Ridgelets: estimating with ridge functions
Reference 3
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d4359feb-bc4b-4a43-a03a-2bbe3666b874 · outbound
This paper cites Dai and Y.
Reference 4
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 36e36010-5f5b-42e5-be43-270de05bac40 · outbound
This paper cites an unresolved cited work.
On best approximation by multivariate ridge functions with applications to generalized translation networks Unresolved cited work
Reference 5
- Resolution
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Source-reported events for the cited work
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Observation 60af9cb4-26bf-4f27-8a76-593275688834 · outbound
This paper cites an unresolved cited work.
On best approximation by multivariate ridge functions with applications to generalized translation networks Unresolved cited work
Reference 6
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4c7ae43a-96ab-4d33-ad4f-608d94c69ad0 · outbound
This paper cites Robust and resource efficient identification of shallow neural networks by fewest samples.
On best approximation by multivariate ridge functions with applications to generalized translation networks Robust and resource efficient identification of shallow neural networks by fewest samples
Reference 7
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8f6d4859-8207-488f-aaae-d7209d8720a6 · outbound
This paper cites Universal approximation with complex-valued deep narrow neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks Universal approximation with complex-valued deep narrow neural networks
Reference 8
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6ea9c7af-8185-4482-bc2b-4c5edfe6a069 · outbound
This paper cites Optimal approximation using complex-valued neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks Optimal approximation using complex-valued neural networks
Reference 9
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 12acef25-45b7-4838-8187-f817654d5180 · outbound
This paper cites On the best approximation by ridge functions in the uniform norm.
On best approximation by multivariate ridge functions with applications to generalized translation networks On the best approximation by ridge functions in the uniform norm
Reference 10
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 56790dd9-6b43-40a2-9aac-99d02b3f36e3 · outbound
This paper cites Ismailov.
Reference 11
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 40d6192b-d669-4564-af16-4b49bc572567 · outbound
This paper cites A review of some results on ridge function approximation.
On best approximation by multivariate ridge functions with applications to generalized translation networks A review of some results on ridge function approximation
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 2026-08-19T06:32:44.657259+00:00.
Observation c4818fb8-b406-4b8c-a54b-73e606b0c24f · outbound
This paper cites Kaup and B.
Reference 13
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac57a963-004e-4316-ae82-f7b20a5d7cca · outbound
This paper cites Complex-valued neural networks: A comprehensive survey.
On best approximation by multivariate ridge functions with applications to generalized translation networks Complex-valued neural networks: A comprehensive survey
Reference 14
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 606cff16-cf8b-4619-b769-024b54ce0ca8 · outbound
This paper cites Fundamentality of ridge functions.
On best approximation by multivariate ridge functions with applications to generalized translation networks Fundamentality of ridge functions
Reference 15
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ae05d60e-4445-4408-b7c0-6fbe0bf697a1 · outbound
This paper cites Luenberger.
Reference 16
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7c6c67d6-fb30-4974-b744-7a39e72b2af6 · outbound
This paper cites On Best Approximation by Ridge Functions.
On best approximation by multivariate ridge functions with applications to generalized translation networks On Best Approximation by Ridge Functions
Reference 17
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0cd6d1b5-f67e-43b1-8152-4997bef5b45e · outbound
This paper cites Best approximation by ridge functions inLp-spaces.
On best approximation by multivariate ridge functions with applications to generalized translation networks Best approximation by ridge functions inLp-spaces
Reference 18
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e7fce3ac-7807-44ec-a2de-e85b7f81890c · outbound
This paper cites Lower bounds for approximation by MLP neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks Lower bounds for approximation by MLP neural networks
Reference 19
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cf95b354-671c-4617-962c-8186c8b1e52b · outbound
This paper cites Onachoiceofsamplingnodesforoptimalapproximationofsmoothfunctions by generalized translation networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks Onachoiceofsamplingnodesforoptimalapproximationofsmoothfunctions by generalized translation networks
Reference 20
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 34ca1c6f-f1d5-4ad4-9f5a-b8880a67fa08 · outbound
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On best approximation by multivariate ridge functions with applications to generalized translation networks Neural networks for optimal approximation of smooth and analytic functions
Reference 21
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8199f0af-ff09-466c-bbb1-9fcd6f00751c · outbound
This paper cites Degree of approximation by neural and translation networks with a single hidden layer.
On best approximation by multivariate ridge functions with applications to generalized translation networks Degree of approximation by neural and translation networks with a single hidden layer
Reference 22
- Resolution
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Source-reported events for the cited work
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Observation 4c998892-8d80-4488-89ca-f11aaf0cb502 · outbound
This paper cites Easy proof of the Jacobian for then-dimensional polar coordinates.
On best approximation by multivariate ridge functions with applications to generalized translation networks Easy proof of the Jacobian for then-dimensional polar coordinates
Reference 23
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bb59d7ba-299b-420c-82f2-038a69c8d9c7 · outbound
This paper cites Optimal approximation of piecewise smooth functions using deep ReLU neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks Optimal approximation of piecewise smooth functions using deep ReLU neural networks
Reference 24
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ac0f303c-7b9c-43d5-8437-12f36a98199b · outbound
This paper cites Approximating by ridge functions.
On best approximation by multivariate ridge functions with applications to generalized translation networks Approximating by ridge functions
Reference 25
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2cd93cbb-9a50-463c-9b49-5b64f5b715e4 · outbound
This paper cites an unresolved cited work.
On best approximation by multivariate ridge functions with applications to generalized translation networks Unresolved cited work
Reference 26
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3034762b-d103-4258-aa1b-b7e16409188d · outbound
This paper cites Prudnikov, Y.
On best approximation by multivariate ridge functions with applications to generalized translation networks Prudnikov, Y
Reference 27
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9dee3b94-9e1a-4d01-8f4b-2bb1a88c60a1 · outbound
This paper cites Depth-width tradeoffs in approximating natural functions with neural net- works.
On best approximation by multivariate ridge functions with applications to generalized translation networks Depth-width tradeoffs in approximating natural functions with neural net- works
Reference 28
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d9f50546-8570-467b-8018-705a5ee368d5 · outbound
This paper cites Deep Network Approximation Characterized by Number of Neurons.
On best approximation by multivariate ridge functions with applications to generalized translation networks Deep Network Approximation Characterized by Number of Neurons
Reference 29
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1c910e0b-1be8-4658-b351-5008e82bf308 · outbound
This paper cites Optimal approximation rate of ReLU networks in terms of width and depth.
On best approximation by multivariate ridge functions with applications to generalized translation networks Optimal approximation rate of ReLU networks in terms of width and depth
Reference 30
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Source-reported events for the cited work
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Observation bfcff574-e835-4991-a1b5-f77993779f69 · outbound
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On best approximation by multivariate ridge functions with applications to generalized translation networks Benefits of depth in neural networks
Reference 31
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 809f45e8-372c-4e59-b9ad-bec4cf070cb2 · outbound
This paper cites Vershynin.
Reference 32
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f91c57c6-fc3c-4f67-bcb6-65c15526b078 · outbound
This paper cites The universal approximation theorem for complex-valued neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks The universal approximation theorem for complex-valued neural networks
Reference 33
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2ef89f7d-bba4-4a13-8176-7d15cb0621a4 · outbound
This paper cites The phase diagram of approximation rates for deep neural networks.
On best approximation by multivariate ridge functions with applications to generalized translation networks The phase diagram of approximation rates for deep neural networks
Reference 34
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 58cbfc6d-91a9-4c83-bcd2-8b6ba9205c95 · outbound
This paper cites Deep network approximation: Achieving arbitrary accuracy with fixed number of neurons.
On best approximation by multivariate ridge functions with applications to generalized translation networks Deep network approximation: Achieving arbitrary accuracy with fixed number of neurons
Reference 35
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.