Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T18:58:58.544962Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2411.11238.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T18:58:58.544962Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
15 of 15 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation bb31dc44-de79-4415-8236-06f69a6f2aef · outbound
Reliable Learning of Halfspaces under Gaussian Marginals If so, return the +1 constant hypothesis
Reference 1
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 38e38817-16ff-49d3-b8b5-cc7cea1b2dd1 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals By Step 1, the sampling efficiency here is Ω( ǫ) with high probability
Reference 2
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 b624d180-9952-4653-a411-728fa983d9b1 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals 18 Let f (x) = sign( ⟨w∗, x⟩ −t∗) be the optimal hypothesis
Reference 3
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 7bf0b044-b907-4cec-94de-4b1d7a9e69dc · outbound
Reliable Learning of Halfspaces under Gaussian Marginals If the output hypothesis h satisfies R+(h; D) ≤ ǫ with a sufficiently small constant failure probability, then output h and terminate
Reference 4
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 54769f22-0fb1-40f6-b284-090793f15012 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals If the output hypothesis h satisfies R+(h; D) ≤ ǫ with a sufficiently small constant failure probability, then output h and terminate
Reference 5
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 71560c36-41c1-4a63-8c51-25e73ccc254b · outbound
Reliable Learning of Halfspaces under Gaussian Marginals sign(p(z)) = sign( z − b)
Reference 6
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 5fdb4d27-41e9-4678-bc2b-8573ccc4e22a · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Unresolved cited work
Reference 7
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 b91696d8-cf71-4ce3-bdfd-a3ca7378c9e4 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Let S be a set of N = dc2max(t∗ 2,1) log(1/δ)/ǫ2 many samples from D
Reference 8
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 a7725f20-67d8-4fe0-a492-5d32129f636a · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Let V be the union of all Vm and output v to be a random unit vector chosen from V
Reference 9
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 6471fbd5-2378-4a7a-ba17-8d0c5ef00785 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Unresolved cited work
Reference 10
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 c896e5d9-f6bc-4956-8cbb-38315fb8f192 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Then the same argument will give ⟨v, w∗⟩ = ǫO(1)
Reference 11
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 1f5ec445-8331-485f-9afd-fa85c325e96e · outbound
Reliable Learning of Halfspaces under Gaussian Marginals If so, return the +1 constant hypothesis
Reference 12
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 0cfec337-8e1b-4257-98b6-b3d306e24ee0 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Let the update step size λ = ζ and repeat the following process until λ ≤ ǫ/100
Reference 13
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 80f13cf5-e851-4910-bd4e-fd6a0a2e9d4d · outbound
Reliable Learning of Halfspaces under Gaussian Marginals If so, add it to the set S
Reference 14
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 a6649229-2f68-4a4e-8802-ce0eeee7a7b6 · outbound
Reliable Learning of Halfspaces under Gaussian Marginals Return the hypothesis h(x) = sign( ⟨w, x⟩ − t), where (w, t) = argmin (w,t)∈S t
Reference 15
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.
No inbound Pith citation observations are available.