Pith. sign in

Paper Citation Record · LEDGER

Reliable Learning of Halfspaces under Gaussian Marginals

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.

pith.paper-citation-record.v1
2411.11238 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:58:58.544962Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved1
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb31dc44-de79-4415-8236-06f69a6f2aef · outbound

This paper cites If so, return the +1 constant hypothesis.

Reliable Learning of Halfspaces under Gaussian Marginals If so, return the +1 constant hypothesis

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.789144Z

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.

source=pdf_text observed=2026-08-12T18:58:58.477798Z digest=sha256:7944b796f4b4d66929d4b628cb3e28bf4bab46b5dd110fc3dd67bd6f2785f221

Observation 38e38817-16ff-49d3-b8b5-cc7cea1b2dd1 · outbound

This paper cites By Step 1, the sampling efficiency here is Ω( ǫ) with high probability.

Reliable Learning of Halfspaces under Gaussian Marginals By Step 1, the sampling efficiency here is Ω( ǫ) with high probability

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.774283Z

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.

source=pdf_text observed=2026-08-12T18:58:58.483141Z digest=sha256:1f1207998ad2ed36e7da49e7660dcc8d6a7ca733a8a58609d271d6118ec955cf

Observation b624d180-9952-4653-a411-728fa983d9b1 · outbound

This paper cites 18 Let f (x) = sign( ⟨w∗, x⟩ −t∗) be the optimal hypothesis.

Reliable Learning of Halfspaces under Gaussian Marginals 18 Let f (x) = sign( ⟨w∗, x⟩ −t∗) be the optimal hypothesis

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.760084Z

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.

source=pdf_text observed=2026-08-12T18:58:58.488164Z digest=sha256:8c6c36af01cd02b657c6c9820e7c7ebb08f1baa75b97da478b63626897f12bdf

Observation 7bf0b044-b907-4cec-94de-4b1d7a9e69dc · outbound

This paper cites If the output hypothesis h satisfies R+(h; D) ≤ ǫ with a sufficiently small constant failure probability, then output h and terminate.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.746248Z

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.

source=pdf_text observed=2026-08-12T18:58:58.493086Z digest=sha256:65eb760555d9680e322061a8cf621f3b35812d35b620ae9322408d7b33249c3e

Observation 54769f22-0fb1-40f6-b284-090793f15012 · outbound

This paper cites If the output hypothesis h satisfies R+(h; D) ≤ ǫ with a sufficiently small constant failure probability, then output h and terminate.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.731415Z

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.

source=pdf_text observed=2026-08-12T18:58:58.497862Z digest=sha256:e14272e9b1099589c91a2089241d55c5314d9c3cfac14b5ca34a50a09e2a5cfa

Observation 71560c36-41c1-4a63-8c51-25e73ccc254b · outbound

This paper cites sign(p(z)) = sign( z − b).

Reliable Learning of Halfspaces under Gaussian Marginals sign(p(z)) = sign( z − b)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.715926Z

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.

source=pdf_text observed=2026-08-12T18:58:58.502926Z digest=sha256:902d5daab7ffa02d30eb0ec23d025d4338f5403c1df9162ae13922d5593a0e11

Observation 5fdb4d27-41e9-4678-bc2b-8573ccc4e22a · outbound

This paper cites an unresolved cited work.

Reliable Learning of Halfspaces under Gaussian Marginals Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:58:58.701169Z

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.

source=pdf_text observed=2026-08-12T18:58:58.508005Z digest=sha256:6cbaf43987b337bf35eb6b5c95b5d158134cbaea1ed7b37939ed73485b27cec2

Observation b91696d8-cf71-4ce3-bdfd-a3ca7378c9e4 · outbound

This paper cites Let S be a set of N = dc2max(t∗ 2,1) log(1/δ)/ǫ2 many samples from D.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.686210Z

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.

source=pdf_text observed=2026-08-12T18:58:58.512904Z digest=sha256:24d36e9e771d6c0d6bdcdf9c7dc645e6666e60cd0cd0eb5ed6a10727a7772407

Observation a7725f20-67d8-4fe0-a492-5d32129f636a · outbound

This paper cites Let V be the union of all Vm and output v to be a random unit vector chosen from V.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.671566Z

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.

source=pdf_text observed=2026-08-12T18:58:58.517382Z digest=sha256:4498d6d6175c3e31bf0822eab20b37eff974de6f6daa1a6fc188ec357c3f73cd

Observation 6471fbd5-2378-4a7a-ba17-8d0c5ef00785 · outbound

This paper cites an unresolved cited work.

Reliable Learning of Halfspaces under Gaussian Marginals Unresolved cited work

Reference 10

Resolution
parse uncertain
raw_fallback, observed 2026-08-12T18:58:58.656498Z

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.

source=pdf_text observed=2026-08-12T18:58:58.521864Z digest=sha256:01ac47e069da14354cd2386de8aa8afaed8e78b90d6a8953da8f5847cd752d3a

Observation c896e5d9-f6bc-4956-8cbb-38315fb8f192 · outbound

This paper cites Then the same argument will give ⟨v, w∗⟩ = ǫO(1).

Reliable Learning of Halfspaces under Gaussian Marginals Then the same argument will give ⟨v, w∗⟩ = ǫO(1)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.641057Z

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.

source=pdf_text observed=2026-08-12T18:58:58.527569Z digest=sha256:3c1866b69c6ebbafa558135510f83531ef09637a41c7c46b6ffa05467fa44aa1

Observation 1f5ec445-8331-485f-9afd-fa85c325e96e · outbound

This paper cites If so, return the +1 constant hypothesis.

Reliable Learning of Halfspaces under Gaussian Marginals If so, return the +1 constant hypothesis

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.626533Z

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.

source=pdf_text observed=2026-08-12T18:58:58.531908Z digest=sha256:b232a6cc59e36e84b75a36b5234ed000f8d7ba9187e50bca790c69ac54a03b99

Observation 0cfec337-8e1b-4257-98b6-b3d306e24ee0 · outbound

This paper cites Let the update step size λ = ζ and repeat the following process until λ ≤ ǫ/100.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.611544Z

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.

source=pdf_text observed=2026-08-12T18:58:58.536269Z digest=sha256:8dfcb7a22e456f0e32e0bc7cd52483ad04bc747be94f3f532a1ede79ffe2033d

Observation 80f13cf5-e851-4910-bd4e-fd6a0a2e9d4d · outbound

This paper cites If so, add it to the set S.

Reliable Learning of Halfspaces under Gaussian Marginals If so, add it to the set S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.596708Z

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.

source=pdf_text observed=2026-08-12T18:58:58.540814Z digest=sha256:9cbe90a4aaf5443091ca3d3778d77279846e8af18f3dbdc90dd9ba3bc88f2f30

Observation a6649229-2f68-4a4e-8802-ce0eeee7a7b6 · outbound

This paper cites Return the hypothesis h(x) = sign( ⟨w, x⟩ − t), where (w, t) = argmin (w,t)∈S t.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:58:58.581843Z

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.

source=pdf_text observed=2026-08-12T18:58:58.544962Z digest=sha256:99dee9c7fd3e82f91bcfe092fdc125a2d2a2028507541aeb3d6c98741efb43bf

Pith citing papers

No inbound Pith citation observations are available.