Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:43:22.439322Z
Paper Citation Record · LEDGER
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM
As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.00700.
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 2026-08-16T06:30:59.297886+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
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5aaf2088-de28-4c79-9948-9c36f6e0f7bb · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:23.274561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0342eb9f-8516-4047-8736-bd022bd3aeb1 · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:23.096998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fbb9d947-bd00-4788-948e-692406ba250a · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:23.175626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e51f7072-900a-4fdb-8d4c-fd152e6bbfb8 · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:23.362998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 963466fd-420e-47b8-b973-f3945f801973 · outbound
This paper cites small learning rate dilemma.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM small learning rate dilemma
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:23.342676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation be65fb01-931d-40d5-b8d5-ddc2834953a3 · outbound
This paper cites Besides the figures in main text, we have repeated experiments and show results as follows.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Besides the figures in main text, we have repeated experiments and show results as follows
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:23.322470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b5256ea-f896-4f98-812d-33218f1af16f · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:23.294666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 418484ea-8f8d-47f0-8fe3-8c66135330e2 · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:23.078499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 95b1d803-5af4-4a5c-bc71-3f68b94c1f48 · outbound
This paper cites With fixed L,σ,G,β 1, we have C1 =O(β2), C2 =O(dβ), C3 =O(dβ2).
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM With fixed L,σ,G,β 1, we have C1 =O(β2), C2 =O(dβ), C3 =O(dβ2)
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:23.055754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 54de26b7-62cc-48f7-9b69-3af6a0b8e669 · outbound
This paper cites By Jensen’s inequality, 1 T T∑ t=1 (f(xt)−f∗)≥f(¯xt)−f∗, where ¯xt = 1 T ∑T t=1xt.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM By Jensen’s inequality, 1 T T∑ t=1 (f(xt)−f∗)≥f(¯xt)−f∗, where ¯xt = 1 T ∑T t=1xt
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:23.012174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e944d485-d18f-4297-82e5-1248aa07e38a · outbound
This paper cites f(¯xt)−f∗≤ D2 2µ1 √ T + β2 1d(σ2 +G2) (1−β1)2µ1T √ T (µ2 2−µ2.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM f(¯xt)−f∗≤ D2 2µ1 √ T + β2 1d(σ2 +G2) (1−β1)2µ1T √ T (µ2 2−µ2
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:22.989752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8df3b6d7-c621-4655-b47c-c9e83e8b3689 · outbound
This paper cites 42 Remark 27 The leading item of convergence order of Adam should be O( ˜C√ T ), where ˜C = D2 2µ1 + µ2 2 µ1 (σ2 +G2) + β1d(σ2+G2) 2µ1(1−β1) (µ2 2−µ2.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM 42 Remark 27 The leading item of convergence order of Adam should be O( ˜C√ T ), where ˜C = D2 2µ1 + µ2 2 µ1 (σ2 +G2) + β1d(σ2+G2) 2µ1(1−β1) (µ2 2−µ2
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:22.966435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 608e165c-dacd-48cd-8630-623f0074dc8f · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:22.928083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8210dcf2-c3fc-41bd-93ff-44c07021f4f7 · outbound
This paper cites f(¯xt)−f∗≤ D2 2µ3 √ T + β2 1d(σ2 +G2) (1−β1)2µ3T √ T (µ2 4−µ2.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM f(¯xt)−f∗≤ D2 2µ3 √ T + β2 1d(σ2 +G2) (1−β1)2µ3T √ T (µ2 4−µ2
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:22.868436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82fd7832-5332-4e68-b8fe-fcfcae8aaa1c · outbound
This paper cites For brevity, f(¯xt)−f∗ =O( 1√ T ).
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM For brevity, f(¯xt)−f∗ =O( 1√ T )
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:22.735074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4fe05962-6b5d-45b7-9f3f-27ec2e0e46c6 · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:22.677674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b654323-6b9b-4c27-b712-d50fc0d93ac3 · outbound
This paper cites an unresolved cited work.
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:43:22.652059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9b0abe13-6aed-49ba-a102-9d02fd4992c7 · outbound
This paper cites Set η =O( 1 T 2 ), E[f(xT +1)−f∗]≤ (1− 2λµ3 T 2 )TE[f(x1)−f∗] +O( 1 T ).
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM Set η =O( 1 T 2 ), E[f(xT +1)−f∗]≤ (1− 2λµ3 T 2 )TE[f(x1)−f∗] +O( 1 T )
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:22.552564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 61af7f28-a734-4c6f-ba88-84f5487363b8 · outbound
This paper cites 38 Remark 26 The leading item from the above convergence is C1/ √ T , β plays an essential role in the complexity, and a more accurate convergence should be O(βlog (1+eβ )√ T ).
Calibrating the Adaptive Learning Rate to Improve Convergence of ADAM 38 Remark 26 The leading item from the above convergence is C1/ √ T , β plays an essential role in the complexity, and a more accurate convergence should be O(βlog (1+eβ )√ T )
Reference 2013
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:43:23.036490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.