Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T08:35:43.391566Z
Paper Citation Record · LEDGER
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance
As of 23 July 2026, this Paper Citation Record lists 6 of 6 outbound references and 3 inbound Pith citation observations for arXiv:2604.16620.
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 2026-07-23T06:31:01.910684+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-19T16:38:44.673974Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-19T16:42:39.850422Z
Reference resolution
6 of 6 outbound references displayed
- verified exact0
- verified fuzzy5
- unresolved0
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d14d4d2c-2327-486e-b316-e5f3b0d47e95 · outbound
This paper cites (4) For allx∈R T , prog0(∇ ¯FT (x))≤ prog1/2(x) + 1.
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance (4) For allx∈R T , prog0(∇ ¯FT (x))≤ prog1/2(x) + 1
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T21:54:05.838690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 0b90dec8-11c9-47ba-acb1-e5f1d148ce87 · outbound
This paper cites To find the total oracle complexity, we need to estimate∥x t −x 0∥, which determines the batch sizeN t.
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance To find the total oracle complexity, we need to estimate∥x t −x 0∥, which determines the batch sizeN t
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T21:54:05.831387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation a67361a7-f372-407a-9ca8-03f6fd8fe947 · outbound
This paper cites To determine the expected total stochastic oracle complexity, recall (67) and discard the non- positive suboptimality term to boundE ∥xt+1 −x ∗∥2 ≤E ∥xt −x ∗∥2 +η 2σ2.
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance To determine the expected total stochastic oracle complexity, recall (67) and discard the non- positive suboptimality term to boundE ∥xt+1 −x ∗∥2 ≤E ∥xt −x ∗∥2 +η 2σ2
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T21:54:05.829610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 1d1b1feb-a7c0-4cb4-a797-07248f29be3a · outbound
This paper cites an unresolved cited work.
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance Unresolved cited work
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T21:54:05.835416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 0ed2d4ac-88d6-40b0-9f21-746f4fe43162 · outbound
This paper cites an unresolved cited work.
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance Unresolved cited work
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T21:54:05.837041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation fc661b4d-1f78-453e-8c63-ec5cfc678d0a · outbound
This paper cites an unresolved cited work.
Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance Unresolved cited work
Reference 6
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-20T21:54:05.833354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Pith citing papers
Observation d109f52f-6f48-4c99-a184-f429fb5038e2 · inbound
SGD for Variational Inference: Tackling Unbounded Variance via Preconditioning and Dynamic Batching cites this paper.
SGD for Variational Inference: Tackling Unbounded Variance via Preconditioning and Dynamic Batching Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T03:20:56.511217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation abd18fa0-192a-4bf3-a0d7-05fc34af2e1a · inbound
Beyond Bounded Variance: Variance-Reduced Normalized Methods for Nonconvex Optimization under Blum-Gladyshev Noise cites this paper.
Beyond Bounded Variance: Variance-Reduced Normalized Methods for Nonconvex Optimization under Blum-Gladyshev Noise Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-05-19T16:12:38.847731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation bd7d1b5f-0abd-45e6-b408-74505a1167c2 · inbound
Unified High-Probability Analysis of Stochastic Variance-Reduced Estimation cites this paper.
Unified High-Probability Analysis of Stochastic Variance-Reduced Estimation Lower Bounds and Proximally Anchored SGD for Non-Convex Minimization Under Unbounded Variance
Reference 45
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-19T16:42:39.851729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.