Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:53:09.378678Z
Paper Citation Record · LEDGER
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization
As of 17 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2505.11748.
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
14 of 14 outbound references displayed
- verified exact2
- verified fuzzy2
- unresolved9
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4adddfbd-8fae-47c4-8861-e3742193f1de · outbound
This paper cites Deep Learning using Rectified Linear Units (ReLU).
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Deep Learning using Rectified Linear Units (ReLU)
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:53:09.330394Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18df92ea-756f-4483-ae51-63a18ecfb55c · outbound
This paper cites an unresolved cited work.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:53:09.540074Z
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 cb2550d9-c84c-4cf8-acb7-dd75637a65d3 · outbound
This paper cites an unresolved cited work.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:53:09.508670Z
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 246a4a53-b86f-4df4-8c10-5a548f7ea767 · outbound
This paper cites 16 Proof: ConsideringR applying on finite-dimensional space: R· x1 x2.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization 16 Proof: ConsideringR applying on finite-dimensional space: R· x1 x2
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:53:09.498609Z
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 bde9ace9-cfc5-4238-8249-f419433efd12 · outbound
This paper cites The results, observed within iterations 1 to 2000, are illustrated in Figure.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization The results, observed within iterations 1 to 2000, are illustrated in Figure
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:53:09.489159Z
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 77847b44-125b-46ba-b831-7bff179b8b1f · outbound
This paper cites On the Convergence of Adam and Beyond.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization On the Convergence of Adam and Beyond
Reference 2011
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:53:09.350294Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2839e5cc-70fa-4cc2-b47f-6986129093c5 · outbound
This paper cites STORM+: Fully Adaptive SGD with Momentum for Nonconvex Optimization.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization STORM+: Fully Adaptive SGD with Momentum for Nonconvex Optimization
Reference 2014
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T20:53:09.458759Z
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 be87f5c5-a99b-49e1-8eeb-8edae3a07e0f · outbound
This paper cites Making Gradient Descent Optimal for Strongly Convex Stochastic Optimization.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Making Gradient Descent Optimal for Strongly Convex Stochastic Optimization
Reference 2015
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:53:09.346831Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e15d7ca5-c555-491c-80c4-9d79071efe64 · outbound
This paper cites an unresolved cited work.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Unresolved cited work
Reference 2018
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:53:09.528427Z
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 62e47c27-4cca-4d67-be1f-aacaba3e3abc · outbound
This paper cites Next, inferring from Definition 2.3, ˆSt is bounded.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Next, inferring from Definition 2.3, ˆSt is bounded
Reference 2019
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-15T20:53:09.518406Z
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 fed040f3-a185-46a6-ab84-1c27a125a85d · outbound
This paper cites SADAM: Stochastic Adam, A Stochastic Operator for First-Order Gradient-based Optimizer.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization SADAM: Stochastic Adam, A Stochastic Operator for First-Order Gradient-based Optimizer
Reference 2020
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T20:53:09.414408Z
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 aa6dabb5-99e4-46bf-a99e-b33f9abe5d50 · outbound
This paper cites Time Series Data Augmentation for Deep Learning: A Survey.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Time Series Data Augmentation for Deep Learning: A Survey
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:53:09.359622Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 701c6a85-1081-463d-a50c-0203d4dad2aa · outbound
This paper cites an unresolved cited work.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Unresolved cited work
Reference 2022
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:53:09.551138Z
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 51501120-7968-43d5-a7d3-17632d31b9a9 · outbound
This paper cites Adam: A Method for Stochastic Optimization.
HOME-3: High-Order Momentum Estimator with Third-Power Gradient for Convex and Smooth Nonconvex Optimization Adam: A Method for Stochastic Optimization
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:53:09.339540Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.