Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:51:26.444933Z
Paper Citation Record · LEDGER
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE
As of 17 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.10426.
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
10 of 10 outbound references displayed
- verified exact2
- verified fuzzy6
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7595b69a-c089-40f2-858a-20d889c32bf4 · outbound
This paper cites Explicit Stabilised Gradient Descent for Faster Strongly Convex Optimisation.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Explicit Stabilised Gradient Descent for Faster Strongly Convex Optimisation
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:51:26.523274Z
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 a2154d14-c696-415c-b17a-a226c968c7c2 · outbound
This paper cites Stiffness of odes.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Stiffness of odes
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:51:26.619892Z
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 e963bd8e-c28d-42c7-a160-aa389d3f4634 · outbound
This paper cites A method for solving convex programming problems with convergence rate o(1/k2).
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE A method for solving convex programming problems with convergence rate o(1/k2)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:51:26.605354Z
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 9669d43c-8b0a-400b-9f62-b59e960a8c3b · outbound
This paper cites Accelerating the cubic regularization of newton’s method on convex problems.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Accelerating the cubic regularization of newton’s method on convex problems
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:51:26.417376Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99b31ac2-6670-43c8-b050-417297560805 · outbound
This paper cites Understanding the Acceleration Phenomenon via High-Resolution Differential Equations.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Understanding the Acceleration Phenomenon via High-Resolution Differential Equations
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:51:26.421704Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bae4693e-12f4-4623-9c40-21e3f4d6ce90 · outbound
This paper cites Acceleration via Symplectic Discretization of High-Resolution Differential Equations.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Acceleration via Symplectic Discretization of High-Resolution Differential Equations
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:51:26.485877Z
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 d770d0fd-8051-4434-a729-aecb54feeed2 · outbound
This paper cites A differential equation for modeling nesterov’s accelerated gradient method: Theory and insights.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE A differential equation for modeling nesterov’s accelerated gradient method: Theory and insights
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:51:26.581883Z
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 ba8a7d87-e636-42d6-9f2e-f50012805bc9 · outbound
This paper cites Wilson, and Michael I.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Wilson, and Michael I
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:51:26.567609Z
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 4089c4d7-f0ab-4fd5-899e-dcc794c1d195 · outbound
This paper cites Direct runge-kutta discretization achieves acceleration.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Direct runge-kutta discretization achieves acceleration
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:51:26.552305Z
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 cf41b3c4-0e65-4428-b12a-b6cd6e43558c · outbound
This paper cites We have 0 = det(M∞−λI) = lim k→∞ det ( 1− p k−λ p k −Cpϵ(k + 1)p−1(k−p k )A 1−Cpϵ(k + 1)p−1(p k)A−λ ) =λ2 +λ(Cp2ϵA− 2) + 1 =λ2 +λ(4CϵA− 2) + 1.
On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE We have 0 = det(M∞−λI) = lim k→∞ det ( 1− p k−λ p k −Cpϵ(k + 1)p−1(k−p k )A 1−Cpϵ(k + 1)p−1(p k)A−λ ) =λ2 +λ(Cp2ϵA− 2) + 1 =λ2 +λ(4CϵA− 2) + 1
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:51:26.538189Z
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.