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Paper Citation Record · LEDGER

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge

As of 23 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2508.17288.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.17288 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:16:59.185567Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21e500f8-4131-4553-9f4c-8c872d85494e · outbound

This paper cites SANIA: Polyak-type Optimization Framework Leads to Scale Invariant Stochastic Algorithms.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge SANIA: Polyak-type Optimization Framework Leads to Scale Invariant Stochastic Algorithms

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:59.145097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:59.145097Z digest=sha256:6b579dfec87c0f7666b4b22e063f2bbd4abf4fc30a985c64c2279ffed13295d2

Observation f8857d48-a2fb-4254-9c28-a875520e6653 · outbound

This paper cites MoMo: Momentum Models for Adaptive Learning Rates.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge MoMo: Momentum Models for Adaptive Learning Rates

Reference 1969

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:59.185567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:59.185567Z digest=sha256:c9b54473a88c70d07a27ac4c5a71b5501b64cfb2f04a0facb2a84af099c4ad0a

Observation 4cd37360-f9b9-4467-9dd1-20d1074e2544 · outbound

This paper cites SARAH: a novel method for machine learning problems using stochastic recursive gradient.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge SARAH: a novel method for machine learning problems using stochastic recursive gradient

Reference 2001

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:16:59.289987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T17:16:59.181888Z digest=sha256:e98fefe39eb75b5f620f8be5ec12ae2deab75577647148e0ff266a0a8b603eb3

Observation b272cc98-030d-462d-8609-7f695b3976b6 · outbound

This paper cites Remove that Square Root: A New Efficient Scale-Invariant Version of AdaGrad.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge Remove that Square Root: A New Efficient Scale-Invariant Version of AdaGrad

Reference 2011

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T17:16:59.269843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T17:16:59.153695Z digest=sha256:59bac33a947ca897a2b583d1b7b3d7a69a7eece278ad37f5094025215883736e

Observation 73479cd1-5da0-4eff-889b-74185d6a43ba · outbound

This paper cites Adaptive Learning Rates for Faster Stochastic Gradient Methods.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge Adaptive Learning Rates for Faster Stochastic Gradient Methods

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:59.168255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:59.168255Z digest=sha256:590440331c923de34421580439514d93ec542cf04737158450fe8ceb2b987113

Observation f909ae24-62ce-4caf-a34c-3834df48234a · outbound

This paper cites Aleksandr Beznosikov and Martin Takáˇc.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge Aleksandr Beznosikov and Martin Takáˇc

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:16:59.311969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T17:16:59.149852Z digest=sha256:69edc4c2b8683cfad4ad45ee2e2484f58b9464bde3348f8078962541606e3e97

Observation a1d4dd46-052a-4550-a214-f0858022f07f · outbound

This paper cites Prodigy: An Expeditiously Adaptive Parameter-Free Learner.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge Prodigy: An Expeditiously Adaptive Parameter-Free Learner

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:59.177735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:59.177735Z digest=sha256:1d944bd472ae5c354f2be46847f4a3107cfaaea1528f06328735ab17d6ffbb67

Observation c50d1f44-5958-4621-8c9c-f70daea224e0 · outbound

This paper cites Cutting Some Slack for SGD with Adaptive Polyak Stepsizes.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge Cutting Some Slack for SGD with Adaptive Polyak Stepsizes

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:59.158704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:59.158704Z digest=sha256:127ed31e9fd8cfa2b9658f7f279d682257eaddc768d4aa372cc09ad69a263a07

Observation cfa78fd4-e21f-46aa-973a-e036e98018a4 · outbound

This paper cites SP2: A second order stochastic polyak method.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge SP2: A second order stochastic polyak method

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:16:59.301045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T17:16:59.173239Z digest=sha256:5ed34000457877e292b0fc152b5fcd4761f76c590e240cbf1842528b30003845

Observation 7c58ed40-e93e-47e1-a86e-b62131b8c4c3 · outbound

This paper cites Revisiting the Polyak step size.

Polyak Stepsize: Estimating Optimal Functional Values Without Parameters or Prior Knowledge Revisiting the Polyak step size

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-15T17:16:59.163782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:16:59.163782Z digest=sha256:2c136920380f871b9e203148a9c69bbfd6b55ef619a24179ed572553a97b0dca

Pith citing papers

No inbound Pith citation observations are available.