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Paper Citation Record · LEDGER

Almost Tune-Free Variance Reduction

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.09345.

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

pith.paper-citation-record.v1
1908.09345 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:20:21.702645Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

13 of 13 outbound references displayed

  • verified exact3
  • verified fuzzy7
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 68f49808-3ef5-4966-b610-6adf2a5f6858 · outbound

This paper cites First, notice that 2ηL/(1 +κ)>µη =δ, which implies that 1−δ >1− [2ηL/(1 +κ)].

Almost Tune-Free Variance Reduction First, notice that 2ηL/(1 +κ)>µη =δ, which implies that 1−δ >1− [2ηL/(1 +κ)]

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.870955Z

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.

source=pdf_text observed=2026-08-14T11:20:21.693188Z digest=sha256:b4e0b141619026826e2b47e4101bb63e874516e8c0f492f2cf9f684c2a038ef3

Observation 42d4c875-7515-4da9-9d71-41a605698ab3 · outbound

This paper cites Don't Jump Through Hoops and Remove Those Loops: SVRG and Katyusha are Better Without the Outer Loop.

Almost Tune-Free Variance Reduction Don't Jump Through Hoops and Remove Those Loops: SVRG and Katyusha are Better Without the Outer Loop

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T11:20:21.657951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:20:21.657951Z digest=sha256:6dd1058b68519c8467c180009d229c81f1cb39829774c8b30799e07798e2a74c

Observation 85a33c75-6bb3-4b5b-92ea-5a49c862aa6c · outbound

This paper cites Proof of Theorem.

Almost Tune-Free Variance Reduction Proof of Theorem

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.884844Z

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.

source=pdf_text observed=2026-08-14T11:20:21.688248Z digest=sha256:c780bbf7cf4059cbd2fa7f603a41d35f7893db371325c1fd32ff8c1f3bbe6c36

Observation 693932a1-77c2-4c01-abae-bbc7e03630d9 · outbound

This paper cites In order to prove Theorem 2, we need to borrow the following result from [Nguyen et al., 2017].

Almost Tune-Free Variance Reduction In order to prove Theorem 2, we need to borrow the following result from [Nguyen et al., 2017]

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.898645Z

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.

source=pdf_text observed=2026-08-14T11:20:21.682909Z digest=sha256:600b86ea42c1eb132fabccf7623a27ffe5b505ea3326a096929353b857d33e14

Observation 03a32f0e-8764-40a5-99ec-48d22d22d054 · outbound

This paper cites Sinceηs influences convergence, we will useλs to denote the convergence rate of the inner loops, that is, E[f(˜xs)−f(x∗)]≤λsE[f(˜xs−1)−f(x∗)].

Almost Tune-Free Variance Reduction Sinceηs influences convergence, we will useλs to denote the convergence rate of the inner loops, that is, E[f(˜xs)−f(x∗)]≤λsE[f(˜xs−1)−f(x∗)]

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.856422Z

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.

source=pdf_text observed=2026-08-14T11:20:21.697904Z digest=sha256:8f2f63dee8b300c18cdd8dd05a349dd435440582478adca4d17ebff357e02b94

Observation f44f3725-b6b9-4e9a-83b3-189a9181a410 · outbound

This paper cites After a simple derivation, one can have the convergence rate λs = 2ηsL 2−ηsL + 2(1 +ηsL) ( 1− 2ηsL 1 +κ )m.

Almost Tune-Free Variance Reduction After a simple derivation, one can have the convergence rate λs = 2ηsL 2−ηsL + 2(1 +ηsL) ( 1− 2ηsL 1 +κ )m

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.842241Z

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.

source=pdf_text observed=2026-08-14T11:20:21.702645Z digest=sha256:1147875a0f93522070937c2ba0211098c0f1131bcf50d318b0f1b0e0b4d92dd8

Observation eeca0a32-9dab-4a93-9c43-d9550030fc8e · outbound

This paper cites Optimization Methods for Large-Scale Machine Learning.

Almost Tune-Free Variance Reduction Optimization Methods for Large-Scale Machine Learning

Reference 1988

Resolution
unresolved
no resolver link, observed 2026-08-14T11:20:21.642556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:20:21.642556Z digest=sha256:a19648d070cd6507c7a41b178af9b9ed39173ca1970018e8d1b7e1d582fedc86

Observation 15ee068a-3b1b-4fc5-a619-152229dc187c · outbound

This paper cites Semi-Stochastic Gradient Descent Methods.

Almost Tune-Free Variance Reduction Semi-Stochastic Gradient Descent Methods

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-14T11:20:21.653045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:20:21.653045Z digest=sha256:0c33aa8bae4b71c0407671ce690c3db2c1cd5721da49eb8ecfd7c157e25cba1e

Observation e8c6509b-e468-40aa-b012-3c0043642173 · outbound

This paper cites Accelerating Mini-batch SARAH by Step Size Rules.

Almost Tune-Free Variance Reduction Accelerating Mini-batch SARAH by Step Size Rules

Reference 2014

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:20:21.743819Z

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.

source=pdf_text observed=2026-08-14T11:20:21.677637Z digest=sha256:a7b1a9f93ff1d70ce1c2557a784cf69d866d1e608c73afb4ef46ca6ce2382a66

Observation 71c36195-9f64-44d0-a9fe-fe9dc5bb4d21 · outbound

This paper cites A class of stochastic variance reduced methods with an adaptive stepsize.

Almost Tune-Free Variance Reduction A class of stochastic variance reduced methods with an adaptive stepsize

Reference 2015

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.929113Z

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.

source=pdf_text observed=2026-08-14T11:20:21.668295Z digest=sha256:a6ddb454abc0099243727527be6843003efaf249eebe7bc10f401d6c54b85137

Observation d663f5b2-197d-4e93-839d-04d297d58173 · outbound

This paper cites A proximal stochastic gradient method with progressive variance reduction.

Almost Tune-Free Variance Reduction A proximal stochastic gradient method with progressive variance reduction

Reference 2016

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:21.913754Z

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.

source=pdf_text observed=2026-08-14T11:20:21.672819Z digest=sha256:ac9b715a91af41060451e6dab6815cda7584a7bf0423c8985226b35929af24d7

Observation ff47c4cf-daad-4106-991a-ce1b40e7d35a · outbound

This paper cites Adaptive Step Sizes in Variance Reduction via Regularization.

Almost Tune-Free Variance Reduction Adaptive Step Sizes in Variance Reduction via Regularization

Reference 2017

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:20:21.764470Z

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.

source=pdf_text observed=2026-08-14T11:20:21.663404Z digest=sha256:425451181dab3e32d91a93da36cb8abac69b36b6f5b8c7aff154c04098d28773

Observation d821f396-52d0-4b83-8fe0-03337cee2555 · outbound

This paper cites Dissipativity Theory for Accelerating Stochastic Variance Reduction: A Unified Analysis of SVRG and Katyusha Using Semidefinite Programs.

Almost Tune-Free Variance Reduction Dissipativity Theory for Accelerating Stochastic Variance Reduction: A Unified Analysis of SVRG and Katyusha Using Semidefinite Programs

Reference 2018

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:20:21.812942Z

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.

source=pdf_text observed=2026-08-14T11:20:21.647987Z digest=sha256:0c37883824793331940af5fa29ade46cc39dddc4ce050083daa124be81320562

Pith citing papers

No inbound Pith citation observations are available.