Pith. sign in

Paper Citation Record · LEDGER

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning

As of 14 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.05508.

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

pith.paper-citation-record.v1
2507.05508 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:35:15.809725Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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 exact0
  • verified fuzzy6
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fdd19bdc-73b6-4a7a-b02b-f8199f46c394 · outbound

This paper cites an unresolved cited work.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:35:16.334086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:15.629410Z digest=sha256:2e61dc2d685044e46a127afd6200e7b6fc7878919b131de5acc0cdeef551314c

Observation a31e98e1-287f-4f60-a5b5-0cdd689c7d0c · outbound

This paper cites Federated Optimization: Distributed Machine Learning for On-Device Intelligence.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning Federated Optimization: Distributed Machine Learning for On-Device Intelligence

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:15.249355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:15.249355Z digest=sha256:ce9d5bef6c4f25b3660eff3abbca522d58d59982db29b4cab391635560a6d203

Observation 9d4e5667-3ad4-45e2-b4c5-4edfee898bad · outbound

This paper cites Distributed Learning with Compressed Gradient Differences.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning Distributed Learning with Compressed Gradient Differences

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:15.337111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:15.337111Z digest=sha256:6d3bcf3cb8bfa74626681e46facdbb87ae05e0156f76eb590444e4bacc8f79b3

Observation 5a9fb2f5-c614-4460-9173-bf165094de05 · outbound

This paper cites GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:15.408085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:15.408085Z digest=sha256:a52342f986a8abcf01766bc0363588887265c59b9644ce769509b05994d868a4

Observation 01bb538a-bccc-4c5e-a20d-945250b145f2 · outbound

This paper cites A Field Guide to Federated Optimization.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning A Field Guide to Federated Optimization

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:15.489941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:15.489941Z digest=sha256:7f3d1904ae38cbe275aed5856893e04937b8f2358a0f612dda5b06d5f2f2575e

Observation 66dc3bcc-70cf-4192-adf7-f60c028f2283 · outbound

This paper cites (2023), nonconvex case): 1 T TX t=1 E ∥∇f (xt)∥2 ∈ O ∆1L αT + ∆1Lσ1/2 α1/2T 3/4 + ∆1Lσ√ M T (101) Let us consider our bounds in Eq.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning (2023), nonconvex case): 1 T TX t=1 E ∥∇f (xt)∥2 ∈ O ∆1L αT + ∆1Lσ1/2 α1/2T 3/4 + ∆1Lσ√ M T (101) Let us consider our bounds in Eq

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:35:16.188514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:15.708703Z digest=sha256:e3301783011bd1c7f6523f3c2860a8ebc5115ceabf1b4e2ef317be066cac1339

Observation baefb806-fc69-4015-9a35-ea6e6dd315e6 · outbound

This paper cites The proof follows very similarly to the one for the convex case.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning The proof follows very similarly to the one for the convex case

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:35:16.022191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:15.809725Z digest=sha256:5b39a3cfe4a1969709ada373f227e59f5e57e1317979fab7831f082e4099c3e7

Observation 97af8c16-bcfd-4333-92c4-b785e9f810a8 · outbound

This paper cites 1 (pl t,i)2 (∆l t,i)2 # (47) amd by writing the expectation w.r.t pl explicitly, we have: E[∥˜gt,i∥2] = LX l=1.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning 1 (pl t,i)2 (∆l t,i)2 # (47) amd by writing the expectation w.r.t pl explicitly, we have: E[∥˜gt,i∥2] = LX l=1

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:35:16.513489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:15.557161Z digest=sha256:05f46b836f2c703ed9db84f1a76b689a300529ffd59a95f9edc489741113a1e6

Observation c2078293-d6a0-440c-820a-837ce74930d0 · outbound

This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:14.765383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:14.765383Z digest=sha256:d65076abe8267c59ad04e354e9a1a95ec5638aa939becbe0851fdc9a7250031f

Observation 1e0bbb86-cd5a-447d-8553-60052f67dadf · outbound

This paper cites Stochastic Distributed Learning with Gradient Quantization and Variance Reduction.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning Stochastic Distributed Learning with Gradient Quantization and Variance Reduction

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:15.015767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:15.015767Z digest=sha256:b696a49ddc96ec00a385ca29f12de1926fcae7c18e766c7886579032778ef1e0

Observation a14271f9-654c-4f39-9cf2-80403eb1a4c4 · outbound

This paper cites Karimireddy, S.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning Karimireddy, S

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:35:16.671440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:15.118449Z digest=sha256:99a4fb5b94d21a4bce35c2943bdb3427b052b10c3acace51970ecb2d88033c71

Observation 2097dbd6-d6ae-425e-a7b4-a91d9ef7ebf4 · outbound

This paper cites Han, P., Wang, S., and Leung, K.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning Han, P., Wang, S., and Leung, K

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:35:16.847903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:14.899018Z digest=sha256:5d0fc8b4b3d892215d37d8228e269aaa7921da2d4fa22686e365bea29926573b

Observation 93909637-2a09-48dc-80f2-7a1f3e95fa10 · outbound

This paper cites A., and Van Essen, B.

Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning A., and Van Essen, B

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:35:17.015304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:35:14.828549Z digest=sha256:0462f9e6b72d01495431448e4fd7602210fb60b384548433358dab24a508e457

Pith citing papers

No inbound Pith citation observations are available.