Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:35:15.809725Z
Paper Citation Record · LEDGER
Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning
As of 9 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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
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 2026-08-09T06:31:02.800959+00:00.
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.
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.
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.
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.
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 2026-08-09T06:31:02.800959+00:00.
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 2026-08-09T06:31:02.800959+00:00.
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 2026-08-09T06:31:02.800959+00:00.
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.
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.
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 2026-08-09T06:31:02.800959+00:00.
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 2026-08-09T06:31:02.800959+00:00.
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 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.