Paper Citation Record · LEDGER

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate

As of 6 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1907.01848.

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

pith.paper-citation-record.v1
1907.01848 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T10:24:33.527480Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 5c7c04cb-0a5c-4c08-99ff-a8458dce84e8 · outbound

This paper cites Diffusion learning in non-con vex envi- ronments.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Diffusion learning in non-con vex envi- ronments

Reference 1

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Observation 3a6b0f47-6eca-40e2-843d-878fe557a70e · outbound

This paper cites Distributed learning in non-c onvex envi- ronments – Part II: Polynomial escape from saddle-points.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Distributed learning in non-c onvex envi- ronments – Part II: Polynomial escape from saddle-points

Reference 2

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Observation 2733ebe6-011f-4307-9bd3-cc76ae057b18 · outbound

This paper cites Distributed subgradient meth ods for multi- agent optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Distributed subgradient meth ods for multi- agent optimization

Reference 3

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Observation dc1d96f3-6ed4-4d58-9aac-fd67a0b76efb · outbound

This paper cites Adaptation, learning, and optimization ov er networks.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Adaptation, learning, and optimization ov er networks

Reference 4

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Observation 33a9e7eb-62ac-4747-82ed-8d5990a1cb74 · outbound

This paper cites On the learning behavior of adapt ive networks - Part I: Transient analysis.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate On the learning behavior of adapt ive networks - Part I: Transient analysis

Reference 5

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Observation 42fb224e-ff25-47e8-ade6-62aa4851aa09 · outbound

This paper cites Distributed stochastic optimization with gradient tracking over strongly-connected networks.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Distributed stochastic optimization with gradient tracking over strongly-connected networks

Reference 6

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Observation 68d89a89-6edf-45be-a6ae-d1be08126b9c · outbound

This paper cites Stochastic g radient descent with ﬁnite samples sizes.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Stochastic g radient descent with ﬁnite samples sizes

Reference 7

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Observation 2ecd2354-9d62-4671-80aa-9d3be93a7266 · outbound

This paper cites Extra: An exact ﬁrst-or der algorithm for decentralized consensus optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Extra: An exact ﬁrst-or der algorithm for decentralized consensus optimization

Reference 8

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Observation de5a9572-9209-4d39-8bfb-15c3a12ac0ed · outbound

This paper cites Exact diffusio n for distributed optimization and learning – Part II: Convergen ce analysis.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Exact diffusio n for distributed optimization and learning – Part II: Convergen ce analysis

Reference 9

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Observation 95441c36-705b-4e0b-8cdc-3884df8971f4 · outbound

This paper cites Adaptive networks.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Adaptive networks

Reference 10

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Observation 6b8b86bd-f26b-42f2-be7f-88006c8febdc · outbound

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Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Unresolved cited work

Reference 11

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Observation fd2f0aaa-b855-4d4e-969f-f357cb38c6f7 · outbound

This paper cites The Perron-Frobenius theorem: Some of its applications.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate The Perron-Frobenius theorem: Some of its applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.358904Z

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Observation a352ae86-12a3-45fe-b189-1ea93fef6426 · outbound

This paper cites Prox imal multitask learning over networks with sparsity-inducing coregulari zation.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Prox imal multitask learning over networks with sparsity-inducing coregulari zation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.384927Z

Source-reported events for the cited work

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Observation 9d4912f4-adda-479f-9836-37bff07f482c · outbound

This paper cites Adaptive penalty-based dis tributed stochastic convex optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Adaptive penalty-based dis tributed stochastic convex optimization

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.404092Z

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Observation f096cd3e-0f66-497f-9aae-7bdc4172ce3d · outbound

This paper cites Performance limits of stochast ic sub-gradient learning, Part II: Multi-agent case.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Performance limits of stochast ic sub-gradient learning, Part II: Multi-agent case

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.401157Z

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Observation 34038bf7-44c6-4415-857b-9774593a1e41 · outbound

This paper cites Sup- port vector machines.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Sup- port vector machines

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 15a9978d-8ee2-4161-b280-999f53f975ea · outbound

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Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Unresolved cited work

Reference 17

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Observation 7208ba32-d0ac-492e-a817-1800fd7bbe1a · outbound

This paper cites Dictionary learning.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Dictionary learning

Reference 18

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Observation e9f88ffb-cd03-46a9-829d-21120fba98a2 · outbound

This paper cites The Loss Surfaces of Multilayer Networks.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate The Loss Surfaces of Multilayer Networks

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.390802Z

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Observation 8875b818-9ff9-4289-a8b3-92f08186d1ee · outbound

This paper cites Recursive stochastic algori thms for global optimization in Rd.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Recursive stochastic algori thms for global optimization in Rd

Reference 20

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Observation ae0fda19-0e93-468f-a44d-16201b5234ce · outbound

This paper cites Escaping from saddl e pointsonline stochastic gradient for tensor decompositio n.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Escaping from saddl e pointsonline stochastic gradient for tensor decompositio n

Reference 21

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Observation 07f1f363-cea3-4171-97e2-c31b24f9066e · outbound

This paper cites Gra dient descent only converges to minimizers.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Gra dient descent only converges to minimizers

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.397664Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9803c75c-45a5-401a-bf0d-9e78edfcb19f · outbound

This paper cites How to escape saddle points efﬁciently.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate How to escape saddle points efﬁciently

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.336818Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cf596f08-a259-404a-abc3-ba9445d121a9 · outbound

This paper cites Escaping Saddles with Stochastic Gradients.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Escaping Saddles with Stochastic Gradients

Reference 24

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 37c134ce-1c79-498a-81f2-32a5820e018b · outbound

This paper cites SPIDER: Near-opt imal non- convex optimization via stochastic path-integrated differential estimator.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate SPIDER: Near-opt imal non- convex optimization via stochastic path-integrated differential estimator

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.350201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f2424aea-eb7a-4d7f-9f45-1f829bf83599 · outbound

This paper cites Natasha 2: Faster non-convex optimizat ion than SGD.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Natasha 2: Faster non-convex optimizat ion than SGD

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.368511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9abc2e51-3ef7-4e4b-8ca5-e965831c4021 · outbound

This paper cites NEON2: Finding local minima via ﬁrst-order oracles.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate NEON2: Finding local minima via ﬁrst-order oracles

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.371604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation eb3e17a1-b4ef-4baf-9547-3a00d1b08d10 · outbound

This paper cites Sharp Analysis for Nonconvex SGD Escaping from Saddle Points.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Sharp Analysis for Nonconvex SGD Escaping from Saddle Points

Reference 28

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Observation 1dd7419e-d602-486b-91bf-1021caae4a54 · outbound

This paper cites On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 29

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Observation f09b9e73-eb90-4d11-89a1-ba1ea4bd2066 · outbound

This paper cites NEXT: in-network nonconv ex optimiza- tion.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate NEXT: in-network nonconv ex optimiza- tion

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.285774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c5388cea-49ee-4d53-a922-c9f37bb7f7c2 · outbound

This paper cites Global convergence of ADMM in nonconvex nonsmooth optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Global convergence of ADMM in nonconvex nonsmooth optimization

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.318175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5c2840db-d4b9-4d66-b523-8669133ce4ba · outbound

This paper cites Non-convex distributed opt imization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Non-convex distributed opt imization

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.325038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 77debe42-5b50-47ec-b00a-7ac866d777da · outbound

This paper cites Second-order Guarantees of Distributed Gradient Algorithms.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Second-order Guarantees of Distributed Gradient Algorithms

Reference 33

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Observation 6829aa2b-83e2-4cdc-9bdf-f12331662033 · outbound

This paper cites Annealing for Distributed Global Optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Annealing for Distributed Global Optimization

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2f516079-217a-4d07-8eba-fcb844fea85d · outbound

This paper cites Non-convex optimization for machin e learning.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Non-convex optimization for machin e learning

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.314832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 05b4d056-31f5-48fe-afb9-72a56c9db6f8 · outbound

This paper cites Stochastic variance reduction for nonconvex optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Stochastic variance reduction for nonconvex optimization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.321083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 209f5313-7f9f-4d62-b0d0-9366f78378bc · outbound

This paper cites Stabilized SVRG: Simple Variance Reduction for Nonconvex Optimization.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Stabilized SVRG: Simple Variance Reduction for Nonconvex Optimization

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-05-25T10:25:38.612814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 172b9037-1433-412f-8fb3-cbd74cf5dd25 · outbound

This paper cites Cubic regularization of n ewton method and its global performance.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Cubic regularization of n ewton method and its global performance

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.306595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a4b678f7-ef00-4335-ac5a-aab761fb08eb · outbound

This paper cites Klenke, Probability Theory: A Comprehensive Course , Springer.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Klenke, Probability Theory: A Comprehensive Course , Springer

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.311307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ad15e704-a544-4630-85f1-27ad052f3b4f · outbound

This paper cites On the learning behavior of adap tive networks – Part II: Performance analysis.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate On the learning behavior of adap tive networks – Part II: Performance analysis

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.300955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a83813fd-0c0d-4e63-847e-5090fc6cda74 · outbound

This paper cites Asynchronous adaptation and le arning over networks – Part II: Performance analysis.

Distributed Learning in Non-Convex Environments -- Part I: Agreement at a Linear Rate Asynchronous adaptation and le arning over networks – Part II: Performance analysis

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T10:25:39.294800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

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