Paper Citation Record · LEDGER

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise

As of 8 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2509.15543.

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

pith.paper-citation-record.v1
2509.15543 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:23:24.044763Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

49 of 49 outbound references displayed

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unresolved49
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Outbound references

Observation afa979e0-9e86-4032-993b-d27729694443 · outbound

This paper cites Linear attention is (maybe) all you need (to understand transformer optimization).

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Linear attention is (maybe) all you need (to understand transformer optimization)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T16:23:15.929444Z

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Observation a39187f8-a79d-45b8-add3-454a72bd063e · outbound

This paper cites Battash, L.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Battash, L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T16:23:16.094742Z

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Observation 88e39101-8e0e-4e84-9b3c-d1de7c6cb3df · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 3

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Observation bc98c61d-d707-47ca-922e-f0635610efaf · outbound

This paper cites Decentralized Bilevel Optimization.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Decentralized Bilevel Optimization

Reference 4

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Observation 5c8a3642-1028-4b2c-ad93-11933116a463 · outbound

This paper cites Decentralized Stochastic Bilevel Optimization with Improved per-Iteration Complexity.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Decentralized Stochastic Bilevel Optimization with Improved per-Iteration Complexity

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T16:23:16.745322Z

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Observation 16f9bfc5-163f-4b16-a058-89a0f4379dde · outbound

This paper cites Cutkosky and H.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Cutkosky and H

Reference 6

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Observation e4396401-a032-4685-ad50-555577559721 · outbound

This paper cites Cutkosky and F.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Cutkosky and F

Reference 7

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Observation 4b3bbd0c-5981-4507-aafe-339485c888d2 · outbound

This paper cites A Single-Loop Algorithm for Decentralized Bilevel Optimization.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise A Single-Loop Algorithm for Decentralized Bilevel Optimization

Reference 8

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Observation a2341a3a-450f-4f8b-ae5b-9cc76af9759d · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 9

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Observation 5ec17308-4c81-41ca-92fd-c1bde42825bb · outbound

This paper cites Franceschi, P.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Franceschi, P

Reference 10

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Observation 9f93cd86-e6c3-4cbe-a35e-3b7e3e308f1e · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 11

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Observation bb683a41-2604-4b53-be95-34eacb5d1783 · outbound

This paper cites High-Probability Convergence for Composite and Distributed Stochastic Minimization and Variational Inequalities with Heavy-Tailed Noise.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise High-Probability Convergence for Composite and Distributed Stochastic Minimization and Variational Inequalities with Heavy-Tailed Noise

Reference 12

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Observation 33462cb2-8194-4a31-95c6-53b6f71f215f · outbound

This paper cites G¨ urb¨ uzbalaban, Y.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise G¨ urb¨ uzbalaban, Y

Reference 13

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Observation 3220d41e-f6d7-45dd-a0e6-2bfa67062a3a · outbound

This paper cites Near-Optimal Decentralized Momentum Method for Nonconvex-PL Minimax Problems.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Near-Optimal Decentralized Momentum Method for Nonconvex-PL Minimax Problems

Reference 14

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Observation 39ec6762-ae3f-4735-816b-33ca7b420d91 · outbound

This paper cites From Gradient Clipping to Normalization for Heavy Tailed SGD.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise From Gradient Clipping to Normalization for Heavy Tailed SGD

Reference 15

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Observation a5608064-84e4-4da6-90c0-5607407c3c29 · outbound

This paper cites Karimi, J.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Karimi, J

Reference 16

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Observation 02413532-df4f-4525-a0c5-530c9cab7280 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 17

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Observation 890ad5de-ea1e-4c80-98c5-7f053ca294da · outbound

This paper cites On the Complexity of First-Order Methods in Stochastic Bilevel Optimization.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise On the Complexity of First-Order Methods in Stochastic Bilevel Optimization

Reference 18

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Observation 0c725faa-1879-4d54-86de-ea55fdf2b2a6 · outbound

This paper cites On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 19

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Observation ce86bb6d-c710-4b9d-8184-f292ab183565 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 20

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Observation 46c058ec-0070-4cb4-89be-994f0eb02d27 · outbound

This paper cites Efficient Distributed Optimization under Heavy-Tailed Noise.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Efficient Distributed Optimization under Heavy-Tailed Noise

Reference 21

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Observation 04c72c7d-c683-42cd-8a64-95ea7285f878 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 22

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Observation 6390be8e-1449-4e15-b88c-28159e9613c2 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 23

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Observation 886abf2e-1c56-4e99-8fd5-052e1fd14135 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 24

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Observation 3d7ed7cf-c2f8-4dce-b2cf-d3778756c86b · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 25

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Observation 0b6ecf78-21e0-4c8a-867c-74a055e3089a · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 26

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Observation fb304795-5a70-4581-8a31-b5d8eb09b154 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 27

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Observation 2489e8a8-a310-4303-bc77-e672e573af5d · outbound

This paper cites Liu and Z.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Liu and Z

Reference 28

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Observation f7c0b967-f93c-4c22-9179-9faa6d91ced8 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 29

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Observation ef9bb9aa-278a-4e4d-8ade-5e94eec88cb2 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 30

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Observation 04001f9e-d07b-4a3d-a2ce-90728f32d5fe · outbound

This paper cites Solving a Class of Non-Convex Min-Max Games Using Iterative First Order Methods.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Solving a Class of Non-Convex Min-Max Games Using Iterative First Order Methods

Reference 31

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Observation 54398c1b-ee10-4487-9ce7-a93caf8a1326 · outbound

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Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Pedregosa

Reference 32

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Observation d3925aa6-8389-4311-a4f2-bcb7fb52f31e · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 33

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Observation 30968126-5796-43d1-b731-438dad96a3a5 · outbound

This paper cites Sadiev, M.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Sadiev, M

Reference 34

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Observation cfd91cf7-e72f-413d-9832-80c5e31c7f1d · outbound

This paper cites Shen, P.-Y.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Shen, P.-Y

Reference 35

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Observation 86e5ddcc-4631-4fa0-8122-113d99958afb · outbound

This paper cites Shen and T.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Shen and T

Reference 36

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Observation 8c3a598a-c9c9-4410-97d1-b629bb03001e · outbound

This paper cites Principled Penalty-based Methods for Bilevel Reinforcement Learning and RLHF.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Principled Penalty-based Methods for Bilevel Reinforcement Learning and RLHF

Reference 37

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Observation 8cc6652f-41cd-4f1c-90d8-7b2e9c01dedd · outbound

This paper cites On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 38

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Observation 2e72d864-75d0-43d5-ac0c-e0a6a4da69fb · outbound

This paper cites Simsekli, L.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Simsekli, L

Reference 39

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Observation 7f05796e-90bb-41b5-ae5c-f761c783b91e · outbound

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Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 40

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Observation 31abc6bd-c395-4595-b761-c6bd61978ce5 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 41

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Observation a621a9fc-9cda-4774-b799-7c14b37ce516 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 42

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Observation fcc177d9-139e-49fa-8c06-6cf3ab6459cc · outbound

This paper cites heavier-tailed.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise heavier-tailed

Reference 43

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Observation 44355934-fd63-4734-a2c0-4a0196e3ed46 · outbound

This paper cites Decentralized Gossip-Based Stochastic Bilevel Optimization over Communication Networks.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Decentralized Gossip-Based Stochastic Bilevel Optimization over Communication Networks

Reference 44

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Observation 92ecb531-1d7e-4084-aa34-096b03aa36fb · outbound

This paper cites Algorithmic Foundations of Empirical X-risk Minimization.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Algorithmic Foundations of Empirical X-risk Minimization

Reference 45

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Observation 882d9dc2-1fec-4502-9f98-490d1a541ee9 · outbound

This paper cites Zhang, S.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Zhang, S

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T16:23:23.714748Z

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Observation 5c2c2632-0278-4100-804a-957d729f8306 · outbound

This paper cites Zhang, G.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Zhang, G

Reference 47

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Observation eba7924e-90f3-40fc-8f09-d2c1ab20d50f · outbound

This paper cites On the Communication Complexity of Decentralized Stochastic Bilevel Optimization.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise On the Communication Complexity of Decentralized Stochastic Bilevel Optimization

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T16:23:23.914741Z

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Observation 5bb8b94f-bc9b-4ee7-9b98-c3d0259a7534 · outbound

This paper cites an unresolved cited work.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise Unresolved cited work

Reference 49

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