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Paper Citation Record · LEDGER

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization

As of 18 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2411.14166.

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

pith.paper-citation-record.v1
2411.14166 v3

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:38:59.305228Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

59 of 59 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved36
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fbe1dd60-540e-4772-9682-7b3e1c5d26c9 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:01.340944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.778138Z digest=sha256:ec135e7d714f40784c397f2eb73e153714981c566beb44ffbdbc217acc90d03e

Observation b0076a28-f1b8-4ca2-8100-6a3f1643c7c3 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:01.306042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.789115Z digest=sha256:8a5b06f7078021d2dd3088482c773447197f340772c61609561162734bf94e9f

Observation 35b36d6a-e472-448a-8a9f-c91d4556a49d · outbound

This paper cites Arora, S.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Arora, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:01.283962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.797691Z digest=sha256:76ef789ecbcdd88b790c8b31470aa9520ad6baef19b6ba0ba86a3c828cf1988d

Observation a8692b2c-c6d0-4a21-9968-44e2a80089be · outbound

This paper cites Bertinetto, J.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Bertinetto, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:01.245825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.810779Z digest=sha256:2b7a3359a111b299e5ed1ec73d044ac7a42166fe345a09628f463a63bb642956

Observation 611f07d6-e145-4f33-bca8-f0de23850e1b · outbound

This paper cites Chang, M.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Chang, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:01.222114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.821965Z digest=sha256:533bee66bc2b5eb5bd8beed3a5a3574ed2eac6d34ca5f7c6236907cc59dc81cb

Observation 6e598d5b-a951-406e-a53d-79474511e867 · outbound

This paper cites Chen and A.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Chen and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:01.178473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.827513Z digest=sha256:ae8a8cea4806468beb561d7eee2c36459e5dd0e71114bed26a4c58508017dae2

Observation bace8cf9-799b-40c2-9a68-321238c67e64 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:01.160741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.836105Z digest=sha256:9e0e30e09f83839089eb66ce9e533220f82fae012996b1e578ae0a9b96afdd7f

Observation cb11a721-e8ff-4ba3-95a9-011b07c79109 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:01.140519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.842772Z digest=sha256:fe35d9d0b84001a7c3b892d82600dcb2e83f9eec3c4ebd171e2cbc794460f3b3

Observation 77a4965a-f14b-429f-9c78-f7884537e56e · outbound

This paper cites Decentralized Bilevel Optimization.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Decentralized Bilevel Optimization

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:38:59.904429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.854926Z digest=sha256:0d54d098a18e401b5a9f64be6639d044b552163a15ce251a264fc3151addeeb8

Observation b28c4f4a-fabb-4c75-a57b-be511f7bba86 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:01.116148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.867853Z digest=sha256:1bf8466d2e44ccafd7b27b46e0b0e87486cdfba5912cc171803eb02b2fbf4539

Observation f6be59ec-148f-43cf-93e6-5025ac101ec6 · outbound

This paper cites Optimal Algorithms for Stochastic Bilevel Optimization under Relaxed Smoothness Conditions.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Optimal Algorithms for Stochastic Bilevel Optimization under Relaxed Smoothness Conditions

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:58.875393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:58.875393Z digest=sha256:a29b1ba3878c5b3d4a0801a2a57916ac476816604ce456f61f00167103ad55b9

Observation 62d37e52-5187-4473-90a7-6703bca6f64e · outbound

This paper cites Dagréou, P.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Dagréou, P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:01.089460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.882403Z digest=sha256:c456975fc0f8d7821776f6a80ffaaab17103473c13759a8f61d49f5f3b58c3b9

Observation 49185202-f8f8-4563-b66c-a2a6cf02fb1a · outbound

This paper cites Di Lorenzo and G.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Di Lorenzo and G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:01.039101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.891717Z digest=sha256:e4907f074c5cb241c18d72354d239c5912d5bde996abd211f2da5543cc675317

Observation 7703e7ad-1cb6-4bfc-a765-4d39b7578470 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:01.014599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.898800Z digest=sha256:42daac03898ec741162ab2869ea3e8bae9ada2b500d315b4ccd2db0d605dfe06

Observation 8df695dd-542c-41e5-ad18-cab2236135b5 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.971964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.910151Z digest=sha256:69573e5ad006df7dc9c0c568fc9466c8d66ce43f6a639f14e636b47b34c79e3b

Observation 34d64e6a-028a-487f-84a5-5f2e208af050 · outbound

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

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization A Single-Loop Algorithm for Decentralized Bilevel Optimization

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:58.919683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:58.919683Z digest=sha256:18350fbfea4ffe6e977fbc71e9406633e215b5505601574010faed8a8555d58f

Observation 0bab03dc-6786-4b82-8b81-cc2869b2df84 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.944692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.930689Z digest=sha256:69e47b2c50a5970d3f4e26b13f828b9ffb74fc40b9e5376c52810716a93f084c

Observation 87db7f7b-2471-4654-9807-a17c45483c86 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.922212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.943487Z digest=sha256:d1ea80489d998b9dc02b5a77626c34b419fcca57adf41c719e90eea6faeaaeda

Observation d2b222ea-481b-4a06-b110-32aaa14ccd51 · outbound

This paper cites Franceschi, P.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Franceschi, P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.893509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.953876Z digest=sha256:98faf76a91081f0c21082f28e5258df93c4396ce4a0fb665ee89357c060ed07f

Observation 02429a62-97a4-4ad9-954b-f98f5dd043ed · outbound

This paper cites LancBiO: dynamic Lanczos-aided bilevel optimization via Krylov subspace.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization LancBiO: dynamic Lanczos-aided bilevel optimization via Krylov subspace

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:58.962567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:58.962567Z digest=sha256:62bd8280615a71d5d5c8ef4c5ccf0b83d245d97f5dc3369e028637fa7eb40631

Observation 3909672f-d2ee-47e0-9b71-f7b25f7caa7a · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.863121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.974024Z digest=sha256:38e1efbcf472d949cda41df9743151a4aa00da5925ad7ad1cfb81b95c14127ee

Observation 8b913e65-c43c-4072-88e3-4aac8dbb102c · outbound

This paper cites Approximation Methods for Bilevel Programming.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Approximation Methods for Bilevel Programming

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:58.981141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:58.981141Z digest=sha256:57613e3959c6d2b6cbd15584162380e56e78852ec7a4154ef1b03a4f79e586fd

Observation 09ca460b-5ba1-481a-b7a8-49b2ab0f778e · outbound

This paper cites Grazzi, L.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Grazzi, L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.840734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:58.987424Z digest=sha256:69fa863a275be3e654c2b8f5c121884d60c1b32b0cb1cbe9ca07a5daf5121fb0

Observation 348a974c-8f00-422b-8032-44ebcc022827 · outbound

This paper cites Randomized Stochastic Variance-Reduced Methods for Multi-Task Stochastic Bilevel Optimization.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Randomized Stochastic Variance-Reduced Methods for Multi-Task Stochastic Bilevel Optimization

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:58.993987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:58.993987Z digest=sha256:3ac364c4c13e4728eb12edbe5d5922c78613b1bccb6015b869d33cb48bc68207

Observation 571532c6-0454-4acf-b2a2-6fc94ac5a414 · outbound

This paper cites Hong, H.-T.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Hong, H.-T

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.816568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.008496Z digest=sha256:8a6e3de4beaaafa41201e7e1b9ebd3a3e6cc0c6ae6731ce8efe1dfb5d3ab78bd

Observation cef92806-8dd9-49f4-b3b1-c21bdac55d36 · outbound

This paper cites Jakovetić.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Jakovetić

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.792713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.029459Z digest=sha256:87ebb29218b3ca9ad85ff75e7033fd02c8fdd08dc158c6f1102b8bb3816b6eae

Observation e0793f1f-a655-4b11-93ca-60bf35fc8d81 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.766480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.038484Z digest=sha256:7fbc5fa040252ac52880e398b81fb5c5411470bb1d513133428b838ced0b9e22

Observation fc5a77fa-16b6-4b2b-96fb-1de485e09ada · outbound

This paper cites Koloskova, T.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Koloskova, T

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.732028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.044462Z digest=sha256:b83cbaa2db87aa649a9df1dd0a2f54081702dff376020164d1b4902e7baa70a6

Observation 5838b312-c807-40c4-b874-3a4eaa30c342 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:59.051130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:59.051130Z digest=sha256:5b59bebe1c53d40d61fe5dae46fc63229b9991c4698b5e346f8c49d161507c5c

Observation 3b9e30e5-36d3-4fd3-a569-8c5d1e76e5f4 · outbound

This paper cites A decentralized proximal-gradient method with network independent step-sizes and separated convergence rates.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization A decentralized proximal-gradient method with network independent step-sizes and separated convergence rates

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:59.057934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:59.057934Z digest=sha256:355b0c22e152c1a5e503e7006b815a03504d6fae349f24f1548c3f0043ea3711

Observation 2b26e8ea-d391-4391-978a-78f7405e3f62 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.693034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.070033Z digest=sha256:a85bdafa30fbc0e68123c0691ff849ae07ba93fb4917aa6e85ef093bff9ac426

Observation 86baf386-c0f1-409e-901d-4ddc38b3f1fe · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.660375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.076144Z digest=sha256:47b6d6594e180dca11327175b60f54457ec75e18fd0f9159c9559d7d748ba5b3

Observation 258ae2a3-08e6-4915-b1e4-a51ac31b0d88 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.622832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.082158Z digest=sha256:82e319f9ff910f858d4c8325e1597721f538545ccf30059c2f27f0a392597518

Observation 70026993-0f77-4e49-85d9-9e7ffb49566e · outbound

This paper cites Lu and C.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Lu and C

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.597148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.096184Z digest=sha256:75cd607e69f115b4b561d7d5cf8dcb07f49bde4bd12b460c1e33f919e93ca2ee

Observation 17d9a781-60e0-4eda-a1e7-412385361de5 · outbound

This paper cites Maclaurin, D.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Maclaurin, D

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.568743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.102673Z digest=sha256:3adf1fe94203af83f9a5adf38fd57c9ff9411884963771f61dcce781724ad565

Observation 18831dd3-3ecb-42ac-8dc2-634d2f06c1a8 · outbound

This paper cites Madry, A.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Madry, A

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.543338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.119957Z digest=sha256:f28cc00012166a416fc5333290ca112fa988f2a398d03f1bc8266736c41909a6

Observation 1ea912f1-0cf2-4f16-aa72-33cb03362a25 · outbound

This paper cites Nedić, A.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Nedić, A

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.519663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.127377Z digest=sha256:32330928e436c9b26c86b98e3807f20f73dabd6a31538cbec4a405fa42bdbbc2

Observation 7539d699-681b-42bd-ae67-cb2fd143bacb · outbound

This paper cites Nedic, A.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Nedic, A

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.494148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.134496Z digest=sha256:b0450ba96faf0b34cfcf7d41de73713a035f2d8f2c00147628c02cff654d753f

Observation 798c32a1-64f3-4295-8e85-19b81f861b9c · outbound

This paper cites Nedic and A.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Nedic and A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.470311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.143132Z digest=sha256:8aa4dbb267db3a14820a5f0c41fc9b52ce59dd1700efafe6f31c4ab0374809bb

Observation 1036be13-fa4b-4d92-b657-b6e775953827 · outbound

This paper cites Distributed Stochastic Bilevel Optimization: Improved Complexity and Heterogeneity Analysis.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Distributed Stochastic Bilevel Optimization: Improved Complexity and Heterogeneity Analysis

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:59.155295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:59.155295Z digest=sha256:2a36ff3294920b1ddc2aeb232b2b927ba4928072f391bcbd572e77bee08808c4

Observation 3bc05dcc-08d6-49b9-9c50-b24f6b404b75 · outbound

This paper cites Qu and N.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Qu and N

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.429911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.161683Z digest=sha256:c914d8045edac89328ea239664bee73991b4fa6547732971ee7fa311886af034

Observation be18df1f-27cb-4848-ae0f-53aab92232f8 · outbound

This paper cites Russakovsky, J.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Russakovsky, J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.404760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.169342Z digest=sha256:1fa210a2b3eaf50fc8bc5fd2153f3ea8ed89a740e18495c6ba2c7b511cf77c13

Observation 65609810-d980-4b51-89e7-3d57f0c2a4d0 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.374499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.182383Z digest=sha256:950fcbe41c51efd76d7a536418850e05ab8a932fcb93f617ed43ff80e393b827

Observation e7159864-c425-4c40-8386-604a8d88ca76 · outbound

This paper cites Shaban, C.-A.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Shaban, C.-A

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.344785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.189840Z digest=sha256:19da965a0210a07701243cefcd6f3b87aeb89cf7a1069645ea178b49e0d32a86

Observation 5d2b7872-9bca-4094-8e4b-55084190f38d · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.323611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.196384Z digest=sha256:a26f6ccd38bf5a74fb019b33460f1a9ef50d24f2325694dcc5aeeb7d62317257

Observation 8e1f3441-4ad5-4071-addb-21ed09fccd6a · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.298663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.203112Z digest=sha256:a0a4dac56fe0ffb4c33362b2c6b5429b0d83c6543220334ccf75ce590490c584

Observation 2490c189-6a9d-40fb-8d74-d491297a1d57 · outbound

This paper cites Vinyals, C.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Vinyals, C

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:00.272457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.211240Z digest=sha256:36a32cb444b66165546ed20d59c0ee0482e90646da43b2aaa22a693922e1d26c

Observation a97808aa-5a54-48f2-b1d1-09632bfa3503 · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:59.218271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:59.218271Z digest=sha256:3943333f377a771a9a9f01fecbc06d3dab1f2b1443258c65be30cdc6ec9a3074

Observation 6aa2e441-8559-4376-ac3d-80bdeeb699ec · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.239162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.226302Z digest=sha256:c200abe295d96e906078ad4bfb6fe322466e34dbe155e5763fe487b4032fcf3f

Observation e3c21f72-70d2-425a-85b4-4e5d61bcbb7a · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.202792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.232424Z digest=sha256:3e71238a307437d9a689636b950272ec080fa68cda8e0b1001c21792c0e1107b

Observation 5797a7e8-6e0a-4b65-bf7a-5aa8192dfd0b · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.160000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.241572Z digest=sha256:73eac882cc4820be49ac3c589d7e53d7ff7dc24093835b5b9a2e9523eda579de

Observation df4e2f7d-72e8-4621-b7d6-35ebb4714dd1 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.137164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.247698Z digest=sha256:fa153e80e9ff5a8492386bfa113ca936dad35c9ad3d4abac6661380d0cac57b8

Observation b2e050f4-cf94-4ddd-b68b-8cbee9627524 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.111399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.259516Z digest=sha256:068a9b702392d44dfc069b698d66fa2ac8f607bfa73cf28f83311fa03993f572

Observation f408dcac-c5fb-42c4-8379-4ba5b1524a58 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.080626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.265020Z digest=sha256:338fb93a2b4130bebdd516be1f89312f87ecb3f951a3de570ff10f919e7d6f4b

Observation 1c241b14-f9c9-43c0-9ce0-def471aceb83 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.054545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.272846Z digest=sha256:0ac6717b23ba5f46aea4469f16217836d2b695df6f6e0237cd0d5d25bd70e97d

Observation 2324c8c1-76f0-45e6-b431-d8d0e5117b2e · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:00.004371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.280127Z digest=sha256:ac391976f9e0430a77f02a39100a1ca86855b280a55f313cac41644d07b2a65e

Observation 6c569dad-e201-4ad7-af90-918fc818d990 · outbound

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

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization On the Communication Complexity of Decentralized Stochastic Bilevel Optimization

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:59.287431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:59.287431Z digest=sha256:4d581bd4f27dce1e2e6abaa8f987e6e6782ec9588591546fa24935ea58792f0f

Observation d1dbbebb-0a17-4b19-910e-9f6ad5ba1f50 · outbound

This paper cites an unresolved cited work.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:38:59.972036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.299504Z digest=sha256:f141ab38a79a26d447457670e1520999e3577fe578062b028f4e009e86b94dda

Observation 5506f1f4-3a71-4808-83a6-3cbece907521 · outbound

This paper cites κ2∥Oy∥2∥ˆek+1 y ∥2 n # + 6(K + 1)γ µgn 3σ2 g,2 L2 f,0 µ2g + σ2 f,1 ! + 73κ4.

SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization κ2∥Oy∥2∥ˆek+1 y ∥2 n # + 6(K + 1)γ µgn 3σ2 g,2 L2 f,0 µ2g + σ2 f,1 ! + 73κ4

Reference 59

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:38:59.938887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T15:38:59.305228Z digest=sha256:95f77ca30d7f83a6273998c3fb5bf11ab8d9f8aa7ed15eae6e7f9c3a7fc57035

Pith citing papers

No inbound Pith citation observations are available.