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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.778138Z digest=sha256:af055f9ec4165894e899f16fb8a7f3461d7caaade11f88a1195124aa716d4c28

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.789115Z digest=sha256:313ac94dc903d332697e3a052c7aa7a7a305910740d0ccd5c6837951c2e6efb1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.797691Z digest=sha256:a5c30b73313e4142f2b6c1ba71419236c4507a73e053321a964f4e05146d5599

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.810779Z digest=sha256:fb43532af10311a39b10edaa90004146786e3865e9ef1b18e1c59900d1d4bf55

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.821965Z digest=sha256:bb99a7b4e0f0572b67228c468f356df967e72c5b1977bd6f6a6ea962fc4e2990

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.827513Z digest=sha256:c3b293aaec994490c646a40df57ba82b6c84f9d0b5131e1a3bbce9926ec20730

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.836105Z digest=sha256:488a02d2aa5ae3dd72198c4c99474bd48be355aefa3126fe894c8dc28bb51f6c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.842772Z digest=sha256:077c90bc77272c4003c4dc32adf6ce1a04fe59f54f2ef0789aae9cf2b1fb3477

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.854926Z digest=sha256:8011eb76acd1dcf01a8073299fcbe14aa1a8cda88ae616ae7c46092cd46abb4e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.867853Z digest=sha256:5a06ad100e0c83f9b74b5a7417e4d537b1c90a8c3d3b1990758b052040fd47ef

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:d86bf7d7a24591bebee49caadcc009a69f64cf68cdc2c64502a8490f36f30dd3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.882403Z digest=sha256:ef798d7674e80b12f10b3d2ef462942c0d66c0276b284239260d88e0aa133363

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.891717Z digest=sha256:924bfa29bd0e9b2b676dcae03f238d523f3e6751ff5bedbcd3d1cf8a2f7cbc5a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.898800Z digest=sha256:f2651fef155238b66e79e38734a9d31b28fea72914684d8d777f4a0f0091bfcf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.910151Z digest=sha256:afc16f5f3efb3af6e29294c4b1f2295eaf1d5fb2e142111b8eb93fee0d37c072

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:a345018068575141486cca89c69cca958adad5e068a15166eb0609e5843f7c61

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.930689Z digest=sha256:ae200118d094e77a7a6f5477eb7b133c297668ec0776298898b2a19ab09d9239

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.943487Z digest=sha256:3603a97c4fdc247fc5cfdc6d7158c0ca8f6d541d71bbb8e691719f59d915ec29

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.953876Z digest=sha256:dd0127dfe0d460514b876e7ba16503e8dc4aead11583d0815b6b405a6b32f31d

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:a7b4a2dd016f428405181839cd4b7657bca20e6b980be0f96f20dfc28d8c0a2a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.974024Z digest=sha256:96e8cd198ff28c101e80f074fdc5d88969f911829179d21a0ff2a96143961bf9

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=sha256:4824118d8e56c77d83ecef5d57e572a5c462f6e6b1e5d6909aa13d7590a20b5a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:58.987424Z digest=sha256:12514b08e785c0f39566cbce1b096b5e736fb2f64095baad2bf3dee2c9bd3039

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=sha256:9a507d9a84bd2bef92c516edb1deafa5afd6e79597a24689b7b7c62dfd592234

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.008496Z digest=sha256:dc3befa47d529c859bcb7d5787cc0e73afbe9d4701a286c9edf353ecc8a2dbd2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.029459Z digest=sha256:4ef4cfe2cf101000cce090e68d29b6a5c60dd8cc07790862d627219ef2d54f92

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.038484Z digest=sha256:f8ac28b3be18a4d1bc48b2c51973c64eed2af29a2189936ab4632d3dda2e9546

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.044462Z digest=sha256:4bc633aab2d708bb4b332141b7b23386f72bbb3c002fb9f6e6323cfb959e00e7

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=sha256:27d6492c10b24423d3da4aa998ee7d60ad40145d09a97fc704312929680fb885

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=sha256:59f7cd130475af43358d46adf6b2326aca968cddebfbf6e38da1d9349a6ea9a0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.070033Z digest=sha256:aa1db1083b25372dfe3747ebf616051ce35907160274b2a0f561c5dfdbfeeacf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.076144Z digest=sha256:fa75954946ae0bc8c483c96c06121adb36cc39ec05c5b8ff9226dab9b4af75df

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.082158Z digest=sha256:78eebcd9cbdad7163b55c7977deb11a5727fc63cd68251f4581054e4d3f1197e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.096184Z digest=sha256:79c541e24ddaa096a31fd6f477db0ef0757c6d49790d7dafb80483a7d52dea37

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.102673Z digest=sha256:a47ed431b0b13b829a4cb0dbfb21187c37e58886ed22c0b508df5899dbf1f47a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.119957Z digest=sha256:65bd1c90ca8132e389ba0a71d3c41317fb455695e5f9a2c94dcb7d9b0e85778d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.127377Z digest=sha256:42f1693c30674355ada1f7d4b91cb7bb51d59359b0ae61e2f96b310141190e2c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.134496Z digest=sha256:cf17f13ac0fcfeca3fc5158758833cd52991adf0dca95f64194d2c6d6fca47b3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.143132Z digest=sha256:289c4ea8daf6f9f865556aabc5782aff95c58adb99de0815630d77ed67f19c70

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=sha256:2d908d9639185083ee885f8c42a6465b6cf778491982b02a346041ba88ab2d73

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.161683Z digest=sha256:fe5da82f4f3c69a9760c4dacad58600a9cad5788df4f1b6dd91b889e798443df

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.169342Z digest=sha256:67f6e865e58069027bf623e99bd781149a91665c8324b009310c202ef3f52952

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.182383Z digest=sha256:04f167e01cade2517cbad1490248eefda1ed15a32e2e2ef86c9a1a8293dc7f7e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.189840Z digest=sha256:2e20d477dafae3a7862a5128c22656fd246c9fc880411f3b3138eb0d55222906

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.196384Z digest=sha256:74b827b74dd2032d3f2c868fec15880d53994a8644696a0f9bf8e2c748a6a713

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.203112Z digest=sha256:5c83a07453c98c63f9efa44a86a77988ef3edf669e642bcdf88bdc3d7102f002

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.211240Z digest=sha256:8bff4e4eb49f1661e747a207544146dbda169c345023b9c8052123f11e48a372

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=sha256:8445d0522a0a01da8d916d8a5fef1c8bfe3c3702dda89b78bb75a32ada6c4984

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.226302Z digest=sha256:8fd74f11df975914311ebf2e8e7062feaa95a915cda7eba00e6d71343803bd22

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.232424Z digest=sha256:6c4835d631ea241382d4b5d3e1dcf3229120be84f51111255e3267f73b733d5a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.241572Z digest=sha256:a7f918654180ff76f0d35b00268bd6b89f7a46188181a66885667fd302a560cb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.247698Z digest=sha256:b5da0e505d3d93c386b72534c607377af07250a51185ffddba548b924126a977

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.259516Z digest=sha256:e643199cd5dcad78acdbe57dba6784f521694e247b8aecb1e362b0845910e064

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.265020Z digest=sha256:e15178fa20592374dfce17486d384d5d1134b6db93c1cff596e2dff385e3a2ff

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.272846Z digest=sha256:c0401231151d27466d07e74031f53e6ec5962c20d0b362bde4558ade96039162

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.280127Z digest=sha256:2562e87da1f037fdc65ef53e39573d851302442f73b857701bd58dea276cccc4

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=sha256:4665f4604c985485647d5da2dcc23b9fa0c98f68edb09583660c751497fefd90

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.299504Z digest=sha256:3831d75c2b3a44fa823fd961cefdc605bc6e2cba62d0c7ccabf41f5829636e7c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T15:38:59.305228Z digest=sha256:f0d13765b75b8a9bd2d3e17a44fae59f90c85a4ebd661dbed93c1f68eaac1577

Pith citing papers

No inbound Pith citation observations are available.