Paper Citation Record · LEDGER

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2412.00659.

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

pith.paper-citation-record.v1
2412.00659 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:23:01.032626Z

measured 25 of 25 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

25 of 25 outbound references displayed

verified exact1
verified fuzzy13
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93901944-9265-4be5-953a-ac3294388f15 · outbound

This paper cites Amortized Implicit Differentiation for Stochastic Bilevel Optimization.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Amortized Implicit Differentiation for Stochastic Bilevel Optimization

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.935397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e5c2a99-0115-483d-86b7-300f166804f2 · outbound

This paper cites Exponential convergence bounds using integral quadratic constraints.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Exponential convergence bounds using integral quadratic constraints

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.328354Z

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.

Observation af9c1fe8-447a-4d8a-998c-1a3f39959182 · outbound

This paper cites Closing the gap: Tighter analysis of alternating stochastic gradient methods for bilevel problems.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Closing the gap: Tighter analysis of alternating stochastic gradient methods for bilevel problems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.944845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80be432e-b9f1-456e-b506-1ee3bcba43f1 · outbound

This paper cites A single-timescale method for stochastic bilevel optimization.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem A single-timescale method for stochastic bilevel optimization

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.948634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff8317f3-bfee-4182-a976-17eecae6b1e6 · outbound

This paper cites Feedback systems: input-output properties.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Feedback systems: input-output properties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.301425Z

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.

Observation c0bbcf94-21c4-4032-8fac-91432d3fe801 · outbound

This paper cites A course in robust control theory: a convex approach, volume 36.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem A course in robust control theory: a convex approach, volume 36

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.289157Z

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.

Observation f582e691-b981-4cab-9013-4f1e967db832 · outbound

This paper cites Forward and reverse gradient-based hyperparameter optimization.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Forward and reverse gradient-based hyperparameter optimization

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.961778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20bedd64-4b02-4ab6-b52c-85b41f8c8292 · outbound

This paper cites Bilevel programming for hyperparameter optimization and meta-learning.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Bilevel programming for hyperparameter optimization and meta-learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.965428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2ac3841-d3ed-4d65-8064-eb48d7fcf43d · outbound

This paper cites Approximation Methods for Bilevel Programming.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Approximation Methods for Bilevel Programming

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.969258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04e5a3d2-7cc8-4b80-be57-6a1aa2748c13 · outbound

This paper cites A two-timescale stochastic algorithm framework for bilevel optimization: Complexity analysis and application to actor-critic.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem A two-timescale stochastic algorithm framework for bilevel optimization: Complexity analysis and application to actor-critic

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.974097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60d43e23-af05-48f3-8892-31e5c9ff6e15 · outbound

This paper cites Control interpretations for first-order optimization methods.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Control interpretations for first-order optimization methods

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.255325Z

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.

Observation b6e079d4-da48-4f39-9035-8e2ddf5d0f4f · outbound

This paper cites Dissipativity theory for nesterov’s accelerated method.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Dissipativity theory for nesterov’s accelerated method

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.242134Z

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.

Observation d2c36172-b171-4435-bad2-722c9ced63c9 · outbound

This paper cites Metapoison: Practical general-purpose clean-label data poisoning.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Metapoison: Practical general-purpose clean-label data poisoning

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.229083Z

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.

Observation da0a09f8-53bc-4a1c-aedb-c00aeba88f9b · outbound

This paper cites Lower bounds and accelerated algorithms for bilevel optimization.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Lower bounds and accelerated algorithms for bilevel optimization

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.216471Z

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.

Observation 77e4f8f9-9c43-41ea-bc5c-1d68da79f02a · outbound

This paper cites Bilevel optimization: Convergence analysis and enhanced design.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Bilevel optimization: Convergence analysis and enhanced design

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.993513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation effdb644-8c21-4e5b-bc2d-06e5cd3750b7 · outbound

This paper cites A near-optimal algorithm for stochastic bilevel optimization via double-momentum.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem A near-optimal algorithm for stochastic bilevel optimization via double-momentum

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:00.997209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4466d0b-3936-455e-a7de-5f192e9b5532 · outbound

This paper cites Analysis and design of optimization algorithms via integral quadratic constraints.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Analysis and design of optimization algorithms via integral quadratic constraints

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:01.000950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b9ddbd2-c629-45af-9776-37346beaf3a0 · outbound

This paper cites A fully single loop algorithm for bilevel optimization without hessian inverse.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem A fully single loop algorithm for bilevel optimization without hessian inverse

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.181200Z

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.

Observation 7a855a81-ea1c-499f-95e2-c5bc546987a3 · outbound

This paper cites Inducing equilibria via incentives: Simultaneous design-and-play ensures global convergence.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Inducing equilibria via incentives: Simultaneous design-and-play ensures global convergence

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.167375Z

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.

Observation f86a3099-090a-4ede-9f1f-daf162497a86 · outbound

This paper cites On lp-hyperparameter learning via bilevel nonsmooth optimization.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem On lp-hyperparameter learning via bilevel nonsmooth optimization

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.154987Z

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.

Observation b5f77084-c586-4ef0-a523-90c3ebcc1c0d · outbound

This paper cites Adversarial Training Should Be Cast as a Non-Zero-Sum Game.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Adversarial Training Should Be Cast as a Non-Zero-Sum Game

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T05:23:01.016654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 684e6851-c877-4d77-8381-8fc88c1b772b · outbound

This paper cites Hydra: Pruning adversarially robust neural networks.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Hydra: Pruning adversarially robust neural networks

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.142788Z

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.

Observation 410be691-5f44-4f87-90e0-cf40d1532f9c · outbound

This paper cites Reward design for driver repositioning using multi-agent reinforcement learning.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Reward design for driver repositioning using multi-agent reinforcement learning

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.130647Z

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.

Observation 0b8ccdd7-18f9-46c5-8a73-c0046fc213d3 · outbound

This paper cites A Gradient-based Bilevel Optimization Approach for Tuning Hyperparameters in Machine Learning.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem A Gradient-based Bilevel Optimization Approach for Tuning Hyperparameters in Machine Learning

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:23:01.071119Z

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.

Observation 2361136e-5563-4855-bfcc-67822d9fb63a · outbound

This paper cites Advancing model pruning via bi-level optimization.

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem Advancing model pruning via bi-level optimization

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:23:01.118453Z

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.

Pith citing papers

No inbound Pith citation observations are available.