Paper Citation Record · LEDGER

Safe Gradient Flow for Bilevel Optimization

As of 10 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2501.16520.

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

pith.paper-citation-record.v1
2501.16520 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:47:06.770058Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:38:15.769543Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T15:38:17.872115Z

Reference resolution

47 of 47 outbound references displayed

verified exact3
verified fuzzy39
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 355ce7d0-40ef-4445-b9f0-49a4dad78a1a · outbound

This paper cites Investments in merchant energy storage: Trading-off between energy and reserve markets.

Safe Gradient Flow for Bilevel Optimization Investments in merchant energy storage: Trading-off between energy and reserve markets

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.624771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 84250f1f-fa28-4866-8455-f5519473340e · outbound

This paper cites The theory of the market economy.

Safe Gradient Flow for Bilevel Optimization The theory of the market economy

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.607605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 06ee6b12-6a29-4e81-b0fe-1f6fdec33048 · outbound

This paper cites An iterative algorithm for two level hierarchical time minimization transportation problem.

Safe Gradient Flow for Bilevel Optimization An iterative algorithm for two level hierarchical time minimization transportation problem

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.591921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 055d4086-4571-419e-adc5-0b87f2fe15dc · outbound

This paper cites Model-agnostic meta-learning for fast adap- tation of deep networks.

Safe Gradient Flow for Bilevel Optimization Model-agnostic meta-learning for fast adap- tation of deep networks

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.576096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 46c47675-6659-4979-9a39-0bce2d1d6aa1 · outbound

This paper cites Meta-learning with implicit gradients.

Safe Gradient Flow for Bilevel Optimization Meta-learning with implicit gradients

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.560721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 772c255a-baa3-43fd-beee-e4bcfe954fc3 · outbound

This paper cites One-shot learning of object categories.

Safe Gradient Flow for Bilevel Optimization One-shot learning of object categories

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.544748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9129da61-beea-4eca-9cd1-cd93e3b61f47 · outbound

This paper cites A Two-Timescale Framework for Bilevel Optimization: Complexity Analysis and Application to Actor-Critic.

Safe Gradient Flow for Bilevel Optimization A Two-Timescale Framework for Bilevel Optimization: Complexity Analysis and Application to Actor-Critic

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T12:47:06.575093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b452632-4cc0-4910-a866-2e4a63d93583 · outbound

This paper cites Gradient-based optimization of hyperparameters.

Safe Gradient Flow for Bilevel Optimization Gradient-based optimization of hyperparameters

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.528703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation db3b0d7d-c071-4c29-95c2-d92de7c9709b · outbound

This paper cites Bilevel coreset selection in continual learning: A new for- mulation and algorithm.

Safe Gradient Flow for Bilevel Optimization Bilevel coreset selection in continual learning: A new for- mulation and algorithm

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.512480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2bdb82fd-f92e-400f-b8d5-843e38b1c5ce · outbound

This paper cites Revisiting and advancing fast adversarial training through the lens of bi-level optimization.

Safe Gradient Flow for Bilevel Optimization Revisiting and advancing fast adversarial training through the lens of bi-level optimization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.496138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 52304e44-56c3-4f9a-8cc2-50d3d407f3b6 · outbound

This paper cites New branch-and-bound rules for linear bilevel programming.

Safe Gradient Flow for Bilevel Optimization New branch-and-bound rules for linear bilevel programming

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.479447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7f595e34-40fb-43a2-a270-b11083e2724a · outbound

This paper cites Hyperparameter optimization with approximate gradient.

Safe Gradient Flow for Bilevel Optimization Hyperparameter optimization with approximate gradient

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.462739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 55c9fff5-ccc1-44ea-97ab-eda177970ad7 · outbound

This paper cites Generic Methods for Optimization-Based Modeling.

Safe Gradient Flow for Bilevel Optimization Generic Methods for Optimization-Based Modeling

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.446463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e9bf6f05-8385-44fc-ae78-929147c7b223 · outbound

This paper cites Approximation Methods for Bilevel Programming.

Safe Gradient Flow for Bilevel Optimization Approximation Methods for Bilevel Programming

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T12:47:06.610243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b6508d7-0939-49fb-b061-06a19468aa2b · outbound

This paper cites Truncated back- propagation for bilevel optimization.

Safe Gradient Flow for Bilevel Optimization Truncated back- propagation for bilevel optimization

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.429859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 91d099be-68db-4804-bfd3-d37fd39b14d1 · outbound

This paper cites Bilevel Programming for Hyperparameter Optimization and Meta-Learning.

Safe Gradient Flow for Bilevel Optimization Bilevel Programming for Hyperparameter Optimization and Meta-Learning

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.413101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2784ffff-9be9-4b9e-9793-1eda74913f72 · outbound

This paper cites On the iteration complexity of hypergradient computation.

Safe Gradient Flow for Bilevel Optimization On the iteration complexity of hypergradient computation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.396706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4fc689e2-f589-425d-a505-593475898af3 · outbound

This paper cites A Primal-Dual Approach to Bilevel Optimization with Multiple Inner Minima.

Safe Gradient Flow for Bilevel Optimization A Primal-Dual Approach to Bilevel Optimization with Multiple Inner Minima

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T12:47:06.629465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2922c2f6-a9ab-4dca-b39b-49299e38de02 · outbound

This paper cites On Finding Small Hyper-Gradients in Bilevel Optimization: Hardness Results and Improved Analysis.

Safe Gradient Flow for Bilevel Optimization On Finding Small Hyper-Gradients in Bilevel Optimization: Hardness Results and Improved Analysis

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T12:47:06.634537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba480e5b-0cfb-496d-a92c-f4e5b5d2d2b7 · outbound

This paper cites A Method for Bilevel Optimization with Convex Lower-Level Problem.

Safe Gradient Flow for Bilevel Optimization A Method for Bilevel Optimization with Convex Lower-Level Problem

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.379795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 46e695f0-00fd-4432-acbd-5c23fcaf2747 · outbound

This paper cites Bome! bilevel optimization made easy: A simple first-order approach.

Safe Gradient Flow for Bilevel Optimization Bome! bilevel optimization made easy: A simple first-order approach

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.364426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0fd11701-0f5e-4630-a2ad-347508a9c6f0 · outbound

This paper cites A Generalized Alternating Method for Bilevel Learning under the Polyak-{\L}ojasiewicz Condition.

Safe Gradient Flow for Bilevel Optimization A Generalized Alternating Method for Bilevel Learning under the Polyak-{\L}ojasiewicz Condition

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T12:47:06.648539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae81baad-5d70-4268-b581-8315acdbfaf4 · outbound

This paper cites Alternating projected sgd for equality- constrained bilevel optimization.

Safe Gradient Flow for Bilevel Optimization Alternating projected sgd for equality- constrained bilevel optimization

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.347847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1bfabe2d-0c20-4a10-89d8-467b2d1a9ab3 · outbound

This paper cites Linearly constrained bilevel optimization: A smoothed implicit gradient ap- proach.

Safe Gradient Flow for Bilevel Optimization Linearly constrained bilevel optimization: A smoothed implicit gradient ap- proach

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.331974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e12a9267-3bde-47f3-940d-25938d3e5e91 · outbound

This paper cites Efficient gradient approximation method for constrained bilevel optimization.

Safe Gradient Flow for Bilevel Optimization Efficient gradient approximation method for constrained bilevel optimization

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.313408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d264aecf-375e-4f0b-a54c-a290ff9d555c · outbound

This paper cites First-Order Methods for Linearly Constrained Bilevel Optimization.

Safe Gradient Flow for Bilevel Optimization First-Order Methods for Linearly Constrained Bilevel Optimization

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:47:06.864165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 880c716d-ceb3-4ebe-9a7a-afcfe9ee6306 · outbound

This paper cites Control barrier function based quadratic programs for safety critical systems.

Safe Gradient Flow for Bilevel Optimization Control barrier function based quadratic programs for safety critical systems

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.296327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3a73ee82-078b-463c-88b6-3dd6cd41df22 · outbound

This paper cites Control barrier functions: Theory and applications.

Safe Gradient Flow for Bilevel Optimization Control barrier functions: Theory and applications

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.278972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0b6a13b5-dc07-46f1-8795-17b1949c5949 · outbound

This paper cites Zero-Order Control Barrier Functions for Sampled-Data Systems with State and Input Dependent Safety Constraints.

Safe Gradient Flow for Bilevel Optimization Zero-Order Control Barrier Functions for Sampled-Data Systems with State and Input Dependent Safety Constraints

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:47:06.842111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 74136ecd-149b-46c3-bef5-2b9c7a7d09d6 · outbound

This paper cites On constraints in first-order optimization: A view from non-smooth dynamical systems.

Safe Gradient Flow for Bilevel Optimization On constraints in first-order optimization: A view from non-smooth dynamical systems

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.259954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f2dda5e-4c7a-4fcd-87db-044fabe0c37b · outbound

This paper cites Control barrier function-based design of gradient flows for constrained nonlinear programming.

Safe Gradient Flow for Bilevel Optimization Control barrier function-based design of gradient flows for constrained nonlinear programming

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.240415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bb5cefff-be0f-4c4a-9bb6-5d41d264dda4 · outbound

This paper cites Anytime solution of constrained nonlinear programs via control barrier functions.

Safe Gradient Flow for Bilevel Optimization Anytime solution of constrained nonlinear programs via control barrier functions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.220847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation af5d2dd5-d7f9-4835-bdfa-24a0851df13c · outbound

This paper cites Orthogonal Directions Constrained Gradient Method: from non-linear equality constraints to Stiefel man- ifold.

Safe Gradient Flow for Bilevel Optimization Orthogonal Directions Constrained Gradient Method: from non-linear equality constraints to Stiefel man- ifold

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.201568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d1b7d7e8-f43d-47fb-a380-c1791687e4e2 · outbound

This paper cites A geometric method in nonlinear programming.

Safe Gradient Flow for Bilevel Optimization A geometric method in nonlinear programming

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.179989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 70f9877a-5595-47e2-aafb-821eae1839ef · outbound

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

Safe Gradient Flow for Bilevel Optimization A single-timescale method for stochastic bilevel optimization

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.161687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d1325a93-5300-4a1f-8eac-db9479cb6b3d · outbound

This paper cites Two-timescale stochastic gradient descent in continuous time with applications to joint online parameter estimation and optimal sensor placement.

Safe Gradient Flow for Bilevel Optimization Two-timescale stochastic gradient descent in continuous time with applications to joint online parameter estimation and optimal sensor placement

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.144179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f3cf8d6a-c8cb-4f44-b131-f37795e6550f · outbound

This paper cites On a continuous time stochastic approximation problem.

Safe Gradient Flow for Bilevel Optimization On a continuous time stochastic approximation problem

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.127650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd71e638-f276-4a28-b149-7368c47c0d9d · outbound

This paper cites Connection between continuous and discrete Riccati equations with applications to Kalman filtering.

Safe Gradient Flow for Bilevel Optimization Connection between continuous and discrete Riccati equations with applications to Kalman filtering

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.110301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6bcf1352-7998-4c94-982e-05d3232cabe4 · outbound

This paper cites Least squares identification for continuous-time systems.

Safe Gradient Flow for Bilevel Optimization Least squares identification for continuous-time systems

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.092420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 91c8c015-b27f-409b-b376-c47601e7f396 · outbound

This paper cites Stochastic gradient descent in continuous time.

Safe Gradient Flow for Bilevel Optimization Stochastic gradient descent in continuous time

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.076312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation af231fa9-bb00-4d60-ad96-605e8d06fab4 · outbound

This paper cites Principles of Mathematical Analysis.

Safe Gradient Flow for Bilevel Optimization Principles of Mathematical Analysis

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.059008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a362f420-3a1b-456d-9eba-e83266079bd9 · outbound

This paper cites An Inexact Conditional Gradient Method for Constrained Bilevel Optimization.

Safe Gradient Flow for Bilevel Optimization An Inexact Conditional Gradient Method for Constrained Bilevel Optimization

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-10T12:47:06.817579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4c1e1af4-8430-47c0-97ca-1248dc934a82 · outbound

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

Safe Gradient Flow for Bilevel Optimization Bilevel optimization: Convergence analysis and enhanced design

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.041179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bb641003-5292-4cca-93b6-53d02f075297 · outbound

This paper cites Directional derivatives of the solution of a parametric nonlinear program.

Safe Gradient Flow for Bilevel Optimization Directional derivatives of the solution of a parametric nonlinear program

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.023028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 616555ff-4ea5-4613-aa16-2cffc1968604 · outbound

This paper cites Lectures on convex optimization.

Safe Gradient Flow for Bilevel Optimization Lectures on convex optimization

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:07.005323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e10ebc6e-8f0f-4618-9283-10f4ca30f43a · outbound

This paper cites Nonlinear dynamical systems and control: a Lyapunov-based approach.

Safe Gradient Flow for Bilevel Optimization Nonlinear dynamical systems and control: a Lyapunov-based approach

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:06.987183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 897a32a2-0c27-4873-b303-b7d412e971df · outbound

This paper cites Prediction- correction interior-point method for time-varying convex optimization.

Safe Gradient Flow for Bilevel Optimization Prediction- correction interior-point method for time-varying convex optimization

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:47:06.969216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 67418ff0-04ef-4284-b128-8936d9fe138e · inbound

Sequential QCQP for Bilevel Optimization with Line Search cites this paper.

Sequential QCQP for Bilevel Optimization with Line Search Safe Gradient Flow for Bilevel Optimization

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:38:17.950378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.