Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:45:12.939342Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2507.02131.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:45:12.939342Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4019962a-83ed-4129-b8a9-451a02ac9056 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Natural gradient works efficiently in learning
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 999271e3-3eaa-4553-90cc-4ce0b3292191 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Why natural gradient? In Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing , volume 2, pages 1213–1216, 1998
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b96b07d7-fa4b-442e-bf05-bbd761e99cb2 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Intrinsic robustness of global asymptotic stability
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7eaf27d4-9a56-427a-be3f-9c70c3dcb97c · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Robust accelerated gradient methods for smooth strongly convex functions
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e7440cc7-edd5-4ab8-8ea9-ec991c929b0e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Nonlinear Programming
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cd20acbc-cb7f-4d1d-a109-b61f8e1523fa · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Bertsekas and John N
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0f0fb140-d289-44b5-9538-15fdd4b0f1be · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Bertsekas and John N
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation be855d86-ddfa-458a-9178-2dc3fc2ba59b · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Poveda, and Emiliano Dall’Anese
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9175930b-44d0-4652-b7cf-9f569b2d61db · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable On Topological and Metrical Properties of Stabilizing Feedback Gains: the MIMO Case
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7cdc2d0-2449-4b25-aab7-3b91cc0ff182 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Policy Gradient-based Algorithms for Continuous-time Linear Quadratic Control
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db794b79-1aae-420d-91fc-10fcb94a2f3e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable The role of convexity in saddle-point dynamics: Lyapunov function and robustness
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23d14a74-a7a5-4ec0-8d62-f71cbf6a4adc · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4028b3bb-5135-490c-80ec-1b507d9bcdb5 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Input-to-state stability of a bilevel proximal gradient descent algorithm
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b012db8f-86ac-46b7-93bf-c426a387724b · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable A robust accelerated optimization algorithm for strongly convex functions
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 51bee6ce-6aaf-4aa4-90dc-d10ceecc7e87 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable First- order methods of smooth convex optimization with inexact oracle
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e4d4c17c-9fbb-4761-abea-6b04ee2fe145 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Global convergence of policy gradient methods for the linear quadratic regulator
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8e072483-5ea6-44e2-a4f4-57c2f2787876 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Convex open subsets of Rn are homeomorphic to n-dimensional open balls
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d7c8da69-1c98-4884-b743-73bbd93c9b18 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable On a Newton-like method for solving algebraic Riccati equations
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d0dfad06-2497-4aa6-81e6-438859f0012e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Stability of Motion
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a9a71c16-27cb-47fe-97a0-ddb407f3e78f · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Dissipativity theory for Nesterov’s accelerated method
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dd2d125b-618a-41b7-9837-943891c47a9d · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Toward a theoretical foundation of policy optimization for learning control policies
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 35fd2368-b261-47b8-bc56-9ec91759050d · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Robust Adaptive Dynamic Programming
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dbe865fe-925a-4d6a-8002-caa5c87faf5a · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Learning- based control: A tutorial and some recent results
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cf2b99d2-ddb4-4653-8fa7-55a70f83bd95 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Teel, and Laurent Praly
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5baed8f2-cc54-44d8-a602-d778740a65c0 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Input-to-state stability for discrete-time nonlinear systems
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b51150e6-2443-4396-9f99-7addf3c5a6af · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable A converse Lyapunov theorem for discrete-time systems with disturbances.Systems & Control Letters , 45(1):49–58, 2002
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 16ea31a4-9822-4321-a7d6-e71f5ce3fb49 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Dynamical, symplectic and stochastic perspectives on gradient-based optimization
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c56d7e03-92c5-4e48-b078-afa1192b1014 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Contributions to the theory of optimal control
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 37c57029-541e-4b73-a109-666a42f80ef4 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Linear convergence of gradient and proximal-gradient methods under the Polyak- Lojasiewicz condition
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 10c9d03d-7308-4d35-b9c9-5c48c71cdf24 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Adam: A Method for Stochastic Optimization
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a71d7601-e957-4c7c-8e65-413851ecd323 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Kleinman
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3894cd58-7db7-49f9-905c-9d2b61d9e4fc · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Actor-critic algorithms
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 59a6bae2-7a33-4ce1-8c51-fdd5e980a2c7 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Analysis and design of optimization algorithms via integral quadratic constraints
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fb9eaf88-1f2f-4f50-9e6e-9c9db6f543af · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Levine and Michael Athans
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c90f5fc9-214f-4003-858e-5f51a2984132 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Distributed reinforcement learning for decentralized linear quadratic control: A derivative-free policy optimization approach
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 50667f4e-144f-46f2-8dbe-2fe561bb7f25 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Continuous control with deep reinforcement learning
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5214e0e1-8790-4643-9938-238424868ae4 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable A topological property of real analytic subsets (in French)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 11e386de-8597-4cc1-98a5-b78fc902733e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Computational methods for parametric LQ problems–A survey
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d8172d8f-52ea-4034-a86b-e6fe6b31dbd9 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Jovanovi´ c
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 76c478a3-8a5f-48f1-a808-c54f31599749 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Jovanovi´ c
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0f85367e-a48b-42c0-8d1c-35ce48362f59 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable A systematic approach to Lyapunov analyses of continuous- time models in convex optimization
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d25a08f3-bb37-4652-8ba6-c7633a772090 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Introductory Lectures on Convex Optimization: A Basic Course , volume 87
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e736fc66-6d01-40ea-8d40-c6a9ad01c242 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f1ad3848-a1cd-4d11-b936-b63aab38a848 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Robust policy iteration for continuous-time linear quadratic regulation
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4318f1e7-4995-441e-92cf-25060c7bcef4 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Robust reinforcement learning: A case study in linear quadratic regulation
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f52f9c84-9dbd-48b4-8f5a-9d3be1828dc6 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable The Matrix Cookbook, October 2008
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6e57c7a3-0010-4314-b93c-a9f00b3fc389 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 522cceb8-a2be-4012-ad8c-7c87fd1e4e43 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bb844e5a-9b80-440c-abee-0fa777322a4a · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Poveda and Miroslav Krsti´ c
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0ddc2ee8-46fa-4b6f-ab8a-83b476d948ae · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Trust region policy optimization
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a8b8f215-5c0a-409b-ac3e-accfebf6859e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Proximal Policy Optimization Algorithms
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c50d164f-ac3e-44d7-bf67-99fb1c607b16 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Error stability properties of generalized gradient-type algorithms
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6419b562-5a10-45d9-b89d-977eca8bfb1e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 851de88d-8042-4e74-b2e2-bf24074db82d · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 14191f79-04d1-4c48-ad55-0865ede48d24 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fa8790fb-ef6d-4a83-bf25-418212936911 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 95bbea3b-6883-4778-8aec-5493d388dd5a · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Robustness and averaging properties of a large-amplitude, high-frequency extremum seeking control scheme
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8e6322a2-f4d4-4d88-bc37-dadab952639e · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Sutton and Andrew G
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 20a424fe-ebb3-4bd9-a6be-a2a262212b35 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1309a86b-5fc1-44b0-b692-2017633ee5e4 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Simple statistical gradient-following algorithms for connectionist reinforcement learning
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c824cba6-82f2-4f86-b1a6-546ac7a88f83 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Wilson, Ben Recht, and Michael I
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9968761c-2e80-410f-8a8b-cfd4a49b15a5 · outbound
Perturbed Gradient Descent Algorithms are Small-Disturbance Input-to-State Stable Wesley Wilson
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
No inbound Pith citation observations are available.