Paper Citation Record · LEDGER

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2412.04157.

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

pith.paper-citation-record.v1
2412.04157 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:51:50.863746Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:05:59.445856Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy32
unresolved4
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0d2b1b9-ef7e-433e-a369-9d03be5f3413 · outbound

This paper cites Improved algorithms for linear stochastic bandits.Advances in neural information processing systems , 24, 2011.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Improved algorithms for linear stochastic bandits.Advances in neural information processing systems , 24, 2011

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.363770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18f42d42-4867-4914-843a-81278adaffdf · outbound

This paper cites Regret bounds for the adaptive control of linear quadratic systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Regret bounds for the adaptive control of linear quadratic systems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.351426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 080e772d-6c74-46c1-b341-57f72dd97a58 · outbound

This paper cites Forward completeness, unboundedness observability, and their lyapunov characterizations.Systems & Control Letters, 38(4- 5):209–217, 1999.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Forward completeness, unboundedness observability, and their lyapunov characterizations.Systems & Control Letters, 38(4- 5):209–217, 1999

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.338823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 276ac7f0-d6cc-49aa-b2a9-e694cee1858e · outbound

This paper cites Finite sample properties of system identification methods.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Finite sample properties of system identification methods

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.325905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9fd7804b-56d8-4b62-b3cd-19efcac49adb · outbound

This paper cites Regret bounds for robust adaptive control of the linear quadratic regulator.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Regret bounds for robust adaptive control of the linear quadratic regulator

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.312373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f23e0641-7059-4d86-b3e0-684b13863d2f · outbound

This paper cites Finite time identification in unstable linear systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Finite time identification in unstable linear systems

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.299193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 48894fc1-72ec-43d1-8f24-ceaedeb74900 · outbound

This paper cites Learning nonlinear dynamical systems from a single trajectory.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Learning nonlinear dynamical systems from a single trajectory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.286397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b1951264-9d21-4ec9-badb-9b10315aa08e · outbound

This paper cites Discrete-time stochastic control systems: A continuous lyapunov function implies robustness to strictly causal perturbations.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Discrete-time stochastic control systems: A continuous lyapunov function implies robustness to strictly causal perturbations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.273297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9c72521c-1a89-4d7c-8b80-0019fb507e28 · outbound

This paper cites Self-convergence of weighted least-squares with applications to stochastic adaptive control.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Self-convergence of weighted least-squares with applications to stochastic adaptive control

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.259656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 411b60ee-a13f-4cb4-ad35-60b3c6be6457 · outbound

This paper cites Foundations of modern probability, volume 2.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Foundations of modern probability, volume 2

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T21:51:50.759761Z

Source-reported events for the cited work

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Observation b588b4ea-2962-433b-9165-b7accb13c528 · outbound

This paper cites Rates of uniform convergence of empirical means with mixing processes.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Rates of uniform convergence of empirical means with mixing processes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.238699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c17241eb-8b86-42a2-83b1-abbec0ee84a0 · outbound

This paper cites Near-optimal offline and streaming algorithms for learning non-linear dynamical systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Near-optimal offline and streaming algorithms for learning non-linear dynamical systems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.227245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 07762865-2a28-4fdb-96ab-c1c8cba41b17 · outbound

This paper cites Asymptotic properties of general autoregressive models and strong consistency of least-squares estimates of their parameters.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Asymptotic properties of general autoregressive models and strong consistency of least-squares estimates of their parameters

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.215793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c4ebbc8f-058e-43f0-858e-0a0eebf1c4b7 · outbound

This paper cites Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems.The Annals of Statistics, 10(1):154–166, 1982.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems.The Annals of Statistics, 10(1):154–166, 1982

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.202394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 61a7fb1d-992d-42bd-a0d2-c8658d4fdfab · outbound

This paper cites Reinforcement learning with fast stabilization in linear dynamical systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Reinforcement learning with fast stabilization in linear dynamical systems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.189334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 16e04776-29b1-483b-babd-c88fac647660 · outbound

This paper cites Bandit algorithms.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Bandit algorithms

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.176706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3af9d258-c581-404f-a6bd-cad6eb336a16 · outbound

This paper cites Non-asymptotic System Identification for Linear Systems with Nonlinear Policies.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Non-asymptotic System Identification for Linear Systems with Nonlinear Policies

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:51:50.930897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation db060409-685f-410e-9281-4b6f8e889b2e · outbound

This paper cites On the convergence of least squares estimator for nonlinear autoregressive models.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems On the convergence of least squares estimator for nonlinear autoregressive models

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.164200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 24711380-d88f-4d55-a2d6-dfa5e58c8f31 · outbound

This paper cites Active Learning for Nonlinear System Identification with Guarantees.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Active Learning for Nonlinear System Identification with Guarantees

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T21:51:50.795037Z

Source-reported events for the cited work

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Observation 29dba779-8eee-4fc2-b60f-5eee7802b0e1 · outbound

This paper cites A tutorial on concentration bounds for system identification.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems A tutorial on concentration bounds for system identification

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.151391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8bdb581-63b9-4867-b27f-3be2611be7c8 · outbound

This paper cites Revisiting ho–kalman- based system identification: Robustness and finite-sample analysis.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Revisiting ho–kalman- based system identification: Robustness and finite-sample analysis

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.138486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 96a7fb59-c8d7-4d45-8c58-73e8833f320c · outbound

This paper cites Near optimal finite time identification of arbitrary linear dynamical systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Near optimal finite time identification of arbitrary linear dynamical systems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.124739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3470b510-2049-42cf-ba64-289c6657d2de · outbound

This paper cites Finite time lti system identification.The Journal of Machine Learning Research, 22(1):1186–1246, 2021.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Finite time lti system identification.The Journal of Machine Learning Research, 22(1):1186–1246, 2021

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.111550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2cad87a7-165b-4bf1-8a45-8223e46a704c · outbound

This paper cites Non-asymptotic and accurate learning of nonlinear dynamical systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Non-asymptotic and accurate learning of nonlinear dynamical systems

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.098042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0106ebc9-5df1-4d5d-846f-dcfecc64fb20 · outbound

This paper cites Finite sample identification of bilinear dynamical systems.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Finite sample identification of bilinear dynamical systems

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.084505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f89319de-9c07-4f04-9a3e-0f95cc7e3c4f · outbound

This paper cites Naive exploration is optimal for online lqr.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Naive exploration is optimal for online lqr

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.072548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fa0f2c26-32c1-4c0f-b6ca-397d20e5d0a9 · outbound

This paper cites Learning without mixing: Towards a sharp analysis of linear system identification.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Learning without mixing: Towards a sharp analysis of linear system identification

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.060309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 00a24cf5-6f0b-4bee-acfe-e2ab64755afc · outbound

This paper cites On the continuity of the generalized inverse.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems On the continuity of the generalized inverse

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.047516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aaaa737e-f112-4b09-a5cb-62403ae47018 · outbound

This paper cites Finite sample analysis of stochastic system identification.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Finite sample analysis of stochastic system identification

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.034342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 79758392-6562-46a7-aaff-13211f263783 · outbound

This paper cites Statistical Learning Theory for Control: A Finite Sample Perspective.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Statistical Learning Theory for Control: A Finite Sample Perspective

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T21:51:50.835762Z

Source-reported events for the cited work

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Observation d015d178-fbef-460f-82ab-4ac1cd77c704 · outbound

This paper cites High-dimensional probability: An introduction with applications in data science , volume 47.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems High-dimensional probability: An introduction with applications in data science , volume 47

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T21:51:50.839777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5d45622-b9f4-4b34-b8f0-458c2f6d47a0 · outbound

This paper cites A learning theory approach to system identification and stochastic adaptive control.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems A learning theory approach to system identification and stochastic adaptive control

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:51.013098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c62804c0-a228-4de6-b394-118cbc6181a7 · outbound

This paper cites Finite sample properties of linear model identification.IEEE Transactions on Automatic Control , 44(7):1370–1383, 1999.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Finite sample properties of linear model identification.IEEE Transactions on Automatic Control , 44(7):1370–1383, 1999

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:50.998405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7f8e57eb-fefa-4c3e-a711-59e5a2c0f8ac · outbound

This paper cites Real analysis: theory of measure and integration.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Real analysis: theory of measure and integration

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:50.984944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 703d3e43-015f-44d7-9619-91a832bcda07 · outbound

This paper cites Learning with little mixing.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Learning with little mixing

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:50.971862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82570a35-9f31-495f-8d84-be90f73711e9 · outbound

This paper cites Single trajectory nonparametric learning of nonlinear dynamics.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Single trajectory nonparametric learning of nonlinear dynamics

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:50.958007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 176750e7-775f-46e7-92f2-48ff3a139690 · outbound

This paper cites Trigonometric series , volume 1.

Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems Trigonometric series , volume 1

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:51:50.945016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 4eff1995-14dd-4d64-9b33-4b747787d30a · inbound

Non-asymptotic Bounds of Learning-based Linear MPC With Input Constraints and Unbounded Stochastic Noise cites this paper.

Non-asymptotic Bounds of Learning-based Linear MPC With Input Constraints and Unbounded Stochastic Noise Non-Asymptotic Bounds for Closed-Loop Identification of Unstable Nonlinear Stochastic Systems

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T05:05:59.445856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.