Paper Citation Record · LEDGER

Gradient Flow Algorithms for Density Propagation in Stochastic Systems

As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:1908.00533.

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pith.paper-citation-record.v1
1908.00533 v2

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measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T15:56:55.635623Z

measured 53 of 53 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:32:37.968564Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-14T15:32:38.015356Z

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation a31ffcce-edc3-4705-a183-1560badff105 · outbound

This paper cites Risken, Fokker-Planck equation: Methods of solution and applica- tions.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Risken, Fokker-Planck equation: Methods of solution and applica- tions

Reference 1

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Observation 610e5308-cbeb-4537-ae3c-4fab27b1c9d3 · outbound

This paper cites The Liouville equation and its potential usefulness for the prediction of forecast skill. part I: Theory,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems The Liouville equation and its potential usefulness for the prediction of forecast skill. part I: Theory,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.279685Z

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Observation 40cf0a83-6386-49a0-a5ff-77d4c9dbd3a8 · outbound

This paper cites Beyond Monte Carlo: A computational framework for uncertainty propagation in planetary entry, descent and landing,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Beyond Monte Carlo: A computational framework for uncertainty propagation in planetary entry, descent and landing,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.269638Z

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Observation c78f97da-4e0e-44b1-b77b-9485f868669c · outbound

This paper cites Dispersion analysis in hypersonic ﬂight during planetary entry using stochastic Liouville equation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Dispersion analysis in hypersonic ﬂight during planetary entry using stochastic Liouville equation,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.259480Z

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Observation 63ca47b9-acb8-49bc-9f47-867a162e9e1b · outbound

This paper cites Fokker-Planck-equation approach to ﬂow alignment in liquid crystals,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Fokker-Planck-equation approach to ﬂow alignment in liquid crystals,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.249009Z

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Observation 8e5e85fd-7f56-48c1-81bd-983b2b40193e · outbound

This paper cites Mesoscopic interpretation of Fokker-Planck equation describing time behavior of liquid crystal orientation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Mesoscopic interpretation of Fokker-Planck equation describing time behavior of liquid crystal orientation,

Reference 6

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Observation 23dcba44-2c97-4c79-b852-b8100f2b972e · outbound

This paper cites Analytical solutions for rotational diffusion in the mean ﬁeld potential: application to the theory of dielectric relaxation in nematic liquid crystals,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Analytical solutions for rotational diffusion in the mean ﬁeld potential: application to the theory of dielectric relaxation in nematic liquid crystals,

Reference 7

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Observation 777bd6ef-fa9c-4ec4-b131-6b924a06dd55 · outbound

This paper cites Diffusion-based motion planning for a nonholonomic ﬂexible needle model,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Diffusion-based motion planning for a nonholonomic ﬂexible needle model,

Reference 8

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Observation ba4b147a-85d5-4773-8291-9d13855e3958 · outbound

This paper cites Kinematic state estimation and motion planning for stochastic nonholonomic sys- tems using the exponential map,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Kinematic state estimation and motion planning for stochastic nonholonomic sys- tems using the exponential map,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.206594Z

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Observation cdfde6a6-61fd-46db-9d65-264a6bb880c9 · outbound

This paper cites A framework of space–time continuous models for algorithm design in swarm robotics,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems A framework of space–time continuous models for algorithm design in swarm robotics,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.195459Z

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Observation 4db44090-50d2-40d7-a635-2ed91b2992f9 · outbound

This paper cites Nonlinear ﬁlter design using Fokker- Planck-Kolmogorov probability density evolutions,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Nonlinear ﬁlter design using Fokker- Planck-Kolmogorov probability density evolutions,

Reference 11

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Observation 07b48c17-7b78-4c77-aa24-8d030f1d0ffd · outbound

This paper cites Nonlinear ﬁlters: beyond the Kalman ﬁlter,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Nonlinear ﬁlters: beyond the Kalman ﬁlter,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.173796Z

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Observation 63b09106-d28b-43f6-8862-05ccf8b26208 · outbound

This paper cites Model validation: A probabilistic formulation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Model validation: A probabilistic formulation,

Reference 13

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Observation ddccd122-604f-48ef-8b42-b47aa3608ef7 · outbound

This paper cites Further results on probabilistic model validation in Wasserstein metric,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Further results on probabilistic model validation in Wasserstein metric,

Reference 14

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Observation 28694d9b-f836-42d3-a5c6-cadfdf19c02b · outbound

This paper cites Probabilistic model validation for uncertain nonlinear systems,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Probabilistic model validation for uncertain nonlinear systems,

Reference 15

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Observation 9485bf04-ec0b-4ab1-9fbe-ef54762637ba · outbound

This paper cites Optimal transport approach for probabilistic robustness analysis of F-16 controllers,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Optimal transport approach for probabilistic robustness analysis of F-16 controllers,

Reference 16

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Observation bc045e8f-b66a-42f0-9225-5573f427c81b · outbound

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Gradient Flow Algorithms for Density Propagation in Stochastic Systems Unresolved cited work

Reference 17

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Observation 903fd4db-ed27-4298-842a-5f6f2ca938b2 · outbound

This paper cites Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems

Reference 18

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Observation 64441bfb-7d5e-4d6e-a80a-3d81419f7a11 · outbound

This paper cites Gradient ﬂows in ﬁltering and Fisher-Rao geometry,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Gradient ﬂows in ﬁltering and Fisher-Rao geometry,

Reference 19

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Observation 628231f0-d1be-41b4-bf34-db5ffad2e28f · outbound

This paper cites Proximal algorithms,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Proximal algorithms,

Reference 20

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This paper cites The variational formulation of the Fokker–Planck equation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems The variational formulation of the Fokker–Planck equation,

Reference 21

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Observation 80647fcd-3446-40dc-afe5-759961f043a1 · outbound

This paper cites Villani, Topics in optimal transportation.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Villani, Topics in optimal transportation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.079782Z

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Observation a87a225d-eeac-4d54-b84e-8910ffe63d69 · outbound

This paper cites Ambrosio, N.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Ambrosio, N

Reference 23

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Observation e6d0e1ae-b9ad-4c2b-bb76-c66638cda0cc · outbound

This paper cites {Euclidean, metric, and Wasserstein} gradient ﬂows: an overview,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems {Euclidean, metric, and Wasserstein} gradient ﬂows: an overview,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.058787Z

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Observation 018075d0-aabb-4067-931d-60dee4f4a224 · outbound

This paper cites Proximal recursion for solving the Fokker- Planck equation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Proximal recursion for solving the Fokker- Planck equation,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.047016Z

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This paper cites A computational ﬂuid mechanics so- lution to the monge-kantorovich mass transfer problem,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems A computational ﬂuid mechanics so- lution to the monge-kantorovich mass transfer problem,

Reference 26

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Observation 7b427431-7f45-4dfa-a6c9-6c66f5352d60 · outbound

This paper cites Nonlocal crowd dynamics models for several populations,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Nonlocal crowd dynamics models for several populations,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.023872Z

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Observation 3956a445-9fe2-4e08-83bd-ac33a688f5df · outbound

This paper cites The bounded conﬁdence model of opinion dynamics,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems The bounded conﬁdence model of opinion dynamics,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.012964Z

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Observation 0fc878a0-bb41-41e9-9da1-4bb2419c6ab5 · outbound

This paper cites Stability theory of stochastic models in opinion dynamics,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Stability theory of stochastic models in opinion dynamics,

Reference 29

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Observation 57a5b892-78a1-4130-ae7e-a8b39ed935d7 · outbound

This paper cites Trend to equilibrium for dissipative equations, functional inequalities and mass transportation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Trend to equilibrium for dissipative equations, functional inequalities and mass transportation,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:56.002493Z

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Observation b88cd1aa-88f6-4e7a-9aea-afadd5d5cc59 · outbound

This paper cites Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.991617Z

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Observation 8e3dcb78-bc61-4608-a813-a61e0dfbaad9 · outbound

This paper cites Generalized Sinkhorn iterations for regular- izing inverse problems using optimal mass transport,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Generalized Sinkhorn iterations for regular- izing inverse problems using optimal mass transport,

Reference 32

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Observation 90ad09e3-8cec-4f6f-a121-18b4de7f9bfc · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Sinkhorn distances: Lightspeed computation of optimal transport,

Reference 33

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Observation 4002f00b-2fe4-45c0-bf94-48823d3a6791 · outbound

This paper cites Iterative Bregman projections for regularized transportation problems,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Iterative Bregman projections for regularized transportation problems,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.967210Z

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Observation 02ade040-3f52-414a-b77c-76c89806d923 · outbound

This paper cites Entropic and displacement interpolation: a computational approach using the Hilbert metric,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Entropic and displacement interpolation: a computational approach using the Hilbert metric,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.956805Z

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Observation 354fea4b-b6aa-42f1-95b9-e84687d52ead · outbound

This paper cites On the relation between optimal transport and Schr ¨odinger bridges: A stochastic control viewpoint,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems On the relation between optimal transport and Schr ¨odinger bridges: A stochastic control viewpoint,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.945581Z

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Observation 384824a9-eac2-47c2-be4b-4331514e1392 · outbound

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Gradient Flow Algorithms for Density Propagation in Stochastic Systems Unresolved cited work

Reference 37

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Observation acca1a5f-78e3-4605-9262-d1f0d49b3f09 · outbound

This paper cites Strong and weak diver- gence in ﬁnite time of Euler’s method for stochastic differential equations with non-globally Lipschitz continuous coefﬁcients,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Strong and weak diver- gence in ﬁnite time of Euler’s method for stochastic differential equations with non-globally Lipschitz continuous coefﬁcients,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.924240Z

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Observation 45f7233d-90a1-4bc2-9606-dcc2e39068a9 · outbound

This paper cites Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefﬁcients,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefﬁcients,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.912751Z

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Observation f1a975f5-d288-4cc4-9d93-6d8d78524537 · outbound

This paper cites Hutzenthaler and A.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Hutzenthaler and A

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.902466Z

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Observation 212e2d65-bd0f-4996-8999-6b5398aec9bf · outbound

This paper cites Strong convergence of Euler-type methods for nonlinear stochastic differential equations,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Strong convergence of Euler-type methods for nonlinear stochastic differential equations,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.891896Z

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Observation 24e4c113-eb2e-440d-bdde-bd28b4844042 · outbound

This paper cites On certain contraction mappings in a partially ordered vector space,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems On certain contraction mappings in a partially ordered vector space,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.881576Z

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Observation 2ee10082-2335-49ac-a471-8cdc6ac172e9 · outbound

This paper cites Nonlinear equations based on jointly homogeneous mappings,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Nonlinear equations based on jointly homogeneous mappings,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.870840Z

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Observation 3a37ca6b-0606-47f2-acd2-5852987a633f · outbound

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Gradient Flow Algorithms for Density Propagation in Stochastic Systems Unresolved cited work

Reference 44

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Observation f92848c3-459d-4ac4-b7ff-3ba6de3b5814 · outbound

This paper cites Uniform propagation of chaos for McKean-Vlasov equations,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Uniform propagation of chaos for McKean-Vlasov equations,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.849368Z

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Observation 3e865480-689b-4f2a-be9a-a5d20dfaf329 · outbound

This paper cites An augmented Lagrangian approach to Wasserstein gradient ﬂows and applications,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems An augmented Lagrangian approach to Wasserstein gradient ﬂows and applications,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.839062Z

Source-reported events for the cited work

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Observation 9d977b6b-3be0-46b1-b261-7afbe232be5d · outbound

This paper cites On some nonlinear evolution systems which are pertur- bations of Wasserstein gradient ﬂows,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems On some nonlinear evolution systems which are pertur- bations of Wasserstein gradient ﬂows,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.827948Z

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 a0fe70a4-da19-4db3-922c-3f1277e8d59e · outbound

This paper cites A theory of the term structure of interest rates,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems A theory of the term structure of interest rates,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.816182Z

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Observation 5f9f91fd-79d4-4617-a8dc-6ea26169a18a · outbound

This paper cites an unresolved cited work.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:56:55.805140Z

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 8b72aac0-032a-480d-bee0-1eb6c1223292 · outbound

This paper cites Functional quantization of a class of Brownian diffusions: a constructive approach,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Functional quantization of a class of Brownian diffusions: a constructive approach,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.793852Z

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Observation 16c7b50c-5dbe-4975-af2d-e8952dbce49b · outbound

This paper cites Uncertainty forecasting in the perturbed two- body problem via tensor decomposition,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Uncertainty forecasting in the perturbed two- body problem via tensor decomposition,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.782405Z

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Observation 8711031a-b7ee-4651-bf67-8a01b40686e9 · outbound

This paper cites Conservative-dissipative approximation schemes for a generalized Kramers equation,.

Gradient Flow Algorithms for Density Propagation in Stochastic Systems Conservative-dissipative approximation schemes for a generalized Kramers equation,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:56:55.770907Z

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Pith citing papers

Observation ece47cd9-aa72-44ac-9896-b61213a2eb55 · inbound

Hopfield Neural Network Flow: A Geometric Viewpoint cites this paper.

Hopfield Neural Network Flow: A Geometric Viewpoint Gradient Flow Algorithms for Density Propagation in Stochastic Systems

Reference 94

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:32:38.022419Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.