Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:32:37.980430Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:1908.01270.
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 2026-08-14T15:32:37.980430Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
68 of 68 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8599d347-c854-4ac4-99d6-0d8c75121db4 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Neural networks and physical systems with emerging collective computational abilities
Reference 1
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 5e1060b5-62af-4616-af13-cc389f35d3ac · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Neurons with graded response have collective computa- tional properties like those of two-state neurons
Reference 2
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 9797621a-a9ff-4183-bcf2-62b32eac9490 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Simple ‘neural’ optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit
Reference 3
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 4e2f9045-d3be-41b4-b60a-335af75bde3c · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Neural networks for nonlinear program- ming
Reference 4
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 7de77d35-4c37-4fb9-aef2-55efaa8b83a2 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Identification and control of dy- namical systems using neural networks
Reference 5
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 876cf07c-03f2-4e86-9227-385f0adcf985 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Hopfield neural networks for affine invariant matching
Reference 6
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 ea189c57-0389-4547-8a65-e481afd7b7f8 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Dual Hopfield methods for large-scale mixed-integer programming
Reference 7
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 d14e82e4-888f-4d44-bc56-86d51662c2f8 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Aluffi-Pentini, V
Reference 27
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 09748c24-2452-44c5-a19c-061038f47f0f · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Stochastic neural networks
Reference 28
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 e0bbdc03-ce0b-48ad-a132-abdf4520a4cb · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Robust stability for interval Hopfield neural networks with time delay
Reference 29
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 44f87295-6988-4a4b-8665-4165e5fae972 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Hopfield neural networks for optimization: study of the different dynamics
Reference 30
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 04fe5e25-aa7d-441f-8021-aef7e4062a27 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Natural gradient works efficiently in learning
Reference 31
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 c16fc81f-fb91-48aa-bb4e-77d5d6bc3402 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Nemirovskii, and D.B
Reference 33
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 d76bfad6-6b59-4ebd-971d-92b1bc148261 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint do Carmo, Riemannian Geometry , Birkh ¨auser, 1992
Reference 36
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 a610dc9a-1283-4dfb-9f19-366833ab466a · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Convex optimization: algorithms and convexity
Reference 38
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 b74d02ab-bcaf-41c3-a07b-af2a3c2d194d · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Rockafeller, Convex Analysis , Princeton University Press, 1970
Reference 39
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 b63b3689-53aa-40a9-8b09-fcfed0513202 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Accelerated Mirror Descent in Continuous and Discrete Time
Reference 40
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 91625b8c-73e5-4882-a67a-da379dcdad47 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Aluffi-Pentini, V
Reference 47
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 adc0c654-98fc-45e7-a096-3806b6de50a0 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Stochastic neural networks
Reference 48
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 7dbe2135-892f-4d14-befd-2648eb1a1756 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Robust stability for interval Hopfield neural networks with time delay
Reference 49
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 e9a2d6a3-884f-45dd-b493-49d1d3af18a5 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Hopfield neural networks for optimization: study of the different dynamics
Reference 50
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 c51dcdec-456e-493b-9dd9-df1d72a2d5f8 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Natural gradient works efficiently in learning
Reference 51
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 e3724307-049e-4ba3-85b0-80f9e662da9e · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Shima, The Geometry of Hessian Structures , World Scientific, 2007
Reference 52
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 7586e0eb-b825-4214-b228-c9c739780d4c · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Nemirovskii, and D.B
Reference 53
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 6783f78a-1a39-4280-83ef-005c5f82feb2 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Mirror descent and nonlinear projected subgradient methods for convex optimization
Reference 54
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 5407216f-2c16-419d-9450-34c3c108ab79 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint The information geometry of mirror descent
Reference 55
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 3677b3e7-59e4-4ba2-b274-42626d5ab595 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint doCarmo, Riemannian Geometry, Birkh ¨auser, 1992
Reference 56
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 5a904a64-00a6-4756-945a-4a5c5512489b · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
Reference 57
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 0c6087a2-91ff-42f8-bcb1-7ccae2646908 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Convex optimization: algorithms and convexity
Reference 58
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 c0649eaf-f640-4c1b-a3b8-a133d527dad5 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Rockafeller, Convex Analysis, Princeton University Press, 1970
Reference 59
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 c68f5c7a-8095-4669-b6f4-22fc3a9bcfef · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Accelerated Mirror Descent in Continuous and Discrete Time
Reference 60
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 0c6d083c-159c-415e-b7bd-846a34fb24ca · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Characterization of the subdifferentials of convex functions
Reference 61
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 20ec66f4-07fa-469e-8717-658de95b43c3 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint On Bregman V oronoi diagrams
Reference 62
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 84502f8d-a056-4e5c-acf7-ea36e4096ecf · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Clustering with Bregman divergences
Reference 63
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 3d25f76c-4393-4940-917c-3d191ee8cab1 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Economic load dispatch for piecewise quadratic cost function using Hopfield neural network
Reference 64
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 a67c2172-972c-4dcc-970e-45de5f212c9f · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Optimal environmental dispatching of electric power systems via an improved Hopfield neural network model
Reference 65
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 ceb7b024-3a3a-4373-a6e3-3f7ade5d9d4d · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Adaptive Hopfield neural networks for economic load dispatch
Reference 66
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 c67fe6b3-93bb-4b2d-bdd1-faa48dd6e2ef · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Diffusions for global optimization
Reference 67
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 e96fdbf5-efc5-4066-8fad-a97b11693b76 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Analog optimization with Wong’s stochastic neural net- work
Reference 68
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 3d758ad9-29a2-4ed4-b5cb-4ec4ed107172 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Global optimization via the Langevin equation
Reference 69
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 7978efb8-a981-49e2-a216-65d7bfbe773c · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Global optimization and stochastic differential equations
Reference 70
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 dfdd44aa-e4ee-4ee8-adf2-a73baf0742bc · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint A learning algorithm for Boltzmann machines
Reference 71
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 b6eba591-ee49-40f7-afd4-0fbfe33b2781 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Risken, The Fokker-Planck equation: Methods of solution and appli- cations
Reference 72
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 3886e565-f0ad-44e6-9fb1-dc0ad96a069a · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Exponential convergence to equilibrium for kinetic Fokker-Planck equations
Reference 73
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 038bd84c-a0d1-4f13-be1c-b07f22271501 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Oscillatory descent for function minimization
Reference 74
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 def33579-e910-4804-af02-9a4f5ee5c0bd · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Noisy recurrent neural networks: the continuous-time case
Reference 75
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 91f4f63f-d0da-4d6e-b1e3-d271a267bf41 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Villani, Topics in optimal transportation , American Mathematical Society, Providence, RI, 2003
Reference 76
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 10a3a684-544b-4266-b60e-e15d130074e7 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Convex functionals of probability measures and non- linear diffusions on manifolds
Reference 77
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 3c2aab32-5f53-4333-86af-c391c6ffc03a · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Gradient flows on Wasserstein spaces over compact Alexan- drov spaces
Reference 78
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 8c990836-0efc-4814-bd85-2c1c390269f5 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Reference 79
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 4b61885d-e371-43c4-a3e6-e8252db44da1 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
Reference 80
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 ff2e856b-b9a2-48a7-b1da-29c1fe973bf9 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint The geometry of dissipative evolution equations: the porous medium equation
Reference 81
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 a861a524-de43-409c-8ad3-9f53207ed546 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Villani, Optimal transport: old and new, Springer Science & Business Media, V ol
Reference 82
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 a775ebcb-0cfd-4064-8dae-afeeb285e365 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Ambrosio, N
Reference 83
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 16c6c42f-a3c9-49e2-b35b-4097671aaa99 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Notes on stochastic processes on manifolds
Reference 84
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 8946898d-3dab-45a8-b396-3f049b6a44b4 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint The variational formulation of the Fokker-Planck equation
Reference 85
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 45059c9b-2782-461c-9e56-8e417f241e34 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Constrained Steepest Descent in the 2- Wasserstein Metric
Reference 86
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 5259836b-f3d6-4e6e-9b3b-3872760e77a5 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint {Euclidean, metric, and Wasserstein} gradient flows: an overview
Reference 87
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 a46befee-125c-4311-8fd0-00db818309cf · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Proximit ´e et dualit ´e dans un espace hilbertien
Reference 88
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 9caffb30-b88e-4262-910d-eedd92100c4d · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Monotone operators and the proximal point algo- rithm
Reference 89
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 8f93a12b-a3da-47ba-a36d-868699c91b0b · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Bauschke, and P.L
Reference 90
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 d53c6aa0-0524-409d-9d61-8b785f5cb2c9 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Gradient flows in uncertainty propagation and filtering of linear Gaussian systems
Reference 91
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 d5bc6db8-ad5d-4959-a61b-536eb8e4ede5 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Gradient flows in filtering and Fisher- Rao Geometry
Reference 92
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 05104e48-45ad-46c3-b881-b6d0bee5e384 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Proximal recursion for solving the Fokker- Planck equation
Reference 93
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 ece47cd9-aa72-44ac-9896-b61213a2eb55 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Gradient Flow Algorithms for Density Propagation in Stochastic Systems
Reference 94
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 424cb213-9b6d-4265-b5bd-ea2aea4a275f · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Proximal algorithms
Reference 95
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 2a933314-494a-4bdf-b875-0b4f96096433 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Himmelblau, Applied nonlinear programming , McGraw-Hill, 1972
Reference 96
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 0a845180-8877-4894-9380-ff102c802376 · outbound
Hopfield Neural Network Flow: A Geometric Viewpoint Kloeden, and E
Reference 97
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.
No inbound Pith citation observations are available.