Pith. sign in

Paper Citation Record · LEDGER

Hopfield Neural Network Flow: A Geometric Viewpoint

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.

pith.paper-citation-record.v1
1908.01270 v2

Coverage vector

measured 68 of 68 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:32:37.980430Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

68 of 68 outbound references displayed

  • verified exact1
  • verified fuzzy67
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8599d347-c854-4ac4-99d6-0d8c75121db4 · outbound

This paper cites Neural networks and physical systems with emerging collective computational abilities.

Hopfield Neural Network Flow: A Geometric Viewpoint Neural networks and physical systems with emerging collective computational abilities

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.841756Z

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.

source=pdf_text observed=2026-08-14T15:32:37.612603Z digest=sha256:817a36795c3479fe1fb6ff34a47e2369d8d6deafbe897ca2bc2ae66088f0c378

Observation 5e1060b5-62af-4616-af13-cc389f35d3ac · outbound

This paper cites Neurons with graded response have collective computa- tional properties like those of two-state neurons.

Hopfield Neural Network Flow: A Geometric Viewpoint Neurons with graded response have collective computa- tional properties like those of two-state neurons

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.829189Z

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.

source=pdf_text observed=2026-08-14T15:32:37.617240Z digest=sha256:47c0dac960dd0fe66c107b9834489503ed2ed2d1509c35e4103deb2f731ac1b9

Observation 9797621a-a9ff-4183-bcf2-62b32eac9490 · outbound

This paper cites Simple ‘neural’ optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.815918Z

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.

source=pdf_text observed=2026-08-14T15:32:37.621361Z digest=sha256:baaf1fa64015926ce471dbb81bf1fe8edda95ae13c497e246e83f75f25be490d

Observation 4e2f9045-d3be-41b4-b60a-335af75bde3c · outbound

This paper cites Neural networks for nonlinear program- ming.

Hopfield Neural Network Flow: A Geometric Viewpoint Neural networks for nonlinear program- ming

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.541491Z

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.

source=pdf_text observed=2026-08-14T15:32:37.778841Z digest=sha256:ac8f8b934bddc9267d285584f35585e3b7adadacd007714a7c826f285f8a96b3

Observation 7de77d35-4c37-4fb9-aef2-55efaa8b83a2 · outbound

This paper cites Identification and control of dy- namical systems using neural networks.

Hopfield Neural Network Flow: A Geometric Viewpoint Identification and control of dy- namical systems using neural networks

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.528413Z

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.

source=pdf_text observed=2026-08-14T15:32:37.782492Z digest=sha256:0c30dccca1485ebec989fbb5b57708d9ad72f14494a1b0174ae0d6ebd617db1f

Observation 876cf07c-03f2-4e86-9227-385f0adcf985 · outbound

This paper cites Hopfield neural networks for affine invariant matching.

Hopfield Neural Network Flow: A Geometric Viewpoint Hopfield neural networks for affine invariant matching

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.513947Z

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.

source=pdf_text observed=2026-08-14T15:32:37.786396Z digest=sha256:514a33afee086ff17a12f7fa5a936a7f865dec04fab9b8298a486168325f1ade

Observation ea189c57-0389-4547-8a65-e481afd7b7f8 · outbound

This paper cites Dual Hopfield methods for large-scale mixed-integer programming.

Hopfield Neural Network Flow: A Geometric Viewpoint Dual Hopfield methods for large-scale mixed-integer programming

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.501495Z

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.

source=pdf_text observed=2026-08-14T15:32:37.790211Z digest=sha256:b0686948b8e211dd640879fe50aac24f0f469f4b8bc97db13dc8ea792aa6d723

Observation d14e82e4-888f-4d44-bc56-86d51662c2f8 · outbound

This paper cites Aluffi-Pentini, V.

Hopfield Neural Network Flow: A Geometric Viewpoint Aluffi-Pentini, V

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.570219Z

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.

source=pdf_text observed=2026-08-14T15:32:37.698611Z digest=sha256:dbe62711f9b024d47842a5d0d9441008d765fca93df68d77df2961aef5c6b9c7

Observation 09748c24-2452-44c5-a19c-061038f47f0f · outbound

This paper cites Stochastic neural networks.

Hopfield Neural Network Flow: A Geometric Viewpoint Stochastic neural networks

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.803973Z

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.

source=pdf_text observed=2026-08-14T15:32:37.702773Z digest=sha256:009c6ceaee4f897e5334ff8629513de22129fa0022e242ebba5ec84a210d0125

Observation e0bbdc03-ce0b-48ad-a132-abdf4520a4cb · outbound

This paper cites Robust stability for interval Hopfield neural networks with time delay.

Hopfield Neural Network Flow: A Geometric Viewpoint Robust stability for interval Hopfield neural networks with time delay

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.792455Z

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.

source=pdf_text observed=2026-08-14T15:32:37.706505Z digest=sha256:c14b2909c73ea15d9d677822f6f97ff5b2c85a31853429e50cb94d78e2cb585c

Observation 44f87295-6988-4a4b-8665-4165e5fae972 · outbound

This paper cites Hopfield neural networks for optimization: study of the different dynamics.

Hopfield Neural Network Flow: A Geometric Viewpoint Hopfield neural networks for optimization: study of the different dynamics

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.780345Z

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.

source=pdf_text observed=2026-08-14T15:32:37.709950Z digest=sha256:857af19959dfd7e5d316405d4fcc32ec868e66692b6503b88ffc9d93fb7944df

Observation 04fe5e25-aa7d-441f-8021-aef7e4062a27 · outbound

This paper cites Natural gradient works efficiently in learning.

Hopfield Neural Network Flow: A Geometric Viewpoint Natural gradient works efficiently in learning

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.768025Z

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.

source=pdf_text observed=2026-08-14T15:32:37.713887Z digest=sha256:5bd21d6bc38cd0dcf1f2c05c328d7261b63478ece64ec535ab561723313532f3

Observation c16fc81f-fb91-48aa-bb4e-77d5d6bc3402 · outbound

This paper cites Nemirovskii, and D.B.

Hopfield Neural Network Flow: A Geometric Viewpoint Nemirovskii, and D.B

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.744399Z

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.

source=pdf_text observed=2026-08-14T15:32:37.721099Z digest=sha256:2cb483b6e3cf03641a970cc4e3389960e3b9d21c7c5f4a9e7558fbd7ecf9f86c

Observation d76bfad6-6b59-4ebd-971d-92b1bc148261 · outbound

This paper cites do Carmo, Riemannian Geometry , Birkh ¨auser, 1992.

Hopfield Neural Network Flow: A Geometric Viewpoint do Carmo, Riemannian Geometry , Birkh ¨auser, 1992

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.709307Z

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.

source=pdf_text observed=2026-08-14T15:32:37.731316Z digest=sha256:0fbfbcb7085d6d30db4e69cba3293fa63461b882f0b7bb6f8f69b9800a4c3a94

Observation a610dc9a-1283-4dfb-9f19-366833ab466a · outbound

This paper cites Convex optimization: algorithms and convexity.

Hopfield Neural Network Flow: A Geometric Viewpoint Convex optimization: algorithms and convexity

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.685645Z

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.

source=pdf_text observed=2026-08-14T15:32:37.738304Z digest=sha256:067a24ff6a806a9408f7351fb5e9814b878c94e68b87ac44b42df0835a44ac2f

Observation b74d02ab-bcaf-41c3-a07b-af2a3c2d194d · outbound

This paper cites Rockafeller, Convex Analysis , Princeton University Press, 1970.

Hopfield Neural Network Flow: A Geometric Viewpoint Rockafeller, Convex Analysis , Princeton University Press, 1970

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.673231Z

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.

source=pdf_text observed=2026-08-14T15:32:37.741862Z digest=sha256:b56a95192419d5fffc2835c5def36ab937bfb299761aa8857a6759be49136ea7

Observation b63b3689-53aa-40a9-8b09-fcfed0513202 · outbound

This paper cites Accelerated Mirror Descent in Continuous and Discrete Time.

Hopfield Neural Network Flow: A Geometric Viewpoint Accelerated Mirror Descent in Continuous and Discrete Time

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.660751Z

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.

source=pdf_text observed=2026-08-14T15:32:37.745996Z digest=sha256:abb3da9ce41397a4edd626dddf70a2488e964cec28e9a62f1d1bb18ac02b445f

Observation 91625b8c-73e5-4882-a67a-da379dcdad47 · outbound

This paper cites Aluffi-Pentini, V.

Hopfield Neural Network Flow: A Geometric Viewpoint Aluffi-Pentini, V

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.553779Z

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.

source=pdf_text observed=2026-08-14T15:32:37.774016Z digest=sha256:612577bacbc0a458c243d2e883383bbab62d31ea477937456fcf901e95babf8d

Observation adc0c654-98fc-45e7-a096-3806b6de50a0 · outbound

This paper cites Stochastic neural networks.

Hopfield Neural Network Flow: A Geometric Viewpoint Stochastic neural networks

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.489253Z

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.

source=pdf_text observed=2026-08-14T15:32:37.794050Z digest=sha256:3948de295061865ffad825f79c97b5dcd77b1d8d482058eda11b95fc54fa18e1

Observation 7dbe2135-892f-4d14-befd-2648eb1a1756 · outbound

This paper cites Robust stability for interval Hopfield neural networks with time delay.

Hopfield Neural Network Flow: A Geometric Viewpoint Robust stability for interval Hopfield neural networks with time delay

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.477223Z

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.

source=pdf_text observed=2026-08-14T15:32:37.797587Z digest=sha256:d22db2861e25ce82839c45decd8530c45754bc8729990e87640bb5e54178ecc2

Observation e9a2d6a3-884f-45dd-b493-49d1d3af18a5 · outbound

This paper cites Hopfield neural networks for optimization: study of the different dynamics.

Hopfield Neural Network Flow: A Geometric Viewpoint Hopfield neural networks for optimization: study of the different dynamics

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.466896Z

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.

source=pdf_text observed=2026-08-14T15:32:37.801339Z digest=sha256:0917674b16e7b8e0891497b5d8d5df4ff899e1f064b43de561bbd3d65e9d21e2

Observation c51dcdec-456e-493b-9dd9-df1d72a2d5f8 · outbound

This paper cites Natural gradient works efficiently in learning.

Hopfield Neural Network Flow: A Geometric Viewpoint Natural gradient works efficiently in learning

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.456268Z

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.

source=pdf_text observed=2026-08-14T15:32:37.805382Z digest=sha256:4243bff7fdd46fdcf25946d8174e72e7b01c9677ca51f5f71cabb57c90c13127

Observation e3724307-049e-4ba3-85b0-80f9e662da9e · outbound

This paper cites Shima, The Geometry of Hessian Structures , World Scientific, 2007.

Hopfield Neural Network Flow: A Geometric Viewpoint Shima, The Geometry of Hessian Structures , World Scientific, 2007

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.756052Z

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.

source=pdf_text observed=2026-08-14T15:32:37.809795Z digest=sha256:414e48bbf09649c5b2ed58ed08dbdc8b1a74361e3d8df203de641a08b6f2b44c

Observation 7586e0eb-b825-4214-b228-c9c739780d4c · outbound

This paper cites Nemirovskii, and D.B.

Hopfield Neural Network Flow: A Geometric Viewpoint Nemirovskii, and D.B

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.444443Z

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.

source=pdf_text observed=2026-08-14T15:32:37.813349Z digest=sha256:7ba6a11b1069318204970b63e0a728274db4b5f8bddffabde7177f33c9c312ad

Observation 6783f78a-1a39-4280-83ef-005c5f82feb2 · outbound

This paper cites Mirror descent and nonlinear projected subgradient methods for convex optimization.

Hopfield Neural Network Flow: A Geometric Viewpoint Mirror descent and nonlinear projected subgradient methods for convex optimization

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.732266Z

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.

source=pdf_text observed=2026-08-14T15:32:37.817409Z digest=sha256:562f66ce4b1d7586b6c4fbb627432f4198fd840f6dfeb3a21fbcdfd0cc62f3ed

Observation 5407216f-2c16-419d-9450-34c3c108ab79 · outbound

This paper cites The information geometry of mirror descent.

Hopfield Neural Network Flow: A Geometric Viewpoint The information geometry of mirror descent

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.720694Z

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.

source=pdf_text observed=2026-08-14T15:32:37.820863Z digest=sha256:3727adc902650f9ca78ee6ee6d8ef7f37cbe5b8b8bdea69442199ece4bd2c028

Observation 3677b3e7-59e4-4ba2-b274-42626d5ab595 · outbound

This paper cites doCarmo, Riemannian Geometry, Birkh ¨auser, 1992.

Hopfield Neural Network Flow: A Geometric Viewpoint doCarmo, Riemannian Geometry, Birkh ¨auser, 1992

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.432820Z

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.

source=pdf_text observed=2026-08-14T15:32:37.824795Z digest=sha256:fd705728ff72ff73b09a5983fc560cda0b30b5d9bdb4bc0a0bbc2d0164e8a2ca

Observation 5a904a64-00a6-4756-945a-4a5c5512489b · outbound

This paper cites The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.697858Z

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.

source=pdf_text observed=2026-08-14T15:32:37.828410Z digest=sha256:ce04638f4e95f75a8707615608c4366f2888ec4cd4474bffd4cf99e0939075c6

Observation 0c6087a2-91ff-42f8-bcb1-7ccae2646908 · outbound

This paper cites Convex optimization: algorithms and convexity.

Hopfield Neural Network Flow: A Geometric Viewpoint Convex optimization: algorithms and convexity

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.420578Z

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.

source=pdf_text observed=2026-08-14T15:32:37.832053Z digest=sha256:cde3b2099c970de93babc41bcd335802501c4a75007b0d7785d1a28c4403c3cd

Observation c0649eaf-f640-4c1b-a3b8-a133d527dad5 · outbound

This paper cites Rockafeller, Convex Analysis, Princeton University Press, 1970.

Hopfield Neural Network Flow: A Geometric Viewpoint Rockafeller, Convex Analysis, Princeton University Press, 1970

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.408551Z

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.

source=pdf_text observed=2026-08-14T15:32:37.836171Z digest=sha256:7828b182d526bc67ff6fb0310ea34d1d74401c101d389b08a52c47d3fd005a8b

Observation c68f5c7a-8095-4669-b6f4-22fc3a9bcfef · outbound

This paper cites Accelerated Mirror Descent in Continuous and Discrete Time.

Hopfield Neural Network Flow: A Geometric Viewpoint Accelerated Mirror Descent in Continuous and Discrete Time

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.396510Z

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.

source=pdf_text observed=2026-08-14T15:32:37.840467Z digest=sha256:718370d6be9a407d245a7cd2f82e993e750fcd06516287e512c92b9563879ae8

Observation 0c6d083c-159c-415e-b7bd-846a34fb24ca · outbound

This paper cites Characterization of the subdifferentials of convex functions.

Hopfield Neural Network Flow: A Geometric Viewpoint Characterization of the subdifferentials of convex functions

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.647928Z

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.

source=pdf_text observed=2026-08-14T15:32:37.844474Z digest=sha256:e82ba68d6ad07c2055bfd55ed03c32aeb013dc8eb34bb449b85f1ca70dd7feb4

Observation 20ec66f4-07fa-469e-8717-658de95b43c3 · outbound

This paper cites On Bregman V oronoi diagrams.

Hopfield Neural Network Flow: A Geometric Viewpoint On Bregman V oronoi diagrams

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.635098Z

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.

source=pdf_text observed=2026-08-14T15:32:37.847939Z digest=sha256:75a888b5486df00150a9886e7b80b18453421acee2071100b440053832e310a5

Observation 84502f8d-a056-4e5c-acf7-ea36e4096ecf · outbound

This paper cites Clustering with Bregman divergences.

Hopfield Neural Network Flow: A Geometric Viewpoint Clustering with Bregman divergences

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.621245Z

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.

source=pdf_text observed=2026-08-14T15:32:37.851584Z digest=sha256:11ac59be6eb902370c2661b0132a16f825ea52f7de08cbbd93dc0b6eb4429fb0

Observation 3d25f76c-4393-4940-917c-3d191ee8cab1 · outbound

This paper cites Economic load dispatch for piecewise quadratic cost function using Hopfield neural network.

Hopfield Neural Network Flow: A Geometric Viewpoint Economic load dispatch for piecewise quadratic cost function using Hopfield neural network

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.384504Z

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.

source=pdf_text observed=2026-08-14T15:32:37.855428Z digest=sha256:2459e027b6e3ab42d5ae82a9029b88cd4174a1a2eaf2b01bbc53ecf916097926

Observation a67c2172-972c-4dcc-970e-45de5f212c9f · outbound

This paper cites Optimal environmental dispatching of electric power systems via an improved Hopfield neural network model.

Hopfield Neural Network Flow: A Geometric Viewpoint Optimal environmental dispatching of electric power systems via an improved Hopfield neural network model

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.373371Z

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.

source=pdf_text observed=2026-08-14T15:32:37.859946Z digest=sha256:84cc6dbe65582f10e59b773da87748e40d3e41a4800910259ba37bf75d2a103b

Observation ceb7b024-3a3a-4373-a6e3-3f7ade5d9d4d · outbound

This paper cites Adaptive Hopfield neural networks for economic load dispatch.

Hopfield Neural Network Flow: A Geometric Viewpoint Adaptive Hopfield neural networks for economic load dispatch

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.361616Z

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.

source=pdf_text observed=2026-08-14T15:32:37.863698Z digest=sha256:5f7f4f5de673b74e10668756408bed1013db64cbd93f87c0a0f1c98308b0d63c

Observation c67fe6b3-93bb-4b2d-bdd1-faa48dd6e2ef · outbound

This paper cites Diffusions for global optimization.

Hopfield Neural Network Flow: A Geometric Viewpoint Diffusions for global optimization

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.608234Z

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.

source=pdf_text observed=2026-08-14T15:32:37.868419Z digest=sha256:4e08a8e9ddd2013c2cf4cc2afb7d7b449bb681580eba51d4e52994f3d855b717

Observation e96fdbf5-efc5-4066-8fad-a97b11693b76 · outbound

This paper cites Analog optimization with Wong’s stochastic neural net- work.

Hopfield Neural Network Flow: A Geometric Viewpoint Analog optimization with Wong’s stochastic neural net- work

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.596878Z

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.

source=pdf_text observed=2026-08-14T15:32:37.873328Z digest=sha256:16395acc791d7f44f48c7cb1ea0108786831859ac6f8a9874cc72571869783fa

Observation 3d758ad9-29a2-4ed4-b5cb-4ec4ed107172 · outbound

This paper cites Global optimization via the Langevin equation.

Hopfield Neural Network Flow: A Geometric Viewpoint Global optimization via the Langevin equation

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.583957Z

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.

source=pdf_text observed=2026-08-14T15:32:37.876751Z digest=sha256:a3117c242e871e7538f84d5536c6d3eea359819224de776d6103434328cd7e94

Observation 7978efb8-a981-49e2-a216-65d7bfbe773c · outbound

This paper cites Global optimization and stochastic differential equations.

Hopfield Neural Network Flow: A Geometric Viewpoint Global optimization and stochastic differential equations

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.349499Z

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.

source=pdf_text observed=2026-08-14T15:32:37.880286Z digest=sha256:d0d2f818b6637621d329377c1add5b2ecac3dda39997d7e0aa85ac2b7ff8d628

Observation dfdd44aa-e4ee-4ee8-adf2-a73baf0742bc · outbound

This paper cites A learning algorithm for Boltzmann machines.

Hopfield Neural Network Flow: A Geometric Viewpoint A learning algorithm for Boltzmann machines

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.338401Z

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.

source=pdf_text observed=2026-08-14T15:32:37.884049Z digest=sha256:8a03b44254778dabbc80be7b012f00d0ab4ea4c814000bd6269db663138421c3

Observation b6eba591-ee49-40f7-afd4-0fbfe33b2781 · outbound

This paper cites Risken, The Fokker-Planck equation: Methods of solution and appli- cations.

Hopfield Neural Network Flow: A Geometric Viewpoint Risken, The Fokker-Planck equation: Methods of solution and appli- cations

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.327665Z

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.

source=pdf_text observed=2026-08-14T15:32:37.887834Z digest=sha256:8e3585e23137707a6e481001d736a1e3f314243a4ac8e74edc8b3f47dbb54e6c

Observation 3886e565-f0ad-44e6-9fb1-dc0ad96a069a · outbound

This paper cites Exponential convergence to equilibrium for kinetic Fokker-Planck equations.

Hopfield Neural Network Flow: A Geometric Viewpoint Exponential convergence to equilibrium for kinetic Fokker-Planck equations

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.316842Z

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.

source=pdf_text observed=2026-08-14T15:32:37.891712Z digest=sha256:d26b27f2749fcf4c8be9e16a488ab277bc058d5507380511aa220882eefd0fd7

Observation 038bd84c-a0d1-4f13-be1c-b07f22271501 · outbound

This paper cites Oscillatory descent for function minimization.

Hopfield Neural Network Flow: A Geometric Viewpoint Oscillatory descent for function minimization

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.304987Z

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.

source=pdf_text observed=2026-08-14T15:32:37.895782Z digest=sha256:29630763ed02233c157c14ee94c8ddd824ffb6bd5d471fd4534347cb3df3378f

Observation def33579-e910-4804-af02-9a4f5ee5c0bd · outbound

This paper cites Noisy recurrent neural networks: the continuous-time case.

Hopfield Neural Network Flow: A Geometric Viewpoint Noisy recurrent neural networks: the continuous-time case

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.292965Z

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.

source=pdf_text observed=2026-08-14T15:32:37.899692Z digest=sha256:8af02dcd3bbea8f15ea78d31d1bdadaf6f89ce5e8e5e81cc1cb50f0a4c0018fe

Observation 91f4f63f-d0da-4d6e-b1e3-d271a267bf41 · outbound

This paper cites Villani, Topics in optimal transportation , American Mathematical Society, Providence, RI, 2003.

Hopfield Neural Network Flow: A Geometric Viewpoint Villani, Topics in optimal transportation , American Mathematical Society, Providence, RI, 2003

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.280972Z

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.

source=pdf_text observed=2026-08-14T15:32:37.904300Z digest=sha256:9b60b5ddf6b42a14ea15f11e56c166310337d6a9cdf0dc7ecc50069d92373047

Observation 10a3a684-544b-4266-b60e-e15d130074e7 · outbound

This paper cites Convex functionals of probability measures and non- linear diffusions on manifolds.

Hopfield Neural Network Flow: A Geometric Viewpoint Convex functionals of probability measures and non- linear diffusions on manifolds

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.269630Z

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.

source=pdf_text observed=2026-08-14T15:32:37.908085Z digest=sha256:488ac8caacae4cbe500282e1f38acff7982878ac18d878b5de31bb1850dd48c0

Observation 3c2aab32-5f53-4333-86af-c391c6ffc03a · outbound

This paper cites Gradient flows on Wasserstein spaces over compact Alexan- drov spaces.

Hopfield Neural Network Flow: A Geometric Viewpoint Gradient flows on Wasserstein spaces over compact Alexan- drov spaces

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.258324Z

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.

source=pdf_text observed=2026-08-14T15:32:37.912119Z digest=sha256:cd31f4632fa89cd73d50315c388e5b690734bf10a27a35eec9f54ff1623bb5d5

Observation 8c990836-0efc-4814-bd85-2c1c390269f5 · outbound

This paper cites A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.

Hopfield Neural Network Flow: A Geometric Viewpoint A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.247033Z

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.

source=pdf_text observed=2026-08-14T15:32:37.915500Z digest=sha256:fb5900372394a6ca3cc654a764e57ee5785f1486777cba9f0833873e8107ec06

Observation 4b61885d-e371-43c4-a3e6-e8252db44da1 · outbound

This paper cites Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces.

Hopfield Neural Network Flow: A Geometric Viewpoint Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.233579Z

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.

source=pdf_text observed=2026-08-14T15:32:37.918800Z digest=sha256:05e11f7af1a11cfa5d02cc7aaa34b9ddc3dbdae0f05549f8b93636996c28eff1

Observation ff2e856b-b9a2-48a7-b1da-29c1fe973bf9 · outbound

This paper cites The geometry of dissipative evolution equations: the porous medium equation.

Hopfield Neural Network Flow: A Geometric Viewpoint The geometry of dissipative evolution equations: the porous medium equation

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.222609Z

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.

source=pdf_text observed=2026-08-14T15:32:37.921896Z digest=sha256:6aaa90ec0b6d9509a0c146fcf1bfa16325ed8dd891c09ddf51ab778c224a4c41

Observation a861a524-de43-409c-8ad3-9f53207ed546 · outbound

This paper cites Villani, Optimal transport: old and new, Springer Science & Business Media, V ol.

Hopfield Neural Network Flow: A Geometric Viewpoint Villani, Optimal transport: old and new, Springer Science & Business Media, V ol

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.211081Z

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.

source=pdf_text observed=2026-08-14T15:32:37.925445Z digest=sha256:94eef913af8504676e73a843d6ed153e8c89c927c8d6cf4f867eb715e0fd975a

Observation a775ebcb-0cfd-4064-8dae-afeeb285e365 · outbound

This paper cites Ambrosio, N.

Hopfield Neural Network Flow: A Geometric Viewpoint Ambrosio, N

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.199956Z

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.

source=pdf_text observed=2026-08-14T15:32:37.928530Z digest=sha256:86ddf187cedf2e9c086c76a9a6d8db5419f2ee63676fde6d6c3f066438f8e080

Observation 16c6c42f-a3c9-49e2-b35b-4097671aaa99 · outbound

This paper cites Notes on stochastic processes on manifolds.

Hopfield Neural Network Flow: A Geometric Viewpoint Notes on stochastic processes on manifolds

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.190043Z

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.

source=pdf_text observed=2026-08-14T15:32:37.931773Z digest=sha256:362a37cf8e09646959cee4168e57d80e9a82300e7a8b7df2fc4e1bc3ff9484a5

Observation 8946898d-3dab-45a8-b396-3f049b6a44b4 · outbound

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

Hopfield Neural Network Flow: A Geometric Viewpoint The variational formulation of the Fokker-Planck equation

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.178828Z

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.

source=pdf_text observed=2026-08-14T15:32:37.935361Z digest=sha256:ce391aca060b00bc2d733f3dae85a5bddc775170972f24dc37444a66c0d04a55

Observation 45059c9b-2782-461c-9e56-8e417f241e34 · outbound

This paper cites Constrained Steepest Descent in the 2- Wasserstein Metric.

Hopfield Neural Network Flow: A Geometric Viewpoint Constrained Steepest Descent in the 2- Wasserstein Metric

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.167427Z

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.

source=pdf_text observed=2026-08-14T15:32:37.939122Z digest=sha256:a1b437859c679a70e40c9d33b76b72da3659d924478c2bd0b191b0efe4d40ba2

Observation 5259836b-f3d6-4e6e-9b3b-3872760e77a5 · outbound

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

Hopfield Neural Network Flow: A Geometric Viewpoint {Euclidean, metric, and Wasserstein} gradient flows: an overview

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.152119Z

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.

source=pdf_text observed=2026-08-14T15:32:37.942573Z digest=sha256:bf4642350a244fc7de6e24e8d1de5901650e9266a03736454779c99c7d2739ca

Observation a46befee-125c-4311-8fd0-00db818309cf · outbound

This paper cites Proximit ´e et dualit ´e dans un espace hilbertien.

Hopfield Neural Network Flow: A Geometric Viewpoint Proximit ´e et dualit ´e dans un espace hilbertien

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.139130Z

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.

source=pdf_text observed=2026-08-14T15:32:37.946208Z digest=sha256:89c8935f30f2aa73a278720754499fc9d959d54c361d0d9ca241d1accba0951b

Observation 9caffb30-b88e-4262-910d-eedd92100c4d · outbound

This paper cites Monotone operators and the proximal point algo- rithm.

Hopfield Neural Network Flow: A Geometric Viewpoint Monotone operators and the proximal point algo- rithm

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.124914Z

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.

source=pdf_text observed=2026-08-14T15:32:37.949896Z digest=sha256:e9afa3b594c752debac340ee5e4c4c04933d300b016639bb0f07e5387fc7a49a

Observation 8f93a12b-a3da-47ba-a36d-868699c91b0b · outbound

This paper cites Bauschke, and P.L.

Hopfield Neural Network Flow: A Geometric Viewpoint Bauschke, and P.L

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.112878Z

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.

source=pdf_text observed=2026-08-14T15:32:37.953788Z digest=sha256:62bfd757fcf8bd57731330cbb854d38b5564a3040f83b8fdd9cf970866fa1cf0

Observation d53c6aa0-0524-409d-9d61-8b785f5cb2c9 · outbound

This paper cites Gradient flows in uncertainty propagation and filtering of linear Gaussian systems.

Hopfield Neural Network Flow: A Geometric Viewpoint Gradient flows in uncertainty propagation and filtering of linear Gaussian systems

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.100437Z

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.

source=pdf_text observed=2026-08-14T15:32:37.957227Z digest=sha256:745b50ec8ac15fcb9d7102286fafaf50cbce62295b9d1ee5e3ae5a2d0c39fc2c

Observation d5bc6db8-ad5d-4959-a61b-536eb8e4ede5 · outbound

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

Hopfield Neural Network Flow: A Geometric Viewpoint Gradient flows in filtering and Fisher- Rao Geometry

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.087964Z

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.

source=pdf_text observed=2026-08-14T15:32:37.961177Z digest=sha256:a292cc2c3fd27e3fe35de7ca785c2079b468c302f8e0d9c357e39019ccb19ec0

Observation 05104e48-45ad-46c3-b881-b6d0bee5e384 · outbound

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

Hopfield Neural Network Flow: A Geometric Viewpoint Proximal recursion for solving the Fokker- Planck equation

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.075237Z

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.

source=pdf_text observed=2026-08-14T15:32:37.964843Z digest=sha256:cd7c65397eee9b41a02393ef43bb781c34411f3090b100006df8709cb7778ffd

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

This paper cites Gradient Flow Algorithms for Density Propagation in Stochastic Systems.

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

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.

source=pdf_text observed=2026-08-14T15:32:37.968564Z digest=sha256:e22be8b48ebc51ee42941c1afebafccaebdef784ec74919a61926cdf0de95582

Observation 424cb213-9b6d-4265-b5bd-ea2aea4a275f · outbound

This paper cites Proximal algorithms.

Hopfield Neural Network Flow: A Geometric Viewpoint Proximal algorithms

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.062271Z

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.

source=pdf_text observed=2026-08-14T15:32:37.972917Z digest=sha256:7c1680a6b7295139ec9db1b6916e69315684a055ee2949b2a7ad7af0c7a0c7b5

Observation 2a933314-494a-4bdf-b875-0b4f96096433 · outbound

This paper cites Himmelblau, Applied nonlinear programming , McGraw-Hill, 1972.

Hopfield Neural Network Flow: A Geometric Viewpoint Himmelblau, Applied nonlinear programming , McGraw-Hill, 1972

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.050080Z

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.

source=pdf_text observed=2026-08-14T15:32:37.976683Z digest=sha256:696ea330718a42a04e521edddee6a830887ea5697c71ac57cf7d0428d4f38817

Observation 0a845180-8877-4894-9380-ff102c802376 · outbound

This paper cites Kloeden, and E.

Hopfield Neural Network Flow: A Geometric Viewpoint Kloeden, and E

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:32:38.034874Z

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.

source=pdf_text observed=2026-08-14T15:32:37.980430Z digest=sha256:535359cd0d129d5d91c6cf08ba90d69d147476717ee0b45173988285ab93ea59

Pith citing papers

No inbound Pith citation observations are available.