Paper Citation Record · LEDGER

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization

As of 8 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2507.00461.

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

pith.paper-citation-record.v1
2507.00461 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

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measured 47 of 47 standing notices

One-hop event checks from named stored sources.

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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

47 of 47 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 264aa4f4-ce8f-4f20-ae11-31d3812b94fd · outbound

This paper cites A Logical Calculus of the Ideas Immanent in Nervous Activity,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A Logical Calculus of the Ideas Immanent in Nervous Activity,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.796145Z

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Observation 040004d5-6230-4946-afdd-24050f7113f4 · outbound

This paper cites Haykin, Neural Networks and Learning Machines , 3rd ed.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Haykin, Neural Networks and Learning Machines , 3rd ed

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.785889Z

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Observation 78a93045-ec13-475d-916a-e15fae53a0e8 · outbound

This paper cites A certain generalization of threshold functions,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A certain generalization of threshold functions,

Reference 3

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Observation 7f770d09-6f91-4de8-a412-4e5bd991efbc · outbound

This paper cites Aizenberg, Complex-Valued Neural Networks with Multi-Valued Neu- rons, ser.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Aizenberg, Complex-Valued Neural Networks with Multi-Valued Neu- rons, ser

Reference 4

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Observation bbad01f1-90db-4f07-a3ee-9121581cf41f · outbound

This paper cites Complex-valued neural networks: The merits and their origins,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-valued neural networks: The merits and their origins,

Reference 5

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Observation fc16c8c5-891f-4042-a94c-5cb22c2dc008 · outbound

This paper cites Complex-valued neural networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-valued neural networks,

Reference 6

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Observation 1793355a-7562-4a85-b2b4-b4ced0292eea · outbound

This paper cites Deep complex networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Deep complex networks,

Reference 7

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Observation 42ad2e0b-5ae0-4f3e-8d65-5be4189fbdef · outbound

This paper cites The universal approximation theorem for complex- valued neural networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization The universal approximation theorem for complex- valued neural networks,

Reference 8

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Observation 34cb1019-c578-4c59-b8e7-5e6b2cbf4081 · outbound

This paper cites Complex-Valued Neural Networks with Nonparametric Activation Functions,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-Valued Neural Networks with Nonparametric Activation Functions,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.712413Z

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Observation 89e616b6-81d4-4306-969b-478efe0b3221 · outbound

This paper cites Complex-Valued Neural Networks: A Comprehensive Survey,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-Valued Neural Networks: A Comprehensive Survey,

Reference 10

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Observation 4bb093d7-8066-4393-bf02-38d2626f5984 · outbound

This paper cites CVKAN: Complex-Valued Kolmogorov-Arnold Networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization CVKAN: Complex-Valued Kolmogorov-Arnold Networks,

Reference 11

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

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Neural networks and physical systems with emergent collective computational abilities,

Reference 12

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Observation d8637f90-14ab-41bf-b63f-0b84503feb52 · outbound

This paper cites The capacity of the Hopfield associative memory,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization The capacity of the Hopfield associative memory,

Reference 13

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Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Unresolved cited work

Reference 14

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Observation f18cd52d-ccb9-46ee-b127-9e8b210e2a4b · outbound

This paper cites Associative Memory Networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Associative Memory Networks,

Reference 15

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Observation 3a54ef21-23bb-418a-92b9-97a04dc97397 · outbound

This paper cites Decreasing energy functions as a tool for studying threshold networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Decreasing energy functions as a tool for studying threshold networks,

Reference 16

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Observation 3b481360-89c0-4bf4-85b9-316a6a643db6 · outbound

This paper cites A Hopfield neural network for adaptive image segmentation: An active surface paradigm,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A Hopfield neural network for adaptive image segmentation: An active surface paradigm,

Reference 17

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Observation db1f1fe7-ef5f-441f-9504-04324777b423 · outbound

This paper cites Neural Techniques for Combinatorial Optimization with Applications,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Neural Techniques for Combinatorial Optimization with Applications,

Reference 18

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Observation 847861b2-8372-41d1-af6b-a3535a55c947 · outbound

This paper cites A Hopfield Neural Network for Image Change Detection,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A Hopfield Neural Network for Image Change Detection,

Reference 19

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Observation c508b453-407d-4c4f-b045-90a7dd9ab24c · outbound

This paper cites A Hopfield Neural Network for Combining Classifiers Applied to Textured Images,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A Hopfield Neural Network for Combining Classifiers Applied to Textured Images,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.613874Z

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Observation 369baac1-fce0-47cc-a7ba-56135d841f38 · outbound

This paper cites New Insights on Learning Rules for Hopfield Networks: Memory and Objective Function Minimisation,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization New Insights on Learning Rules for Hopfield Networks: Memory and Objective Function Minimisation,

Reference 21

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Observation 40812e6d-2413-4275-879a-7baa61cbd5ee · outbound

This paper cites Large Associative Memory Problem in Neurobiology and Machine Learning.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Large Associative Memory Problem in Neurobiology and Machine Learning

Reference 22

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Observation 64e9fc6f-15bb-405a-b877-c82baa4503ea · outbound

This paper cites Hopfield Networks is All You Need.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Hopfield Networks is All You Need

Reference 23

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This paper cites Hierarchical Associative Memory, Parallelized MLP-Mixer, and Symmetry Breaking,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Hierarchical Associative Memory, Parallelized MLP-Mixer, and Symmetry Breaking,

Reference 24

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Observation 0f3cb9b6-16c1-4f0a-8e51-91b1fe124933 · outbound

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Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Associative Memory in Sparse Phasor Neural Networks,

Reference 25

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Observation 2b6458aa-f9ed-40cb-9487-43d71118a9b3 · outbound

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Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Discrete-state phasor neural networks,

Reference 26

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Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Phasor Neural Networks,

Reference 27

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Observation ad63ab8b-b89b-4572-a834-6cc480d38395 · outbound

This paper cites Complex-valued mul- tistate neural associative memory,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-valued mul- tistate neural associative memory,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.553104Z

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Observation 8eab0eda-0962-4b07-b387-222f4ccdb5e4 · outbound

This paper cites A new design method for the complex-valued multistate hopfield associative memory,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A new design method for the complex-valued multistate hopfield associative memory,

Reference 29

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Observation 2eae3013-113b-49ec-a139-a5d2d8b8cbb7 · outbound

This paper cites Improvements of complex-valued Hopfield associative mem- ory by using generalized projection rules,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Improvements of complex-valued Hopfield associative mem- ory by using generalized projection rules,

Reference 30

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Observation 88229e3d-75a6-47da-9a41-e99c38c5506a · outbound

This paper cites Complex-Valued Multistate Associative Memory With Nonlinear Multilevel Functions for Gray-Level Image Reconstruction,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-Valued Multistate Associative Memory With Nonlinear Multilevel Functions for Gray-Level Image Reconstruction,

Reference 31

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Observation 9ebd2e11-9946-47de-835b-cb3d29a48e5d · outbound

This paper cites Enhancing computational efficiency of gradient descent in complex-valued Hopfield neural network through GPU parallelization,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Enhancing computational efficiency of gradient descent in complex-valued Hopfield neural network through GPU parallelization,

Reference 32

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Observation 2e48c09c-1ff9-4e44-9fdc-37b9c56f8596 · outbound

This paper cites Complex-valued Hopfield associative memories with hybrid connections,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-valued Hopfield associative memories with hybrid connections,

Reference 33

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Observation f5145b1d-d9ff-4071-9426-983200af6db4 · outbound

This paper cites Quaternionic Neural Net- works for Associative Memories,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Quaternionic Neural Net- works for Associative Memories,

Reference 34

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Observation 9793a035-06fb-4c05-846f-36e616cff52f · outbound

This paper cites Split Quaternion-Valued Twin-Multistate Hopfield Neu- ral Networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Split Quaternion-Valued Twin-Multistate Hopfield Neu- ral Networks,

Reference 35

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Observation 40ca56b4-3c70-4e38-b0af-488cf5f047d4 · outbound

This paper cites Hopfield neural networks using Klein four-group,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Hopfield neural networks using Klein four-group,

Reference 36

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Observation 23aa2708-0861-4455-8aaf-d81e7187ed40 · outbound

This paper cites Clifford Hopfield Neural Networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Clifford Hopfield Neural Networks,

Reference 37

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Observation f0e9ddfb-b115-400d-bf4b-d123deb98ff4 · outbound

This paper cites A broad class of discrete-time hypercomplex-valued Hopfield neural networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A broad class of discrete-time hypercomplex-valued Hopfield neural networks,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.454090Z

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Observation d60683b8-f9dd-432a-92e4-23f355149765 · outbound

This paper cites Vector-Valued Hopfield Neural Networks and Distributed Synapse Based Convolutional and Linear Time-Variant Associative Memories,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Vector-Valued Hopfield Neural Networks and Distributed Synapse Based Convolutional and Linear Time-Variant Associative Memories,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.444595Z

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Observation 71559b60-26f0-48ff-89f9-c5fc186d57df · outbound

This paper cites Complex-valued neural associative memory on the complex hypercube,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Complex-valued neural associative memory on the complex hypercube,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.433405Z

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Observation 8fcae985-8164-484e-a857-8b080aaf9dfb · outbound

This paper cites Infinite Population, Complex Valued State Neural Network on the Complex Hypercube,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Infinite Population, Complex Valued State Neural Network on the Complex Hypercube,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.423390Z

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Observation 53c6468c-7a3c-4b11-86be-9f640f4b3600 · outbound

This paper cites CNN based on multivalued neuron as a model of associative memory for gray-scale images,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization CNN based on multivalued neuron as a model of associative memory for gray-scale images,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.412995Z

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Observation 44deae66-613a-49d7-9238-5c494343b382 · outbound

This paper cites Some Remarks on the Stability of Discrete-Time Complex-Valued Multistate Hopfield Neural Networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Some Remarks on the Stability of Discrete-Time Complex-Valued Multistate Hopfield Neural Networks,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.401213Z

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Observation 7dd1d25f-5aa0-4941-b6ae-99b4dedf747c · outbound

This paper cites A generalized convergence theorem for neural networks,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization A generalized convergence theorem for neural networks,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.390656Z

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Observation d31a7b35-508f-4cc1-8661-57e9d7fc4f55 · outbound

This paper cites Symmetric Complex-Valued Hopfield Neural Net- works,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Symmetric Complex-Valued Hopfield Neural Net- works,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.381690Z

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Observation 33e28396-36cf-472e-af4a-264d3b3575e9 · outbound

This paper cites Novel Ceiling Neuron Model and its Applications,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization Novel Ceiling Neuron Model and its Applications,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.372384Z

Source-reported events for the cited work

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Observation f227c057-a040-4dce-9340-f02e311c6b52 · outbound

This paper cites On the dynamics of Real Valued Hopfield-Type Neural Networks based on Ceiling Neurons,.

Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantization On the dynamics of Real Valued Hopfield-Type Neural Networks based on Ceiling Neurons,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:22:27.362701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

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