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Paper Citation Record · LEDGER

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization

As of 14 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2412.09860.

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

pith.paper-citation-record.v1
2412.09860 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:44:32.324136Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

65 of 65 outbound references displayed

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  • verified fuzzy64
  • unresolved1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 890c2a49-4f8b-4716-a512-32b3c2f540d3 · outbound

This paper cites Machine learning for combinatorial optimization: a methodol ogical tour d’horizon.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Machine learning for combinatorial optimization: a methodol ogical tour d’horizon

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e29e26b7-0ffc-4e1b-b069-c45374de1ce1 · outbound

This paper cites Application of combinatorial optimization strategies in synthetic biology.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Application of combinatorial optimization strategies in synthetic biology

Reference 2

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d1f57b8a-0001-493e-a929-646951c0fe1e · outbound

This paper cites Combinatorial optimization of mRNA structure, stability, and translation for RNA-based therapeutics.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Combinatorial optimization of mRNA structure, stability, and translation for RNA-based therapeutics

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 06af4eff-7366-423c-81c7-692b04ce1fae · outbound

This paper cites Explicit Evolutionary Multitasking for Combinatorial Optimization: A Case Study on Cap acitated Vehicle Routing Problem.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Explicit Evolutionary Multitasking for Combinatorial Optimization: A Case Study on Cap acitated Vehicle Routing Problem

Reference 4

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 89afb23e-5447-4030-937f-e8c0afa00f8a · outbound

This paper cites Reinforcement learning for combinatorial optimization: A survey.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Reinforcement learning for combinatorial optimization: A survey

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c69e3a40-9e86-4fd7-bf96-216033d439bb · outbound

This paper cites Pointer networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Pointer networks

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 39541469-8b6a-4ba3-be3b-c705044e7c90 · outbound

This paper cites Erdos goes ne ural: an unsupervised learning framework for combinatorial optimization on graphs.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Erdos goes ne ural: an unsupervised learning framework for combinatorial optimization on graphs

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.103716Z digest=sha256:9d960615156e0f73b5b84cf3a16ae196b409a1fceeec7865761b04fb900f10bd

Observation 9348086e-5ceb-44e3-af68-99c78d535f54 · outbound

This paper cites Neural combinatorial optimization with reinforcement learning.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Neural combinatorial optimization with reinforcement learning

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 403da00b-3729-483a-933d-7af9035cd9a4 · outbound

This paper cites Learning combinatorial optimization algorithms over graphs.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Learning combinatorial optimization algorithms over graphs

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7af89ef1-7661-49da-a455-25ce1f5798f0 · outbound

This paper cites NeuroLKH: Combining deep learning model with Lin-Kernighan-Helsgaun heuristic for solving the traveling salesman problem.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization NeuroLKH: Combining deep learning model with Lin-Kernighan-Helsgaun heuristic for solving the traveling salesman problem

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8be4b9ef-c76c-4d60-8ecd-c2878ac24207 · outbound

This paper cites An effective implemen tation of the Lin–Kernighan traveling salesman heuristic.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization An effective implemen tation of the Lin–Kernighan traveling salesman heuristic

Reference 11

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e30b63c4-0c71-4fe6-8cb1-76e7f3a8f9d4 · outbound

This paper cites Combinatorial optimization with physics-inspired graph neural networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Combinatorial optimization with physics-inspired graph neural networks

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c39a8ad3-8644-4df2-a870-e20596ede5c7 · outbound

This paper cites Adam: A met hod for stochastic optimization.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Adam: A met hod for stochastic optimization

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.127042Z digest=sha256:1a9ca8befb96fc725d2abd72a082ce4eb6af5f37a3b0dcac1b085962ee9e7aa4

Observation 579ca68d-b313-49b4-b223-024b38f96381 · outbound

This paper cites Nonlinear dynamics and chaos with student solutions manual: With applications to ph ysics, biology, chemistry, and engineering.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Nonlinear dynamics and chaos with student solutions manual: With applications to ph ysics, biology, chemistry, and engineering

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 96c20128-7bd0-43cf-818a-769ccdcf729e · outbound

This paper cites Global searching ability of chaotic neural networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Global searching ability of chaotic neural networks

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.135366Z digest=sha256:67d1a7720f3d2d32354cc747f1bfe51eeb9fe0b2cf67a049071deb7c58c10d9f

Observation ed732396-9750-408e-bd89-819604ad9c9c · outbound

This paper cites Co mbinatorial optimization by simulating adiabatic bifurcations in non linear Hamiltonian systems.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Co mbinatorial optimization by simulating adiabatic bifurcations in non linear Hamiltonian systems

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.139119Z digest=sha256:f44631e076f58b5cf8670b537077047c46caea7d312909cc9748728a53d3b4ce

Observation 7706e4a7-d48a-4a6f-a846-bba405aaeee6 · outbound

This paper cites High-performance combinatorial optimization based on classical mechanics.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization High-performance combinatorial optimization based on classical mechanics

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2205b88a-090b-481f-b44d-b98e0fbe6a63 · outbound

This paper cites Chaotic simula ted annealing by a neural network model with transient chaos.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Chaotic simula ted annealing by a neural network model with transient chaos

Reference 18

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.146965Z digest=sha256:85d8b9cc97e60ce901174f71573354b43f5c69e8e7a0197fbc97429c4fb1e088

Observation 78bd3f09-2815-485e-b35b-1dc49d8d0863 · outbound

This paper cites Chaos and asymptot ical stability in discrete-time neural networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Chaos and asymptot ical stability in discrete-time neural networks

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.890682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 992b757a-e493-4e5e-a03c-8998f4108f5c · outbound

This paper cites Phas e locking, period-doubling bifurcations, and irregular dynamics in periodically stimul ated cardiac cells.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Phas e locking, period-doubling bifurcations, and irregular dynamics in periodically stimul ated cardiac cells

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.877930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d9902d7a-4b2f-4495-b079-e73d7f8b8872 · outbound

This paper cites Subthreshold dynamics in periodically stimulated squid giant axons.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Subthreshold dynamics in periodically stimulated squid giant axons

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.865568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6fe2a2d8-fbd8-45c9-ac0c-9bec7b79a7f9 · outbound

This paper cites Structures of attractors in periodically forced neural oscillators.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Structures of attractors in periodically forced neural oscillators

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.854226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 841e476f-c2cd-4b1d-8173-e961cfcee159 · outbound

This paper cites How brains ma ke chaos in order to make sense of the world.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization How brains ma ke chaos in order to make sense of the world

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.843277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.166499Z digest=sha256:c24790b13323fe40a3cf49d88c19c8e0231ff255b2d2f7cd842ec20f3ba84d5a

Observation 736907bb-f8d2-485c-b616-03744f28fe96 · outbound

This paper cites Is it healthy to be chaotic? Science 243, 604-607 (1989).

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Is it healthy to be chaotic? Science 243, 604-607 (1989)

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.832826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 54d0f939-7436-4cf2-beb7-b59e65bee66e · outbound

This paper cites On chaotic dynamics in transcription factors and the associated effects in differential gene regulation.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization On chaotic dynamics in transcription factors and the associated effects in differential gene regulation

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.821498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.174077Z digest=sha256:e922201dc6fdc07bbb94150e12dd90169fe9e9dbb1ec90bb562360437e9422ea

Observation b17c7ce4-5df9-4cd9-b00d-a09cb34a27fc · outbound

This paper cites Oscillations, complex spatiotemporal behavior, and information transport in networks of exci tatory and inhibitory neurons.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Oscillations, complex spatiotemporal behavior, and information transport in networks of exci tatory and inhibitory neurons

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.809150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 61861a16-8353-4e1d-990e-a6f3890f125c · outbound

This paper cites Evidence of chaotic dynamics of brain activity during the sleep cycle.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Evidence of chaotic dynamics of brain activity during the sleep cycle

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.796538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 78d46817-7dfb-4c6e-b27b-e1747be42e4a · outbound

This paper cites Chaos and phase locking in normal squid axons.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Chaos and phase locking in normal squid axons

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.786082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.186857Z digest=sha256:fbb5e0da0d6a591fa7b8600cc1aa737326ad766d782ef6c1d881364ef8c26226

Observation aae3197c-f15d-43e8-9cba-85987e668747 · outbound

This paper cites Criticality between cortical states.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Criticality between cortical states

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.775206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1b55b998-5fa6-4aaa-b39f-7192b5687246 · outbound

This paper cites Evidence for quasicritical brain dynamics.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Evidence for quasicritical brain dynamics

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.763677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.194669Z digest=sha256:ebd3108fb9f6a67c40523712fb3918d1d55cb9d3a12384710ab3d08b54cad329

Observation e284c125-e6c3-4ee4-b390-dad0e8fe8c36 · outbound

This paper cites On redefining a snap-back repeller.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization On redefining a snap-back repeller

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.752563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.198638Z digest=sha256:60e0fffdc91e27b0e9abcb4831ccf4442d6674102bced122490e1114c8fc97bc

Observation e342a16d-96b5-42a3-92a6-36e6f04f06f3 · outbound

This paper cites Ising formulations of many NP problems.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Ising formulations of many NP problems

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.741392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.202239Z digest=sha256:1d860b3c02dd342d0ed8a9eae841b9ab55fca38214cf9548fc02c78729e84981

Observation 9ff97712-6f2b-4ce1-a499-a808f84f6cd7 · outbound

This paper cites Analysis of the relation between quad ratic unconstrained binary optimization and the spin-glass ground-state problem.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Analysis of the relation between quad ratic unconstrained binary optimization and the spin-glass ground-state problem

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.729219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.205961Z digest=sha256:8aa2e2dcc1dfd207b3dcc676702a4bd8af095b39326817cbc41f188c4be31ad3

Observation 445d4cfa-f729-4a82-8b27-2ba248762afa · outbound

This paper cites Semi-supervise d classification with graph convolutional networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Semi-supervise d classification with graph convolutional networks

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.717613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.209646Z digest=sha256:19ecf05a57229b43f6fc4989433d5db14964d053921926c6912fe720c30b5c71

Observation b830aad3-4533-4ca7-b472-3477c4ce486e · outbound

This paper cites I nductive representation learning on large graphs.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization I nductive representation learning on large graphs

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.705640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.212834Z digest=sha256:cc029cdd994765f25b91f077f8c1d51b39d04dae52f0fe53a3be1fd643c598cf

Observation 72691e88-c1ed-47fe-8c95-9b97adb8d357 · outbound

This paper cites Graph attention networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Graph attention networks

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.695016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.216365Z digest=sha256:69fcf74dfcae722ba1e2f48029731b49cf030b692ca45afffe397454930ee437

Observation f30a89c5-9be7-4dc8-8b3a-85f9f3e86bac · outbound

This paper cites Brain-in spired chaotic backpropagation for MLP.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Brain-in spired chaotic backpropagation for MLP

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.685049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.219337Z digest=sha256:675956e2db0189fde25c0d4c38528fe5fde0b0c758308a992e68a26d2035fe56

Observation 558b30ca-154b-48b9-aa6e-ddb95f0bce5e · outbound

This paper cites On a response char acteristic of a mathematical neuron model.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization On a response char acteristic of a mathematical neuron model

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.673213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.222545Z digest=sha256:38b4036a11ff596fcf82ff8c9322ae6332eff0dffad1e3d368258b79262ae7ca

Observation 0dfbe42c-fc6c-4b05-9536-ae80d3bbd8e6 · outbound

This paper cites Chaotic neural networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Chaotic neural networks

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.662923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.225625Z digest=sha256:c6623f576f6fc67a41d15fb401827ce1a0fe7c810b3784ae130334ed091927eb

Observation 899d5fe0-e5c8-4a3e-ae43-5cdd8d277f77 · outbound

This paper cites On the importance of initialization and momentum in deep learning.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization On the importance of initialization and momentum in deep learning

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.652798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.228741Z digest=sha256:f57372b387ffde6102cbe198f96a589724b116a2baddb3979a4076f8653c6564

Observation d3a03b3b-63ca-4f81-8420-7005952e0a15 · outbound

This paper cites Ex tremal cuts of sparse random graphs.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Ex tremal cuts of sparse random graphs

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.641995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.231703Z digest=sha256:6dcd9b397ba64cadd7ed55770a609c894551f489cd2473d54639ba8fc06cdadb

Observation 060393fc-06ea-48c6-856e-772c1ff147de · outbound

This paper cites Solvable model of a spin-glass.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Solvable model of a spin-glass

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.630005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.235314Z digest=sha256:960e8b08c84fa90d67ee6730935a1f5292fce56aad48bc1d6140c4ca7dbb7d40

Observation f368f1d3-6cef-4622-b11f-23b359b4962e · outbound

This paper cites Im proved approximation algorithms for maximum cut and satisfiability proble ms using semidefinite programming.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Im proved approximation algorithms for maximum cut and satisfiability proble ms using semidefinite programming

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.618264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.238431Z digest=sha256:1be6d12ec555f5477f39f9b38569ff1bdd74d18c57529e0773c286aceb3eadef

Observation 6a12d66e-7a02-47dc-99a3-4493a194037e · outbound

This paper cites Breakout lo cal search for the max-cutproblem.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Breakout lo cal search for the max-cutproblem

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.607308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.241765Z digest=sha256:1ce307f5e7d09fe2ba7edd5053da9ca8bb21a9e3a6a48656e2348f053f014132

Observation 24e2c7e5-12ee-4036-b24b-bf84143fca27 · outbound

This paper cites Solving sparse semi definite programs using the dual scaling algorithm with an iterative solver.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Solving sparse semi definite programs using the dual scaling algorithm with an iterative solver

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.596051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.245513Z digest=sha256:32a4bca8120af162baefe3325f9066ee701fa86422b86f694fd2b51885988641

Observation fb8348d1-351b-486e-a0d1-cc4b1cf11f70 · outbound

This paper cites Solving large scale max cut problems via tabu search.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Solving large scale max cut problems via tabu search

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.584258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.249211Z digest=sha256:73a88bc40051653c148ff8eeb4541ee69b459e7156ea87cd035ad55a19e82c1c

Observation 9d122098-1a68-482a-995e-4caaad5e6f08 · outbound

This paper cites Graph neural networks for maximum constraint satisfaction.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Graph neural networks for maximum constraint satisfaction

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.572019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.253169Z digest=sha256:7246be46e550fbf3a860dd6b1413117cbfd5092f3e18c93032a4b1f1dfefff96

Observation 33dca0a6-7062-4f9d-9c04-2075865810a1 · outbound

This paper cites Graph coloring with physics-inspired graph neural networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Graph coloring with physics-inspired graph neural networks

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.561130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.257379Z digest=sha256:e5de2624fe9928b2c02d51cdb98d4b0cab91472bbf5c6759ec6debc81f757e57

Observation 28c74dde-e068-4fea-8305-ce344c858fae · outbound

This paper cites Automating the construction of internet portals with machine learning.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Automating the construction of internet portals with machine learning

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.549620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.261534Z digest=sha256:36f02007b447b77bbf33babe7f212e217bb200b52185aa5687584e90a0361c4a

Observation 44c99077-d48b-4389-8598-484b665eea2f · outbound

This paper cites Collective classification in network data.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Collective classification in network data

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.538030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.265903Z digest=sha256:339fabeaf67ac6c574a8d988d39d812a28596df911809ec7094d98f8102e4639

Observation 22c40b5d-c5ce-4d62-99e7-8ac400d63da1 · outbound

This paper cites Query-driven active surveying for collective classification.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Query-driven active surveying for collective classification

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.526816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.269598Z digest=sha256:c0d7fec6d6b36ccbb2b4abc34d722be7f74e6ac720bc4c026f3049d389183f8f

Observation 57c664f3-67b9-4164-be54-da0ed8425675 · outbound

This paper cites Using tabu s earch techniques fo r graph coloring.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Using tabu s earch techniques fo r graph coloring

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.515399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.274234Z digest=sha256:c4706fa54ea545a77c5ca65968cdfa60eda4894c2546238d3b988a6165a1e06e

Observation c5c6c696-5e25-4d19-a742-e74954b40dfb · outbound

This paper cites Rethinking Graph Neural Networks for the Graph Coloring Problem.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Rethinking Graph Neural Networks for the Graph Coloring Problem

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:32.278132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:32.278132Z digest=sha256:c5cf00bd8b104de843456b4a2ffa366c187a6d964520bb629e5ab63195c75722

Observation 55a6fb35-a041-489c-97ef-d5bb14e7585e · outbound

This paper cites Back-propagation with chaos.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Back-propagation with chaos

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.503462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.282412Z digest=sha256:e31776c417cd14df82c7e185efc2aed4f32887605271f1523fb5c09126a38501

Observation 44cf1eb7-9e0a-4b35-97bb-834d0021c14a · outbound

This paper cites Self-backpropagation of synaptic modifications elevates the effici ency of spiking and artificial neural networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Self-backpropagation of synaptic modifications elevates the effici ency of spiking and artificial neural networks

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.491781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.286484Z digest=sha256:320bffff27f7a40f54d07350357aa1ed8476ca00b26211fbc432866d93842183

Observation 4f735c35-5707-4f10-b61b-911e8fffb744 · outbound

This paper cites The forward-forward algor ithm: Some preliminary investigations.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization The forward-forward algor ithm: Some preliminary investigations

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.480105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.290329Z digest=sha256:2073b0e48693d9ffb2c530c5d70db0b5b27e2e640d9ba893167977ad4f12d56d

Observation 9e0d0da7-ed5e-4ecb-a545-9a96fdcf0532 · outbound

This paper cites Adabelief optimizer: Adapting stepsizes by the belief in observed gradients.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Adabelief optimizer: Adapting stepsizes by the belief in observed gradients

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.468724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.294854Z digest=sha256:6302ccc854d640c0c11f1faeb18493a28b5a08cff3ccd1c941a562456312e7d5

Observation 986fb905-83b4-4a1b-806e-fec8e947b6dd · outbound

This paper cites Adan: Adaptive Nesterov Momentum Algorithm for Faster Op timizing Deep Models.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Adan: Adaptive Nesterov Momentum Algorithm for Faster Op timizing Deep Models

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.457244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.298458Z digest=sha256:ea249feb2b3f6f1dd08956b3b94e647481de5910e0a44c936932faa7419262e2

Observation b657e858-5f9d-487e-a182-c13f594cee42 · outbound

This paper cites Sparse graph attention networks.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Sparse graph attention networks

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.445522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.302258Z digest=sha256:549ee0d64aa452ae660ae7108d79dd2aac79a563d48ac39997e91524fadfea3f

Observation 4a80610e-c880-47b6-adf4-b65e4278bbc1 · outbound

This paper cites Deep graph library: Towards efficient and scalable deep learning on graphs.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Deep graph library: Towards efficient and scalable deep learning on graphs

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.433088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.306179Z digest=sha256:3a299f3ab475fd840cf5ee54be92c2f13e1c2ef58dbc75f92988fdb0e51f727f

Observation ed6e822c-ad3a-4086-a2e2-5d7b44422871 · outbound

This paper cites Rectified lin ear units improve restricted boltzmann machines.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Rectified lin ear units improve restricted boltzmann machines

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.420523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.309788Z digest=sha256:f79752f5946853e94feae49be8cec2a9284136b75d9746b735c84ffa39746b26

Observation 7df6e5ff-c499-433b-9d1f-1b092bebb2fe · outbound

This paper cites Dropout: a simple way to prevent neur al networks from overfitting.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Dropout: a simple way to prevent neur al networks from overfitting

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.409561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.313558Z digest=sha256:ca853646b234b2d19ef7a5f8546666b298f090cf74d6e10eb94465ef35eb7955

Observation d4e5e94f-0060-4496-9bb2-d947fe5e9d1f · outbound

This paper cites Batch normaliza tion: Accelerating deep network training by reducing internal covariate shift.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Batch normaliza tion: Accelerating deep network training by reducing internal covariate shift

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.397799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.317187Z digest=sha256:fb58094fd64665f009dd95b5c0eaee3f0d82962e5dc741c78d6fadd8c911c9f4

Observation fcee2eee-822c-4a85-becf-b0a9e8f2e784 · outbound

This paper cites Pytorch: An imperative style, high-performance deep learning library.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Pytorch: An imperative style, high-performance deep learning library

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.386196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.320711Z digest=sha256:8aed131124671a6c4cf4cf04ebc303b99de46fe1e698a92df618ea06ab6c337f

Observation faaae027-9705-47cb-a9b1-a45f1a0ab23e · outbound

This paper cites Making a science of model search: Hyperparameter optimi zation in hundreds of di mensions for vision architectures.

Brain-inspired Chaotic Graph Backpropagation for Large-scale Combinatorial Optimization Making a science of model search: Hyperparameter optimi zation in hundreds of di mensions for vision architectures

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:32.373437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:44:32.324136Z digest=sha256:bff7c86e15147cb0d81ee55f48de1a858ef6bdc82390c21340444449e9755826

Pith citing papers

No inbound Pith citation observations are available.