Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:21:38.792549Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2505.22363.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:21:38.792549Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T16:41:19.894242Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T02:28:24.338817Z
64 of 64 outbound references displayed
External citation measurements
0
pith, observed 2026-08-05T02:28:24.338817Z
Observation 8d5d22ee-4040-4575-9e2c-ea70e10c926c · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation This is the result of theBanach fixed-point Theorem
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d46f3189-e7cd-4b3a-8090-08a57d9329af · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation neuron” block is exactly the dynamics presented in the left- hand side of (9) that describes the internal dynamics of the neuron. For thek th neuron, the internal “neuron
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6bcc62e4-30d1-4bad-8103-f658686351ab · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Among these properties,mono- tonicityholds a special place
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b3d49fde-ffd0-4a00-a824-43446bba5bda · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation The justification for the breakdown of monotonicity is threefold
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 919b47f7-b454-475e-8acb-7ea92d06a25f · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation To further exploit the structure of our problem and simplify the proof of convergence, further assumptions are put on the operators
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e99f1c0c-baa8-44bd-b301-76efe6f54d77 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 53ddd96d-09d2-405a-88f0-93543d8b6213 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e15d5dba-a3c1-4e8a-ae63-064399d6aa3d · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Then, the fixed-point iteration zk+1 =T(z k)(27) converges to a solution of (23), if such a solution exists
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2b9545a2-9dbe-45a9-80a7-7ecc9ae3f79f · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation The main bottleneck lies in computing the resolvent operatorJ Fi
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2940321e-4c6c-4584-95ac-737e2110efa9 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation The dynamic operators, including bothDthat represents the capacitor andL that represents the first-order lags, are LTI systems
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1060ea08-3031-4527-bc41-e6fc63c8cc90 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation This matrix is used at every iteration of Algorithm 1 and does not change throughout the simulation
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c1e41a19-2c49-4dc1-94f9-2244e408d941 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation The first one isαwhich is the stepsize of Algorithm 1 and dictates the change at every iteration
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3937ca73-8f63-464a-85f8-9e19efd9b8c3 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Here, the ∥xk+1−xk∥ ∥xk∥ determines the change of the solution after one iteration
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce28ee62-9bf0-421c-a6ce-0deeb29de4a0 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation In doing so, it is possible to feed this solution to the initial ZFP of (23)
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 86b97b2b-62c0-4111-92a9-1cf742b13533 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation acaebf8e-9e6d-4c67-b195-822609d0b773 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 57093ddc-d3bc-419a-9281-00db160ea774 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation The concave-convex procedure,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72c57ed5-4e5f-4b15-b78c-08e04bd52ffb · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Bursting neurons are interconnected through inhibitory synap- tic connections
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation adf026bf-2b2a-4b5d-8b3f-1570eabbe433 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation af4ef437-f857-4e68-bf9c-6c9ccd7cb124 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c069139a-d9c6-4779-b26b-b08cd6a6ff4e · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 004b6d36-dae0-4915-b8c8-92d9ddba1efe · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 37b9a221-2a01-40c8-b46f-6d89c92cc05e · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Proof:By proposition 1, this theorem holds if the operator Tis averaged
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 36803b71-88d9-4cd7-9fce-d512b2e54d05 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce7b4a59-5c3f-412f-a634-a119c505b0ce · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 21cbcb69-1729-4d75-bdec-77dcf10d8916 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7c4c235c-4689-4854-9081-e2e2fa83bd92 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 789a28aa-b5e5-4b9f-b51e-deda01d59276 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ed480970-4469-4e8d-9ecf-9714608d5d1a · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2b18025b-92be-4244-bd58-42e9e2e13fb2 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation A quantitative description of mem- brane current and its application to conduction and excitation in nerve,
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb26928c-ea00-4add-ae74-cb2bf5fc4dc3 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Event- based vision: A survey,
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ce1ff82-5fa0-419a-ab96-77c2dfb2d6c6 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Neuromorphic computing using non-volatile memory,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8b02e26b-2a89-4af8-9507-f911efbc5aef · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Spike-based local synaptic plasticity: A survey of computational models and neuromorphic circuits,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 077103b7-22e2-4462-b4af-7678c99f33e6 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation A review of spiking neuromorphic hardware communication systems,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2f161c3e-da10-47a8-9a70-91f0fdb576d9 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation A review of learning in biologically plausible spiking neural networks,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 98534ea1-2712-4c31-907f-83b9108bb828 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Neuromorphic control: Designing multiscale mixed-feedback systems,
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0272244b-735c-42e0-8d88-44fab4a92029 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation How modeling can reconcile apparently discrepant experimental results: the case of pacemaking in dopaminergic neurons,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1245735f-3dac-4a2d-a16f-1fc23af97d5f · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Brogliato,Nonsmooth mechanics: models, dynamics and control
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6bc91357-0bdc-492a-81a8-73f0327a21ee · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Monotone networks,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bfb7a3b0-9dd3-4093-859a-b6e2b40b20cd · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Linear passive systems and maximal monotone mappings,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e7b2dc0-3ea6-4974-808f-d4c00961ef3e · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Monotone one-port circuits,
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9296f587-e1fd-4b92-a720-68e5e75ec93b · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Circuit analysis using monotone+ skew splitting,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dd543f9f-911c-4688-b1f9-4b0562251eb9 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2276c7b7-0178-4d14-a85d-18304a00d2f0 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e2984155-69c5-4c3a-955d-1e59977b8859 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Input/output analysis: graphical and algorithmic methods,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3a7bc345-c759-4dcc-ad02-9d15f7f1b6e1 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Spiking control systems,
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 504fa555-74f1-47cd-b43b-b5ade8f6288b · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Sodium leak channels in neuronal excitability and rhythmic behaviors,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 058d75e4-2409-4ba0-b303-a130ce45e376 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4cc3fe60-e115-40a7-bad7-553e92fd99c0 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Proximal algorithms,
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23bcbea9-71d5-42ec-bc10-6c89240e1153 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Neuromodulation of neuromorphic circuits,
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 33cdcdb5-ac7a-40ff-a359-04c652a6040d · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Synthesis of neuromorphic circuits with neuromodulatory properties,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 91d8c5ac-7c4e-43b5-a55a-06f4a992fbdf · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation An Operator-Theoretic Framework to Simulate Neuromorphic Circuits
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 384dd39a-647f-4060-98d2-a79a1773c351 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Neural networks and physical systems with emergent collective computational abilities
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 934cde1d-0ef4-4121-bcdb-e9b02874c5f8 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c735af48-b1ef-4cd0-b4b4-f4804b0a11b3 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Distributed optimization and statistical learning via the alternating direction method of multipliers,
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 609b877f-cfb4-4b71-8045-513844483c4c · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Proximal methods for cohypomono- tone operators,
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7f38b601-93d4-4469-ac20-560250df330d · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation A three-operator splitting scheme and its optimization applications,
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2e1c3aae-ef30-4951-bc10-2cae9f56ed9f · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation A unified douglas–rachford algo- rithm for generalized dc programming,
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 73593eea-b1b1-4a09-b710-c3b2ffbc118b · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4e0eb6f0-e75a-4357-b9d7-20147afc157c · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Neuromodulation of brain states,
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 394af435-8d05-4bd8-a55c-aefc762d93fd · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Bertsekas, A
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4baef306-4bcc-4b47-b7d2-e00df0e0aefa · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Disciplined convex-concave programming,
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 462efb0d-2068-451e-b57c-7113e78f5bda · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Variable Metric Splitting Methods for Neuromorphic Circuits Simulation
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 41130389-c218-4133-890b-52d310835412 · outbound
Operator-Splitting Methods for Neuromorphic Circuit Simulation Unresolved cited work
Reference 6400
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 728e80e2-2853-4333-81da-e2838aa4cf3d · inbound
Circuit realization and hardware linearization of monotone operator equilibrium networks Operator-Splitting Methods for Neuromorphic Circuit Simulation
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.