Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T18:18:32.637458Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 1 inbound Pith citation observation for arXiv:2411.11710.
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 2026-08-12T18:18:32.637458Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T05:54:36.553305Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T05:54:37.027041Z
72 of 72 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 211c1109-665c-4497-8d49-5261e0d6c556 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Tkaˇ cik and W
Reference 1
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.
Observation 3f954ea9-5476-4dec-a687-86d388bfac68 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Barkai and S
Reference 2
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.
Observation 55fc67aa-0bb8-473c-b051-f9d97266092a · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 3
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.
Observation fb8b7df1-9f96-4bab-b0d0-b41d497ed5e6 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Flatt, D
Reference 4
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.
Observation 3d75bed9-f0cc-4634-8286-9dfb98395c05 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Mochizuki, An analytical study of the number of steady states in gene regulatory networks, Journal of Theoretical Biology 236, 291 (2005)
Reference 5
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.
Observation 0446820e-e362-46ba-8a7e-d53a1858407b · outbound
Multiscale nonlinear integration drives accurate encoding of input information Trapnell, D
Reference 6
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.
Observation d623061f-55bb-4513-925f-c0b773198894 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 7
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.
Observation eb7db583-861b-42fd-8801-4cf4bd2c0bde · outbound
Multiscale nonlinear integration drives accurate encoding of input information Klosin, F
Reference 8
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.
Observation 61034f25-398f-41ed-ba2d-877a0d2e3fd0 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 9
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.
Observation fd636eea-373a-47f4-bfe9-375d91ec7d4d · outbound
Multiscale nonlinear integration drives accurate encoding of input information Barzon, G
Reference 10
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.
Observation f8c209ee-aad5-4c84-b544-e5a04ffc4a5d · outbound
Multiscale nonlinear integration drives accurate encoding of input information Dubreuil, A
Reference 11
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.
Observation 3959640a-36d9-4c29-bf29-990ec3299a0f · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 12
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.
Observation 626e34a1-7950-464a-ad4f-3277a67f712b · outbound
Multiscale nonlinear integration drives accurate encoding of input information Cheong, A
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1952327-4ca2-431d-9df4-7b694f7cfe9d · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 14
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.
Observation 9b1c7845-692d-4acb-9a18-86445e531db5 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Szanda la, Review and comparison of commonly used activation functions for deep neural networks, Bio- inspired neurocomputing , 203 (2021)
Reference 15
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.
Observation e4875e97-04aa-4f81-a3d5-ae5a12570490 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Karlik and A
Reference 16
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.
Observation 14340b1a-fb16-4395-8a5e-62c23f0bd266 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Searching for Activation Functions
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64c26e52-f6cc-4568-9ce8-998326d09c4d · outbound
Multiscale nonlinear integration drives accurate encoding of input information Apicella, F
Reference 18
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.
Observation 8b16bc3b-f3f4-4ccc-8792-9d0afd0f5b0b · outbound
Multiscale nonlinear integration drives accurate encoding of input information Activation Functions: Comparison of trends in Practice and Research for Deep Learning
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a29180fb-9c8d-4f85-a0e7-5931050f57c7 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Recurrent neural chemical reaction networks that approximate arbitrary dynamics
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3559e4fa-8c92-4a48-b9c6-0cbc3208fd6b · outbound
Multiscale nonlinear integration drives accurate encoding of input information Hayou, A
Reference 21
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.
Observation 530c595f-56ae-44f6-9560-3b9e5f014460 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Limits on the computational expressivity of non-equilibrium biophysical processes
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d78abee-8ac9-403b-818b-a2e1ef1945b4 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Excitation-inhibition balance controls information encoding in neural populations
Reference 23
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.
Observation 5f49bbaa-9b0b-4c02-bdd6-c8f0a22d1470 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 24
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.
Observation 22f0b1ef-ca4a-4c05-b18f-dd17f068b41c · outbound
Multiscale nonlinear integration drives accurate encoding of input information Golesorkhi, J
Reference 25
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.
Observation f35398a8-16e7-4e54-b3c4-94f623fea0ea · outbound
Multiscale nonlinear integration drives accurate encoding of input information Mariani, G
Reference 26
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.
Observation 6db200fd-d22f-44c9-9e88-e32e017fde2f · outbound
Multiscale nonlinear integration drives accurate encoding of input information Zeraati, A
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b6dcc2b-fab9-45a2-9df0-6f56a064ec10 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 28
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.
Observation fe13ec0e-0d3c-426a-8bb4-ceda202cffa2 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Ito and T
Reference 29
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.
Observation 1a3e09d4-f7cd-403a-96bc-0a8d6154a3d5 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Nicoletti and D
Reference 30
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.
Observation 61602d51-0f83-42f3-ad39-f6dd9cda7673 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Nicoletti and D
Reference 31
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.
Observation 17080a13-c5c5-46e9-afe7-f394fc766645 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Nicoletti, M
Reference 32
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.
Observation 936919ad-3120-4bd8-ad41-6f4f4f65c0e9 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 33
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.
Observation f0029cca-5e56-40dc-ba40-088c670e6589 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 34
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.
Observation e2bf51ca-dd1c-4357-b58c-20ea27c1363c · outbound
Multiscale nonlinear integration drives accurate encoding of input information Bauer and W
Reference 35
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.
Observation df342f81-84cb-4bef-8567-8e355b20e5e1 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Nicoletti and D
Reference 36
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.
Observation a03cbdd5-41e5-4006-8196-a1f7f8b97457 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Tostevin and P
Reference 37
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.
Observation 30edfb70-62c1-4569-954e-5f49ba82e6cb · outbound
Multiscale nonlinear integration drives accurate encoding of input information Moor and C
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55a1d5e3-ea95-4a5c-87ef-eea4ca311ebb · outbound
Multiscale nonlinear integration drives accurate encoding of input information Nicoletti and D
Reference 39
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.
Observation bba31213-2119-4e47-8fdc-871c8f9d0d9c · outbound
Multiscale nonlinear integration drives accurate encoding of input information De Domenico, A
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39833eac-7819-435b-a6f4-68221a5b4147 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Ghavasieh, C
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6297f413-429e-4ad2-9ec2-b649e4588b93 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 42
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.
Observation ab833371-01fd-4ae3-b105-8795ac8ff307 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 43
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.
Observation cbe0dcfb-bec5-4954-a044-34a11177ddc5 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 44
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.
Observation 4d2be6c0-8b92-43bb-b15a-f76b320acbc9 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3ae8009-7a5b-4109-acc3-b4f4fe29db15 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Sompolinsky, A
Reference 46
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.
Observation e24e9ef9-d37d-4f03-a4be-a97061065421 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Kadmon and H
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2cf9358-6cf2-4ed1-bfed-fe1c4d9a6439 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Engelken, F
Reference 48
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.
Observation 3cd3a315-fdad-479a-b76c-1796497a0b03 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Lukoˇ seviˇ cius and H
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2a10f57-3115-439d-a3ea-3572d6bd1536 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Maheswaranathan, A
Reference 50
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.
Observation aa55304f-b79a-4fd1-9abc-7ef13e57f4ae · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 51
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.
Observation 9a1a76ca-f5a9-476d-affd-cf77715172c6 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Tanaka, R
Reference 52
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.
Observation 2de28da7-4ba9-4317-b421-ef23294619c4 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 53
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.
Observation e4734ad5-6f3d-438c-81d0-c9221f948cb3 · outbound
Multiscale nonlinear integration drives accurate encoding of input information We also study the simplest case of an input-output system without a processing unit
Reference 54
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.
Observation 3abcfce6-32f4-44f6-b869-7ba80a8cfd4b · outbound
Multiscale nonlinear integration drives accurate encoding of input information Nicoletti and D
Reference 55
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.
Observation f08afdc7-75e3-4057-b211-5e746fe2ea09 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Vasicek, A test for normality based on sample en- tropy, Journal of the Royal Statistical Society Series B: Statistical Methodology 38, 54 (1976)
Reference 56
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.
Observation 678db5de-36ee-4750-98dd-0d8cb2a0ea11 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 57
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.
Observation 0b05b400-66dc-4b5a-8613-28f6c39dc1a3 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Lu and J
Reference 58
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.
Observation 770fd9bf-768d-4088-9654-667a4ffb399e · outbound
Multiscale nonlinear integration drives accurate encoding of input information Multiscale nonlinear integration drives accurate encoding of input information
Reference 59
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.
Observation be83ada6-7f17-4247-a9ff-e99dc3907460 · outbound
Multiscale nonlinear integration drives accurate encoding of input information (S2) and (S3), as the integral over ⃗ xP explicitly depends on the form employed for activation function implementing interactions between the units
Reference 60
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.
Observation 90bb1cd3-613a-4f20-bcf8-bb22aba3a043 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Contrary to the previous case, we cannot reduce the effective operator to a sum of independent one-dimensional integrals
Reference 61
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.
Observation 1c78ad17-4176-4954-9846-fb1cb65f22ce · outbound
Multiscale nonlinear integration drives accurate encoding of input information fast processing
Reference 62
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.
Observation 335d5047-5c7c-4bbe-b91d-9f803d2b7aed · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 63
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.
Observation 81658a37-aecf-4462-b3e9-4a04bf28687a · outbound
Multiscale nonlinear integration drives accurate encoding of input information (S27) or Eq
Reference 64
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.
Observation 65976e61-a5c4-4f9d-8729-b08d66757498 · outbound
Multiscale nonlinear integration drives accurate encoding of input information slow processing
Reference 65
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.
Observation 057d9639-feae-4897-9bb7-2b8f83e2bde5 · outbound
Multiscale nonlinear integration drives accurate encoding of input information , Nsam,I
Reference 66
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.
Observation a726c5e5-ab73-4b68-86d6-2483e6dbaed6 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 67
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.
Observation 193b729b-271d-47d8-802c-bfc0ec422c6c · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 68
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.
Observation 10e837dc-7da9-4686-95aa-5d2a2cd62bdd · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 69
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.
Observation 635ca273-bbcb-4474-8e13-fbd9d5bf9be5 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 70
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.
Observation ae9ac92e-5b27-4f1e-8122-902b442c8799 · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 71
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.
Observation f5be2d43-92c1-4683-a212-af72cc82b8ee · outbound
Multiscale nonlinear integration drives accurate encoding of input information Unresolved cited work
Reference 72
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.
Observation b261f5b3-37c5-45b5-9edf-54d20d696fef · inbound
Stochastic processes with multiple temporal scales: timescale separation and information Multiscale nonlinear integration drives accurate encoding of input information
Reference 45
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.