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Paper Citation Record · LEDGER

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.16098.

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

pith.paper-citation-record.v1
2506.16098 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:55:02.032584Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d331ec30-3148-4baa-a0fc-bc414dddbbf6 · outbound

This paper cites End-to-end learning of joint geometric and probabilistic constellation shaping,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling End-to-end learning of joint geometric and probabilistic constellation shaping,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.255937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5835a4f0-4f37-458f-a04a-63668821590b · outbound

This paper cites On shaping gain in the nonlinear fiber-optic channel,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling On shaping gain in the nonlinear fiber-optic channel,

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.247058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 65ba95be-1c3e-4563-af92-3ad5a6f9b76a · outbound

This paper cites A shaping algorithm for mitigating inter-channel nonlinear phase-noise in nonlinear fiber systems,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling A shaping algorithm for mitigating inter-channel nonlinear phase-noise in nonlinear fiber systems,

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.237805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 532dd19a-ea91-4a69-8d29-a02cfdf8a352 · outbound

This paper cites Introducing enumerative sphere shaping for optical communication systems with short blocklengths,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Introducing enumerative sphere shaping for optical communication systems with short blocklengths,

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.228926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:01.983943Z digest=sha256:586ab55c340d6d198ebe91f3c8806bcb5561f0edf50ca18db618e8ec8987b8e2

Observation 06d6399b-0042-4525-86c9-9a986b6d8945 · outbound

This paper cites Probabilistic constellation shaping for optical fiber communications,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Probabilistic constellation shaping for optical fiber communications,

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.219405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:01.987221Z digest=sha256:c4a9d5d81b789860dd3fd16572d5f8960f04872d1ba06f97152f1cf3e829b8ce

Observation 7b33eabf-e25d-4fe5-b401-a7a0ea12d304 · outbound

This paper cites On probabilistic shaping of quadrature amplitude modulation for the nonlinear fiber channel,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling On probabilistic shaping of quadrature amplitude modulation for the nonlinear fiber channel,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.210132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:01.990443Z digest=sha256:8c0df4454bc4c4547f2f507ff0176e78c4fd4e887079e22b8e83079f4f5af12f

Observation d613059a-afb2-466a-b8d2-8d3c43d3d3e4 · outbound

This paper cites Non-linear phase noise mitigation over systems using constellation shaping,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Non-linear phase noise mitigation over systems using constellation shaping,

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.201118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:01.993716Z digest=sha256:0f0088626fc3e81ed2a6193cecfe04ccf07d3c318745851e940b500e6c760893

Observation ff15b4b4-32b9-409d-a414-65ccb8bdb738 · outbound

This paper cites Parallel bisection-based distribution matching for nonlinearity-tolerant probabilistic shaping in coherent optical commu- nication systems,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Parallel bisection-based distribution matching for nonlinearity-tolerant probabilistic shaping in coherent optical commu- nication systems,

Reference 8

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.192085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:01.996613Z digest=sha256:9016e65967ac373b9b6bb3cd735e58f96a3944ba4ee942146e4ea1127cf2c4e5

Observation 6267066a-3b12-4e39-b4c9-ed7708069ed6 · outbound

This paper cites Achievable Rates for Probabilistic Shaping.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Achievable Rates for Probabilistic Shaping

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:55:02.084425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:01.999359Z digest=sha256:22191164769ecd680349ec0d111a5e6585d7fd37a6b3e827e222084efc42f6cd

Observation c38ef027-30ab-4019-aae3-d4defe204a81 · outbound

This paper cites Joint learning of geometric and probabilistic constella- tion shaping,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Joint learning of geometric and probabilistic constella- tion shaping,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.182521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.002770Z digest=sha256:94b9d9ff3b857b33e776c03434bf2ae1e99518674da95c277352bf70f7aabbeb

Observation 01f618f8-ec89-4916-822d-579ab6d3f678 · outbound

This paper cites Joint learning of probabilistic and geo- metric shaping for coded modulation systems,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Joint learning of probabilistic and geo- metric shaping for coded modulation systems,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.173025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.005445Z digest=sha256:c8f863d0e7b3d8b8f88e61fd20bd8ccd3fd27e4b3b6dc2e92503e434ba351eee

Observation 7b5c2632-9589-4ab6-a9be-75b1ad4f85c9 · outbound

This paper cites autodiff, a modern, fast and expressive C++ library for automatic differentiation,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling autodiff, a modern, fast and expressive C++ library for automatic differentiation,

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.163214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.008096Z digest=sha256:bfc6eb7a7349071f98b336d7bbb032909c3c7ba53b92fc58816003d1d5b52f92

Observation b113dd9a-ee4e-4121-917a-9e55510e3926 · outbound

This paper cites Memory-aware end-to-end learning of channel distortions in optical coherent communications,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Memory-aware end-to-end learning of channel distortions in optical coherent communications,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.153099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.011105Z digest=sha256:6dcfd9696669c281657ecf601bc3b51785bf8102a3937559d8a5c58231d0b367

Observation 72ba9211-bd3a-4325-8dbc-5cf76960a635 · outbound

This paper cites Probabilistic amplitude shaping,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Probabilistic amplitude shaping,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.143962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.014445Z digest=sha256:79e2732b0ab625fa4190c318e88c70d67eed75fdb44a793124cf76df3afbb815

Observation f626807b-ccd2-42dd-b834-3a8160175c74 · outbound

This paper cites Simulation-based computation of information rates for channels with memory,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Simulation-based computation of information rates for channels with memory,

Reference 15

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.134223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.017271Z digest=sha256:67e9a0a52dd4d33900eef27ddb3b2f84b92aa0275d85ef3c384e5d9f73958da2

Observation 54468ac5-5319-42f3-bec3-61a6c4943ed5 · outbound

This paper cites Optimal nonuniform signaling for Gaussian channels,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Optimal nonuniform signaling for Gaussian channels,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.123418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0ee2c288-e3a8-4b94-bbc9-17b9de2c1325 · outbound

This paper cites Probabilistic Shaping for the AWGN Channel.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Probabilistic Shaping for the AWGN Channel

Reference 17

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verified exact
local_arxiv, observed 2026-08-06T23:55:02.069248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.023007Z digest=sha256:e67de3e3eaa80de5a68ee95063f7d56fec49f37c5ef94078abb03e9ab411edfc

Observation ba730c2d-3bd9-429a-b26e-bbb2dcec9731 · outbound

This paper cites Training deep networks without learning rates through coin betting,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling Training deep networks without learning rates through coin betting,

Reference 18

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verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.113834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.026276Z digest=sha256:4c3c2a9a28414d8914c7604075a767a75b7e0e3c0889dff4c14d6dc32531de7a

Observation cbf146d9-d176-4e85-b4a9-11c6e4f60346 · outbound

This paper cites A note on multivariate Gauss-Hermite quadrature,.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling A note on multivariate Gauss-Hermite quadrature,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.104316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.029397Z digest=sha256:872b5ce63e12c1f27cb7e34a0ae22fd3b4d9a96bbb2f4c01f6580de55cbea329

Observation fcd6070a-a335-435b-aae2-2f39aa5703e7 · outbound

This paper cites End-to-end learning of probabilistic constellation shaping through importance sampling.

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling End-to-end learning of probabilistic constellation shaping through importance sampling

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:02.094496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T23:55:02.032584Z digest=sha256:2b7df3062e7226c5430e208c5449e4868a6fca2fc939c584791a57f30923246c

Pith citing papers

No inbound Pith citation observations are available.