Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:53:10.381883Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2506.15950.
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 2026-08-06T23:53:10.381883Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:56:19.215561Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T23:56:19.462234Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation bfa96ae6-8454-47d4-8b86-9b95968fe732 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Computation over multiple-access channels,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation feb3d35d-81f0-49df-af1f-703663588522 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design A survey on over-the-air computation,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9fd91688-6d7e-4fd7-bd58-c9a4d188c557 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design To repeat or not to repeat: Insights from scaling LLM under token-crisis,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d0de299-3f3f-48b6-9b8c-90a98f6cbfb8 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Scaling Laws for Neural Language Models
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23398e19-214f-46ec-bcd4-d52bc23e0d74 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Bigscience large open-science open-access multilingual lan- guage model,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7fce74c7-fbd9-48e5-aabc-ff7a41ae60e2 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Estimating the carbon footprint of BLOOM, a 176B parameter language model,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 319f3325-067f-422a-a065-b947068bea5c · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Distributed training of large language models,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 52155181-460e-417a-ac52-36aae7137a72 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air computation for distributed systems: Something old and something new,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0a1ee602-99ca-4f37-9a49-13c14a92c1e7 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Accelerating distributed optimization via over-the- air computing,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1d3a4ef9-7285-4893-9024-601131fba0ae · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Wireless for machine learning: A survey,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 79a00aa4-71b4-4d14-a9d2-6286988a79b3 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Federated learning over wireless fading channels,
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 058a57b4-0571-41b3-9f9e-770035b3eb9f · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Modulation-free M2M communications for mission-critical applications,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b0ddc0cd-d673-4d87-92ff-f8da92793acb · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design WHYPE: A scale-out architecture with wireless over-the-air majority for scalable in-memory hyperdimensional computing,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9d88e9fb-ba9c-46cb-bc79-5e1c90473007 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Compute-and-forward: Harnessing interfer- ence through structured codes,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 78010d37-b766-4436-8c11-df8258a83bf4 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Harnessing interference for analog function computation in wireless sensor networks,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 853f3b2a-0e8b-4697-b1a0-9a21b63f4efc · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Nomographic functions: Efficient computation in clustered Gaussian sensor networks,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a807cd75-4718-44c7-8188-e1a82e6dbf47 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air computation for IoT networks: Computing multiple functions with antenna arrays,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3f93b946-0d4b-41ff-a275-cef93ab5905a · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Robust design for massive CSI acquisition in analog function computation networks,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 775c0c95-8bd0-4b0b-8bb1-2c5d35f90c49 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Robust analog function computa- tion via wireless multiple-access channels,
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2782b63-f248-44e4-88ac-0aa9125ba179 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air computation over balanced numer- als,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f73d1fae-6e22-4cd7-a897-5d65b3204e6c · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Computing functions over-the-air using digital modulations,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6d045635-f79c-480e-b683-eb7aa9d0f2d9 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design signSGD: Compressed optimisation for non-convex problems,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0486e3f2-6514-425a-8f1f-8d6044192259 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Distributed learning over a wireless network with non- coherent majority vote computation,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1ddf3ea5-71e0-44e3-8295-8cb3939a0dd1 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air majority vote computation with modulation on conjugate-reciprocal zeros,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ce3d9f10-a2a2-4f3a-9d25-bad9391e95c9 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Waveforms for computing over the air,
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86bb11e2-3acf-4ab3-979e-b3bf2e64f58a · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design ChannelComp: A general method for computation by communications,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c74bdcce-9db0-4e26-9341-a96b9aa44885 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design SumComp coding: Digital over-the-air computation via the ring of integers,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 167a4058-a235-465b-986e-5396b47d8574 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Blind federated learning via over-the-air q-QAM,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0952e7e8-bf84-40f1-9c77-f292cff6c746 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design A novel channel coding scheme for digital multiple access computing,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0acf23e2-9c36-4fbe-8eec-6194590394f2 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design ReMAC: Digital multiple access computing by repeated trans- missions,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 82d4241a-9ce0-41e6-a853-b13236a00e4b · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Channel-Aware Constellation Design for Digital OTA Computation
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 28d44854-a44f-4c15-a938-38e6ad2b5103 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Modulation and coding for linear Gaussian channels,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bbc0faa3-8c1d-4f8e-92c3-af2476bd7261 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design On the optimality of uniform pulse amplitude modulation,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 89ca9bab-0150-4e5f-82a9-623f5c7313a0 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Constellation-optimal beam- formers for multiuser MISO broadcast visible light communications,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation defb033d-4717-4ace-a8df-3f547de25f7f · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Signal processing and detection,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9038d512-39af-4936-8a9a-37d4c6af9668 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Performance analysis of APSK modulation for DVB-S2 transmission over nonlin- ear channels,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4f564722-531e-48e3-989f-7fb2d8be5bb1 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Approaching capacity by equiproba- ble signaling on the Gaussian channel,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 36a47c37-55fd-49e1-a953-e3c598753b6f · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Constellation design for memoryless phase noise channels,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 72caaa8b-a631-4a0d-81b6-d62e02333f72 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Optimization of two- dimensional signal constellations in the presence of Gaussian noise,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d8105d6-a015-46a8-a465-9896ed583f61 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Performance of nonuniform constellations on the Gaussian channel,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 739c544a-bf1b-4b99-a428-5707b22cc668 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Space modulation with CSI: Constellation design and performance evaluation,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5187c110-dcb2-4638-8801-25237ad298de · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 800301dd-aee5-43ac-8186-7b5f48fb5f34 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Blind asynchronous over-the-air federated edge learning,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83fd8f17-6c68-4ed5-9f60-4794be3f6ae7 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Optimal receive filter design for misaligned over-the-air computation,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1f2ff9c6-6371-4130-92ab-1aea1ae76f9e · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Timely and painless breakups: Off-the-grid blind message recovery and users’ demixing,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c293d24e-75b9-4855-a057-b47b9a886a1f · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design One-bit over-the-air aggregation for communication-efficient federated edge learning: Design and convergence analysis,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83b5ccf6-d110-4648-905e-3b1a75789451 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Broadband analog aggregation for low-latency federated edge learning,
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10bd24e5-621b-431b-b017-47082109aad8 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Digital over-the-air computation: Achieving high reliability via bit-slicing,
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b1ec2fb8-964d-4208-b22b-e8531eebd566 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Asymptotic error probability analysis of quadratic receivers in Rayleigh-fading channels with applications to a unified analysis of coherent and noncoherent space-time receivers,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1669c983-5ac7-4364-8aed-5f0353568ddd · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Space-time codes for high data rate wireless communication: performance criterion and code construction,
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 79757070-c37a-487d-a418-e962693da4d8 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design New exponential bounds and approximations for the computation of error probability in fading channels,
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fd8228c9-8f0c-4303-9420-6cb72babc98f · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Transmit beamforming for physical-layer multicasting,
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8e310f16-af1c-42f5-97ea-1cf8240c8b30 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Ex- perimental evidence for heavy tailed interference in the IoT,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 129ce287-d990-46ed-9332-90d8eeb38521 · outbound
On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design A universal approximation result for difference of log-sum-exp neural networks,
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 50e16a77-3580-4e2c-93aa-ae61b390ddcb · inbound
On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.