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Paper Citation Record · LEDGER

Rethinking the long-range dependency in Mamba/SSM and transformer models

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2509.04226.

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

pith.paper-citation-record.v1
2509.04226 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:22:53.238293Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T23:54:12.337711Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T07:05:59.428773Z

Reference resolution

41 of 41 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation c53c4422-ab1e-402d-ae74-02b2e37b0428 · outbound

This paper cites Long short-term memory.

Rethinking the long-range dependency in Mamba/SSM and transformer models Long short-term memory

Reference 1

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source=pdf_text observed=2026-08-05T10:22:53.007069Z digest=sha256:9b3feedcbe1c6eff802047475081bc4e759b38aca312abb996a6040ecd475a15

Observation ccae922a-f51f-461e-8bae-d1c5113bacb6 · outbound

This paper cites On the Properties of Neural Machine Translation: Encoder-Decoder Approaches.

Rethinking the long-range dependency in Mamba/SSM and transformer models On the Properties of Neural Machine Translation: Encoder-Decoder Approaches

Reference 2

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source=pdf_text observed=2026-08-05T10:22:53.012810Z digest=sha256:db604a68e213df7e6f7e6b2e68c691ac33d81869f13bd717c9a86a56a880852d

Observation 92c48215-b202-4608-9699-9f40e77f8af7 · outbound

This paper cites Attention is all you need.

Rethinking the long-range dependency in Mamba/SSM and transformer models Attention is all you need

Reference 3

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source=pdf_text observed=2026-08-05T10:22:53.019249Z digest=sha256:d2447f6c7e65f887e047eb057b970257ed2ea7c15e30d77a666d48ac180601e6

Observation 31de27d3-4853-4717-9291-9e5c26c2c8c8 · outbound

This paper cites A comprehensive survey on applications of transformers for deep learning tasks.Expert Systems with Applications, 241:122666, 2024.

Rethinking the long-range dependency in Mamba/SSM and transformer models A comprehensive survey on applications of transformers for deep learning tasks.Expert Systems with Applications, 241:122666, 2024

Reference 4

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:22:53.024284Z digest=sha256:10fdc24ff4daaa56934ff3012d7e43a94a7b91f6ab858dafd4fde27b722a715e

Observation 1e6aa4a1-d163-495e-8f7a-2333758de6f6 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

Rethinking the long-range dependency in Mamba/SSM and transformer models Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 5

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source=pdf_text observed=2026-08-05T10:22:53.030220Z digest=sha256:dc9b91c60762c016a8f1ee429137fa86d0b023a1f914bed2308d71616ae00fc5

Observation 954281e5-b7c4-47c9-97eb-d123bc9cabab · outbound

This paper cites Cross-lingual language model pretraining.Advances in neural information processing systems, 32, 2019.

Rethinking the long-range dependency in Mamba/SSM and transformer models Cross-lingual language model pretraining.Advances in neural information processing systems, 32, 2019

Reference 6

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source=pdf_text observed=2026-08-05T10:22:53.036362Z digest=sha256:9308dea3a4b7e697eb739f22bba5c9e70b59c79c61ef25216f4babef0b4a5e23

Observation d12a33ea-ae3f-40c9-840b-bbc17ea27089 · outbound

This paper cites Exploring the limits of transfer learning with a unified text-to-text transformer.

Rethinking the long-range dependency in Mamba/SSM and transformer models Exploring the limits of transfer learning with a unified text-to-text transformer

Reference 7

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source=pdf_text observed=2026-08-05T10:22:53.042611Z digest=sha256:eebeacb72862d528303f7aeca1b8057b5da1294fd2c41e400e9d701e73da9073

Observation 3bfd43a0-380d-431a-8bdb-53add4d18361 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Rethinking the long-range dependency in Mamba/SSM and transformer models An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 8

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source=pdf_text observed=2026-08-05T10:22:53.047431Z digest=sha256:fab935c84738a50d16d4633d36877b2aaabb0a3eb460e6ca3becbe7c40be0e88

Observation f2376dd7-dae6-4fe1-84f6-a2c5e23b9909 · outbound

This paper cites BEiT: BERT Pre-Training of Image Transformers.

Rethinking the long-range dependency in Mamba/SSM and transformer models BEiT: BERT Pre-Training of Image Transformers

Reference 9

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source=pdf_text observed=2026-08-05T10:22:53.053668Z digest=sha256:44621119e3009d01b960dd01add5a8c749f09808e9f734af70cecc45e927b17f

Observation 4ebcf4eb-f070-4f7f-988e-7ffc07b3016c · outbound

This paper cites Medical transformer: Gated axial-attention for medical image segmentation.

Rethinking the long-range dependency in Mamba/SSM and transformer models Medical transformer: Gated axial-attention for medical image segmentation

Reference 10

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source=pdf_text observed=2026-08-05T10:22:53.062147Z digest=sha256:b074421692ba62b7a3e1bddcdd54bd5c3e692427310cbd08bc839428ef6d3a61

Observation 41c855f2-7fd0-4f7a-a7ea-63048c0255e8 · outbound

This paper cites Ds-transunet: Dual swin transformer u-net for medical image segmentation.

Rethinking the long-range dependency in Mamba/SSM and transformer models Ds-transunet: Dual swin transformer u-net for medical image segmentation

Reference 11

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source=pdf_text observed=2026-08-05T10:22:53.067671Z digest=sha256:0d1c56bc85889f16b5601f8829fa2b578c8757d485f0b2821064d6c93c64b739

Observation 828e9487-c997-47a2-a48c-76e5cdf4cb7a · outbound

This paper cites Hierarchical Text-Conditional Image Generation with CLIP Latents.

Rethinking the long-range dependency in Mamba/SSM and transformer models Hierarchical Text-Conditional Image Generation with CLIP Latents

Reference 12

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source=pdf_text observed=2026-08-05T10:22:53.072372Z digest=sha256:124809e46a8f6f7cc0d55208e85b619c1576c0e3afc91a7a1d125a3809ef4235

Observation c0f36830-d956-438a-b138-f9c1e8512640 · outbound

This paper cites GIT: A Generative Image-to-text Transformer for Vision and Language.

Rethinking the long-range dependency in Mamba/SSM and transformer models GIT: A Generative Image-to-text Transformer for Vision and Language

Reference 13

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source=pdf_text observed=2026-08-05T10:22:53.077166Z digest=sha256:890e766b62e6f08e6fd37ca4739729855c0f565e7acec34e7dd2123aae753078

Observation e94452ce-1c27-4834-aeec-c84d7b174fcd · outbound

This paper cites Highly accurate protein structure prediction with alphafold.

Rethinking the long-range dependency in Mamba/SSM and transformer models Highly accurate protein structure prediction with alphafold

Reference 14

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source=pdf_text observed=2026-08-05T10:22:53.082217Z digest=sha256:a024faedd51782c7ca8b48f9b0443c89682dd3c97793345ac061f8a36676b847

Observation 6e91d3cd-81b0-40e1-817d-68ae4c20a20f · outbound

This paper cites scgpt: toward building a foundation model for single-cell multi-omics using generative ai.

Rethinking the long-range dependency in Mamba/SSM and transformer models scgpt: toward building a foundation model for single-cell multi-omics using generative ai

Reference 15

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source=pdf_text observed=2026-08-05T10:22:53.086766Z digest=sha256:e7fcbe53e152c800e46266ea26ab477de383922cd8e5d4e42743498043a11024

Observation 425b5aff-d2f4-438f-9e89-c6504f5d45f4 · outbound

This paper cites Generating Long Sequences with Sparse Transformers.

Rethinking the long-range dependency in Mamba/SSM and transformer models Generating Long Sequences with Sparse Transformers

Reference 16

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source=pdf_text observed=2026-08-05T10:22:53.091290Z digest=sha256:f7be5d51fff71cf3ac130d9861349bbd33e46ed5aa51d6509a4183756de76424

Observation 8a004de2-4b02-48d4-880b-f8536b8d2d87 · outbound

This paper cites Reformer: The Efficient Transformer.

Rethinking the long-range dependency in Mamba/SSM and transformer models Reformer: The Efficient Transformer

Reference 17

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source=pdf_text observed=2026-08-05T10:22:53.098837Z digest=sha256:90859b8ecc55bb53846461e576df7a4e269560f336848b4bda1c46be12fda8a4

Observation 517ba40c-6903-499e-93ec-99ec0b5c9533 · outbound

This paper cites Transformers are rnns: Fast autoregressive transformers with linear attention.

Rethinking the long-range dependency in Mamba/SSM and transformer models Transformers are rnns: Fast autoregressive transformers with linear attention

Reference 18

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source=pdf_text observed=2026-08-05T10:22:53.103200Z digest=sha256:63966d422a344147fc6306b74d273da359624432e818ea366bfdb7c95bef420f

Observation ddca5d65-a6e9-4b6a-a02d-4a8524b5bb44 · outbound

This paper cites GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpoints.

Rethinking the long-range dependency in Mamba/SSM and transformer models GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpoints

Reference 19

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source=pdf_text observed=2026-08-05T10:22:53.107714Z digest=sha256:c880a1c51a27241415e16bd740a09958ea578a49e2cf50c83a61c39d106ed05a

Observation 2c36757d-d827-4fc3-8474-1056f35b3897 · outbound

This paper cites Efficiently Modeling Long Sequences with Structured State Spaces.

Rethinking the long-range dependency in Mamba/SSM and transformer models Efficiently Modeling Long Sequences with Structured State Spaces

Reference 20

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source=pdf_text observed=2026-08-05T10:22:53.112341Z digest=sha256:ffa8ab7f0fc249c3ff8054513805876e4615feed02d44ff3f460a7b8b140c167

Observation 588f4e20-19de-4615-83be-c8599554d052 · outbound

This paper cites Simplified State Space Layers for Sequence Modeling.

Rethinking the long-range dependency in Mamba/SSM and transformer models Simplified State Space Layers for Sequence Modeling

Reference 21

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source=pdf_text observed=2026-08-05T10:22:53.116640Z digest=sha256:c744238b1f5e8e7cf22f5e1aad117fd971e8d75ee1ff2786aa4c2127712f6be7

Observation 860168a6-dc70-405b-9925-33da5bdc6249 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

Rethinking the long-range dependency in Mamba/SSM and transformer models Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 22

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source=pdf_text observed=2026-08-05T10:22:53.121155Z digest=sha256:bc14fe096cc0965a3d67f7358eb14d082a0f4c5a41ff3fd76e0ce34dbe96d7ed

Observation 3f6a580d-1524-4793-ad58-f617aeeb4ab8 · outbound

This paper cites Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality.

Rethinking the long-range dependency in Mamba/SSM and transformer models Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality

Reference 23

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source=pdf_text observed=2026-08-05T10:22:53.125368Z digest=sha256:4e0c5d323744c53ab3b336909ca2dbdf9c00db882b6fbfc5f7b81e5937dbd720

Observation f141c0c2-8426-448e-9028-6f72f964f9cc · outbound

This paper cites U-Mamba: Enhancing Long-range Dependency for Biomedical Image Segmentation.

Rethinking the long-range dependency in Mamba/SSM and transformer models U-Mamba: Enhancing Long-range Dependency for Biomedical Image Segmentation

Reference 24

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source=pdf_text observed=2026-08-05T10:22:53.129943Z digest=sha256:9e461bf428aa47f2618b721a01ebdec1bf2cdd3620fcb39aea126e8de14a4457

Observation 5c56ab32-8913-4388-afbb-4944724fcdbf · outbound

This paper cites VM-UNet: Vision Mamba UNet for Medical Image Segmentation.

Rethinking the long-range dependency in Mamba/SSM and transformer models VM-UNet: Vision Mamba UNet for Medical Image Segmentation

Reference 25

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source=pdf_text observed=2026-08-05T10:22:53.136110Z digest=sha256:3d46dc696f8bdf955f2b56c755981ff2dde163bf915c8c7f7e5ab13ce30f5ccf

Observation 473be9f9-dc3d-487b-bd2a-62ae57186db9 · outbound

This paper cites FD-Vision Mamba for Endoscopic Exposure Correction.

Rethinking the long-range dependency in Mamba/SSM and transformer models FD-Vision Mamba for Endoscopic Exposure Correction

Reference 26

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source=pdf_text observed=2026-08-05T10:22:53.148605Z digest=sha256:6d6623816b356e11d32f731f10b49a256fb5b34a0fb6a0b4165d3f84e0d31198

Observation 854a8695-7b94-48cc-b115-c4902f3c2787 · outbound

This paper cites Semi-Mamba-UNet: Pixel-Level Contrastive and Pixel-Level Cross-Supervised Visual Mamba-based UNet for Semi-Supervised Medical Image Segmentation.

Rethinking the long-range dependency in Mamba/SSM and transformer models Semi-Mamba-UNet: Pixel-Level Contrastive and Pixel-Level Cross-Supervised Visual Mamba-based UNet for Semi-Supervised Medical Image Segmentation

Reference 27

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source=pdf_text observed=2026-08-05T10:22:53.154068Z digest=sha256:19cbc71e683ef2bdcfe8c258dabb2f771a67a35876b45732912d84599dea0fe1

Observation 3441a622-b5c5-4aab-b824-f7efc87a4d65 · outbound

This paper cites MedMamba: Vision Mamba for Medical Image Classification.

Rethinking the long-range dependency in Mamba/SSM and transformer models MedMamba: Vision Mamba for Medical Image Classification

Reference 28

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source=pdf_text observed=2026-08-05T10:22:53.158694Z digest=sha256:3f1dd8bfd5201906770ae447471a01dd48c35efc5eb5000662dccd573d1794d0

Observation 36c3f459-74f3-47e3-901d-0abec78a595e · outbound

This paper cites ClinicalMamba: A Generative Clinical Language Model on Longitudinal Clinical Notes.

Rethinking the long-range dependency in Mamba/SSM and transformer models ClinicalMamba: A Generative Clinical Language Model on Longitudinal Clinical Notes

Reference 29

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source=pdf_text observed=2026-08-05T10:22:53.167399Z digest=sha256:ae6eba585240490ed4c9f96ebabe3aa4c00329d270d213f955728a417e89c33d

Observation 68246afc-0b28-4e0c-9235-ded80dcd6013 · outbound

This paper cites Hippo: Recurrent memory with optimal polynomial projections.

Rethinking the long-range dependency in Mamba/SSM and transformer models Hippo: Recurrent memory with optimal polynomial projections

Reference 30

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source=pdf_text observed=2026-08-05T10:22:53.178482Z digest=sha256:f0217598ac104a63f6d246de91f0180c1a6a6213568928e307487523a74df2af

Observation 89402e50-ca0e-44ae-ae9a-9e864dd8a10f · outbound

This paper cites Block-Biased Mamba for Long-Range Sequence Processing.

Rethinking the long-range dependency in Mamba/SSM and transformer models Block-Biased Mamba for Long-Range Sequence Processing

Reference 31

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source=pdf_text observed=2026-08-05T10:22:53.184571Z digest=sha256:81db2b696b7ef64c9bf9da2b9b96febea001fdc48d48264ca6b7e186be6b70c1

Observation b7806e44-e988-447d-acc3-a0eb3050dde2 · outbound

This paper cites ReMamba: Equip Mamba with Effective Long-Sequence Modeling.

Rethinking the long-range dependency in Mamba/SSM and transformer models ReMamba: Equip Mamba with Effective Long-Sequence Modeling

Reference 32

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source=pdf_text observed=2026-08-05T10:22:53.191008Z digest=sha256:6d553ec45733cd1bacdd3d384c06c4d9e9f8508b4985623d28773bf6d4336cd0

Observation a5222919-e5f0-425f-8cc8-48c1d35ea35b · outbound

This paper cites Spatial-mamba: Effective visual state space models via structure-aware state fusion.

Rethinking the long-range dependency in Mamba/SSM and transformer models Spatial-mamba: Effective visual state space models via structure-aware state fusion

Reference 33

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source=pdf_text observed=2026-08-05T10:22:53.195991Z digest=sha256:c92229724ded08c7a9b2089965bac450a3be09e081005b1d7bc6fb6c6fc2b279

Observation 59aca043-8364-49e4-b617-4a0e01b64324 · outbound

This paper cites SST: Multi-scale hybrid mamba-transformer experts for long-short range time series forecasting.

Rethinking the long-range dependency in Mamba/SSM and transformer models SST: Multi-scale hybrid mamba-transformer experts for long-short range time series forecasting

Reference 34

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source=pdf_text observed=2026-08-05T10:22:53.202263Z digest=sha256:dbed7989a4706503e2ab5d44680a5e2e420a858ad5944e07d130fdb18547e6ea

Observation 2dc073ca-68f0-446e-a616-006685b693c5 · outbound

This paper cites Efficient hybrid long sequence modeling with state space augmented transformers.

Rethinking the long-range dependency in Mamba/SSM and transformer models Efficient hybrid long sequence modeling with state space augmented transformers

Reference 35

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:22:53.207561Z digest=sha256:c330bf95c7e602dc971504a89f2016e928a2936e50917efd086cf30ed4cfd6c8

Observation 3224fc27-b6c5-462e-b7fb-c8cf3de641ec · outbound

This paper cites State-space models with layer-wise nonlinearity are universal approximators with exponential decaying memory.

Rethinking the long-range dependency in Mamba/SSM and transformer models State-space models with layer-wise nonlinearity are universal approximators with exponential decaying memory

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-05T10:22:54.108411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:22:53.212040Z digest=sha256:b8195038ef2c8456d206d50da81ce2dea9162c05cc108a63e009f9fc3ec380c1

Observation a9c9b961-ce64-4372-86fd-251d23dbfc9c · outbound

This paper cites Optimizing Deeper Transformers on Small Datasets.

Rethinking the long-range dependency in Mamba/SSM and transformer models Optimizing Deeper Transformers on Small Datasets

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-05T10:22:53.216437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:22:53.216437Z digest=sha256:13012316df0c0d0467c7545bd39aeb6824dca65f055e1f08aa4c8844ca6a1770

Observation 4e90bf99-6f83-484e-8bcd-9a6f7d40f551 · outbound

This paper cites Escaping the Big Data Paradigm with Compact Transformers.

Rethinking the long-range dependency in Mamba/SSM and transformer models Escaping the Big Data Paradigm with Compact Transformers

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-05T10:22:53.221304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:22:53.221304Z digest=sha256:1d3f9deaf16035dc03599b87c48c9c591dfcb385bb0b18d91890f5c665b36eb1

Observation 5055d1f2-ae73-4e64-a994-08493ee3d8c7 · outbound

This paper cites Never Train from Scratch: Fair Comparison of Long-Sequence Models Requires Data-Driven Priors.

Rethinking the long-range dependency in Mamba/SSM and transformer models Never Train from Scratch: Fair Comparison of Long-Sequence Models Requires Data-Driven Priors

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-05T10:22:53.226128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:22:53.226128Z digest=sha256:07efddf9459e0eb62fcda20bac049f4b49f5dc1bc3818af82a5bb7eba420f8ae

Observation 5e14ea7b-f1f4-4e54-8fc0-443d36e17c21 · outbound

This paper cites High-dimensional probability: An introduction with applications in data science , volume 47.

Rethinking the long-range dependency in Mamba/SSM and transformer models High-dimensional probability: An introduction with applications in data science , volume 47

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-05T10:22:53.231770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:22:53.231770Z digest=sha256:3ca252066773c077f6bab70cf2679d8f69b3922e51cf3d18d76fd39777e843c3

Observation bb00744f-0025-4465-8b22-7442eeef32d5 · outbound

This paper cites Wainwright.

Rethinking the long-range dependency in Mamba/SSM and transformer models Wainwright

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:22:54.065277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:22:53.238293Z digest=sha256:07ebca3dc0165c4be81b80ff8bc94738467c58cf74d1b851a167aab909b47714

Pith citing papers

Observation c3926c96-d0b5-431f-aba3-c9f0236aa066 · inbound

HST-HGN: Heterogeneous Spatial-Temporal Hypergraph Networks with Bidirectional State Space Models for Global Fatigue Assessment cites this paper.

HST-HGN: Heterogeneous Spatial-Temporal Hypergraph Networks with Bidirectional State Space Models for Global Fatigue Assessment Rethinking the long-range dependency in Mamba/SSM and transformer models

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:05:59.436362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-10T17:19:23.588889Z digest=sha256:4d2624ff19b20eae2ba87d89bd537f7933b2375982e6881a6e6f1e85adf1d3ab

Observation 9329dda2-7102-41d9-9565-a45b12a75245 · inbound

HST-HGN: Heterogeneous Spatial-Temporal Hypergraph Networks with Bidirectional State Space Models for Global Fatigue Assessment cites this paper.

HST-HGN: Heterogeneous Spatial-Temporal Hypergraph Networks with Bidirectional State Space Models for Global Fatigue Assessment Rethinking the long-range dependency in Mamba/SSM and transformer models

Reference 28

Resolution
unresolved
no resolver link, observed 2026-07-12T23:54:12.337711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T23:54:12.337711Z digest=sha256:fb04c26fcd5a7ee81246298fdc2a5acfd3ab962a7613b22ffb8e2b1744715e03