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Paper Citation Record · LEDGER

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling

As of 18 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2505.13870.

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

pith.paper-citation-record.v1
2505.13870 v3

Coverage vector

measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T20:14:04.575855Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

53 of 53 outbound references displayed

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  • verified fuzzy18
  • unresolved17
  • parse uncertain0
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External citation measurements

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Outbound references

Observation cda1c8b3-ff7e-4bcf-a79e-92b66dae1e16 · outbound

This paper cites With the advancement of technology, the infrastructure supporting high -precision technologies demands stringent control over vibrations.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling With the advancement of technology, the infrastructure supporting high -precision technologies demands stringent control over vibrations

Reference 1

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Observation d53af7da-1ad4-4479-a5c4-7c6a73303b5a · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 2

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Observation 6773aee7-9b34-4cb9-8ed4-eeae59a2818d · outbound

This paper cites Using the proposed method, an attenuation formula with high accuracy and strong interpretability was derived from the experimental data.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Using the proposed method, an attenuation formula with high accuracy and strong interpretability was derived from the experimental data

Reference 3

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Observation d33bdc99-95d5-4027-a01c-30cae58015c6 · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 4

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Observation fb061b34-d180-49a9-882f-2a765a332943 · outbound

This paper cites The organization of the remaining sections of the paper is as follows.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling The organization of the remaining sections of the paper is as follows

Reference 5

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Observation 498dde90-128f-4e7b-973c-ff240a2bd882 · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 6

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Observation 68f6e9c0-df92-4e8b-bb33-1468f4b241b7 · outbound

This paper cites Field test on HEPS The High Energy Photon Source (HEPS), as shown in Fig.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Field test on HEPS The High Energy Photon Source (HEPS), as shown in Fig

Reference 7

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Observation 3bb8b3f2-4c6b-4cad-b551-0d1a6a804a2b · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 8

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Observation 093fdaa5-b46e-46e2-8454-81589115af09 · outbound

This paper cites The method is validated through surface vibration measurements conducted at the HEPS in Beijing.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling The method is validated through surface vibration measurements conducted at the HEPS in Beijing

Reference 9

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Observation b227782f-f538-4533-8a6a-409ed4aef755 · outbound

This paper cites This approach enables the efficient and rapid derivation of propagation and attenuation formulas based on the Bornitz model.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling This approach enables the efficient and rapid derivation of propagation and attenuation formulas based on the Bornitz model

Reference 10

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Observation 8fb1148f-656a-41d1-b588-59ccc2c5d05a · outbound

This paper cites The results lay a solid foundation fo r evaluating vibration impacts on precision instruments.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling The results lay a solid foundation fo r evaluating vibration impacts on precision instruments

Reference 11

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Observation d6b631db-0789-47e3-a8b6-486f53ca0063 · outbound

This paper cites The validity of the formula's structure was justified through theoretical analysis and numerical modeling.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling The validity of the formula's structure was justified through theoretical analysis and numerical modeling

Reference 12

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Observation 094a6ef1-96d5-40da-9f5f-f020a1feca76 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Observation 5ab4d062-eb5a-4b26-9d65-5a80f5232789 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Observation aab996ad-033d-491a-8cb2-066e41a9cbfe · outbound

This paper cites of 12375150.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling of 12375150

Reference 15

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Observation 7f240dbf-6621-4e80-8435-937375cc3150 · outbound

This paper cites Jin, D.J.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Jin, D.J

Reference 16

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Observation 0c496f4a-115e-45f3-8b2d-cba0b1cbe033 · outbound

This paper cites Zhang, S.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Zhang, S

Reference 17

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Observation f23a4719-a6f6-46eb-88b9-6d6e5a7481e7 · outbound

This paper cites Zhang, M.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Zhang, M

Reference 18

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Observation 7f60d8dd-3a1d-458e-ad20-4435f4ca5e39 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Observation f5b72fff-70c9-4cec-85db-cba8d4a077a2 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Observation 5eed845a-017c-4451-a8d7-e09e5bfa69b0 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 21

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Observation 18f863e3-b9ca-450d-8e17-f37f7976f047 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Observation f3a10684-6ae5-4905-b387-ffe2436a8f51 · outbound

This paper cites Xia, Y .M.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Xia, Y .M

Reference 23

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Observation 511f3cc5-5390-4d54-991d-3d4fc042a538 · outbound

This paper cites Herbut, A study of the reduction of ground vibrations by an active generator, Soil Dynamics and Earthquake Engineering 88 (2016) 328–344.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Herbut, A study of the reduction of ground vibrations by an active generator, Soil Dynamics and Earthquake Engineering 88 (2016) 328–344

Reference 24

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 25

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Observation 048c9ab4-106e-474c-a5a1-2be9164563ec · outbound

This paper cites Yang, L.T.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Yang, L.T

Reference 26

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Observation cf88e8c8-5407-44bf-a015-e6b1212e28ab · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

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Observation 828ddf77-7ffb-4992-8282-fa7bd366508f · outbound

This paper cites Zarei, J.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Zarei, J

Reference 29

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 30

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Observation 581f1601-4e42-4085-9225-e9d0467a9027 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 31

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Observation 27ed99da-5535-4da7-bbdf-549d3a0994eb · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 32

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Observation 91c14fa0-8de1-4f15-9d66-4d0449893153 · outbound

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 33

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Observation 9ba2f2ac-c874-4461-a2fe-467f3ca63bcd · outbound

This paper cites Monjezi, M.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Monjezi, M

Reference 34

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Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 35

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Observation 5e3f4b09-8e33-4f5e-880c-23c970bdfff2 · outbound

This paper cites Verma, T.N.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Verma, T.N

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.513046Z digest=sha256:23546a63c3aaf817bbd1e4aac4b261a76036d3431bb20c0a9a7151f3e471074f

Observation bd40358c-e0ea-4642-95fb-cb4f6b55dafd · outbound

This paper cites Bornitz, Über die Ausbreitung der von Großkolbenmaschinen erzeugten Bodenschwingungen in die Tiefe, Springer-Verlag, 2013.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Bornitz, Über die Ausbreitung der von Großkolbenmaschinen erzeugten Bodenschwingungen in die Tiefe, Springer-Verlag, 2013

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:06.050098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.516582Z digest=sha256:7c93e0d199761c0131d5e4640bd3fc6204009fad89803e5eda24422d65ef2679

Observation 6cc8145c-c816-4a80-9cf6-3c641514aaaf · outbound

This paper cites Kim, J.-S.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Kim, J.-S

Reference 38

Resolution
verified exact
doi, observed 2026-08-15T20:14:04.663804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.519875Z digest=sha256:e6110ae2a20285a495242b24fbaef74fcc3248d873596f4988c95f1241d7baaa

Observation 2202e7f4-0c89-4ca8-98d7-3069f6046f1a · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 39

Resolution
verified exact
doi, observed 2026-08-15T20:14:04.653019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.524071Z digest=sha256:48a8ce87f37822548c1266adc9e87dddf6b3f98e6a3d19e30ba37e4780286462

Observation 2e5dc7c9-ac67-4f76-b4c2-dc7d7371820d · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 40

Resolution
metadata mismatch
raw_fallback, observed 2026-08-15T20:14:04.807388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.527741Z digest=sha256:c97c2cf50c51430da912a32e11a10f9999725adb4c429683c6a19525a8193126

Observation 8b8b582d-c98d-4fc4-9e01-099d898cf9a0 · outbound

This paper cites Petersen, M.L.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Petersen, M.L

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:06.039903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.531306Z digest=sha256:bc7eaa790ea9aaf91cf350377c8f137ad40309e8bc59a0f687aff4ac7557f731

Observation c6439512-339a-49ca-a677-cde8d691e438 · outbound

This paper cites SymFormer: End-to-end symbolic regression using transformer-based architecture.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling SymFormer: End-to-end symbolic regression using transformer-based architecture

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T20:14:04.534643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:14:04.534643Z digest=sha256:6ef2bf122118f7fe262497de7f348ccceda50af2b96891d04d1bf172e42be6b6

Observation 7359d6bf-f1e6-48d9-970a-0c8d44dfb899 · outbound

This paper cites Tenachi, R.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Tenachi, R

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-15T20:14:04.538707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:14:04.538707Z digest=sha256:59a398387b4d93fb661451c00dce8b5e44b08ccefe82e1b4973cb8ca0568f5aa

Observation 820155ad-85d4-4062-8497-40066a82639e · outbound

This paper cites Hochreiter, J.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Hochreiter, J

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T20:14:04.542604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:14:04.542604Z digest=sha256:d4fe934d3810e2fc4f134a4169a51441e63e9d3f80e1167ceaabfff7d594eaf5

Observation 47fa8cf3-715d-4726-86cd-d33949a3850b · outbound

This paper cites Vaswani, N.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Vaswani, N

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:06.030400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.546280Z digest=sha256:c88f1456039b3008c1dcbc53714b0163d8669fb17a88ebf8da43809eb069bc35

Observation 1771e512-1689-4d95-ad1b-cbcdaf8786b9 · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 46

Resolution
verified exact
doi, observed 2026-08-15T20:14:04.620846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.550858Z digest=sha256:b1b6ce9b8093d4965ade2ca344f9364eb7a9bb258d089f8fd4ff6c48beb55e4b

Observation fc231f75-8fb0-4e75-b0ca-fe4bc63a800d · outbound

This paper cites an unresolved cited work.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Unresolved cited work

Reference 47

Resolution
verified exact
doi, observed 2026-08-15T20:14:04.609229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.554519Z digest=sha256:956b5e299540bbe61a89c129ca5f5f55d7ae2d9c7b64ba28851f52a404559736

Observation 702ad2d5-9247-40bf-8ed9-10999a82ba56 · outbound

This paper cites https://www.smartsolo.com.cn/xl-IGU.html (accessed May 1, 2025).

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling https://www.smartsolo.com.cn/xl-IGU.html (accessed May 1, 2025)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:06.020301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.557939Z digest=sha256:da73caa8b9bba55a80d2dcf25bca4ff8a1a7e5dc5c5c294cdf8aa0550699757a

Observation 5e4cfc6d-c407-4e05-b607-19c1d5b55560 · outbound

This paper cites Amirikas, A.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Amirikas, A

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:06.007087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.561230Z digest=sha256:3134d9b38727e800dda6e1601700011f4a68890e6b3ececfe542653213d60b73

Observation 16ad7138-894e-4c2f-97e2-d02503c0e4d4 · outbound

This paper cites https://www.donglingtech.com/ (accessed May 1, 2025).

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling https://www.donglingtech.com/ (accessed May 1, 2025)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:05.996433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.565030Z digest=sha256:3090f1964cbd14279717974483d5b771dc463683d7a3df038bcfcdd688a23210

Observation 1903c8b7-46c6-4864-b051-d95035ba6ecd · outbound

This paper cites Yang, Attenuation of Ground Vibrat ion Induced by Dynamical Machinery, in: 1981.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Yang, Attenuation of Ground Vibrat ion Induced by Dynamical Machinery, in: 1981

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:05.985824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.568556Z digest=sha256:11863c23f1d4037b47803a456495a9ec0bcb53fcc379f2196a2ebf8af8e6c893

Observation 207a3324-58f2-4715-b6b9-0d85b9df9191 · outbound

This paper cites Yang, Evaluation of Man -Made Ground Vibration s, in: 1995.

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling Yang, Evaluation of Man -Made Ground Vibration s, in: 1995

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:05.974210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.572639Z digest=sha256:a3064fd3232aa7cada9748d5894fe05630c86a080095ed520e51f076c0e68232

Observation e29b189d-d7ec-4a2f-bb13-4cc3590b8367 · outbound

This paper cites https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html (accessed March 13, 2025).

Formula-Guided Machine Learning for Ground Vibration Propagation and Attenuation Modeling https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html (accessed March 13, 2025)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:14:05.963743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T20:14:04.575855Z digest=sha256:fc76df71e301db6fdcd9885ec79bb35b9f3f0ce61f528c96a6d37fe9b04155de

Pith citing papers

No inbound Pith citation observations are available.