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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields

As of 8 August 2026, this Paper Citation Record lists 100 of 119 outbound references and 0 inbound Pith citation observations for arXiv:2603.15786.

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2603.15786 v2

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Outbound references

Observation e80f5309-6f03-498a-956f-22fd972a936d · outbound

This paper cites an unresolved cited work.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 1

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Observation 2ff3d5cd-4345-43f3-a873-163c80bb35bd · outbound

This paper cites Time- reflection symmetry relates ionization and recolli- sion events occurring before and after the reference time.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Time- reflection symmetry relates ionization and recolli- sion events occurring before and after the reference time

Reference 2

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Observation 848c6e7e-4aea-4778-aa5a-b0c75dcc2832 · outbound

This paper cites In the dipole approximation and for inversion-symmetric targets, this operator corresponds to a reflection about the time-axis.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields In the dipole approximation and for inversion-symmetric targets, this operator corresponds to a reflection about the time-axis

Reference 3

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This paper cites Note that while ˆRθ is a generic rotation operator, ro- tational symmetry only exists for specific angles θ=θ n.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Note that while ˆRθ is a generic rotation operator, ro- tational symmetry only exists for specific angles θ=θ n

Reference 4

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Observation e1ea4476-2993-4040-83d5-933624d3ffaf · outbound

This paper cites These fields take the form, E(t) =E 0 sin(ωt)ˆ ex.(9) whereE 0 is the field amplitude,ωis the frequency andˆ ex denotes the polarization direction.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields These fields take the form, E(t) =E 0 sin(ωt)ˆ ex.(9) whereE 0 is the field amplitude,ωis the frequency andˆ ex denotes the polarization direction

Reference 5

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Observation 19345bee-1031-411d-96b1-1ce35378360b · outbound

This paper cites Symmetries can be pre- served or broken by tuningϕand changing the temporal structure of the field.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Symmetries can be pre- served or broken by tuningϕand changing the temporal structure of the field

Reference 6

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This paper cites Here, we use the convention in [30], which setsϕ=ϕ 1 −ϕ 0, withϕ 0 = 60 ◦.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Here, we use the convention in [30], which setsϕ=ϕ 1 −ϕ 0, withϕ 0 = 60 ◦

Reference 7

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 8

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Observation 3ee635d5-b3f8-4cbc-a573-cb91a5a1620f · outbound

This paper cites Con- sequently, these saddle point solutions and distributions are mainly affected by the events taken into account.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Con- sequently, these saddle point solutions and distributions are mainly affected by the events taken into account

Reference 9

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Observation fac3ae42-34d1-4c2e-a490-2e0ce53d4c8c · outbound

This paper cites 7(a)-(d) shows the imaginary part of the ioniza- tion time computed with the PINN solver for the bichro- matic fields shown in Fig.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields 7(a)-(d) shows the imaginary part of the ioniza- tion time computed with the PINN solver for the bichro- matic fields shown in Fig

Reference 10

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation b4339d32-d992-4819-9d9a-02679f0d69e8 · outbound

This paper cites Path Integrals in Quantum Physics.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Path Integrals in Quantum Physics

Reference 12

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Misumi and C

Reference 14

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This paper cites Andreassen, D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Andreassen, D

Reference 15

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This paper cites Elder, K.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Elder, K

Reference 16

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Altland and B

Reference 17

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation be8dc9b5-f0fd-4cfa-9ae9-d362e1fe5dc6 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Sali` eres, B

Reference 19

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Smirnova, A

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Torlina, M

Reference 21

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This paper cites Accurate retrieval of structural information from laser-induced photoelectron and high-harmonic spectra by few-cycle laser pulses.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Accurate retrieval of structural information from laser-induced photoelectron and high-harmonic spectra by few-cycle laser pulses

Reference 22

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Cavaliere, G

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Influence of the Coulomb potential on above-threshold ionization: a quantum-orbit analysis beyond the strong-field approximation

Reference 27

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Coulomb-corrected quantum interference in above-threshold ionization: Working towards multi-trajectory electron holography

Reference 28

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Huang, M

Reference 31

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Zhang, X

Reference 33

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 93e49e52-e32f-47c4-8461-bf33274f1e80 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 2686ae75-d4ea-4936-b190-dd71f2e1372e · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Hashim, R

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Observation 456c12a0-c354-48db-b4a8-317d81563afe · outbound

This paper cites Hashim, D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Hashim, D

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Observation 4c6793be-dbf3-4ccc-9300-30d3cbeb6a1c · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Below threshold nonsequential double ionization with linearly polarized two-color fields II: Quantum interference

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Observation a53ca2cd-ee62-47ee-81cd-5439410c6f88 · outbound

This paper cites Hashim, D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Hashim, D

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Observation 7e5517d5-f636-42f3-a807-b89e3cfb7721 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 99fcdffe-7eb7-4075-830d-45505a2104de · outbound

This paper cites Amini, J.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Amini, J

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Observation aabc761f-629f-490f-a00e-f3e6816b36a6 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Keldysh, Ionization in the field of a strong electromagnetic wave, Sov

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Observation 379f7938-9096-4085-8370-e02ccd8906b4 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation f712384e-a3dd-418f-a725-741d846d829e · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 19214e89-1627-4642-a916-028ae8052ad9 · outbound

This paper cites Liu and L.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Liu and L

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Observation e201db76-4156-4d74-88e7-cf5e0beea631 · outbound

This paper cites Nataf and P.-H.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Nataf and P.-H

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Observation fd5436cf-b08d-4be2-bc63-0099814229ad · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation ca74c016-4a9b-4faa-b4dc-910307da7104 · outbound

This paper cites Weber, J.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Weber, J

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Observation 5535f1e6-45b6-456c-b078-7f8a71df622a · outbound

This paper cites Nocedal and S.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Nocedal and S

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Observation 06442065-8e46-4c1d-a9a6-24458250bc4d · outbound

This paper cites Murray, Newton-type methods, inWiley Encyclopedia of Operations Research and Management Science(Wiley, Hoboken, NJ, USA, 2011).

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Murray, Newton-type methods, inWiley Encyclopedia of Operations Research and Management Science(Wiley, Hoboken, NJ, USA, 2011)

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Observation ad3b8ab8-4e41-47f0-aedb-ffb18b9206e3 · outbound

This paper cites Figueira de Morisson Faria, H.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Figueira de Morisson Faria, H

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Observation a3142099-8120-42fe-bd07-e79b2c8ba316 · outbound

This paper cites Habibovi´ c, W.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Habibovi´ c, W

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Observation a9f23895-eb80-4536-ae01-b85b468f440d · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 96820237-4cac-48cf-906f-1704c4a49460 · outbound

This paper cites Koch and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Koch and D

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Observation 1d9dbc66-7987-48a8-948b-97a6d43f0f25 · outbound

This paper cites Koch and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Koch and D

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Observation 68b08274-fd85-4310-b6ba-f1df2e60cae1 · outbound

This paper cites Shaaran, C.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Shaaran, C

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Observation 67c96945-ebfc-4056-876e-f891372be0b0 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 53738ef6-25a2-43bb-b990-e8982cd4a42d · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 5968a022-8563-40f9-b4eb-f9230d67470c · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 3f5d227c-4b43-4631-a9a0-d9f1139cd9cc · outbound

This paper cites Yan and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Yan and D

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Observation e701418c-fa40-482c-ba76-f867da441bdb · outbound

This paper cites Cruz Rodriguez, T.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Cruz Rodriguez, T

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Observation a0c9dcf8-1bb3-499d-a41a-fda3237d2cd8 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation e3d32ff4-b28c-430c-a28a-07e582548a93 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 67

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Observation a8fa0e77-533e-47cc-b2dd-e70af172b8d0 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 9cd01d05-a23d-4b3a-af4e-15732a3dea5b · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation aeeae61c-2f2b-4162-9c20-f577889882ac · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation d908ed83-6d1c-4edb-9948-83a225c42d85 · outbound

This paper cites Rivera-Dean, P.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Rivera-Dean, P

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Observation ea6ec2ad-0fbe-4856-8939-1e89df655f8c · outbound

This paper cites Stammer, J.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Stammer, J

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Observation 35fe5b7e-9b19-47e1-897d-8cf8e22a6f2b · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation af1ea793-07fb-4f9d-85f2-57f2a1d50eb1 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation 68c3e7c7-75a6-47da-9af6-e683b1e9a05b · outbound

This paper cites Habibovi´ c and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Habibovi´ c and D

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Observation cc69ad23-abba-41bc-aa5c-2fbe52ba4ccc · outbound

This paper cites Habibovi´ c, W.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Habibovi´ c, W

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Observation 221d90b4-a3d4-4582-a27b-9e890dfd0fd7 · outbound

This paper cites Habibovi´ c and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Habibovi´ c and D

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Observation 3768f8a6-344e-4fbf-9c1b-5438ba9080f9 · outbound

This paper cites Caron, P.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Caron, P

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Observation 61c8d519-f7d3-4a38-80e9-50747a87f33f · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

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Observation d32b9f14-b465-4355-a5be-c1a99d2800c5 · outbound

This paper cites Cho and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Cho and D

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Observation 98d38404-dda8-45f2-a0c2-2fd68d9d497a · outbound

This paper cites Hajivassiliou, M.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Hajivassiliou, M

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Observation edccd767-ba4c-4dcf-8a63-5313ccbb0155 · outbound

This paper cites Hirschman, B.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Hirschman, B

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Observation 940aebd2-b4ba-4adc-99c8-38c6d36cff1c · outbound

This paper cites Chomet, S.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Chomet, S

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 84

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 85

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 86

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 87

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Observation 48b18f1f-61c1-4723-88cb-b5bb13fb4416 · outbound

This paper cites Raissi, P.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Raissi, P

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Observation b508c21f-b2da-42d8-b82a-a33ab4baa5ec · outbound

This paper cites an unresolved cited work.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 89

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Observation 955c890a-7f25-4d06-9262-4bc4b01e6fbe · outbound

This paper cites Ehlotzky, Atomic phenomena in bichromatic laser fields, Physics Reports345, 175 (2001).

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Ehlotzky, Atomic phenomena in bichromatic laser fields, Physics Reports345, 175 (2001)

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Observation aa01b480-fbe3-45d0-960d-4f3c7a9d7a8d · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 91

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Observation 8e7d30bb-1c0b-4a7b-855b-209978b95241 · outbound

This paper cites Bashkansky, P.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Bashkansky, P

Reference 92

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Observation 288ca60e-a939-4932-a6b5-66b8180552f3 · outbound

This paper cites Becker and D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Becker and D

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Observation 41db46e9-ad93-45b2-b255-dfd0f88675f2 · outbound

This paper cites Busuladˇ zi´ c, A.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Busuladˇ zi´ c, A

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Observation 825b585c-834d-4e90-855f-d71d84bc3cde · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 95

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Observation 60ae85a9-a81a-4cd2-b688-36592da7a881 · outbound

This paper cites Neufeld, D.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Neufeld, D

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Observation a4d57de8-59d9-4c00-ba5b-6affe276ba4c · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 97

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Observation 8b0252ab-3257-46c4-bc6c-e0e3671edaf4 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 98

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Observation 46508a73-6171-4d34-8551-a4ce836bd105 · outbound

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Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 99

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Observation 6d045f9f-b9ea-49e8-9f62-d2f052a234f2 · outbound

This paper cites an unresolved cited work.

Physics-informed neural networks for solving saddle-point equations in strong-field physics with tailored fields Unresolved cited work

Reference 100

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