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Paper Citation Record · LEDGER

Solving Functional Renormalization Group Equations with Neural Networks

As of 15 August 2026, this Paper Citation Record lists 83 of 83 outbound references and 1 inbound Pith citation observation for arXiv:2603.21151.

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pith.paper-citation-record.v1
2603.21151 v2

Coverage vector

measured 83 of 83 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Outbound references

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This paper cites We find that the training results are largely insensitive to the choice of learning rate within a reason- able range.

Solving Functional Renormalization Group Equations with Neural Networks We find that the training results are largely insensitive to the choice of learning rate within a reason- able range

Reference 1

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This paper cites 4 presents the field derivative of the rescaled effective potential ˆV ′ k(ˆρ) for theO(4) model atT= 100 MeV, which lies below the critical temperatureT c ≈ 150 MeV.

Solving Functional Renormalization Group Equations with Neural Networks 4 presents the field derivative of the rescaled effective potential ˆV ′ k(ˆρ) for theO(4) model atT= 100 MeV, which lies below the critical temperatureT c ≈ 150 MeV

Reference 2

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 3

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 4

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 5

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 6

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 7

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Solving Functional Renormalization Group Equations with Neural Networks (A2), is a differential algebraic equa- tion of index 1

Reference 8

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This paper cites Wetterich, Exact evolution equation for the effective potential, Phys.

Solving Functional Renormalization Group Equations with Neural Networks Wetterich, Exact evolution equation for the effective potential, Phys

Reference 9

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

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Solving Functional Renormalization Group Equations with Neural Networks Berges, N

Reference 14

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Solving Functional Renormalization Group Equations with Neural Networks Canet and H

Reference 15

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Solving Functional Renormalization Group Equations with Neural Networks General framework of the non-perturbative renormalization group for non-equilibrium steady states

Reference 16

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Solving Functional Renormalization Group Equations with Neural Networks Dynamic universality class of Model C from the functional renormalization group

Reference 17

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Solving Functional Renormalization Group Equations with Neural Networks Time-evolution of fluctuations as signal of the phase transition dynamics in a QCD-assisted transport approach

Reference 18

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Solving Functional Renormalization Group Equations with Neural Networks Critical dynamics in a real-time formulation of the functional renormalization group

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Solving Functional Renormalization Group Equations with Neural Networks Universality of pseudo-Goldstone damping near critical points

Reference 20

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Solving Functional Renormalization Group Equations with Neural Networks Critical dynamics of Model H within the real-time fRG approach

Reference 21

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Solving Functional Renormalization Group Equations with Neural Networks Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group

Reference 22

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Solving Functional Renormalization Group Equations with Neural Networks Universal critical dynamics near the chiral phase transition and the QCD critical point

Reference 23

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Solving Functional Renormalization Group Equations with Neural Networks From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD

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Solving Functional Renormalization Group Equations with Neural Networks Chiral symmetry breaking in continuum QCD

Reference 25

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Solving Functional Renormalization Group Equations with Neural Networks The Vacuum Structure of Vector Mesons in QCD

Reference 26

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Solving Functional Renormalization Group Equations with Neural Networks Landau gauge Yang-Mills correlation functions

Reference 27

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Solving Functional Renormalization Group Equations with Neural Networks Non-perturbative finite-temperature Yang-Mills theory

Reference 28

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Solving Functional Renormalization Group Equations with Neural Networks Non-perturbative quark, gluon and meson correlators of unquenched QCD

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Solving Functional Renormalization Group Equations with Neural Networks The QCD phase structure at finite temperature and density

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Solving Functional Renormalization Group Equations with Neural Networks Chiral Susceptibility in (2+1)-flavour QCD

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Solving Functional Renormalization Group Equations with Neural Networks Towards quantitative precision in functional QCD I

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Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

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Solving Functional Renormalization Group Equations with Neural Networks Fermion Interactions and Universal Behavior in Strongly Interacting Theories

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Solving Functional Renormalization Group Equations with Neural Networks The nonperturbative functional renormalization group and its applications

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Solving Functional Renormalization Group Equations with Neural Networks QCD at finite temperature and density within the fRG approach: An overview

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Solving Functional Renormalization Group Equations with Neural Networks Machine Learning in Nuclear Physics

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Solving Functional Renormalization Group Equations with Neural Networks Exploring QCD matter in extreme conditions with Machine Learning

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Observation f44428a9-0f95-4611-9c32-b97001f489db · outbound

This paper cites Physics-Driven Learning for Inverse Problems in Quantum Chromodynamics.

Solving Functional Renormalization Group Equations with Neural Networks Physics-Driven Learning for Inverse Problems in Quantum Chromodynamics

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source=pdf_text observed=2026-08-02T17:48:26.295632Z digest=sha256:3894ae16c6725292bdb83517f15f00cbca1cb3c1d6b184b5b682d9de7056f4f2

Observation a08f22c7-bcb5-4b1f-80f7-9ee849294518 · outbound

This paper cites Applications of Machine Learning to Lattice Quantum Field Theory.

Solving Functional Renormalization Group Equations with Neural Networks Applications of Machine Learning to Lattice Quantum Field Theory

Reference 42

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source=pdf_text observed=2026-08-02T17:48:26.444526Z digest=sha256:6c7efebabd1f65f9d5b489bd9d0cc5549421e7a0e39f53b3e0010b530712b1c9

Observation 325230c5-2261-40cb-8e95-289b05944ac5 · outbound

This paper cites Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics.

Solving Functional Renormalization Group Equations with Neural Networks Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics

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source=pdf_text observed=2026-08-02T17:48:26.571922Z digest=sha256:7166337815c5624f8cf0cdbfe5911dadbb875aa9a865d3a5c3d8e8ff3a08cddd

Observation a88d3111-5287-4088-945c-51321d469080 · outbound

This paper cites Diffusion Models as Stochastic Quantization in Lattice Field Theory.

Solving Functional Renormalization Group Equations with Neural Networks Diffusion Models as Stochastic Quantization in Lattice Field Theory

Reference 44

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source=pdf_text observed=2026-08-02T17:48:26.621702Z digest=sha256:02c795f36efd86377010b2c26172dccdc717a1e20dcc9f4bf6df0121ec6d4661

Observation ec04b4fa-7734-4dfc-9230-909d42805b9c · outbound

This paper cites Generative Diffusion Models for Lattice Field Theory.

Solving Functional Renormalization Group Equations with Neural Networks Generative Diffusion Models for Lattice Field Theory

Reference 45

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source=pdf_text observed=2026-08-02T17:48:26.669330Z digest=sha256:edc1d66717eec909df800f26e27c38078b0334ffabb905ccd807d59565c8aa85

Observation cae84b11-cefc-46ed-92ea-49135756fc7d · outbound

This paper cites Diffusion models for lattice gauge field simulations.

Solving Functional Renormalization Group Equations with Neural Networks Diffusion models for lattice gauge field simulations

Reference 46

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source=pdf_text observed=2026-08-02T17:48:26.777194Z digest=sha256:0a3b990de081b7c42ce44e854b99aff44fb9d05ce5f39fb7373676ac6ed4207c

Observation 91d377fd-f05a-4024-9cbf-22a51587626a · outbound

This paper cites an unresolved cited work.

Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 47

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source=pdf_text observed=2026-08-02T17:48:26.862052Z digest=sha256:5634cbc4248da2b9b11c18ecc7ed63e9159c988010102e840b3fccd7ed45a794

Observation 62783d91-d8a7-4fe2-8307-d69482d26a38 · outbound

This paper cites Aarts, D.

Solving Functional Renormalization Group Equations with Neural Networks Aarts, D

Reference 48

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source=pdf_text observed=2026-08-02T17:48:26.994023Z digest=sha256:309f137431f1bf20e6ee3c6165b115b2d8659de4fd0b59bdbfebc9e202c2eba3

Observation 452b4449-8a0e-4fd2-8490-3ca910acc514 · outbound

This paper cites Raissi, P.

Solving Functional Renormalization Group Equations with Neural Networks Raissi, P

Reference 49

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source=pdf_text observed=2026-08-02T17:48:27.135582Z digest=sha256:a08a9cd6f1b826cabb14f221c0f21a557a15cb6d2e3c6570ffe96b978d34a68d

Observation 1051b436-6521-4c17-94dd-2fa7baa890be · outbound

This paper cites an unresolved cited work.

Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-02T17:48:27.319765Z digest=sha256:3b083e852e94cfe3aa77f173add1cc1e1017c44c7207a02426ebfcb0d40069c3

Observation 4a9e97bc-4891-4a79-9805-13d4bd4dd22c · outbound

This paper cites Physics-informed neural networks for solving functional renormalization group on a lattice.

Solving Functional Renormalization Group Equations with Neural Networks Physics-informed neural networks for solving functional renormalization group on a lattice

Reference 51

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source=pdf_text observed=2026-08-02T17:48:27.481996Z digest=sha256:4700724a14e20bdbc13de1bfb24b16703a0b8c5a230ec6e3a9e7833153fc81b6

Observation 7f03908e-0b7d-4701-8ba2-8abdac9cad40 · outbound

This paper cites Physics-informed Neural Networks for Functional Differential Equations: Cylindrical Approximation and Its Convergence Guarantees.

Solving Functional Renormalization Group Equations with Neural Networks Physics-informed Neural Networks for Functional Differential Equations: Cylindrical Approximation and Its Convergence Guarantees

Reference 52

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source=pdf_text observed=2026-08-02T17:48:27.574309Z digest=sha256:8599a39ae381076fb11c8e863cc4631c89be509e105ffed9c8bfe3832f117c4c

Observation e6b6fe95-eef8-4305-87cb-bae7300f8849 · outbound

This paper cites Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics.

Solving Functional Renormalization Group Equations with Neural Networks Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics

Reference 53

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source=pdf_text observed=2026-08-02T17:48:27.715562Z digest=sha256:9fae85ce5767761631e8fca3b69b77735392ce437f424b64021797812ae7e450

Observation c261d2fc-e45c-42c1-9bdc-3932dc8f2718 · outbound

This paper cites Spectral functions in Minkowski quantum electrodynamics from neural reconstruction.

Solving Functional Renormalization Group Equations with Neural Networks Spectral functions in Minkowski quantum electrodynamics from neural reconstruction

Reference 54

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source=pdf_text observed=2026-08-02T17:48:27.870358Z digest=sha256:f8835d97a8ca760fd0dd4562d2fc2b546930ad2f0e3ff08537d7b6d9b87cbbcb

Observation 50ee5e39-04a1-4144-b7ae-86f67e195499 · outbound

This paper cites an unresolved cited work.

Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 55

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source=pdf_text observed=2026-08-02T17:48:27.983376Z digest=sha256:9b906b04c2688e9c09017f08fde7654546a7bf4e472a38a9feb5ec355eec95cb

Observation 7cf8450f-98a8-428e-b5c0-170ef7f20287 · outbound

This paper cites Optimised Renormalisation Group Flows.

Solving Functional Renormalization Group Equations with Neural Networks Optimised Renormalisation Group Flows

Reference 56

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source=pdf_text observed=2026-08-02T17:48:28.129039Z digest=sha256:ba0f49c257976fcccad8acdd8e92e7a6452e3d31d9fe7e7cf9b0fc3dcc68799d

Observation f40a4420-dc27-4137-8cde-94cf901d1475 · outbound

This paper cites Physics and the choice of regulators in functional renormalisation group flows.

Solving Functional Renormalization Group Equations with Neural Networks Physics and the choice of regulators in functional renormalisation group flows

Reference 57

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source=pdf_text observed=2026-08-02T17:48:28.213253Z digest=sha256:34066d481d0a75158461ebc368b8859528bca17495d3c7baa650d3de498cfd08

Observation eb91ed72-33df-40fa-9aee-15b940b35982 · outbound

This paper cites Convergence of Non-Perturbative Approximations to the Renormalization Group.

Solving Functional Renormalization Group Equations with Neural Networks Convergence of Non-Perturbative Approximations to the Renormalization Group

Reference 58

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source=pdf_text observed=2026-08-02T17:48:28.311532Z digest=sha256:ceb0b6adbbde60bd401965ab869e8c422890743d14118c4f115d970312f71509

Observation 217c44b4-39ca-47da-b83c-20be21500dc6 · outbound

This paper cites Precision calculation of critical exponents in the $O(N)$ universality classes with the nonperturbative renormalization group.

Solving Functional Renormalization Group Equations with Neural Networks Precision calculation of critical exponents in the $O(N)$ universality classes with the nonperturbative renormalization group

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source=pdf_text observed=2026-08-02T17:48:28.449729Z digest=sha256:bd56a4bb037c965dbae7a27e1c90aedaec0ae31b395b6149ab3093063c8e8f7d

Observation 587184f5-e084-423b-8084-93fa72d99f42 · outbound

This paper cites Critical exponents from optimised renormalisation group flows.

Solving Functional Renormalization Group Equations with Neural Networks Critical exponents from optimised renormalisation group flows

Reference 60

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source=pdf_text observed=2026-08-02T17:48:28.580413Z digest=sha256:46830f09da6c0ac404e0f2536e2d0ae917847e1424672778c10fb515292947cd

Observation 30589026-6e00-4dc9-9106-4876a3ee5265 · outbound

This paper cites Global solutions of functional fixed point equations via pseudo-spectral methods.

Solving Functional Renormalization Group Equations with Neural Networks Global solutions of functional fixed point equations via pseudo-spectral methods

Reference 61

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source=pdf_text observed=2026-08-02T17:48:28.690837Z digest=sha256:9b1c903b7ecbdc50f3d60b4fdf502a5452f5f7f402756a0bcdf710d933770e78

Observation a9d700a4-2220-4136-b264-67c2f108f95a · outbound

This paper cites Solving functional flow equations with pseudo-spectral methods.

Solving Functional Renormalization Group Equations with Neural Networks Solving functional flow equations with pseudo-spectral methods

Reference 62

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source=pdf_text observed=2026-08-02T17:48:28.846111Z digest=sha256:a2ab25cee43d247a267aa3c656cae0d59b353f80b1a44f2f7ad59ba37b9ff091

Observation a8938dbb-45c8-4456-9d9f-80a261f55d11 · outbound

This paper cites Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram.

Solving Functional Renormalization Group Equations with Neural Networks Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram

Reference 63

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source=pdf_text observed=2026-08-02T17:48:28.937409Z digest=sha256:02de0f2ceb77a7c0038125eaae170c089a0fe311cddd5079e579f151a7715a4b

Observation fcdf4f6c-633f-4611-92ee-6912c8e241c2 · outbound

This paper cites Resolving phase transitions with Discontinuous Galerkin methods.

Solving Functional Renormalization Group Equations with Neural Networks Resolving phase transitions with Discontinuous Galerkin methods

Reference 64

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source=pdf_text observed=2026-08-02T17:48:29.033643Z digest=sha256:c92d96fc495e326def8292f3f788296873d54af393820a752a13cc1ae7de0c79

Observation 07b5f7ea-d9da-4acf-a288-c25888a05ad5 · outbound

This paper cites DiFfRG: A Discretisation Framework for functional Renormalisation Group flows.

Solving Functional Renormalization Group Equations with Neural Networks DiFfRG: A Discretisation Framework for functional Renormalisation Group flows

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source=pdf_text observed=2026-08-02T17:48:29.141283Z digest=sha256:c5c85c0e0c1ddafa703dc115ade7d9bf9f23ca884078864c647fe7faedf3d8a9

Observation 130b005d-2e41-4d01-9b5c-87110fe7ee11 · outbound

This paper cites Functional Renormalization Group meets Computational Fluid Dynamics: RG flows in a multi-dimensional field space.

Solving Functional Renormalization Group Equations with Neural Networks Functional Renormalization Group meets Computational Fluid Dynamics: RG flows in a multi-dimensional field space

Reference 66

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source=pdf_text observed=2026-08-02T17:48:29.243392Z digest=sha256:bcfc6d5d4e3df67e838a5b0fc624ae596ed543e392a0bf4e9da73db6546458ed

Observation 448c9512-9fd2-4830-81f6-739f80144f97 · outbound

This paper cites Four-quark scatterings in QCD I.

Solving Functional Renormalization Group Equations with Neural Networks Four-quark scatterings in QCD I

Reference 67

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source=pdf_text observed=2026-08-02T17:48:29.330626Z digest=sha256:0e0e45025170de1d766da11c6a9c4f627bb2346ec29595bc5c94065ee8e409a6

Observation 67f7bbe3-e255-4451-9ab9-af8962eb8d16 · outbound

This paper cites Four-quark scatterings in QCD III.

Solving Functional Renormalization Group Equations with Neural Networks Four-quark scatterings in QCD III

Reference 68

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source=pdf_text observed=2026-08-02T17:48:29.384162Z digest=sha256:4c20176b8194c988218e523097cbacd6b897df2716b48e897779df0116f9cd3f

Observation e99bfd6f-d21f-4dcd-bf1a-7831cd5c9b51 · outbound

This paper cites Real-time dynamics of the $O(4)$ scalar theory within the fRG approach.

Solving Functional Renormalization Group Equations with Neural Networks Real-time dynamics of the $O(4)$ scalar theory within the fRG approach

Reference 69

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source=pdf_text observed=2026-08-02T17:48:29.546262Z digest=sha256:d2c9d511313d543c23aa0bced70b9e8d13b19426c29879e90fd6e14a08442918

Observation e2a7c12a-3b41-4b3b-945f-882b26525174 · outbound

This paper cites Hohenberg and B.

Solving Functional Renormalization Group Equations with Neural Networks Hohenberg and B

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source=pdf_text observed=2026-08-02T17:48:29.672583Z digest=sha256:9c4df1d839054efe84406c692e3beecb7fd3ac2f8facbfc9fab1d227b7e37c57

Observation 41fa34f7-43bf-493e-85a0-786c0f10a3db · outbound

This paper cites an unresolved cited work.

Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 71

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source=pdf_text observed=2026-08-02T17:48:29.770273Z digest=sha256:08897f86e53c3e20290773e0e273674079a1001ae3317af17ffef1ab7ab0f198

Observation 1f58f02e-ce5a-4865-9ae9-faa6b134a5ee · outbound

This paper cites an unresolved cited work.

Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 72

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source=pdf_text observed=2026-08-02T17:48:29.884530Z digest=sha256:afbb5d7ed9a9907fc36eb81e7e3d1f63512a879da16a6df7d624045fa84227be

Observation 5a0c3a51-f4f5-43df-aaee-49d8a894ceff · outbound

This paper cites Falcon and The PyTorch Lightning team, PyTorch Lightning (2019), version 1.4, software.

Solving Functional Renormalization Group Equations with Neural Networks Falcon and The PyTorch Lightning team, PyTorch Lightning (2019), version 1.4, software

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source=pdf_text observed=2026-08-02T17:48:29.960039Z digest=sha256:564ec67be0c246068939dda38de24a39cac1d3ab8acc26c0e3dd03d2a026abe6

Observation 0feae9ff-7dc3-4a28-9826-f7686b7c4448 · outbound

This paper cites Criticality of the $O(N)$ universality via global solutions to nonperturbative fixed-point equations.

Solving Functional Renormalization Group Equations with Neural Networks Criticality of the $O(N)$ universality via global solutions to nonperturbative fixed-point equations

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source=pdf_text observed=2026-08-02T17:48:30.018286Z digest=sha256:7df62c839658ff9e5a3090e50f5796eef6aa449f3e2777b2917d13d90552edcc

Observation b636bc19-ae65-4d8d-a3ce-cd6715987f40 · outbound

This paper cites Tancik, P.

Solving Functional Renormalization Group Equations with Neural Networks Tancik, P

Reference 75

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source=pdf_text observed=2026-08-02T17:48:30.100344Z digest=sha256:93ecbc9001efdc021709fbf9ed07b5778e1c95dfd74a0fda61867666340e3c5d

Observation 93b141a3-5e77-46dd-ad27-5b4a5dec5807 · outbound

This paper cites an unresolved cited work.

Solving Functional Renormalization Group Equations with Neural Networks Unresolved cited work

Reference 76

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source=pdf_text observed=2026-08-02T17:48:30.154127Z digest=sha256:ae03b06acd8ee82c8314fa2b3bbdf5ec3617ec84c4e7d7346a1d498cfc41f655

Observation 9c483c21-d6e0-46bf-bc47-03328251b43d · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Solving Functional Renormalization Group Equations with Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

Reference 77

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source=pdf_text observed=2026-08-02T17:48:30.232420Z digest=sha256:0b5b665080e68017ef46b13529dddd92d3a03c10bb7020823d8d02946d2f37fb

Observation 87d29d2e-0531-4bd2-82fc-3b55a692b50f · outbound

This paper cites Physics-informed renormalisation group flows.

Solving Functional Renormalization Group Equations with Neural Networks Physics-informed renormalisation group flows

Reference 78

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source=pdf_text observed=2026-08-02T17:48:30.334673Z digest=sha256:084e1b1c9d18e6d000214cda3c4ea27d79dd002b4eba0e998ab8170728400437

Observation 073e7edf-2f72-45ae-bfac-433b7c0cbd13 · outbound

This paper cites Ihssen, R.

Solving Functional Renormalization Group Equations with Neural Networks Ihssen, R

Reference 79

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source=pdf_text observed=2026-08-02T17:48:30.452376Z digest=sha256:819e09577ab3d7403aae1e9ae3876b5abdcc0f79c9726d02dc63d497eeaad988

Observation bb8f0c39-fe98-4a6b-b6c9-3fa63a674e00 · outbound

This paper cites Physics-informed operator flows and observables.

Solving Functional Renormalization Group Equations with Neural Networks Physics-informed operator flows and observables

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source=pdf_text observed=2026-08-02T17:48:30.578739Z digest=sha256:f12c11540d3076f1fce3ec7f6cb387e0298daec6e80382b0b54c8bb63cb4c5f3

Observation 4a8f49f9-fa8b-40de-a018-7f146746c5f9 · outbound

This paper cites Ihssen, R.

Solving Functional Renormalization Group Equations with Neural Networks Ihssen, R

Reference 81

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This paper cites Tan, W.-j.

Solving Functional Renormalization Group Equations with Neural Networks Tan, W.-j

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This paper cites Critical dynamics within the real-time fRG approach.

Solving Functional Renormalization Group Equations with Neural Networks Critical dynamics within the real-time fRG approach

Reference 83

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Diffusion Models for Sampling Near Criticality in Lattice Field Theories cites this paper.

Diffusion Models for Sampling Near Criticality in Lattice Field Theories Solving Functional Renormalization Group Equations with Neural Networks

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