Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:41:11.622295Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2608.07053.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:41:11.622295Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f9f5c58b-cba0-40ed-9a50-c1de24d8c675 · outbound
Unsupervised Adaptation of PDE Foundation Models One-shot transfer learning for nonlinear pdes with perturbative pinns.arXiv preprint arXiv:2511.11137, 2025
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 054a182f-c88f-4743-bcaa-af80fd1e6d8f · outbound
Unsupervised Adaptation of PDE Foundation Models A table of solutions of the one-dimensional burgers equation.Quarterly of Applied Mathematics, 30(2):195–212, 1972
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d4d975af-dd37-4140-b6b3-5cf30dd2a1f5 · outbound
Unsupervised Adaptation of PDE Foundation Models Hypino: Multi-physics neural operators via hyperpinns and the method of manufactured solu- tions.arXiv preprint arXiv:2509.05117, 2025
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 29689080-43d6-467c-a63a-4c47a6e7a680 · outbound
Unsupervised Adaptation of PDE Foundation Models Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 008e72c1-7785-4409-bb45-07acf921bbcf · outbound
Unsupervised Adaptation of PDE Foundation Models Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901, 2020
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 228efd8e-1854-40d3-91c4-37031d928d2b · outbound
Unsupervised Adaptation of PDE Foundation Models OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22e877a0-20d7-4536-be4c-55b3cb63b2db · outbound
Unsupervised Adaptation of PDE Foundation Models Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.IEEE Trans
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0084048c-a055-4e76-bf12-f7c95e953555 · outbound
Unsupervised Adaptation of PDE Foundation Models OmniArch: Building Foundation Model For Scientific Computing
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4e0178f-e5c4-469d-a313-58fbcc18de17 · outbound
Unsupervised Adaptation of PDE Foundation Models Can-pinn: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method.Computer Methods in Applied Mechanics and Engineering, 395:114909, 2022
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 355ed45d-989a-4db7-aa7c-92a8803c1bed · outbound
Unsupervised Adaptation of PDE Foundation Models On a quasi-linear parabolic equation occurring in aerodynamics.Quarterly of applied mathematics, 9(3):225–236, 1951
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 876234f3-8224-41b8-9647-4c6d662edf68 · outbound
Unsupervised Adaptation of PDE Foundation Models Bert: Pre-training of deep bidirectional transformers for language understanding
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6bbb08ca-afc0-4d0c-8ef4-c88e1bb74f6c · outbound
Unsupervised Adaptation of PDE Foundation Models An image is worth 16x16 words: Transformers for image recognition at scale
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f8032c8-be9d-444a-8627-17d0b3526370 · outbound
Unsupervised Adaptation of PDE Foundation Models Evans.Partial differential equations, volume 19 ofGrad
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 87378065-af29-470c-9b6c-7921f1c49bff · outbound
Unsupervised Adaptation of PDE Foundation Models Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48575b25-c530-4abc-944e-eaeae3d16d01 · outbound
Unsupervised Adaptation of PDE Foundation Models DPOT: auto-regressive denoising operator transformer for large-scale PDE pre-training
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dd4a243c-c875-4877-b4f8-926a8bafd932 · outbound
Unsupervised Adaptation of PDE Foundation Models Neighborhood attention transformer
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 211ffb5f-af78-45c5-b4f0-22eb1e90a79f · outbound
Unsupervised Adaptation of PDE Foundation Models Poseidon: Efficient founda- tion models for pdes
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 60eec8d7-f3be-4010-a289-e7f16dd3f58f · outbound
Unsupervised Adaptation of PDE Foundation Models Holzschuh, Qiang Liu, Georg Kohl, and Nils Thuerey
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ccf1239-3fb0-4dfe-828d-14260484c6ba · outbound
Unsupervised Adaptation of PDE Foundation Models The partial differential equation ut +uu x =µu xx.Communications on Pure and Applied Mathematics, 3(3):201–230, 1950
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a561bcd-32c9-425e-b930-94a926aa4b7c · outbound
Unsupervised Adaptation of PDE Foundation Models Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88d88317-3a2c-4099-82c7-5bf17511193e · outbound
Unsupervised Adaptation of PDE Foundation Models Muon: An optimizer for hidden layers in neural networks, 2024
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0edaffa-009d-4755-b616-aa353dc4c4d5 · outbound
Unsupervised Adaptation of PDE Foundation Models Uniform spec- tral growth and convergence of muon in lora-style matrix factorization.arXiv preprint arXiv:2602.06385, 2026
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48d1594b-f558-4c2b-a173-cca869e829e4 · outbound
Unsupervised Adaptation of PDE Foundation Models Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d09da347-c4b0-4286-8484-ebf31307cd36 · outbound
Unsupervised Adaptation of PDE Foundation Models Apebench: A benchmark for autoregressive neural emulators of pdes
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8bccf7a7-027d-4bdf-a048-42478e38b5ae · outbound
Unsupervised Adaptation of PDE Foundation Models Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56737f3c-09a3-47cb-acf3-345e2c86706b · outbound
Unsupervised Adaptation of PDE Foundation Models Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ee9baa7e-f92e-43ab-8e8f-a500d8cb0818 · outbound
Unsupervised Adaptation of PDE Foundation Models LeVeque.Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ef000df0-f9c3-4443-bf19-d81607c95dc4 · outbound
Unsupervised Adaptation of PDE Foundation Models Stuart, and Anima Anandkumar
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 93f85bf0-a874-4089-9d1e-1d84bf46fb0c · outbound
Unsupervised Adaptation of PDE Foundation Models Fourier neural operator with learned deformations for pdes on general geometries.Journal of Machine Learning Research, 24(388):1–26, 2023
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e20bee4-591c-4841-8492-4b9702df231b · outbound
Unsupervised Adaptation of PDE Foundation Models Physics-informed neural operator for learning partial differential equations.ACM/IMS Journal of Data Science, 1(3):1–27, 2024
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f03e8c87-2926-486c-a874-ce1ee6438198 · outbound
Unsupervised Adaptation of PDE Foundation Models A convnet for the 2020s
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d226f9d6-9a0c-4aa1-9ce8-4bb0b8a11ace · outbound
Unsupervised Adaptation of PDE Foundation Models Learning nonlinear operators via deeponet based on the universal approximation theorem of operators
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4326d286-7448-4417-b141-0d54ec23bdf6 · outbound
Unsupervised Adaptation of PDE Foundation Models Cranmer, Alberto Bietti, Michael Eickenberg, Siavash Golkar, Géraud Krawezik, François Lanusse, Mariel Pettee, Tiberiu Tesileanu, Kyunghyun Cho, and Shirley Ho
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c21f3197-dfa2-4b28-b7aa-18d32c8f7428 · outbound
Unsupervised Adaptation of PDE Foundation Models PhysiX: A Foundation Model for Physics Simulations
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28574b0b-cad5-4547-8c1e-942e8c05a6e6 · outbound
Unsupervised Adaptation of PDE Foundation Models The well: a large-scale collection of diverse physics simulations for machine learning.Advances in Neural Information Processing Systems, 37:44989–45037, 2024
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58737e92-604a-4c1a-b700-f087d5e9237c · outbound
Unsupervised Adaptation of PDE Foundation Models Karniadakis
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5f693d4-3ce5-4c2c-91d0-a4ce86d67c38 · outbound
Unsupervised Adaptation of PDE Foundation Models Convolutional neural operators for robust and accurate learning of PDEs
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 37abe6ac-55cb-4781-b0fe-509757836a37 · outbound
Unsupervised Adaptation of PDE Foundation Models Morph: Pde foundation models with arbitrary data modality.arXiv preprint arXiv:2509.21670, 2025
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c08a3cd0-c18f-451a-b4ea-024139acbdb3 · outbound
Unsupervised Adaptation of PDE Foundation Models U-net: Convolutional networks for biomedical image segmentation
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d9c9b56-4387-4b3e-9d3d-235218333ad7 · outbound
Unsupervised Adaptation of PDE Foundation Models Test-time gen- eralization for physics through neural operator splitting.arXiv preprint arXiv:2602.00884, 2026
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86173532-bd1d-45e9-bd76-5b3254a4b138 · outbound
Unsupervised Adaptation of PDE Foundation Models GLU Variants Improve Transformer
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 090144e5-d89c-4145-bbac-046d2f312e01 · outbound
Unsupervised Adaptation of PDE Foundation Models LeMON: Learning to Learn Multi-Operator Networks
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0175ab15-4375-413a-ace1-49f2baceead0 · outbound
Unsupervised Adaptation of PDE Foundation Models Pdebench: An extensive benchmark for scientific machine learning
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6e16f053-28b3-4549-97fd-1d565089be52 · outbound
Unsupervised Adaptation of PDE Foundation Models Mechanism of the production of small eddies from large ones.Proceedings of the Royal Society of London
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 533230cc-7054-43a7-9df6-50a0e840c633 · outbound
Unsupervised Adaptation of PDE Foundation Models Factorized Fourier Neural Operators
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 780b51a8-5b6e-48d2-9a58-414c574fde8f · outbound
Unsupervised Adaptation of PDE Foundation Models Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73460f66-a39b-4ea9-9578-6883b5e14cc7 · outbound
Unsupervised Adaptation of PDE Foundation Models Respecting causality is all you need for training physics-informed neural networks
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1cd3d4f-5620-4f8c-975e-5ca48f4db6cb · outbound
Unsupervised Adaptation of PDE Foundation Models When and why pinns fail to train: A neural tangent kernel perspective.J
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5603482c-4e02-49d9-9bea-dc25d9dcf156 · outbound
Unsupervised Adaptation of PDE Foundation Models Gradient alignment in physics-informed neural networks: A second-order optimization perspective
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eba76cf4-8214-4b9d-bc3f-4a843cd18ebb · outbound
Unsupervised Adaptation of PDE Foundation Models Orthogonal subspace learning for language model continual learning
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89998280-e55f-4025-88e0-e6492ab9ec9f · outbound
Unsupervised Adaptation of PDE Foundation Models Orthogeolora: Geometric parameter-efficient fine-tuning for structured social science concept retrieval on theweb.arXiv preprint arXiv:2601.09185, 2026
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1eb6d308-e42c-42a6-9bb0-ce6f06c51ace · outbound
Unsupervised Adaptation of PDE Foundation Models Evolutionary neural architecture search for physics-informed neural networks with variable-length designs.IEEE Transactions on Evolutionary Computation, pages 1–1, 2026
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5753a787-e925-4110-8d88-894cc226102e · outbound
Unsupervised Adaptation of PDE Foundation Models Out-of-distribution generalization for neural physics solvers.arXiv preprint arXiv:2601.19091, 2026
Reference 53
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Unavailable: canonical work link unavailable.
Observation cc694545-04fb-4ea2-b7f1-5400db081394 · outbound
Unsupervised Adaptation of PDE Foundation Models Geometry aware operator transformer as an efficient and accurate neural surrogate for PDEs on arbitrary domains
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a47ec9d9-4955-41e8-ac69-0acf710f343a · outbound
Unsupervised Adaptation of PDE Foundation Models Transolver: A fast transformer solver for pdes on general geometries
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b2b135aa-d949-4b61-9213-06d65cf46d99 · outbound
Unsupervised Adaptation of PDE Foundation Models Oplora: Orthogonal projection lora prevents catastrophic forgetting during parameter-efficient fine-tuning
Reference 56
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Unavailable: canonical work link unavailable.
Observation 81145e23-2e90-4b12-9058-07803e7751fa · outbound
Unsupervised Adaptation of PDE Foundation Models Root mean square layer normalization
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b85c55ae-183b-4cf3-b6ad-67effc627a48 · outbound
Unsupervised Adaptation of PDE Foundation Models Physics-informed temporal alignment for auto-regressive PDE foundation models
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b6149cdb-f527-43c3-8d78-fafad3cec03e · outbound
Unsupervised Adaptation of PDE Foundation Models Width” denotes hidden_channels for FNO and TFNO and init_features for the two U-Nets. “Depth
Reference 59
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Unavailable: canonical work link unavailable.
Observation 439202b6-1fc9-4a3c-8335-533cf2b9d602 · outbound
Unsupervised Adaptation of PDE Foundation Models URLhttps://openreview.net/forum?id=nZeVKeeFYf9
Reference 2022
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Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.