Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T05:57:13.128467Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 0 inbound Pith citation observations for arXiv:2602.01083.
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 2026-08-03T05:57:13.128467Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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
82 of 82 outbound references displayed
External citation measurements
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Observation 678d720d-f723-45f1-83de-30ca2076a609 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks A convergence theory for deep learning via over-parameterization
Reference 1
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Observation 00e857e9-4640-49b3-be78-d5edcd28c4d5 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Expressive Power of Invariant and Equivariant Graph Neural Networks
Reference 2
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Observation e7a9a177-61d3-405a-a046-bd365d650536 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks A flexible, equivariant framework for subgraph gnns via graph products and graph coarsening.Advances in Neural Information Processing Systems, 37:101168– 101222, 2024
Reference 3
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Observation 82b719f3-10e1-4561-95d7-933b55368a48 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Reconciling modern machine-learning practice and the classical bias–variance trade-off.Proceedings of the National Academy of Sciences, 116(32):15849–15854, 2019
Reference 4
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Observation eae162de-5bb1-4ec3-894f-1f9ed1df51bd · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Equivariant Subgraph Aggregation Networks
Reference 5
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Observation 1670c001-9912-4f9c-aedc-1486428775c6 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Weisfeiler and lehman go cellular: Cw networks.Advances in neural information processing systems, 34:2625–2640, 2021
Reference 6
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Observation 94960301-cdce-47f5-b443-4138ed3559f7 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Improving graph neural network expressivity via subgraph isomorphism counting.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(1):657–668, 2022
Reference 7
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Observation 1d24d779-24df-412d-9952-78a5cbfaea71 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges
Reference 8
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Observation 22b4a8fb-9bad-4c06-9be3-9a01cd471c08 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Reconstruction for powerful graph representations
Reference 9
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Observation f81e1b98-d68a-4eab-acdf-16dbe864e76e · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Approximation by superpositions of a sigmoidal function.Mathematics of control, signals and systems, 2(4):303–314, 1989
Reference 10
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Observation 5c3f6bc3-d0e0-4945-b981-df1c3880399a · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Laplace redux-effortless bayesian deep learning.Advances in neural information processing systems, 34:20089– 20103, 2021
Reference 11
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Observation 219d8ac7-d1e3-4bda-8274-30157626d2f1 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Deep Learning on Implicit Neural Representations of Shapes
Reference 12
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Observation fab0b478-e5cc-4f99-b71a-c556aa5af340 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Gradient descent finds global minima of deep neural networks
Reference 13
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Observation 12f30a35-ff06-4509-abf8-eac3f5dabd0e · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks From data to functa: Your data point is a function and you can treat it like one
Reference 14
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Observation 62ca243a-a241-4124-8e17-ed7bb0a8d0c1 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Benchmarking graph neural networks.Journal of Machine Learning Research, 24(43):1–48, 2023
Reference 15
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Observation 2f5fa66e-ace5-4fa0-94ad-da233ec32d6f · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On the Universality of Rotation Equivariant Point Cloud Networks
Reference 16
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Observation 477a6c89-1e1e-4c49-94e9-cd4f70893979 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Classifying the classifier: dissecting the weight space of neural networks
Reference 17
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Observation c334e843-8699-4ea7-a3e5-c8e8cfd1ab8b · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Topological Blindspots: Understanding and Extending Topological Deep Learning Through the Lens of Expressivity
Reference 18
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Observation dfa8f03c-7b01-4a1d-a056-4f40f4a24544 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On the expressive power of gnn derivatives.arXiv preprint arXiv:2510.02565, 2025
Reference 19
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Observation 09f2e84d-3538-469a-99a6-15428c0d191f · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Fs-kan: Permutation equivariant kolmogorov-arnold networks via function sharing.arXiv preprint arXiv:2509.24472, 2025
Reference 20
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Observation 188e318c-1c99-4ff5-a5e0-bf7e4238166e · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Equivariance everywhere all at once: A recipe for graph foundation models.arXiv preprint arXiv:2506.14291, 2025
Reference 21
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Observation 15408376-8015-452b-b819-5de0fff32aee · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Understanding and extending subgraph gnns by rethinking their symmetries.Advances in Neural Information Processing Systems, 35:31376– 31390, 2022
Reference 22
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Observation c2789b23-458f-490e-a21c-7dfe8c037694 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Gradmetanet: An equivariant architecture for learning on gradients.arXiv preprint arXiv:2507.01649, 2025
Reference 23
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Observation 13463461-05c5-431c-9afa-9ed583057f40 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Descriptive complexity, canonisation, and definable graph structure theory, volume 47 of lecture notes in logic
Reference 24
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Observation 21ba0767-7e07-4103-a9d1-11f1e134ecaa · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Studying Large Language Model Generalization with Influence Functions
Reference 25
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Observation 0e1ec789-7bf2-4269-aa35-249f51c2a685 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Learning both weights and connections for efficient neural network.Advances in neural information processing systems, 28, 2015
Reference 26
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Observation 91de4e61-9a4d-4f18-bc16-302de02d76c5 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Optimal brain surgeon and general network pruning
Reference 27
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Observation d529b0e9-09d8-41c0-a55e-8374e05cd6f4 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Sparsified Model Zoo Twins: Investigating Populations of Sparsified Neural Network Models
Reference 28
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Observation 4a3de752-64aa-4a5d-a3e4-17f7bf91d1f0 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Eurosat model zoo: A dataset and benchmark on populations of neural networks and its sparsified model twins
Reference 29
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Observation 9f912fad-50b0-4c1f-843d-ac8c0d5c6d1b · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Weisfeiler Leman for Euclidean Equivariant Machine Learning
Reference 30
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Observation ea237bc7-cf93-4537-b934-76845b9cb3d2 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Complete neural networks for complete euclidean graphs
Reference 31
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Observation c0b71c8d-0291-4c8b-aff6-9520140ebe94 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Approximation capabilities of multilayer feedforward networks.Neural networks, 4(2):251–257, 1991
Reference 32
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Observation 39313fdf-341f-4124-b2ed-fe35d6a89729 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Scalable marginal likelihood estimation for model selection in deep learning
Reference 33
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Observation b9fedd2e-8d86-4b24-9413-008eff1bbddb · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Scale equivariant graph metanetworks
Reference 34
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Observation f1d28ca6-4323-443d-b61e-b12f5061a2f8 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Scaling Laws for Neural Language Models
Reference 35
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Observation ab167e78-1c4c-4591-819f-942cba2990eb · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Universal invariant and equivariant graph neural networks.Advances in neural information processing systems, 32, 2019
Reference 36
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Observation 68155baa-2bb3-400b-963a-188f47a938bb · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Graph Neural Networks for Learning Equivariant Representations of Neural Networks
Reference 37
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Observation a9b0187d-8397-481b-b3f1-0bee311f9a2b · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Understanding black-box predictions via influence functions
Reference 38
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Observation 99953767-73ec-4f4b-9ef4-05067a020d09 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Optimal brain damage.Advances in neural information processing systems, 2, 1989
Reference 39
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Observation b0c3f535-3bd2-4caf-9316-70711cda3293 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Sign and Basis Invariant Networks for Spectral Graph Representation Learning
Reference 40
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Observation fee813ec-4f6b-47ee-ac65-a3dea7adc9c9 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Graph Metanetworks for Processing Diverse Neural Architectures
Reference 41
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Observation 147bd497-6621-452b-8b5a-ec05232852a1 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Provably powerful graph networks
Reference 42
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Observation 9e2175f1-e952-454b-8dd1-3d2477d87a97 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On the universality of invariant networks
Reference 43
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Observation 585bca5f-8982-4f1e-aa26-56e31bbb9e5d · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On learning sets of symmetric elements
Reference 44
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Observation 4685644b-6a97-439f-81d5-4ea33ef2e097 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Nerf: Representing scenes as neural radiance fields for view synthesis.Communications of the ACM, 65(1):99–106, 2021
Reference 45
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Observation e63864bd-d3e2-426d-96f7-7d93cbbaffa5 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On the number of linear regions of deep neural networks.Advances in neural information processing systems, 27, 2014
Reference 46
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Observation e242d84c-762a-435d-85af-f7c68223a3da · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Weisfeiler and leman go neural: Higher-order graph neural networks
Reference 47
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Observation a80cbd91-7f27-419e-b07e-0d909a149779 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Weisfeiler and leman go machine learning: The story so far.Journal of Machine Learning Research, 24(333):1–59, 2023
Reference 48
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Observation d9d6f6e0-c7a7-4f4e-80cc-fa0933fc542e · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Equivariant architectures for learning in deep weight spaces
Reference 49
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Observation a32fc744-d197-4760-b1b5-e822a4f55039 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On Universality of Deep Equivariant Networks
Reference 50
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Observation 40fb3615-c3e3-457e-b2df-17193d1d7487 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On universality classes of equivariant networks.arXiv preprint arXiv:2506.02293, 2025
Reference 51
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Observation 991ba3b6-89fd-4fc9-815c-b2357090d74f · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Learning on LoRAs: GL-Equivariant Processing of Low-Rank Weight Spaces for Large Finetuned Models
Reference 52
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Observation ad0a1aa5-d383-46fc-ac5d-e80066ecb7f8 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Pointnet: Deep learning on point sets for 3d classification and segmentation
Reference 53
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Observation a68b52f3-7821-4527-98a4-7bdaecab68e6 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On the expressive power of deep neural networks
Reference 54
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Observation cc315ab4-ba47-435f-a06d-9840b4134b45 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Universal equivariant multilayer perceptrons
Reference 55
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Observation 76b450be-868c-478f-b36f-fd0938cd12a7 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks A persistent weisfeiler-lehman procedure for graph classification
Reference 56
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Observation dbd69588-d86f-47b2-acc1-303a62a533d7 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Self-supervised representation learning on neural network weights for model characteristic prediction.Advances in Neural Information Processing Systems, 34: 16481–16493, 2021
Reference 57
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Observation c572c656-dc5b-4074-8a0b-a48d210e6b53 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks A model zoo on phase transitions in neural networks.arXiv preprint arXiv:2504.18072, 2025
Reference 58
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Observation cabfa7a2-c62d-4c42-83e5-d2a3c16decc1 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks On Universal Equivariant Set Networks
Reference 59
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Observation 99ac3bc1-01a6-46f1-845f-0a617a97339c · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Bounding and counting linear regions of deep neural networks
Reference 60
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Observation d85b19ee-7c3f-41db-9d99-aa97e60b1f60 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Improved Generalization of Weight Space Networks via Augmentations
Reference 61
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Observation 0ffb03c2-bcf2-4ce6-b0d6-10f1c1f43548 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Implicit neural representations with periodic activation functions.Advances in neural information processing systems, 33: 7462–7473, 2020
Reference 62
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Observation 95031fd6-9f2f-4260-a266-d8994637dc6d · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Balancing Efficiency and Expressiveness: Subgraph GNNs with Walk-Based Centrality
Reference 63
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Observation 7cc81c8a-5044-4c51-8e2c-e44ee75d9e5d · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Monomial matrix group equivariant neural functional networks.Advances in Neural Information Processing Systems, 37:48628–48665, 2024
Reference 64
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Observation c8294f25-c8e6-494e-a9ab-9cc49fdf9137 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Predicting Neural Network Accuracy from Weights
Reference 65
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Observation 73451373-a53c-4a6b-bbe4-b578210199e1 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Equivariant polynomial functional networks.arXiv preprint arXiv:2410.04213, 2024
Reference 66
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Observation 7b57b6c1-6433-4c0f-852e-623631f5dcd4 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Recurrent Diffusion for Large-Scale Parameter Generation
Reference 67
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Observation 4f1dfe32-7132-4943-aaed-c20dd3392a02 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks How Powerful are Graph Neural Networks?
Reference 68
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Observation a8918936-f096-47df-92e7-5062d3ec87ad · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Deep sets.Advances in neural information processing systems, 30, 2017
Reference 69
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Observation 63adac97-e8da-44ab-a597-fa63bd1ec2d2 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Nested graph neural networks.Advances in Neural Information Processing Systems, 34:15734–15747, 2021
Reference 70
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Observation ff5a3589-2b10-4b31-83c7-c67f02d2cfb1 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Permutation equivariant neural functionals.Advances in neural information processing systems, 36: 24966–24992, 2023
Reference 71
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Observation f71b0ac0-646f-4669-98a9-3137ce06d70e · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Neural functional transformers.Advances in neural information processing systems, 36:77485–77502, 2023
Reference 72
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Observation 9428cbfd-11df-46d3-be87-c00f911d520b · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Universal neural functionals.Advances in neural information processing systems, 37:104754–104775, 2024
Reference 73
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Observation 889ca7df-ee78-4cbc-9c2e-46a5cecfe353 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks preserved
Reference 74
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Observation 6047aedf-473d-4401-9e23-80a82dd5a22d · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Unresolved cited work
Reference 75
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Observation 4307469c-30c3-4f07-b2dc-32643cd8344d · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Before proving Theorem F.9, we introduce a convenient class of functions that captures the geometric complexity of ReLU networks with a fixed architecture
Reference 76
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Observation d778a3f3-dea0-4047-b3b5-8dd0c2632167 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks ,vj,rj }(233) for somev j,ℓ ∈Xwith1≤r j ≤R
Reference 77
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Observation df35696d-9925-477c-accd-13f140a5a1a7 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Unresolved cited work
Reference 78
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Observation 093aceea-16aa-42f1-8200-1efcd3132f07 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks f(x) =A j(x)∀x∈P j.(235) We refer toP 1,
Reference 79
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Observation 5e4185c3-a4dc-44fd-82c1-0f6b82d5f271 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks Unresolved cited work
Reference 80
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Observation 82934abb-fa1b-4cf2-919b-1481cb1f5ff3 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks If P has R vertices, it has at most R(R−1)/2 edges
Reference 81
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Observation 729b3ff4-0b09-4b46-aebb-0bcf21c07b53 · outbound
On the Expressive Power of Permutation-Equivariant Weight-Space Networks ,v(k) j,rk j },(242) with1≤r k j ≤Randv (k) j,ℓ ∈X; 3.f k(x) =A (k) j (x)for allx∈P (k) j
Reference 82
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