Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:54:52.396995Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 100 of 126 outbound references and 1 inbound Pith citation observation for arXiv:2412.11521.
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 2026-08-11T14:54:52.396995Z
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, observed 2026-08-15T20:55:25.325890Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T12:16:17.039197Z
100 of 126 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 99c0ba41-44c4-49ec-8c72-9e6a8b868046 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Progress and limitations of deep networks to recognize objects in unusual poses
Reference 1
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Unavailable: canonical work link unavailable.
Observation 91c77d72-29bf-4b10-b8a5-c1a21e7e0cc7 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Git Re-Basin : Merging models modulo permutation symmetries
Reference 2
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Observation 4eff5d19-d315-4447-a3d1-91efc2cb078b · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Strike (with) a pose: Neural networks are easily fooled by strange poses of familiar objects
Reference 3
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Observation 84ef3a2c-0f55-4b57-a86c-5a84f61b0bbf · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Symmetry-adapted representation learning
Reference 4
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Observation 04055fbf-d18f-47d6-b301-d1f781cb3a56 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Data symmetries and learning in fully connected neural networks
Reference 5
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Observation a7bc6831-1d3a-42cb-ba85-eab475ccc1c1 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory On exact computation with an infinitely wide neural net
Reference 6
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Observation 6e332fa0-b588-437e-b87b-6a96064ca3d9 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unified theoretical framework for wide neural network learning dynamics
Reference 7
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Observation 255ec48a-9027-455d-8348-11010709fabd · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Why do deep convolutional networks generalize so poorly to small image transformations? Journal of Machine Learning Research (JMLR), 2019
Reference 8
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Observation 2d2c36cb-664c-4011-adba-2374f5171d56 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Breaking the curse of dimensionality with convex neural networks
Reference 9
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Observation d530f323-de98-4332-99c0-49409f0b9083 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Explaining neural scaling laws
Reference 10
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Observation 7d4f3c56-b38a-4229-897a-bf73c4141171 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory A cookbook of self-supervised learning
Reference 11
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Observation bbf2afc5-9cfb-4ed8-832e-23ad5c5bc70c · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Developmental changes in children’s object insertions during play
Reference 12
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Observation 2d0f584f-db43-47d2-99b1-300683e365c1 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory B-spline CNNs on Lie groups
Reference 13
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Observation 3b05e403-b7ba-4218-8dc7-a36471543766 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Learning invariances in neural networks from training data
Reference 14
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Observation 0e9eeb3d-15f6-4a65-a0e1-fedf8f74e485 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Self-consistent dynamical field theory of kernel evolution in wide neural networks
Reference 15
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Observation e50e0573-5cba-4a0e-bc9d-a9210678dbab · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Spectrum dependent learning curves in kernel regression and wide neural networks
Reference 16
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Observation e272fc91-5c69-4621-b34a-9039f2b80bfc · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Addressing the topological defects of disentanglement via distributed operators
Reference 17
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Observation 96da175b-420c-4713-b59b-e016ae7ef9fd · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Does equivariance matter at scale? arXiv preprint, 2024
Reference 18
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Observation 499c2ec1-4b2d-481e-bc6e-799badd07225 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Bronstein, Joan Bruna, Taco Cohen, and Petar Veličković
Reference 19
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Observation d768c008-6a5d-4bc3-ae5c-f7d1d258c479 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Spectral bias and task-model alignment explain generalization in kernel regression and infinitely wide neural networks
Reference 20
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Unavailable: canonical work link unavailable.
Observation 48a8c98a-fe6f-4911-9e23-863d563e3596 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 21
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Observation 70946239-de03-44ce-8f5c-e466dce4f36c · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Deep reasoning networks for unsupervised pattern de-mixing with constraint reasoning
Reference 22
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Observation 0ec9fc66-3808-488e-ab94-cfdcaaa651e6 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Chirikjian and Alexander B
Reference 23
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Observation 88fc3fc9-047b-461e-994d-069fb865626a · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory On the global convergence of gradient descent for over-parameterized models using optimal transport
Reference 24
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Observation dc0861f8-fc1f-4d27-a6de-095db5a5fd20 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Lee, and Haim Sompolinsky
Reference 25
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Observation 071137f3-de76-4fe6-a274-d28a97866588 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Group equivariant convolutional networks
Reference 26
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Observation fc90508f-4520-47f7-81c2-8d494e80266c · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Gauge equivariant convolutional networks and the icosahedral CNN
Reference 27
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Observation f5a65aec-b11c-4ee6-9ed5-9e46b3307d5d · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory A general theory of equivariant CNNs on homogeneous spaces
Reference 28
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Observation a21444cd-1d35-4da7-9c00-67746377e1b1 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Lee, and Haim Sompolinsky
Reference 29
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Observation 02dc8cb6-3608-44b7-9a6c-06a28c7b70ba · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Representing closed transformation paths in encoded network latent space
Reference 30
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Observation 81e592d8-6352-40d7-bb82-09e61e0d54cc · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Learning internal representations of 3D transformations from 2D projected inputs
Reference 31
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Observation 50644a86-4e0f-4865-9aed-dbbe19a710b3 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Lagrangian neural networks
Reference 32
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Observation 39661d56-5209-4071-98e4-b6ce12648303 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Learning transport operators for image manifolds
Reference 33
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Observation f1434d68-a7c6-4439-8c75-c32c03290d1e · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Convit: Improving vision transformers with soft convolutional inductive biases
Reference 34
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Observation 69cfc71e-4f45-47aa-ba81-21367d9d25f5 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory An image is worth 16x16 words: Transformers for image recognition at scale
Reference 35
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Observation 6933842b-9869-4e98-b573-f4c3acc76ec2 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Equivariant neural rendering
Reference 36
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Observation 7faacdbd-3cb5-4062-a596-986632d5e222 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Revisiting spatial invariance with low-rank local connectivity
Reference 37
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Observation b778178d-7074-494e-b81d-c93aafad77d6 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Topological obstructions and how to avoid them
Reference 38
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Observation e23ba2ef-c138-4bdb-b16f-138f5d7c925e · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 39
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Observation b52e12f5-0558-41aa-ab0e-bcce490519b9 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Model-agnostic meta-learning for fast adaptation of deep networks
Reference 40
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Observation 141aa918-48d8-47bc-b3b9-e47c79d9e88a · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Generalizing convolutional neural networks for equivariance to Lie groups on arbitrary continuous data
Reference 41
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Observation 08cd933c-3592-4b7c-9cb3-fb5831346b0a · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Deep learning versus kernel learning: An empirical study of loss landscape geometry and the time evolution of the neural tangent kernel
Reference 42
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Observation 4ea684ac-23f3-48c5-8329-1e3cbcf65efb · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Learning and leveraging world models in visual representation learning
Reference 43
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Observation 8d3dcedc-36f1-49c9-8d8a-0281be431ec0 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Disentangling feature and lazy training in deep neural networks
Reference 44
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Observation 9ed99ced-16b8-4971-bd16-0b0996b914b4 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Deep symmetry networks
Reference 45
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Observation d4529b96-71c4-44fd-b418-00b8a7de4d3d · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Probing transfer learning with a model of synthetic correlated datasets
Reference 46
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Observation 3cbbbb5d-3ab6-4a63-937c-2e9c444d9a6d · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Emergent equivariance in deep ensembles
Reference 47
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Observation f8cd8354-3032-48f3-bf60-eb146502a683 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Modeling the influence of data structure on learning in neural networks: The hidden manifold model
Reference 48
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Observation b599b688-d227-43af-900f-b0f0626f1c9d · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Hamiltonian neural networks
Reference 49
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Observation 9a6d9353-23d1-4543-9ca4-6a869606a106 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 50
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Observation 8ecece21-3cdd-4fd2-8436-f46c9ad4e647 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory The Lie derivative for measuring learned equivariance
Reference 51
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Observation b9a0a97a-0600-4937-b243-d5d05e588cc0 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Dey, Soham Mukherjee, Shreyas N
Reference 52
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Observation 815c4505-2e9d-4901-b2d3-59c9b11de27f · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Towards a definition of disentangled representations
Reference 53
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Observation f2978702-18e4-4bf6-8d9a-141149d4b3e6 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Deep networks always grok and here is why
Reference 54
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Observation 7fcc629d-e6aa-408f-b9e8-eb0cf231a596 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Robust self-supervised learning with Lie groups
Reference 55
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Observation 4556e396-0d20-4b9c-b482-d070f6563b91 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Morcos, and Diane Bouchacourt
Reference 56
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Observation 09a727fe-3943-436c-ac1d-84573bf2343e · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory van der Ouderaa, Gunnar R\" a tsch, Vincent Fortuin, and Mark van der Wilk
Reference 57
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Neural tangent kernel: Convergence and generalization in neural networks
Reference 58
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Observation bd74e73f-0af2-424b-aa8b-60e95bfd9493 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory How DNN s break the curse of dimensionality: Compositionality and symmetry learning
Reference 59
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Spatial transformer networks
Reference 60
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Observation 01866553-d9b2-487c-adb3-e2c6dbb91b38 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Symmetry breaking and equivariant neural networks
Reference 61
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Observation ee3b96cd-c9a5-4b12-bc0c-3aa6681769bc · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Brown, Benjamin Chess, Rewon Child, Scott Gray, Alec Radford, Jeffrey Wu, and Dario Amodei
Reference 62
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Anderson Keller and Max Welling
Reference 63
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Observation 2470bf8f-2e36-4450-8b9f-930323e2e1d6 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Anderson Keller and Max Welling
Reference 64
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Observation c6f0bc1c-f20e-467b-a209-180cd8ff2e8c · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory The formation and transformation of the perceptual world
Reference 65
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Observation d6b6140d-01b2-4338-a11d-af73ea12f322 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory LeCun, L
Reference 66
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Deep neural networks as Gaussian processes
Reference 67
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory How diffusion models learn to factorize and compose
Reference 68
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory When does compositional structure yield compositional generalization? A kernel theory
Reference 69
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Observation e2b67b8d-4b50-446c-bdb0-63fedec4a090 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory When and how convolutional neural networks generalize to out-of-distribution category–viewpoint combinations
Reference 70
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Observation b17b9d4a-b8db-4e5e-8d31-d34f6e34ce2f · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory In-distribution adversarial attacks on object recognition models using gradient-free search
Reference 71
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Harmonics of learning: Universal fourier features emerge in invariant networks
Reference 72
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory A mean field view of the landscape of two-layer neural networks
Reference 73
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 74
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Symmetry-induced disentanglement on graphs
Reference 75
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Smeulders
Reference 76
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 77
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 78
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Observation ed5c878d-e734-474a-8c5f-4b693606672e · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Ensembles provably learn equivariance through data augmentation
Reference 79
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Observation 2b23169f-1bd2-471c-9808-037b0cb4ee58 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Alemi, Jascha Sohl-Dickstein, and Samuel S
Reference 80
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Observation 6ad189f5-450b-4aa8-94a9-5df3474beaf6 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory A comparison between humans and AI at recognizing objects in unusual poses
Reference 81
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Observation 3ffd66cc-a638-4f1b-99fc-c1be5766d393 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Neural anisotropy directions
Reference 82
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Observation bccb5c8b-6454-4338-904a-1a1442d060f2 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Breaking the symmetry: Mirror discrimination for single letters but not for pictures in the visual word form area
Reference 83
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Observation b5b40bb3-e882-479c-bcb4-8157ebd5d9a4 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Suppression of mirror generalization for reversible letters: Evidence from masked priming
Reference 84
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Observation 3a2752e8-3ca7-4c24-a364-23be8e72fe15 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Equivariant representation learning in the presence of stabilizers
Reference 85
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Observation 3c7aae7d-42f3-4fa8-ad14-4e2cb492545a · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Disentangling by subspace diffusion
Reference 86
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Observation 392be3de-9ca3-4a13-8de8-24c3893b2518 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Grokking: Generalization beyond overfitting on small algorithmic datasets
Reference 87
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Observation 88e0556c-2f73-4fd2-a0d3-0da4f872bd32 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Dynamic routing between capsules
Reference 88
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Observation a5d3e30a-6023-427a-8eb5-d251aeaa706a · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory An analytical theory of curriculum learning in teacher-student networks
Reference 89
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Observation b66a3000-6918-43eb-9358-f155a3b143c9 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Unresolved cited work
Reference 90
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Observation 86471740-040b-46c7-a0a1-eb0fe559e507 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Saxe, James L
Reference 91
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory u gelgen, Frederik Tr \
Reference 92
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Observation 88f7eaef-919d-4c94-9750-ad30d3b945cc · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Laion-5b: An open large-scale dataset for training next generation image-text models
Reference 93
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Observation 3d251193-8efe-4dd2-b8f8-5b4de7936c91 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory The pitfalls of simplicity bias in neural networks
Reference 94
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Observation 3c9cd70a-9721-4c37-9dcb-b80b16da5404 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Shepard and Jacqueline Metzler
Reference 95
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Observation dd9ebf38-52c4-45c4-a7fb-a27186c4b013 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Investigating the nature of 3D generalization in deep neural networks
Reference 96
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Observation b47681c1-84dd-460b-ad2c-8dcdd6723855 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Geometry of the loss landscape in overparameterized neural networks: Symmetries and invariances
Reference 97
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Observation fbb63719-a0b0-40a3-a35b-6d08b4968377 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Revisiting weakly supervised pre-training of visual perception models
Reference 98
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On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Olshausen
Reference 99
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Observation cbb9313d-fe76-4269-bc37-bd66043d67c3 · outbound
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory Neural representational geometry underlies few-shot concept learning
Reference 100
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Observation 3f9133f5-f80f-4161-9961-a5cfe9e9386c · inbound
Zero-Shot Visual Generalization in Robot Manipulation On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory
Reference 13
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