Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity | Paper Citation Record

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity SIAM Journal on Mathematics of Data Science , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Annals of Statistics , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity CSIAM Transactions on Applied Mathematics , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Calculus of Variations and Partial Differential Equations , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Conference on Learning Theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of the ACM (JACM) , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity University of California, Irvine , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity IEEE transactions on Information Theory , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity International Conference on Computational Learning Theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Advances in neural information processing systems , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity The Thirty Seventh Annual Conference on Learning Theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Machine Learning Research , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Constructive Approximation , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Machine Learning Research , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Applied and Computational Harmonic Analysis , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity , author=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Applied and Computational Harmonic Analysis , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Deep Networks are Reproducing Kernel Chains

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Proceedings of the American Mathematical Society , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity The universal approximation power of finite-width deep ReLU networks

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of machine learning research , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity International Conference on Learning Representations , year=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Representation Costs in Data Science: Foundations and the Quasi-Banach Spaces of Deep Neural Networks

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Advances in Neural Information Processing Systems , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 1991 , publisher=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Bulletin of the American Mathematical Society , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Studia Mathematica , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Proceedings of the American Mathematical Society , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Conference on Learning Theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity International Conference on Learning Representations , year=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Conference on learning theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2009 , publisher=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Advances in neural information processing systems , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Proceedings of the 58th Annual ACM Symposium on Theory of Computing , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Acta numerica , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Neural networks , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Applied and Computational Harmonic Analysis , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Conference on learning theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Advances in neural information processing systems , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity International Conference on Computational Learning Theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of machine learning research , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 1977 , publisher=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity , publisher =

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity IEEE Transactions on Information Theory , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Computer Intensive Methods in Control and Signal Processing: The Curse of Dimensionality , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Conference on learning theory , pages=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Machine Learning Research , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Acta Mathematica , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity International Conference on Learning Representations (ICLR 2020) , year=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity IEEE Transactions on Information Theory , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Machine Learning Research , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Foundations of Computational Mathematics , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Complexity, Statistical Risk, and Metric Entropy of Deep Nets Using Total Path Variation

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity arXiv preprint arXiv:2410.06378 , year=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Neural reproducing kernel Banach spaces and representer theorems for deep networks

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Functional Analysis , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Neural Networks , volume=

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Constructive Approximation , volume=

Reference 65

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 1999 , publisher=

Reference 66

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Oracle inequalities in empirical risk minimization and sparse recovery problems: Ecole D’Et

Reference 67

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation a632cd9b-2830-4ffb-a2d1-ae6df6f21148 · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Conference on learning theory , pages=

Reference 68

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Bulletin of the American Mathematical Society , volume=

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Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2014 , publisher=

Reference 70

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 14068184-168a-4073-8b51-cd5a4512173e · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of the London Mathematical Society , volume=

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Observation f265706c-5e4c-4fc5-9fde-39f9e471e7ed · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Annals of Statistics , pages=

Reference 72

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation a87b2c85-c26b-4085-99b8-2cbdcdb5e52f · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Israel Journal of Mathematics , volume=

Reference 73

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation c79b2ee1-d31b-4334-b9ca-6640bfcaa738 · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 1981 , publisher=

Reference 74

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 3fdbb005-b728-4218-985f-a98a644fd8ce · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Approximation Theory , volume=

Reference 75

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation f5578a20-06fb-4461-a493-be28ebe3d336 · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 1999 , publisher=

Reference 76

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 23a6b8b2-d564-42a9-b903-5b4a9dc1c7b9 · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity , year =

Reference 77

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 63ebbd19-bee6-42eb-a6d9-fe658e9dae68 · outbound

This paper cites 2018 , publisher=.

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2018 , publisher=

Reference 78

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2005 , publisher=

Reference 79

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation aa8584ca-cfec-403d-889f-ab0a9cd22850 · outbound

This paper cites 2006 , publisher=.

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2006 , publisher=

Reference 80

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation e79048e5-451f-47a3-bf1e-27f33b3b7e84 · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Advances in Neural Information Processing Systems , volume=

Reference 81

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 6913b2d9-2e28-4b04-bc89-547930ff2e01 · outbound

This paper cites Journal of Approximation Theory , volume=.

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Approximation Theory , volume=

Reference 82

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2000 , publisher=

Reference 83

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation c19a0d79-96ff-42a7-b124-619c3f8a9e29 · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2007 , publisher=

Reference 84

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation d93c01ec-4548-4f9d-9bb7-e532d65c59aa · outbound

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Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity 2017 , publisher=

Reference 85

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 8b2a1e9d-ac4c-4099-b75c-0714678dd05c · outbound

This paper cites Advances in neural information processing systems , volume=.

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Advances in neural information processing systems , volume=

Reference 86

Resolution: unresolved; no resolver link, observed 2026-07-11T06:01:25.773672Z

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Observation 29132d20-2c76-4628-9c5d-c8ae478fa1af · outbound

This paper cites Journal of Complexity , volume=.

Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity Journal of Complexity , volume=

Reference 87

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