Fetching the paper…
Reading the bibliography…
For any ReLU network there is a representation in which the sum of the absolute values of the weights into each node is exactly $1$, and the input layer variables are multiplied by a value $V$ coinciding with the total variation of the path weights.
Approximation dans les espaces métriques et théorie de l’estimation
Lucien Birgé · 1983
Earlier work this paper cites.
Statistical learning networks: A unifying view
Andrew R Barron and Roger L Barron · 1988
Earlier work this paper cites.
Complexity regularization with application to artificial neural networks
Andrew R Barron · 1991
Earlier work this paper cites.
Probability in Banach Spaces: Isoperimetry and Processes , volume 23
Michel Ledoux and Michel Talagrand · 1991
Earlier work this paper cites.
Approximation and estimation bounds for artificial neural networks
Andrew R Barron · 1994
Earlier work this paper cites.
Risk bounds for model selection via penalization
Andrew R Barron, Lucien Birgé, and Pascal Massart · 1999
Earlier work this paper cites.
Information-theoretic determination of minimax rates of convergence
Yuhong Yang and Andrew R Barron · 1999
Earlier work this paper cites.
Some comparisons for gaussian processes
Richard Vitale · 2000
Cited alongside, same era.
Rademacher and gaussian complexities: Risk bounds and structural results
Peter L Bartlett and Shahar Mendelson · 2002
Cited alongside, same era.
Introduction to nonparametric estimation
Alexandre B. Tsybakov · 2004
Cited alongside, same era.
Approximation and learning by greedy algorithms
Andrew R Barron, Albert Cohen, Wolfgang Dahmen, and Ronald A. DeVore · 2008
Cited alongside, same era.
Risk of penalized least squares, greedy selection and ℓ 1 \ell_{1} penalization for flexible function libraries
Cong Huang, G. LH Cheang, and Andrew R Barron · 2008
Cited alongside, same era.
Understanding machine learning: From theory to algorithms
Shai Shalev-Shwartz and Shai Ben-David · 2014
Cited alongside, same era.
Norm-based capacity control in neural networks
Behnam Neyshabur, Ryota Tomioka, and Nathan Srebro · 2015
Later among the works it cites.
Risk bounds for high-dimensional ridge function combinations including neural networks
Jason M Klusowski and Andrew R Barron · 2016
Later among the works it cites.
Spectrally-normalized margin bounds for neural networks
Peter L Bartlett, Dylan J Foster, and Matus J Telgarsky · 2017
Later among the works it cites.
Approximation and estimation for high-dimensional deep learning networks
Andrew R Barron and Jason M Klusowski · 2018
Later among the works it cites.
A priori estimates of the generalization error for two-layer neural networks
Weinan E, Chao Ma, and Lei Wu · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Size-independent sample complexity of neural networks
Noah Golowich, Alexander Rakhlin, and Ohad Shamir · 2018
Later among the works it cites.