Stable parameterization of continuous and piecewise-linear functions

Stabilizing Invertible Neural Networks Using Mixture Models

(2021) Paul Lyonel Hagemann et al.   INVERSE PROBLEMS

Relu Deep Neural Networks and Linear Finite Elements

(2020) Juncai He sci   JOURNAL OF COMPUTATIONAL MATHEMATICS

The Delaunay triangulation learner and its ensembles

(2020) Yehong Liu et al.   COMPUTATIONAL STATISTICS & DATA ANALYSIS

Regularisation of neural networks by enforcing Lipschitz continuity

(2020) Henry Gouk et al.   MACHINE LEARNING

On Lipschitz Bounds of General Convolutional Neural Networks

(2019) Dongmian Zou et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Robust Large Margin Deep Neural Networks

(2017) Jure Sokolic et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Deep vs. shallow networks: An approximation theory perspective

(2016) H. N. Mhaskar et al.   Analysis and Applications

Locally piecewise affine functions and their order structure

(2016) S. Adeeb et al.   POSITIVITY

Deep learning

(2015) Yann LeCun et al.   NATURE

Conditioning of finite element equations with arbitrary anisotropic meshes

(2014) Lennard Kamenski et al.   MATHEMATICS OF COMPUTATION

Riesz bases of wavelets and applications to numerical solutions of elliptic equations

(2011) Rong-Qing Jia et al.   MATHEMATICS OF COMPUTATION

Symmetric box-splines on the An∗ lattice

(2010) Minho Kim et al.   JOURNAL OF APPROXIMATION THEORY

How to integrate a polynomial over a simplex

(2010) Velleda Baldoni et al.   MATHEMATICS OF COMPUTATION

Box Spline Reconstruction On The Face-Centered Cubic Lattice

(2008) Minho Kim et al.   IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS