A Unifying Representer Theorem for Inverse Problems and Machine Learning

MultiDimensional Sparse Super-Resolution

(2019) Clarice Poon et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

(2019) Yuesheng Xu et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Regularized learning schemes in feature Banach spaces

(2018) Patrick L. Combettes et al.   Analysis and Applications

Continuous-Domain Solutions of Linear Inverse Problems With Tikhonov Versus Generalized TV Regularization

(2018) Harshit Gupta et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization

(2017) Michael Unser et al.   SIAM REVIEW

Representer Theorems for Sparsity-Promoting $\ell _{1}$ Regularization

(2016) Michael Unser et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Support Recovery for Sparse Super-Resolution of Positive Measures

(2016) Quentin Denoyelle et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Exact Support Recovery for Sparse Spikes Deconvolution

(2014) Vincent Duval et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Towards a Mathematical Theory of Super-resolution

(2013) Emmanuel J. Candès et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Super-Resolution from Noisy Data

(2013) Emmanuel J. Candès et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Vector-valued reproducing kernel Banach spaces with applications to multi-task learning

(2012) Haizhang Zhang et al.   JOURNAL OF COMPLEXITY

Regularized learning in Banach spaces as an optimization problem: representer theorems

(2010) Haizhang Zhang et al.   JOURNAL OF GLOBAL OPTIMIZATION

Semi-reproducing kernel Hilbert spaces, splines and increment kriging

(2009) A. M. Mosamam et al.   JOURNAL OF NONPARAMETRIC STATISTICS

From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images

(2009) Alfred M. Bruckstein et al.   SIAM REVIEW

Kernel methods in machine learning

(2008) Thomas Hofmann et al.   ANNALS OF STATISTICS

Kernels, regularization and differential equations

(2008) Florian Steinke et al.   PATTERN RECOGNITION