36 citations · 42 across the 8 of their papers we have counts for
8 papers
Approximation by linear combinations of translates of a single function
Dinh Dũng, Vu Nhat Huy
We study approximation by arbitrary linear combinations of translates of a single function of periodic functions. We construct some linear methods of this approximation for uni…
Approximation by translates of a single function of functions in space induced by the convolution with a given function
Dinh Dũng, Charles A. Micchelli, Vu Nhat Huy
We study approximation by arbitrary linear combinations of translates of a single function of periodic functions. We construct some methods of this approximation for functions…
Learning with Optimal Interpolation Norms
Patrick L. Combettes, Andrew M. McDonald, Charles A. Micchelli +1
We analyze a class of norms defined via an optimal interpolation problem involving the composition of norms and a linear operator. This construction, known as infimal postcompositi…
On Sparsity Inducing Regularization Methods for Machine Learning
Andreas Argyriou, Luca Baldassarre, Charles A. Micchelli +1
During the past years there has been an explosion of interest in learning methods based on sparsity regularization. In this paper, we discuss a general class of such methods, in wh…
Multivariate approximation by translates of the Korobov function on Smolyak grids
Dinh Dung, Charles Micchelli
For a set $\mathbb{W} \subset L_p(\bT^d)$, , of multivariate periodic functions on the torus $\bT^d$ and a given function $φ\in L_p(\bT^d)$, we study the approximat…
Efficient First Order Methods for Linear Composite Regularizers
Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil +2
A wide class of regularization problems in machine learning and statistics employ a regularization term which is obtained by composing a simple convex function ωwith a linear trans…