Fetching the paper…
Reading the bibliography…
We consider the global minimization of smooth functions based solely on function evaluations.
Theory of reproducing kernels
Nachman Aronszajn · 1950
Earlier work this paper cites.
On optimum minimization algorithms in classes of differentiable functions
Viktor V Ivanov · 1971
Earlier work this paper cites.
Linear Operators in Hilbert Spaces
Joachim Weidmann · 1980
Earlier work this paper cites.
Random Number Generation and Quasi-Monte Carlo Methods
Harald Niederreiter · 1992
Earlier work this paper cites.
Superposition of functions in sobolev spaces of fractional order. a survey
Winfried Sickel · 1992
Earlier work this paper cites.
Global optimization with polynomials and the problem of moments
Jean-Bernard Lasserre · 2001
Earlier work this paper cites.
Sobolev Spaces
Robert A. Adams and John J. F. Fournier · 2003
Earlier work this paper cites.
Refined error estimates for radial basis function interpolation
Francis J Narcowich, Joseph D Ward, and Holger Wendland · 2003
Earlier work this paper cites.
Random geometric graphs
Mathew Penrose et al · 2003
Earlier work this paper cites.
Scattered Data Approximation
Holger Wendland · 2004
Earlier work this paper cites.
Convex Optimization
Stephen P. Boyd and Lieven Vandenberghe · 2004
Earlier work this paper cites.
Interior point polynomial time methods in convex programming
Arkadi Nemirovski · 2004
Earlier work this paper cites.
Deterministic and Stochastic Error Bounds in Numerical Analysis
Erich Novak · 2006
Earlier work this paper cites.
A sum of squares approximation of nonnegative polynomials
Jean-Bernard Lasserre · 2007
Cited alongside, same era.
The Mathematical Theory of Finite Element Methods
Susanne Brenner and Ridgway Scott · 2007
Cited alongside, same era.
Tractability of Multivariate Problems: Standard Information for Functionals
Erich Novak and Henryk Woźniakowski · 2008
Cited alongside, same era.
Support Vector Machines
Ingo Steinwart and Andreas Christmann · 2008
Cited alongside, same era.
Derivative reproducing properties for kernel methods in learning theory
Ding-Xuan Zhou · 2008
Cited alongside, same era.
Gaussian processes for global optimization
Michael A. Osborne, Roman Garnett, and Stephen J. Roberts · 2009
Cited alongside, same era.
Sharp analysis of low-rank kernel matrix approximations
Francis Bach · 2013
Later among the works it cites.
Matrix Analysis
Rajendra Bhatia · 2013
Later among the works it cites.
Less is more: Nyström computational regularization
Alessandro Rudi, Raffaello Camoriano, and Lorenzo Rosasco · 2015
Later among the works it cites.
The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis
Lars Hörmander · 2015
Later among the works it cites.
An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
Vern I. Paulsen and Mrinal Raghupathi · 2016
Later among the works it cites.
Breaking the curse of dimensionality with convex neural networks
Francis Bach · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Sums of squares, moment matrices and optimization over polynomials
Monique Laurent · 2009
Cited alongside, same era.
A Course in Approximation Theory
Elliott Ward Cheney and William Allan Light · 2009
Cited alongside, same era.
Moments, Positive Polynomials and their Applications
Jean-Bernard Lasserre · 2010
Cited alongside, same era.
NIST Handbook of Mathematical Functions
Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, and Charles W. Clark · 2010
Cited alongside, same era.
Reproducing Kernel Hilbert Spaces in Probability and Statistics
Alain Berlinet and Christine Thomas-Agnan · 2011
Cited alongside, same era.
A new look at nonnegativity on closed sets and polynomial optimization
Jean-Bernard Lasserre · 2011
Cited alongside, same era.
Generalization properties of learning with random features
Alessandro Rudi and Lorenzo Rosasco · 2017
Later among the works it cites.
On the equivalence between kernel quadrature rules and random feature expansions
Francis Bach · 2017
Later among the works it cites.
A Taylor expansion of the square root matrix function
P. Del Moral and A. Niclas · 2018
Later among the works it cites.
Semi-algebraic approximation using Christoffel-Darboux kernel
Swann Marx, Edouard Pauwels, Tillmann Weisser, Didier Henrion, and Jean Lasserre · 2019
Later among the works it cites.
Non-parametric models for non-negative functions
Ulysse Marteau-Ferey, Francis Bach, and Alessandro Rudi · 2020
Closest in time.
Near-optimal analysis of Lasserre’s univariate measure-based bounds for multivariate polynomial optimization
Lucas Slot and Monique Laurent · 2020
Closest in time.