Fetching the paper…
Reading the bibliography…
Quasi-Monte Carlo (QMC) methods are being adopted in statistical applications due to the increasingly challenging nature of numerical integrals that are now routinely encountered.
Testing multidimensional integration routines
A. Genz · 1984
Earlier work this paper cites.
Deterministic and stochastic error bounds in numerical analysis
E. Novak · 1988
Earlier work this paper cites.
Bayes-Hermite quadrature
A. O’Hagan · 1991
Earlier work this paper cites.
Random approximation in numerical analysis
S. Heinrich · 1994
Earlier work this paper cites.
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
H. Wendland · 1995
Earlier work this paper cites.
Computational investigations of low-discrepancy sequences
L. Kocis and W.J. Whiten · 1997
Earlier work this paper cites.
On the L2-discrepancy for Anchored Boxes
J. Matoušek · 1998
Earlier work this paper cites.
Locally weighted projection regression: An O(n) algorithm for incremental real time learning in high dimensional space
S. Vijayakumar and S. Schaal · 2000
Earlier work this paper cites.
Control variates for quasi-Monte Carlo
F.J. Hickernell, C. Lemieux, and A.B. Owen · 2005
Earlier work this paper cites.
Gaussian processes for machine learning
C.E. Rasmussen and C.K.I. Williams · 2006
Earlier work this paper cites.
Kernel techniques: from machine learning to meshless methods
R. Schaback and H. Wendland · 2006
Earlier work this paper cites.
Meshfree approximation methods with MATLAB
G.F. Fasshauer · 2007
Earlier work this paper cites.
An introduction to exponential random graph (p*) models for social networks
G. Robins, P. Pattison, Y. Kalish, and D. Lusher · 2007
Cited alongside, same era.
A Hilbert space embedding for distributions
A. Smola, A. Gretton, L. Song, and B. Schölkopf · 2007
Cited alongside, same era.
Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross
W. Sickel and T. Ullrich · 2009
Cited alongside, same era.
Discrepancy theory and quasi-Monte Carlo integration
J. Dick and F. Pillichshammer · 2010
Cited alongside, same era.
Tractability of Multivariate Problems: Standard information for functionals
E. Novak and H. Woźniakowski · 2010
Cited alongside, same era.
Higher order scrambled digital nets achieve the optimal rate of the root mean square error for smooth integrands
J. Dick · 2011
Probabilistic ODE solvers with Runge-Kutta means
M. Schober, D.K. Duvenaud, and P. Hennig · 2014
Later among the works it cites.
Quasi-Monte Carlo feature maps for shift-invariant kernels
J. Yang, V. Sindhwani, H. Avron, and M. Mahoney · 2014
Later among the works it cites.
Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality
C. Aistleitner and J. Dick · 2015
Closest in time.
On the equivalence between quadrature rules and random features
F. Bach · 2015
Closest in time.
On the approximate calculation of multiple integrals
N.S. Bakhvalov · 2015
Closest in time.
Sequential Quasi-Monte Carlo
M. Gerber and N. Chopin · 2015
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Optimally-Weighted Herding is Bayesian Quadrature
F. Huszár and D. Duvenaud · 2012
Cited alongside, same era.
Enhancing Quasi-Monte Carlo Methods by Exploiting Additive Approximation for Problems in Finance
X. Wang · 2012
Cited alongside, same era.
High-dimensional integration: The quasi-Monte Carlo way
J. Dick, F.Y. Kuo, and I.H. Sloan · 2013
Cited alongside, same era.
Using Supervised Learning to Improve Monte Carlo Integral Estimation
B. Tracey, D. Wolpert, and J.J. Alonso · 2013
Cited alongside, same era.
Pseudo-Marginal Bayesian Inference for Gaussian Processes
M. Filippone and M. Girolami · 2014
Cited alongside, same era.
Probabilistic Meshless Methods for Bayesian Inverse Problems
J. Cockayne, C.J. Oates, T. Sullivan and M. Girolami
Cited in the paper.
Sequential Kernel Herding: Frank-Wolfe Optimization for Particle Filtering
S. Lacoste-Julien, F. Lindsten, and F. Bach · 2015
Closest in time.
A constraint on extensible quadrature rules
A.B. Owen · 2015
Closest in time.
Probabilistic Integration: A Role for Statisticians in Numerical Analysis?
F.X. Briol, C.J. Oates, M. Girolami, M. Osborne and D. Sejdinovic · 2016
Closest in time.
The Controlled Thermodynamic Integral for Bayesian Model Evidence Evaluation
C.J. Oates, T. Papamarkou and M. Girolami · 2016
Closest in time.
Control Functionals for Monte Carlo Integration
C.J. Oates, M. Girolami, and N. Chopin · 2016
Closest in time.