Fetching the paper…
Reading the bibliography…
In statistical modeling with Gaussian Process regression, it has been shown that combining (few) high-fidelity data with (many) low-fidelity data can enhance prediction accuracy, compared to prediction based on the few high-fidelity data only.
Differentiable Manifolds
Whitney H · 1936
Earlier work this paper cites.
A quantitative description of membrane current and its application to conduction and excitation in nerve
Hodgkin AL, Huxley AF · 1952
Earlier work this paper cites.
Analyticity of the Solutions of Implicit Function Problems With Analytic Data
Nash J · 1966
Earlier work this paper cites.
Geometry from a Time Series
Packard NH, Crutchfield JP, Farmer JD, Shaw RS · 1980
Earlier work this paper cites.
Detecting strange attractors in turbulence
Takens F · 1981
Earlier work this paper cites.
Noise reduction: Finding the simplest dynamical system consistent with the data
Kostelich EJ, Yorke JA · 1990
Earlier work this paper cites.
Embedology
Sauer T, Yorke JA, Casdagli M · 1991
Earlier work this paper cites.
Determining embedding dimension for phase-space reconstruction using a geometrical construction
Kennel MB, Brown R, Abarbanel HD · 1992
Earlier work this paper cites.
Predicting the output from a complex computer code when fast approximations are available
Kennedy MC, O’Hagan A · 2000
Earlier work this paper cites.
Bayesian inference for non-stationary spatial covariance structure via spatial deformations
Schmidt AM, O’Hagan A · 2003
Earlier work this paper cites.
Reduced gradient methods and their relaton to reaction paths
Quapp W · 2003
Earlier work this paper cites.
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
Kevrekidis IG, Gear CW, Hyman JM, Kevrekidis PG, Runborg O, Theodoropoulos C · 2003
Earlier work this paper cites.
A statistical framework for genomic data fusion
Lanckriet GR, De Bie T, Cristianini N, Jordan MI, Noble WS · 2004
Earlier work this paper cites.
Nonstationary covariance functions for Gaussian process regression
Paciorek CJ, Schervish MJ · 2004
Cited alongside, same era.
Gaussian processes for machine learning
Rasmussen CE, Williams CKI · 2006
Cited alongside, same era.
Machine learning and its applications to biology
Tarca AL, Carey VJ, Chen Xw, Romero R, Drăghici S · 2007
Cited alongside, same era.
Non-linear independent component analysis with diffusion maps
Singer A, Coifman RR · 2008
Cited alongside, same era.
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps
Singer A, Erban R, Kevrekidis IG, Coifman RR · 2009
Cited alongside, same era.
http://github.com/SheffieldML/GPy
GPy. GPy: A Gaussian process framework in python; since 2012 · 2012
Cited alongside, same era.
Multi-fidelity modelling via recursive co-kriging and Gaussian–Markov random fields
Perdikaris P, Venturi D, Royset J, Karniadakis G · 2015
Later among the works it cites.
Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets
Perdikaris P, Venturi D, Karniadakis GE · 2016
Later among the works it cites.
Deep Multi-fidelity Gaussian Processes
Raissi M, Karniadakis G · 2016
Later among the works it cites.
Data-Driven Reduction for a Class of Multiscale Fast-Slow Stochastic Dynamical Systems
Dsilva CJ, Talmon R, Gear CW, Coifman RR, Kevrekidis IG · 2016
Later among the works it cites.
Synthesizing developmental trajectories
Villoutreix P, Andén J, Lim B, Lu H, Kevrekidis IG, Singer A, et al · 2017
Later among the works it cites.
A general CFD framework for fault-resilient simulations based on multi-resolution information fusion
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The Hodgkin–Huxley model–its extensions, analysis and numerics
Siciliano R · 2012
Cited alongside, same era.
Combination of similarity rankings using data fusion
Willett P · 2013
Cited alongside, same era.
Multi-fidelity Gaussian process regression for computer experiments
Le Gratiet L · 2013
Cited alongside, same era.
Interactive Knowledge Discovery and Data Mining in Biomedical Informatics: State-of-the-Art and Future Challenges. vol. 8401
Holzinger A, Jurisica I · 2014
Cited alongside, same era.
Recursive co-kriging model for design of computer experiments with multiple levels of fidelity
Le Gratiet L, Garnier J · 2014
Cited alongside, same era.
Nested variational compression in deep Gaussian processes
Hensman J, Lawrence ND · 2014
Cited alongside, same era.
Lee S, Kevrekidis IG, Karniadakis GE · 2017
Later among the works it cites.
A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion
Lee S, Kevrekidis IG, Karniadakis GE · 2017
Later among the works it cites.
Multi-fidelity Gaussian process regression for prediction of random fields
Parussini L, Venturi D, Perdikaris P, Karniadakis G · 2017
Later among the works it cites.
Nonlinear information fusion algorithms for data-efficient multi-fidelity modeling
Perdikaris P, Raissi M, Damianou A, Lawrence N, Karniadakis G · 2017
Later among the works it cites.
Manifold Learning for Bifurcation Diagram Observations
Dietrich F, Kooshkbaghi M, Bollt EM, Kevrekidis IG · 2018
Closest in time.
Neural-net-induced Gaussian process regression for function approximation and PDE solution
Pang G, Yang L, Karniadakis GE · 2018
Closest in time.
An Emergent Space for Distributed Data with Hidden Internal Order through Manifold Learning
Kemeth FP, Haugland SW, Dietrich F, Bertalan T, Hohlein K, Li Q, et al · 2018
Closest in time.