Ramiz Qudsi
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Gaussian Process Regression for Magnetic Field Reconstruction
Ramiz A. Qudsi
Dept. of Phys. and Astronomy, University of Delaware, DE, USA
ahmadr@udel.edu
Some relevant scales:
d_i \mathrm{(1AU)} \sim 100 ~\mathrm{km} \\
V_{sw} \sim 500 ~\mathrm{km/sec} \\
X_{sim} \mathrm{(box size)} \sim 40 d_i\\
\hspace{3.1cm}\sim 4\times 10^3 \mathrm{km}\\
d_{spc} \sim [1, 10]~d_i\\
\hspace{1.2cm}\sim \mathrm{ [10^2, 10^3]~ km} \\
f[min,max] \sim V_{sw}/(2\times d_{spc, max, min}) \\
\hspace{0.8cm}\sim [0.25, 2.5]~\mathrm{Hz}\\
\nu (\mathrm{sampling~rate}) \sim 40 \mathrm{Hz}\\
\mathrm{(just~because~of~box~size~and~stuff)}\\
\mathrm{time~to~move~across~the~simulation~box} \sim 10 ~\mathrm{sec}
Hub
Spacecrafts
Spacecraft
Gaussian Process Regression Interpolation
Original Data
CK+RBF
RBF
16 Spacecrafts
Hub
Spacecrafts
Hub
Spacecrafts
\rm{Spacecraft}
22\,d_{\rm i}
22\,d_{\rm i}
22\,d_{\rm i}
22\,d_{\rm i}
\rm(a)
\rm(b)
Original Data
RBF (16 spc)
RBF (25 spc)
Simulation
16 spc, RBF
25 spc, RBF
Simulation
RBF (3D)
Original
ck_RQ
ck_Matern
RBF
Original
ck_RQ
ck_Matern
RBF
Original
ck_RQ
ck_Matern
RBF
Original
ck_RQ
ck_Matern
RBF
8 spc
16 spc
24,34 spc
Error Analysis
(kind of)
Distribution of x-component of field
4 spc
8 spc
16 spc
32 spc
24 spc
Distribution of y-component of field
4 spc
8 spc
16 spc
32 spc
24 spc
Distribution of z-component of field
4 spc
8 spc
16 spc
32 spc
24 spc
Distribution of magnitude of field
4 spc
8 spc
16 spc
32 spc
24 spc
Distribution of divergence of field
4 spc
8 spc
16 spc
32 spc
24 spc
Distribution of error in x-component of B
Distribution of error in y-component of B
Distribution of error in z-component of B
Distribution of error in B
Gaussian Processes: Notes
SIMPEXs
By Ramiz Qudsi
