notesum.ai

Published at November 25

Batch Bayesian Optimization via Expected Subspace Improvement

cs.AI

cs.NE

Released Date: November 25, 2024

Authors: Dawei Zhan¹, Zhaoxi Zeng¹, Shuoxiao Wei¹, Ping Wu¹

Aff.: ¹Not specified

Arxiv: http://arxiv.org/abs/2411.16206v1

$f$	EI	ESSI
$f$	EI	$q=2$	$q=4$	$q=8$	$q=16$	$q=32$	$q=64$
$f_{1}$	1.10E+10	3.71E+08 $+$	3.46E+08 $+$	3.58E+08 $+$	4.08E+08 $+$	6.26E+08 $+$	1.07E+09 $+$
$f_{3}$	1.13E+06	1.28E+06 $\approx$	1.29E+06 $\approx$	1.02E+06 $\approx$	1.21E+06 $\approx$	3.14E+06 $-$	1.29E+06 $\approx$
$f_{4}$	1.35E+04	4.05E+03 $+$	4.05E+03 $+$	4.08E+03 $+$	4.44E+03 $+$	4.82E+03 $+$	5.46E+03 $+$
$f_{5}$	1.60E+03	1.23E+03 $+$	1.26E+03 $+$	1.32E+03 $+$	1.41E+03 $+$	1.48E+03 $+$	1.55E+03 $+$
$f_{6}$	6.63E+02	6.56E+02 $+$	6.55E+02 $+$	6.54E+02 $+$	6.50E+02 $+$	6.48E+02 $+$	6.46E+02 $+$
$f_{7}$	2.23E+03	2.47E+03 $-$	2.44E+03 $-$	2.39E+03 $-$	2.32E+03 $-$	2.27E+03 $\approx$	2.29E+03 $-$
$f_{8}$	1.90E+03	1.59E+03 $+$	1.65E+03 $+$	1.71E+03 $+$	1.77E+03 $+$	1.79E+03 $+$	1.84E+03 $+$
$f_{9}$	4.07E+04	4.44E+04 $\approx$	4.14E+04 $\approx$	4.01E+04 $\approx$	4.00E+04 $\approx$	3.56E+04 $+$	3.66E+04 $+$
$f_{10}$	3.44E+04	2.15E+04 $+$	2.19E+04 $+$	2.16E+04 $+$	2.16E+04 $+$	2.19E+04 $+$	2.31E+04 $+$
$f_{11}$	4.64E+05	3.82E+05 $+$	3.73E+05 $+$	3.82E+05 $+$	3.65E+05 $+$	3.51E+05 $+$	3.59E+05 $+$
$f_{12}$	1.41E+10	1.92E+09 $+$	1.84E+09 $+$	1.85E+09 $+$	2.47E+09 $+$	2.20E+09 $+$	3.26E+09 $+$
$f_{13}$	3.81E+09	6.64E+08 $+$	6.66E+08 $+$	7.63E+08 $+$	9.54E+08 $+$	1.30E+09 $+$	1.08E+09 $+$
$f_{14}$	7.87E+07	6.38E+07 $+$	6.48E+07 $+$	7.01E+07 $\approx$	6.00E+07 $+$	7.48E+07 $\approx$	7.67E+07 $\approx$
$f_{15}$	3.61E+09	9.88E+08 $+$	8.01E+08 $+$	7.64E+08 $+$	1.02E+09 $+$	7.13E+08 $+$	7.46E+08 $+$
$f_{16}$	1.24E+04	1.14E+04 $+$	1.12E+04 $+$	1.15E+04 $+$	1.14E+04 $+$	1.15E+04 $+$	1.16E+04 $+$
$f_{17}$	5.80E+05	1.18E+05 $+$	1.57E+05 $+$	1.16E+05 $+$	1.40E+05 $+$	1.37E+05 $+$	2.02E+05 $+$
$f_{18}$	1.15E+08	7.39E+07 $+$	6.60E+07 $+$	7.63E+07 $+$	9.71E+07 $\approx$	9.18E+07 $+$	8.64E+07 $+$
$f_{19}$	2.95E+09	1.42E+09 $+$	1.22E+09 $+$	1.24E+09 $+$	1.14E+09 $+$	8.77E+08 $+$	8.49E+08 $+$
$f_{20}$	8.78E+03	6.86E+03 $+$	6.79E+03 $+$	6.62E+03 $+$	6.76E+03 $+$	6.79E+03 $+$	6.94E+03 $+$
$f_{21}$	3.56E+03	3.50E+03 $+$	3.50E+03 $+$	3.53E+03 $\approx$	3.52E+03 $+$	3.54E+03 $\approx$	3.57E+03 $\approx$
$f_{22}$	3.70E+04	2.41E+04 $+$	2.38E+04 $+$	2.41E+04 $+$	2.42E+04 $+$	2.40E+04 $+$	2.55E+04 $+$
$f_{23}$	4.14E+03	4.02E+03 $+$	3.98E+03 $+$	4.00E+03 $+$	4.00E+03 $+$	4.04E+03 $+$	4.07E+03 $+$
$f_{24}$	4.58E+03	4.52E+03 $+$	4.50E+03 $+$	4.49E+03 $+$	4.49E+03 $+$	4.49E+03 $+$	4.52E+03 $+$
$f_{25}$	1.17E+04	6.08E+03 $+$	6.17E+03 $+$	6.17E+03 $+$	6.35E+03 $+$	6.65E+03 $+$	7.16E+03 $+$
$f_{26}$	2.18E+04	1.98E+04 $+$	1.98E+04 $+$	1.97E+04 $+$	1.95E+04 $+$	1.96E+04 $+$	2.01E+04 $+$
$f_{27}$	4.52E+03	3.92E+03 $+$	3.89E+03 $+$	3.92E+03 $+$	3.96E+03 $+$	4.05E+03 $+$	4.15E+03 $+$
$f_{28}$	1.46E+04	6.54E+03 $+$	6.63E+03 $+$	6.89E+03 $+$	7.28E+03 $+$	8.23E+03 $+$	9.80E+03 $+$
$f_{29}$	3.97E+05	8.25E+04 $+$	1.29E+05 $+$	1.10E+05 $+$	1.07E+05 $+$	1.16E+05 $+$	1.67E+05 $+$
$f_{30}$	8.04E+09	3.54E+09 $+$	3.31E+09 $+$	3.00E+09 $+$	2.70E+09 $+$	2.12E+09 $+$	2.16E+09 $+$
$+$ / $\approx$ / $-$	N.A.	26/2/1	26/2/1	24/4/1	25/3/1	25/3/1	25/3/1