Table 1: Average Log-likelihoods over all context and target points on realizations from Synthetic Stochastic Process on the different percent of added noise. Here we set the context size to 20. (Mean ± Std). Note that adding 'S' before the original model name is a model with our stable solution.
Kernel	Method	Original	Noise(+5%)	Noise(+10%)	Noise(+15%)
context	target	context	target	context	target	context	target
RBF	CNP	0.8724±0.008	0.4334±0.007	0.8522±0.005	0.4001±0.010	0.8014±0.006	0.3552±0.004	0.7152±0.006	0.2853±0.005
BCNP	0.9042±0.009	0.4589±0.006	0.8774±0.006	0.4278±0.008	0.8316±0.006	0.3767±0.005	0.7487±0.007	0.3017±0.006
SCNP	0.9255±0.008	0.4733±0.004	0.8935±0.005	0.4478±0.006	0.8517±0.004	0.3986±0.005	0.7621±0.005	0.3279±0.006
NP	0.8215±0.004	0.3853±0.005	0.8011±0.004	0.3511±0.006	0.7611±0.005	0.3042±0.008	0.6722±0.005	0.2435±0.007
BNP	0.8722±0.004	0.4211±0.004	0.8321±0.003	0.3876±0.004	0.7922±0.004	0.3389±0.005	0.7189±0.004	0.2776±0.007
SNP	0.8955±0.003	0.4356±0.004	0.8567±0.003	0.4046±0.005	0.8165±0.004	0.3568±0.006	0.7356±0.005	0.2955±0.006
ANP	1.2563±0.002	0.5763±0.004	1.2245±0.007	0.5347±0.006	0.1742±0.005	0.4871±0.007	0.9821±0.005	0.4151±0.004
BANP	1.2722±0.004	0.5887±0.006	1.2411±0.005	0.5471±0.005	0.1886±0.006	0.4917±0.006	1.0642±0.006	0.4327±0.005
SANP	1.2831±0.000	0.5994±0.004	1.2564±0.004	0.5578±0.004	1.2052±0.004	0.5025±0.006	1.1243±0.005	0.4356±0.006
ConvCNP	1.2631±0.002	0.6421±0.002	1.2333±0.005	0.5415±0.005	0.1827±0.004	0.4936±0.005	1.0241±0.006	0.4262±0.005
BConvCNP	1.2761±0.004	0.6531±0.005	1.2476±0.004	0.5533±0.004	0.1931±0.007	0.4986±0.005	1.0716±0.006	0.4396±0.005
SCConvCNP	1.3991±0.001	0.6793±0.004	1.2651±0.003	0.5623±0.005	1.2126±0.004	0.5096±0.005	1.1331±0.006	0.4461±0.005
ConvNP	1.2874±0.003	0.6503±0.004	1.2371±0.006	0.5451±0.006	0.1865±0.004	0.4965±0.006	0.9915±0.005	0.4335±0.006
BConvNP	1.2922±0.004	0.6627±0.006	1.2505±0.006	0.5583±0.004	0.1971±0.005	0.5025±0.007	1.0731±0.006	0.4436±0.004
SCConvNP	1.4036±0.002	0.6831±0.003	1.2671±0.005	0.5675±0.004	1.2188±0.003	0.5157±0.005	1.1389±0.004	0.4505±0.005
Matern	CNP	0.8531±0.005	0.2431±0.010	0.8231±0.005	0.2144±0.010	0.7761±0.008	0.1784±0.007	0.7052±0.005	0.1452±0.006
BCNP	0.8778±0.005	0.2762±0.009	0.8487±0.006	0.2477±0.009	0.8015±0.007	0.2051±0.007	0.7378±0.005	0.1766±0.006
SCNP	0.8963±0.003	0.2953±0.006	0.8689±0.005	0.2658±0.007	0.8268±0.006	0.2258±0.006	0.7567±0.004	0.1936±0.005
NP	0.7643±0.015	0.2041±0.015	0.7342±0.002	0.1725±0.008	0.6892±0.004	0.1542±0.006	0.6235±0.008	0.1342±0.007
BNP	0.8156±0.005	0.2689±0.007	0.7789±0.004	0.2215±0.005	0.7421±0.005	0.2117±0.007	0.6715±0.006	0.1828±0.006
SNP	0.8368±0.006	0.2844±0.005	0.8036±0.003	0.2483±0.003	0.7635±0.004	0.2325±0.006	0.6973±0.006	0.2016±0.005
ANP	1.2421±0.002	0.6366±0.004	1.2115±0.001	0.6001±0.008	1.1784±0.004	0.1622±0.006	1.1252±0.007	0.5274±0.008
BANP	1.3456±0.003	0.6514±0.005	1.3125±0.005	0.6115±0.002	1.2672±0.004	0.1711±0.005	1.2236±0.006	0.5306±0.006
SANP	1.3721±0.002	0.6653±0.004	1.3461±0.003	0.6256±0.004	1.3011±0.003	0.1782±0.004	1.2457±0.005	0.5356±0.002
ConvCNP	1.2515±0.003	0.6418±0.004	1.2226±0.006	0.6085±0.005	1.1832±0.005	0.1871±0.007	1.1326±0.005	0.5351±0.004
BConvCNP	1.3527±0.005	0.6616±0.006	1.3252±0.005	0.6235±0.007	1.2767±0.006	0.1952±0.005	1.1315±0.006	0.5417±0.006
SCConvCNP	1.3852±0.003	0.6731±0.004	1.3364±0.004	0.6335±0.005	1.2831±0.003	0.2037±0.005	1.1521±0.005	0.5557±0.004
ConvNP	1.2746±0.002	0.6557±0.005	1.2345±0.007	0.6015±0.005	1.1865±0.006	0.1943±0.005	1.1358±0.005	0.5397±0.003
BConvNP	1.3356±0.004	0.6787±0.006	1.3305±0.005	0.6383±0.006	1.2851±0.005	0.2015±0.005	1.1415±0.006	0.5338±0.003
SCConvNP	1.3878±0.002	0.6836±0.004	1.3435±0.005	0.6417±0.004	1.2866±0.004	0.2025±0.005	1.1521±0.005	0.5363±0.006