Leaderboard | Flow Arena

Matrix view

One row per (model · loss variant) against all 12 datasets. Cell colour scales with test rel-L² (lighter is better). Click any dataset column to sort by that cell; click Avg to sort by row mean.

Field

Cell = test rel-L²; lower is better

Model · Loss	Avg▲	Channels NF		Channels ZT		Channels VT		Geostat NF		Geostat ZT		Geostat VT
Model · Loss	Avg▲	BHP	RATE	BHP	RATE	BHP	RATE	BHP	RATE	BHP	RATE	BHP	RATE
UNet3DMSE	0.2012	0.177	0.209	0.223	0.246	0.238	0.260	0.148	0.155	0.189	0.185	0.194	0.189
UNet3DAbsLp(p=2)	0.2031	0.172	0.210	0.223	0.246	0.251	0.267	0.147	0.144	0.190	0.185	0.202	0.201
SegResNetAbsLp(p=2)	0.2123	0.194	0.220	0.252	0.271	0.261	0.266	0.151	0.150	0.196	0.191	0.199	0.196
SegResNetMSE	0.2189	0.204	0.229	0.260	0.275	0.259	0.271	0.164	0.163	0.201	0.195	0.204	0.201
SwinUNETRAbsLp(p=2)	0.2872	0.259	0.286	0.361	0.376	0.357	0.367	0.188	0.188	0.271	0.252	0.275	0.266
SwinUNETRMSE	0.2945	0.271	0.294	0.361	0.368	0.365	0.376	0.201	0.201	0.275	0.260	0.281	0.280
FNO3DAbsLp(p=2)	0.3548	0.306	0.351	0.408	0.433	0.471	0.482	0.221	0.218	0.308	0.322	0.364	0.374
FNO3DMSE	0.3606	0.312	0.356	0.412	0.430	0.479	0.489	0.234	0.241	0.310	0.321	0.363	0.379

Flow Arena results

Lower error metrics are better. Click any column heading to sort.

Property

Fault

Control

Loss

100 results

					Sat (frac)			Pres (bar)
#	Dataset	Model	Loss	Epochs	rel-L²▲	MRE	MAE	rel-L²	MRE	MAE	Params
1	Geostat NF RATE	UNet3D	AbsLp(p=2)	200	0.1436	0.2628	0.038677	0.0302	0.0260	5.741697	20.8M
2	Geostat NF BHP	UNet3D	AbsLp(p=2)	200	0.1470	0.2833	0.036387	0.0219	0.0184	4.658811	20.8M
3	Geostat NF BHP	UNet3D	MSE	200	0.1478	0.2761	0.035909	0.0228	0.0192	4.851583	20.8M
4	Geostat NF RATE	SegResNet	AbsLp(p=2)	200	0.1505	0.2850	0.037936	0.0310	0.0264	5.822663	18.8M
5	Geostat NF BHP	SegResNet	AbsLp(p=2)	200	0.1512	0.2708	0.037070	0.0247	0.0211	5.403234	18.8M
6	Geostat NF RATE	UNet3D	MSE	200	0.1555	0.3080	0.039246	0.0313	0.0264	5.805879	20.8M
7	Geostat NF RATE	SegResNet	MSE	200	0.1625	0.3186	0.038700	0.0333	0.0278	6.039331	18.8M
8	Geostat NF BHP	SegResNet	MSE	200	0.1644	0.3321	0.039321	0.0259	0.0219	5.525085	18.8M
9	Channels NF BHP	UNet3D	AbsLp(p=2)	200	0.1722	0.3236	0.048437	0.0267	0.0220	5.438548	20.8M
10	Channels NF BHP	UNet3D	MSE	200	0.1766	0.3465	0.048261	0.0266	0.0217	5.393267	20.8M
11	Geostat ZT RATE	UNet3D	AbsLp(p=2)	200	0.1848	0.3381	0.046976	0.0456	0.0360	8.486194	20.8M
12	Geostat ZT RATE	UNet3D	MSE	200	0.1854	0.3418	0.046111	0.0469	0.0365	8.569011	20.8M
13	Geostat NF RATE	SwinUNETR	AbsLp(p=2)	200	0.1881	0.3405	0.046272	0.0370	0.0310	6.744236	16.3M
14	Geostat NF BHP	SwinUNETR	AbsLp(p=2)	200	0.1882	0.3533	0.044299	0.0322	0.0280	6.993268	16.3M
15	Geostat VT RATE	UNet3D	MSE	200	0.1894	0.3519	0.054428	0.0461	0.0359	8.486502	35.9M
16	Geostat ZT BHP	UNet3D	MSE	200	0.1894	0.3368	0.044286	0.0307	0.0248	6.210294	20.8M
17	Geostat ZT BHP	UNet3D	AbsLp(p=2)	200	0.1901	0.3473	0.045846	0.0307	0.0251	6.277672	20.8M
18	Geostat ZT RATE	SegResNet	AbsLp(p=2)	200	0.1913	0.3380	0.047566	0.0500	0.0388	9.180840	18.8M
19	Channels NF BHP	SegResNet	AbsLp(p=2)	200	0.1940	0.4055	0.052604	0.0307	0.0248	6.199241	18.8M
20	Geostat VT BHP	UNet3D	MSE	200	0.1942	0.3673	0.053038	0.0295	0.0239	5.988580	35.9M
21	Geostat ZT RATE	SegResNet	MSE	200	0.1946	0.3611	0.047890	0.0496	0.0384	9.047611	18.8M
22	Geostat ZT BHP	SegResNet	AbsLp(p=2)	200	0.1958	0.3397	0.046875	0.0318	0.0259	6.506715	18.8M
23	Geostat VT RATE	SegResNet	AbsLp(p=2)	200	0.1963	0.3673	0.053504	0.0473	0.0362	8.372307	29.4M
24	Geostat VT BHP	SegResNet	AbsLp(p=2)	200	0.1987	0.3646	0.052161	0.0302	0.0239	6.015178	29.4M
25	Geostat NF BHP	SwinUNETR	MSE	200	0.2008	0.3924	0.046215	0.0332	0.0285	7.094884	16.3M
26	Geostat VT RATE	SegResNet	MSE	200	0.2009	0.3689	0.053885	0.0471	0.0361	8.347742	29.4M
27	Geostat VT RATE	UNet3D	AbsLp(p=2)	200	0.2010	0.3629	0.055984	0.0467	0.0364	8.458871	35.9M
28	Geostat ZT BHP	SegResNet	MSE	200	0.2010	0.3551	0.046470	0.0327	0.0265	6.657693	18.8M
29	Geostat NF RATE	SwinUNETR	MSE	200	0.2012	0.3854	0.042536	0.0414	0.0334	7.141094	16.3M
30	Geostat VT BHP	UNet3D	AbsLp(p=2)	200	0.2022	0.3808	0.053607	0.0303	0.0243	6.077247	35.9M
31	Geostat VT BHP	SegResNet	MSE	200	0.2037	0.3679	0.052045	0.0305	0.0245	6.117434	29.4M
32	Channels NF BHP	SegResNet	MSE	200	0.2043	0.4217	0.053570	0.0324	0.0263	6.560017	18.8M
33	Channels NF RATE	UNet3D	MSE	200	0.2089	0.3816	0.052728	0.0437	0.0348	7.558574	20.8M
34	Channels NF RATE	UNet3D	AbsLp(p=2)	200	0.2104	0.3861	0.054513	0.0449	0.0354	7.782996	20.8M
35	Geostat VT RATE	UNet3D	MSE+grad(w=1)	200	0.2109	0.3744	0.054545	0.0481	0.0372	8.508275	35.9M
36	Geostat VT BHP	UNet3D	MSE+grad(w=1)	200	0.2134	0.3590	0.052282	0.0341	0.0273	6.820544	35.9M
37	Geostat NF RATE	FNO3D	AbsLp(p=2)	200	0.2176	0.4239	0.050780	0.0422	0.0361	7.765929	20.1M
38	Channels NF RATE	SegResNet	AbsLp(p=2)	200	0.2197	0.4143	0.053126	0.0473	0.0382	8.304049	18.8M
39	Geostat NF BHP	FNO3D	AbsLp(p=2)	200	0.2207	0.4422	0.051482	0.0371	0.0320	8.007223	20.1M
40	Channels ZT BHP	UNet3D	MSE	200	0.2230	0.4164	0.054551	0.0319	0.0249	6.217045	20.8M
41	Channels ZT BHP	UNet3D	AbsLp(p=2)	200	0.2232	0.4314	0.055996	0.0323	0.0259	6.439610	20.8M
42	Channels NF RATE	SegResNet	MSE	200	0.2291	0.4253	0.054467	0.0460	0.0363	7.947267	18.8M
43	Geostat NF BHP	FNO3D	MSE	200	0.2345	0.4861	0.054643	0.0392	0.0337	8.408319	20.1M
44	Channels VT BHP	UNet3D	MSE	200	0.2384	0.4567	0.065744	0.0344	0.0266	6.697660	35.9M
45	Channels VT BHP	UNet3D	MSE+grad(w=1)	200	0.2402	0.4734	0.067157	0.0344	0.0269	6.753836	35.9M
46	Geostat NF RATE	FNO3D	MSE	200	0.2413	0.4747	0.051482	0.0472	0.0398	8.519495	20.1M
47	Channels ZT RATE	UNet3D	AbsLp(p=2)	200	0.2457	0.4570	0.062272	0.0537	0.0413	9.744350	20.8M
48	Channels ZT RATE	UNet3D	MSE	200	0.2457	0.4466	0.059286	0.0549	0.0424	10.070366	20.8M
49	Channels VT BHP	UNet3D	AbsLp(p=2)	200	0.2506	0.5251	0.069934	0.0354	0.0276	6.904829	35.9M
50	Channels ZT BHP	SegResNet	AbsLp(p=2)	200	0.2519	0.4642	0.062831	0.0372	0.0295	7.337576	18.8M
51	Geostat ZT RATE	SwinUNETR	AbsLp(p=2)	200	0.2521	0.4546	0.059283	0.0684	0.0534	12.779385	16.3M
52	Channels VT RATE	UNet3D	MSE+grad(w=1)	200	0.2574	0.4750	0.071365	0.0540	0.0409	9.889451	35.9M
53	Channels NF BHP	SwinUNETR	AbsLp(p=2)	200	0.2589	0.5225	0.069507	0.0416	0.0340	8.486210	16.3M
54	Channels VT BHP	SegResNet	MSE	200	0.2595	0.4797	0.067640	0.0367	0.0280	7.051733	29.4M
55	Channels VT RATE	UNet3D	MSE	200	0.2596	0.5028	0.073584	0.0552	0.0418	10.178999	35.9M
56	Channels ZT BHP	SegResNet	MSE	200	0.2599	0.4837	0.060852	0.0391	0.0304	7.615905	18.8M
57	Geostat ZT RATE	SwinUNETR	MSE	200	0.2601	0.4722	0.055375	0.0721	0.0570	13.083779	16.3M
58	Channels VT BHP	SegResNet	AbsLp(p=2)	200	0.2614	0.5246	0.070700	0.0373	0.0282	7.175670	29.4M
59	Channels VT RATE	SegResNet	AbsLp(p=2)	200	0.2661	0.5187	0.073273	0.0564	0.0431	10.464211	29.4M
60	Geostat VT RATE	SwinUNETR	AbsLp(p=2)	200	0.2664	0.5028	0.071910	0.0672	0.0519	11.766338	36.2M
61	Channels VT RATE	UNet3D	AbsLp(p=2)	200	0.2665	0.5476	0.076183	0.0564	0.0434	10.478560	35.9M
62	Geostat ZT BHP	SwinUNETR	AbsLp(p=2)	200	0.2710	0.4854	0.060074	0.0481	0.0401	9.924505	16.3M
63	Channels NF BHP	SwinUNETR	MSE	200	0.2712	0.5885	0.070083	0.0452	0.0370	9.148697	16.3M
64	Channels ZT RATE	SegResNet	AbsLp(p=2)	200	0.2712	0.4966	0.066764	0.0589	0.0445	10.564583	18.8M
65	Channels VT RATE	SegResNet	MSE	200	0.2715	0.5165	0.070310	0.0575	0.0438	10.468528	29.4M
66	Geostat VT BHP	SwinUNETR	AbsLp(p=2)	200	0.2749	0.5230	0.072443	0.0458	0.0375	9.244534	36.2M
67	Geostat ZT BHP	SwinUNETR	MSE	200	0.2750	0.4835	0.058076	0.0485	0.0404	10.022796	16.3M
68	Channels ZT RATE	SegResNet	MSE	200	0.2750	0.5009	0.063451	0.0608	0.0462	10.968623	18.8M
69	Geostat VT RATE	SwinUNETR	MSE	200	0.2802	0.5160	0.074990	0.0684	0.0527	12.038026	36.2M
70	Geostat VT BHP	SwinUNETR	MSE	200	0.2809	0.5043	0.066116	0.0473	0.0383	9.439110	36.2M
71	Channels NF RATE	SwinUNETR	AbsLp(p=2)	200	0.2858	0.5270	0.069151	0.0529	0.0413	9.128984	16.3M
72	Channels NF RATE	SwinUNETR	MSE	200	0.2944	0.5695	0.066029	0.0553	0.0429	9.342718	16.3M
73	Channels NF BHP	FNO3D	AbsLp(p=2)	200	0.3062	0.6482	0.081473	0.0630	0.0522	13.104323	20.1M
74	Geostat ZT BHP	FNO3D	AbsLp(p=2)	200	0.3079	0.5782	0.069802	0.0604	0.0490	12.343442	20.1M
75	Geostat ZT BHP	FNO3D	MSE	200	0.3101	0.5740	0.067988	0.0616	0.0500	12.460086	20.1M
76	Channels NF BHP	FNO3D	MSE	200	0.3125	0.7185	0.082872	0.0630	0.0519	13.005433	20.1M
77	Geostat ZT RATE	FNO3D	MSE	200	0.3215	0.5966	0.072588	0.0999	0.0760	17.914213	20.1M
78	Geostat ZT RATE	FNO3D	AbsLp(p=2)	200	0.3224	0.6041	0.075425	0.0993	0.0763	18.035299	20.1M
79	Channels NF RATE	FNO3D	AbsLp(p=2)	200	0.3508	0.6550	0.080835	0.0766	0.0612	13.280948	20.1M
80	Channels NF RATE	FNO3D	MSE	200	0.3562	0.7176	0.080030	0.0801	0.0639	13.712110	20.1M
81	Channels VT BHP	SwinUNETR	AbsLp(p=2)	200	0.3575	0.7163	0.097087	0.0586	0.0457	11.429111	36.2M
82	Channels ZT BHP	SwinUNETR	AbsLp(p=2)	200	0.3605	0.6761	0.084165	0.0574	0.0446	11.190115	16.3M
83	Channels ZT BHP	SwinUNETR	MSE	200	0.3607	0.6707	0.079274	0.0581	0.0456	11.334703	16.3M
84	Geostat VT BHP	FNO3D	MSE	200	0.3630	0.6794	0.083388	0.0810	0.0665	16.656662	35.7M
85	Geostat VT BHP	FNO3D	AbsLp(p=2)	200	0.3636	0.7398	0.093502	0.0778	0.0636	16.000710	35.7M
86	Channels VT BHP	SwinUNETR	MSE	200	0.3653	0.7118	0.090665	0.0594	0.0462	11.591043	36.2M
87	Channels VT RATE	SwinUNETR	AbsLp(p=2)	200	0.3670	0.7736	0.101861	0.0841	0.0637	15.169115	36.2M
88	Channels ZT RATE	SwinUNETR	MSE	200	0.3685	0.6604	0.076620	0.0872	0.0661	15.608218	16.3M
89	Geostat VT RATE	FNO3D	AbsLp(p=2)	200	0.3744	0.7287	0.098138	0.1098	0.0830	20.213245	35.7M
90	Channels ZT RATE	SwinUNETR	AbsLp(p=2)	200	0.3758	0.7278	0.089416	0.0857	0.0647	15.493610	16.3M
91	Channels VT RATE	SwinUNETR	MSE	200	0.3763	0.7227	0.098932	0.0881	0.0663	15.631885	36.2M
92	Geostat VT RATE	FNO3D	MSE	200	0.3791	0.7203	0.084728	0.1190	0.0903	21.365623	35.7M
93	Channels ZT BHP	FNO3D	AbsLp(p=2)	200	0.4080	0.7672	0.089509	0.0860	0.0697	17.261770	20.1M
94	Channels ZT BHP	FNO3D	MSE	200	0.4119	0.8244	0.090742	0.0856	0.0688	17.075972	20.1M
95	Channels ZT RATE	FNO3D	MSE	200	0.4301	0.8042	0.091805	0.1241	0.0950	22.028023	20.1M
96	Channels ZT RATE	FNO3D	AbsLp(p=2)	200	0.4328	0.7792	0.094815	0.1227	0.0940	21.869766	20.1M
97	Channels VT BHP	FNO3D	AbsLp(p=2)	200	0.4708	0.9126	0.105809	0.1008	0.0799	20.026644	35.7M
98	Channels VT BHP	FNO3D	MSE	200	0.4785	0.9393	0.102066	0.1039	0.0824	20.654514	35.7M
99	Channels VT RATE	FNO3D	AbsLp(p=2)	200	0.4823	0.9359	0.109471	0.1458	0.1106	26.306049	35.7M
100	Channels VT RATE	FNO3D	MSE	200	0.4886	0.9646	0.111228	0.1505	0.1138	26.803350	35.7M