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task_id
string
X
list
y
list
n_features
int32
mb_mask
list
mb_ratio
float32
density
float64
dag
dict
scm
dict
target
dict
meta
dict
task_00683b62
[[-1.0779759883880615,-0.6852225065231323,1.3463866710662842,0.7228516340255737,-0.4921930134296417,(...TRUNCATED)
[-1.378145456314087,0.004080341197550297,1.8120592832565308,0.9082462787628174,-0.14349448680877686,(...TRUNCATED)
100
[false,false,false,false,true,false,false,false,false,false,false,false,false,true,false,false,true,(...TRUNCATED)
0.21
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,44],[0,49],[0,59],[0,64],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_GAUSSIAN","noise_model":"GAUSSIAN","pnl":false,"coeff_range":1.0,"noise_std":0.5(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,true,false,false,false,false,false,false,f(...TRUNCATED)
{ "n_samples": 1000, "seed": 1249693216 }
task_3c07c91b
[[-0.6577381491661072,-0.4469158947467804,1.0436208248138428,-0.7493091225624084,-1.651067852973938,(...TRUNCATED)
[-0.6824029088020325,0.09647499024868011,1.2255958318710327,0.04425739124417305,0.3502548038959503,1(...TRUNCATED)
100
[false,false,false,true,true,false,false,false,false,false,true,false,false,true,false,false,true,tr(...TRUNCATED)
0.43
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,44],[0,49],[0,59],[0,64],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_GAUSSIAN","noise_model":"GAUSSIAN","pnl":false,"coeff_range":1.0,"noise_std":0.5(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,true,false,false,false,false,false,false,true,fa(...TRUNCATED)
{ "n_samples": 1000, "seed": 1544123743 }
task_e220de52
[[-0.5197003483772278,-2.2590456008911133,0.30848774313926697,-0.02914324961602688,1.580205917358398(...TRUNCATED)
[-1.6353302001953125,0.8600995540618896,0.28282490372657776,-1.0611392259597778,-1.1114835739135742,(...TRUNCATED)
100
[true,true,true,true,true,true,false,true,true,true,true,false,true,false,false,false,true,true,true(...TRUNCATED)
0.78
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,44],[0,49],[0,59],[0,64],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_GAUSSIAN","noise_model":"GAUSSIAN","pnl":false,"coeff_range":1.0,"noise_std":0.5(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,false,false,false,false,false,false,false,(...TRUNCATED)
{ "n_samples": 1000, "seed": 774196478 }
task_c4bd8413
[[1.6596463918685913,0.33345848321914673,-0.4485335946083069,-0.25978097319602966,1.784938931465149,(...TRUNCATED)
[-1.4874531030654907,-0.27010101079940796,-0.7039238214492798,0.40742483735084534,-0.598833262920379(...TRUNCATED)
100
[false,false,false,false,true,false,false,false,false,false,false,false,false,true,false,false,true,(...TRUNCATED)
0.21
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,44],[0,49],[0,59],[0,64],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_GAUSSIAN","noise_model":"GAUSSIAN","pnl":false,"coeff_range":1.0,"noise_std":0.5(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,true,false,false,false,false,false,false,f(...TRUNCATED)
{ "n_samples": 1000, "seed": 1717614902 }
task_b9302efe
[[-0.8951002359390259,1.2502763271331787,-0.3618984818458557,-0.0902809277176857,-0.1159962937235832(...TRUNCATED)
[0.19119060039520264,-0.17792242765426636,0.61102694272995,0.38212156295776367,1.6080387830734253,0.(...TRUNCATED)
100
[false,false,false,true,true,false,false,false,false,false,true,false,false,true,false,false,true,tr(...TRUNCATED)
0.43
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,44],[0,49],[0,59],[0,64],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_GAUSSIAN","noise_model":"GAUSSIAN","pnl":false,"coeff_range":1.0,"noise_std":0.5(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,true,false,false,false,false,false,false,true,fa(...TRUNCATED)
{ "n_samples": 1000, "seed": 1416351476 }
task_a11add14
[[-0.620759904384613,0.10411602258682251,-0.2965262830257416,0.39834722876548767,-0.2832464277744293(...TRUNCATED)
[-0.6675601601600647,1.075416922569275,0.5452332496643066,1.0818657875061035,0.4703418016433716,-0.2(...TRUNCATED)
100
[false,true,false,true,true,true,false,false,true,true,true,false,true,false,true,false,true,false,f(...TRUNCATED)
0.64
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,32],[0,43],[0,48],[0,58],[0,63],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_NONGAUSSIAN","noise_model":"LAPLACE","pnl":false,"coeff_range":1.0,"noise_std":0(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,false,true,false,false,false,false,false,f(...TRUNCATED)
{ "n_samples": 1000, "seed": 154190047 }
task_e58f021d
[[-0.2669410705566406,0.6181883811950684,-0.7940014600753784,0.7047541737556458,-0.9557840824127197,(...TRUNCATED)
[-0.9408334493637085,-0.5699290633201599,-0.7534362077713013,-0.33249661326408386,-1.522111535072326(...TRUNCATED)
100
[false,false,false,false,false,false,false,false,false,false,true,false,true,false,false,false,false(...TRUNCATED)
0.17
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,44],[0,49],[0,59],[0,63],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_NONGAUSSIAN","noise_model":"LAPLACE","pnl":false,"coeff_range":1.0,"noise_std":0(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,false,false,false,false,false,false,true,f(...TRUNCATED)
{ "n_samples": 1000, "seed": 159640904 }
task_e1b890f5
[[0.11355739831924438,2.6860129833221436,-0.9963576793670654,1.7732889652252197,-0.8615996241569519,(...TRUNCATED)
[-1.0336651802062988,1.0785760879516602,1.3089783191680908,0.5099014043807983,0.7988507747650146,1.8(...TRUNCATED)
100
[true,true,false,true,true,true,false,false,true,true,true,true,true,false,true,false,true,true,true(...TRUNCATED)
0.77
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,43],[0,48],[0,58],[0,63],[0,70],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_NONGAUSSIAN","noise_model":"LAPLACE","pnl":false,"coeff_range":1.0,"noise_std":0(...TRUNCATED)
{"target_node":100,"parent_mask":[true,false,false,false,false,false,false,false,false,false,false,f(...TRUNCATED)
{ "n_samples": 1000, "seed": 1116185583 }
task_e2dfed69
[[0.02249477617442608,-0.8341965079307556,-0.6537241339683533,0.07481981813907623,-0.249811142683029(...TRUNCATED)
[0.42383530735969543,-0.1980883628129959,-0.5778165459632874,-0.45267900824546814,0.3077366054058075(...TRUNCATED)
100
[false,true,false,true,false,true,false,true,true,true,true,false,false,false,false,true,true,true,t(...TRUNCATED)
0.61
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,14],[0,32],[0,43],[0,48],[0,58],[0,63],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_NONGAUSSIAN","noise_model":"LAPLACE","pnl":false,"coeff_range":1.0,"noise_std":0(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,false,false,false,false,false,false,false,(...TRUNCATED)
{ "n_samples": 1000, "seed": 535973140 }
task_1aa66334
[[-1.2449100017547607,-0.4902113080024719,0.04274780675768852,-0.6848593950271606,-0.145239740610122(...TRUNCATED)
[-1.727815866470337,1.0123926401138306,-0.2800917625427246,-0.19611415266990662,-1.25296950340271,-1(...TRUNCATED)
100
[false,true,false,false,false,true,false,true,true,true,false,true,false,false,false,false,false,fal(...TRUNCATED)
0.47
0.197822
{"dag_id":"dag_243003ed","num_nodes":101,"edge_list":[[0,15],[0,33],[0,43],[0,48],[0,58],[0,63],[0,7(...TRUNCATED)
{"scm_type":"LINEAR_NONGAUSSIAN","noise_model":"LAPLACE","pnl":false,"coeff_range":1.0,"noise_std":0(...TRUNCATED)
{"target_node":100,"parent_mask":[false,false,false,false,false,true,false,false,true,false,false,tr(...TRUNCATED)
{ "n_samples": 1000, "seed": 627155765 }
End of preview. Expand in Data Studio

SCM3K

Benchmark dataset for:

The Good, the Bad, and the Ugly of Markov Boundary for Tabular Prediction Shu Wan, Abhinav Gorantla, Huan Liu, K. Selcuk Candan

3 450 tabular prediction tasks sampled from random structural causal models (SCMs), totalling 3.45M records (1 000 samples per task). Each task ships with the ground-truth Markov boundary of the target node, so you can evaluate feature selection and prediction under known causal structure. Nine feature-count levels from 40 to 1 000.

Splits

One HF split per feature count F. No predefined train/test partition — use HF slice syntax (e.g. split="f200[:80%]").

Split F num_nodes DAG density MB-ratio band Tasks
f40 40 41 ER [0.2, 0.4] [0.10, 0.90] 300
f60 60 61 ER [0.2, 0.4] [0.10, 0.90] 300
f80 80 81 ER [0.2, 0.4] [0.10, 0.90] 300
f100 100 101 ER [0.2, 0.4] [0.10, 0.90] 300
f200 200 201 ER [0.01, 0.02, 0.04] [0.05, 0.95] 450
f400 400 401 ER [0.01, 0.02, 0.04] [0.05, 0.95] 450
f600 600 601 ER [0.01, 0.02, 0.04] [0.05, 0.95] 450
f800 800 801 ER [0.01, 0.02, 0.04] [0.05, 0.95] 450
f1000 1000 1001 ER [0.01, 0.02, 0.04] [0.05, 0.95] 450
Total 3 450

Row schema

Each row is one prediction task.

Field Type What it stores
task_id string unique task identifier
X list<list<f32>> feature matrix, 1 000 x F
y list<f32> target vector, length 1 000
n_features int number of features (= F)
mb_mask list<bool> true Markov boundary mask over features
mb_ratio float fraction of features in the Markov boundary
density float edge density of the generating DAG
dag struct dag_id, num_nodes, edge_list
scm struct scm_type, noise_model, pnl, coeff_range, noise_std
target struct target_node, parent_mask, child_mask, spouse_mask
meta struct n_samples, seed

How the data was generated

DAGs: Erdos-Renyi, 5 graphs per (num_nodes, density) pair, seed 42.

SCMs: six families — LINEAR_GAUSSIAN, LINEAR_NONGAUSSIAN, NL_ANM_GAUSSIAN, NL_ANM_NONGAUSSIAN, PNL, HETEROSKEDASTIC. Each DAG gets 5 SCM instantiations with n_samples=1000, coeff_range=1.0, noise_std=0.5.

Quick start

from datasets import load_dataset

ds = load_dataset("CSE472-blanket-challenge/SCM3K", split="f200")
task = ds[0]

X  = task["X"]          # 1000 x 200
y  = task["y"]          # 1000
mb = task["mb_mask"]    # ground-truth Markov boundary

Citation

@article{wan2026gbu,
  title  = {The Good, the Bad, and the Ugly of Markov Boundary
            for Tabular Prediction},
  author = {Wan, Shu and Gorantla, Abhinav and Liu, Huan
            and Candan, K. Sel{\c{c}}uk},
  year   = {2026},
}
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