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bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 2, "size": null...
System: P(X_0) = {'0': 0.47, '1': 0.53} P(X_2|X_0=0, X_1=0) = {'0': 0.3, '1': 0.7} P(X_2|X_0=0, X_1=1) = {'0': 0.29, '1': 0.71} P(X_2|X_0=1, X_1=0) = {'0': 0.81, '1': 0.19} P(X_2|X_0=1, X_1=1) = {'0': 0.63, '1': 0.37} P(X_1) = {'0': 0.47, '1': 0.53} Observed conditions: Observing/Knowing that the state X_2 is equa...
{0: 0.69, 1: 0.31}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 2, "size": null...
System: P(X_0) = {'0': 0.47, '1': 0.53} P(X_2|X_0=0, X_1=0) = {'0': 0.3, '1': 0.7} P(X_2|X_0=0, X_1=1) = {'0': 0.29, '1': 0.71} P(X_2|X_0=1, X_1=0) = {'0': 0.81, '1': 0.19} P(X_2|X_0=1, X_1=1) = {'0': 0.63, '1': 0.37} P(X_1) = {'0': 0.47, '1': 0.53} Observed conditions: Doing/Imposing that the state X_2 is equal t...
{0: 0.47, 1: 0.53}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 4, "size": null...
System: P(X_0) = {'0': 0.65, '1': 0.35} P(X_1|X_0=0) = {'0': 0.49, '1': 0.51} P(X_1|X_0=1) = {'0': 0.86, '1': 0.14} P(X_2|X_0=0) = {'0': 0.49, '1': 0.51} P(X_2|X_0=1) = {'0': 0.86, '1': 0.14} Observed conditions: Observing/Knowing that the state X_1 is equal to 1, and the state X_2 is equal to 0 Task: Compute proba...
{0: 0.79, 1: 0.21}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 4, "size": null...
System: P(X_0) = {'0': 0.65, '1': 0.35} P(X_1|X_0=0) = {'0': 0.49, '1': 0.51} P(X_1|X_0=1) = {'0': 0.86, '1': 0.14} P(X_2|X_0=0) = {'0': 0.49, '1': 0.51} P(X_2|X_0=1) = {'0': 0.86, '1': 0.14} Observed conditions: Doing/Imposing that the state X_1 is equal to 1. Observing/Knowing that the state X_2 is equal to 0 Tas...
{0: 0.51, 1: 0.49}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 7, "size": null...
System: P(X_0) = {'0': 0.41, '1': 0.59} P(X_1|X_0=0) = {'0': 0.45, '1': 0.55} P(X_1|X_0=1) = {'0': 0.8, '1': 0.2} P(X_2|X_0=0, X_1=0) = {'0': 0.68, '1': 0.32} P(X_2|X_0=0, X_1=1) = {'0': 0.51, '1': 0.49} P(X_2|X_0=1, X_1=0) = {'0': 0.99, '1': 0.01} P(X_2|X_0=1, X_1=1) = {'0': 0.22, '1': 0.78} Observed conditions:...
{0: 0.81, 1: 0.19}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 7, "size": null...
System: P(X_0) = {'0': 0.41, '1': 0.59} P(X_1|X_0=0) = {'0': 0.45, '1': 0.55} P(X_1|X_0=1) = {'0': 0.8, '1': 0.2} P(X_2|X_0=0, X_1=0) = {'0': 0.68, '1': 0.32} P(X_2|X_0=0, X_1=1) = {'0': 0.51, '1': 0.49} P(X_2|X_0=1, X_1=0) = {'0': 0.99, '1': 0.01} P(X_2|X_0=1, X_1=1) = {'0': 0.22, '1': 0.78} Observed conditions:...
{0: 0.66, 1: 0.34}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 15, "size": nul...
System: P(X_0) = {'0': 0.46, '1': 0.54} P(X_1|X_0=0) = {'0': 0.67, '1': 0.33} P(X_1|X_0=1) = {'0': 0.95, '1': 0.05} P(X_2) = {'0': 0.46, '1': 0.54} Observed conditions: Observing/Knowing that the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (possible values: [0, 1]). Output: Python dict ma...
{0: 0.38, 1: 0.62}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 15, "size": nul...
System: P(X_0) = {'0': 0.46, '1': 0.54} P(X_1|X_0=0) = {'0': 0.67, '1': 0.33} P(X_1|X_0=1) = {'0': 0.95, '1': 0.05} P(X_2) = {'0': 0.46, '1': 0.54} Observed conditions: Doing/Imposing that the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (possible values: [0, 1]). Output: Python dict mappi...
{0: 0.46, 1: 0.54}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 18, "size": nul...
System: P(X_0) = {'0': 0.36, '1': 0.64} P(X_1|X_0=0) = {'0': 0.59, '1': 0.41} P(X_1|X_0=1) = {'0': 0.9, '1': 0.1} P(X_2|X_1=0) = {'0': 0.59, '1': 0.41} P(X_2|X_1=1) = {'0': 0.9, '1': 0.1} Observed conditions: Observing/Knowing that the state X_2 is equal to 1 Task: Compute probability distribution for X_0 (possible...
{0: 0.3, 1: 0.7}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 18, "size": nul...
System: P(X_0) = {'0': 0.36, '1': 0.64} P(X_1|X_0=0) = {'0': 0.59, '1': 0.41} P(X_1|X_0=1) = {'0': 0.9, '1': 0.1} P(X_2|X_1=0) = {'0': 0.59, '1': 0.41} P(X_2|X_1=1) = {'0': 0.9, '1': 0.1} Observed conditions: Doing/Imposing that the state X_2 is equal to 1 Task: Compute probability distribution for X_0 (possible va...
{0: 0.36, 1: 0.64}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 21, "size": nul...
System: P(X_0) = {'0': 0.56, '1': 0.44} P(X_1|X_0=0) = {'0': 0.52, '1': 0.48} P(X_1|X_0=1) = {'0': 0.87, '1': 0.13} P(X_2|X_0=0, X_1=0) = {'0': 0.55, '1': 0.45} P(X_2|X_0=0, X_1=1) = {'0': 0.38, '1': 0.62} P(X_2|X_0=1, X_1=0) = {'0': 0.63, '1': 0.37} P(X_2|X_0=1, X_1=1) = {'0': 0.44, '1': 0.56} Observed condition...
{0: 0.48, 1: 0.52}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 21, "size": nul...
System: P(X_0) = {'0': 0.56, '1': 0.44} P(X_1|X_0=0) = {'0': 0.52, '1': 0.48} P(X_1|X_0=1) = {'0': 0.87, '1': 0.13} P(X_2|X_0=0, X_1=0) = {'0': 0.55, '1': 0.45} P(X_2|X_0=0, X_1=1) = {'0': 0.38, '1': 0.62} P(X_2|X_0=1, X_1=0) = {'0': 0.63, '1': 0.37} P(X_2|X_0=1, X_1=1) = {'0': 0.44, '1': 0.56} Observed condition...
{0: 0.61, 1: 0.39}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 22, "size": nul...
System: P(X_1) = {'0': 0.65, '1': 0.35} P(X_2|X_1=0) = {'0': 0.81, '1': 0.19} P(X_2|X_1=1) = {'0': 0.23, '1': 0.77} P(X_0) = {'0': 0.65, '1': 0.35} Observed conditions: Observing/Knowing that the state X_2 is equal to 1 Task: Compute probability distribution for X_1 (possible values: [0, 1]). Output: Python dict ma...
{0: 0.31, 1: 0.69}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 22, "size": nul...
System: P(X_1) = {'0': 0.65, '1': 0.35} P(X_2|X_1=0) = {'0': 0.81, '1': 0.19} P(X_2|X_1=1) = {'0': 0.23, '1': 0.77} P(X_0) = {'0': 0.65, '1': 0.35} Observed conditions: Doing/Imposing that the state X_2 is equal to 1 Task: Compute probability distribution for X_1 (possible values: [0, 1]). Output: Python dict mappi...
{0: 0.65, 1: 0.35}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 28, "size": nul...
System: P(X_0) = {'0': 0.49, '1': 0.51} P(X_1|X_0=0) = {'0': 0.53, '1': 0.47} P(X_1|X_0=1) = {'0': 0.96, '1': 0.04} P(X_2|X_0=0) = {'0': 0.53, '1': 0.47} P(X_2|X_0=1) = {'0': 0.96, '1': 0.04} Observed conditions: Observing/Knowing that the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (poss...
{0: 0.35, 1: 0.65}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 28, "size": nul...
System: P(X_0) = {'0': 0.49, '1': 0.51} P(X_1|X_0=0) = {'0': 0.53, '1': 0.47} P(X_1|X_0=1) = {'0': 0.96, '1': 0.04} P(X_2|X_0=0) = {'0': 0.53, '1': 0.47} P(X_2|X_0=1) = {'0': 0.96, '1': 0.04} Observed conditions: Doing/Imposing that the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (possibl...
{0: 0.49, 1: 0.51}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 29, "size": nul...
System: P(X_0) = {'0': 0.09, '1': 0.91} P(X_1|X_0=0) = {'0': 0.09, '1': 0.91} P(X_1|X_0=1) = {'0': 0.66, '1': 0.34} P(X_2|X_0=0) = {'0': 0.09, '1': 0.91} P(X_2|X_0=1) = {'0': 0.66, '1': 0.34} Observed conditions: Observing/Knowing that the state X_1 is equal to 1 Task: Compute probability distribution for X_2 (poss...
{0: 0.54, 1: 0.46}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 29, "size": nul...
System: P(X_0) = {'0': 0.09, '1': 0.91} P(X_1|X_0=0) = {'0': 0.09, '1': 0.91} P(X_1|X_0=1) = {'0': 0.66, '1': 0.34} P(X_2|X_0=0) = {'0': 0.09, '1': 0.91} P(X_2|X_0=1) = {'0': 0.66, '1': 0.34} Observed conditions: Doing/Imposing that the state X_1 is equal to 1 Task: Compute probability distribution for X_2 (possibl...
{0: 0.61, 1: 0.39}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 31, "size": nul...
System: P(X_0) = {'0': 0.93, '1': 0.07} P(X_2|X_0=0) = {'0': 0.57, '1': 0.43} P(X_2|X_0=1) = {'0': 0.13, '1': 0.87} P(X_1) = {'0': 0.93, '1': 0.07} Observed conditions: Observing/Knowing that the state X_2 is equal to 0, and the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (possible values:...
{0: 0.98, 1: 0.02}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 31, "size": nul...
System: P(X_0) = {'0': 0.93, '1': 0.07} P(X_2|X_0=0) = {'0': 0.57, '1': 0.43} P(X_2|X_0=1) = {'0': 0.13, '1': 0.87} P(X_1) = {'0': 0.93, '1': 0.07} Observed conditions: Doing/Imposing that the state X_2 is equal to 0. Observing/Knowing that the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (...
{0: 0.93, 1: 0.07}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 32, "size": nul...
System: P(X_0) = {'0': 0.22, '1': 0.78} P(X_1|X_0=0) = {'0': 0.3, '1': 0.7} P(X_1|X_0=1) = {'0': 0.64, '1': 0.36} P(X_2|X_1=0) = {'0': 0.3, '1': 0.7} P(X_2|X_1=1) = {'0': 0.64, '1': 0.36} Observed conditions: Observing/Knowing that the state X_1 is equal to 1 Task: Compute probability distribution for X_0 (possible...
{0: 0.35, 1: 0.65}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 32, "size": nul...
System: P(X_0) = {'0': 0.22, '1': 0.78} P(X_1|X_0=0) = {'0': 0.3, '1': 0.7} P(X_1|X_0=1) = {'0': 0.64, '1': 0.36} P(X_2|X_1=0) = {'0': 0.3, '1': 0.7} P(X_2|X_1=1) = {'0': 0.64, '1': 0.36} Observed conditions: Doing/Imposing that the state X_1 is equal to 1 Task: Compute probability distribution for X_0 (possible va...
{0: 0.22, 1: 0.78}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 39, "size": nul...
System: P(X_0) = {'0': 0.48, '1': 0.52} P(X_1|X_0=0) = {'0': 0.79, '1': 0.21} P(X_1|X_0=1) = {'0': 0.64, '1': 0.36} P(X_2|X_1=0) = {'0': 0.79, '1': 0.21} P(X_2|X_1=1) = {'0': 0.64, '1': 0.36} Observed conditions: Observing/Knowing that the state X_2 is equal to 0, and the state X_1 is equal to 0 Task: Compute proba...
{0: 0.53, 1: 0.47}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 39, "size": nul...
System: P(X_0) = {'0': 0.48, '1': 0.52} P(X_1|X_0=0) = {'0': 0.79, '1': 0.21} P(X_1|X_0=1) = {'0': 0.64, '1': 0.36} P(X_2|X_1=0) = {'0': 0.79, '1': 0.21} P(X_2|X_1=1) = {'0': 0.64, '1': 0.36} Observed conditions: Doing/Imposing that the state X_1 is equal to 0. Observing/Knowing that the state X_2 is equal to 0 Tas...
{0: 0.48, 1: 0.52}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 50, "size": nul...
System: P(X_0) = {'0': 0.49, '1': 0.51} P(X_1|X_0=0) = {'0': 0.59, '1': 0.41} P(X_1|X_0=1) = {'0': 0.46, '1': 0.54} P(X_2|X_0=0, X_1=0) = {'0': 0.77, '1': 0.23} P(X_2|X_0=0, X_1=1) = {'0': 0.56, '1': 0.44} P(X_2|X_0=1, X_1=0) = {'0': 0.89, '1': 0.11} P(X_2|X_0=1, X_1=1) = {'0': 0.64, '1': 0.36} Observed condition...
{0: 0.21, 1: 0.79}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 50, "size": nul...
System: P(X_0) = {'0': 0.49, '1': 0.51} P(X_1|X_0=0) = {'0': 0.59, '1': 0.41} P(X_1|X_0=1) = {'0': 0.46, '1': 0.54} P(X_2|X_0=0, X_1=0) = {'0': 0.77, '1': 0.23} P(X_2|X_0=0, X_1=1) = {'0': 0.56, '1': 0.44} P(X_2|X_0=1, X_1=0) = {'0': 0.89, '1': 0.11} P(X_2|X_0=1, X_1=1) = {'0': 0.64, '1': 0.36} Observed condition...
{0: 0.46, 1: 0.54}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 52, "size": nul...
System: P(X_0) = {'0': 0.52, '1': 0.48} P(X_1|X_0=0) = {'0': 0.54, '1': 0.46} P(X_1|X_0=1) = {'0': 0.99, '1': 0.01} P(X_2|X_0=0, X_1=0) = {'0': 0.53, '1': 0.47} P(X_2|X_0=0, X_1=1) = {'0': 0.37, '1': 0.63} P(X_2|X_0=1, X_1=0) = {'0': 0.57, '1': 0.43} P(X_2|X_0=1, X_1=1) = {'0': 0.29, '1': 0.71} Observed condition...
{0: 0.69, 1: 0.31}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 52, "size": nul...
System: P(X_0) = {'0': 0.52, '1': 0.48} P(X_1|X_0=0) = {'0': 0.54, '1': 0.46} P(X_1|X_0=1) = {'0': 0.99, '1': 0.01} P(X_2|X_0=0, X_1=0) = {'0': 0.53, '1': 0.47} P(X_2|X_0=0, X_1=1) = {'0': 0.37, '1': 0.63} P(X_2|X_0=1, X_1=0) = {'0': 0.57, '1': 0.43} P(X_2|X_0=1, X_1=1) = {'0': 0.29, '1': 0.71} Observed condition...
{0: 0.76, 1: 0.24}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 66, "size": nul...
System: P(X_0) = {'0': 0.57, '1': 0.43} P(X_1|X_0=0) = {'0': 0.93, '1': 0.07} P(X_1|X_0=1) = {'0': 0.53, '1': 0.47} P(X_2|X_1=0) = {'0': 0.93, '1': 0.07} P(X_2|X_1=1) = {'0': 0.53, '1': 0.47} Observed conditions: Observing/Knowing that the state X_2 is equal to 1, and the state X_1 is equal to 1 Task: Compute proba...
{0: 0.16, 1: 0.84}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 66, "size": nul...
System: P(X_0) = {'0': 0.57, '1': 0.43} P(X_1|X_0=0) = {'0': 0.93, '1': 0.07} P(X_1|X_0=1) = {'0': 0.53, '1': 0.47} P(X_2|X_1=0) = {'0': 0.93, '1': 0.07} P(X_2|X_1=1) = {'0': 0.53, '1': 0.47} Observed conditions: Doing/Imposing that the state X_1 is equal to 1. Observing/Knowing that the state X_2 is equal to 1 Tas...
{0: 0.57, 1: 0.43}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 71, "size": nul...
System: P(X_0) = {'0': 0.32, '1': 0.68} P(X_1|X_0=0) = {'0': 0.25, '1': 0.75} P(X_1|X_0=1) = {'0': 0.45, '1': 0.55} P(X_2|X_0=0) = {'0': 0.25, '1': 0.75} P(X_2|X_0=1) = {'0': 0.45, '1': 0.55} Observed conditions: Observing/Knowing that the state X_2 is equal to 0 Task: Compute probability distribution for X_1 (poss...
{0: 0.41, 1: 0.59}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 71, "size": nul...
System: P(X_0) = {'0': 0.32, '1': 0.68} P(X_1|X_0=0) = {'0': 0.25, '1': 0.75} P(X_1|X_0=1) = {'0': 0.45, '1': 0.55} P(X_2|X_0=0) = {'0': 0.25, '1': 0.75} P(X_2|X_0=1) = {'0': 0.45, '1': 0.55} Observed conditions: Doing/Imposing that the state X_2 is equal to 0 Task: Compute probability distribution for X_1 (possibl...
{0: 0.39, 1: 0.61}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 74, "size": nul...
System: P(X_0) = {'0': 0.63, '1': 0.37} P(X_1|X_0=0) = {'0': 0.57, '1': 0.43} P(X_1|X_0=1) = {'0': 0.44, '1': 0.56} P(X_2|X_0=0, X_1=0) = {'0': 0.61, '1': 0.39} P(X_2|X_0=0, X_1=1) = {'0': 0.5, '1': 0.5} P(X_2|X_0=1, X_1=0) = {'0': 0.99, '1': 0.01} P(X_2|X_0=1, X_1=1) = {'0': 0.47, '1': 0.53} Observed conditions:...
{0: 0.73, 1: 0.27}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 74, "size": nul...
System: P(X_0) = {'0': 0.63, '1': 0.37} P(X_1|X_0=0) = {'0': 0.57, '1': 0.43} P(X_1|X_0=1) = {'0': 0.44, '1': 0.56} P(X_2|X_0=0, X_1=0) = {'0': 0.61, '1': 0.39} P(X_2|X_0=0, X_1=1) = {'0': 0.5, '1': 0.5} P(X_2|X_0=1, X_1=0) = {'0': 0.99, '1': 0.01} P(X_2|X_0=1, X_1=1) = {'0': 0.47, '1': 0.53} Observed conditions:...
{0: 0.75, 1: 0.25}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 78, "size": nul...
System: P(X_0) = {'0': 0.31, '1': 0.69} P(X_1|X_0=0) = {'0': 0.45, '1': 0.55} P(X_1|X_0=1) = {'0': 0.52, '1': 0.48} P(X_2|X_0=0, X_1=0) = {'0': 0.53, '1': 0.47} P(X_2|X_0=0, X_1=1) = {'0': 0.62, '1': 0.38} P(X_2|X_0=1, X_1=0) = {'0': 0.58, '1': 0.42} P(X_2|X_0=1, X_1=1) = {'0': 0.72, '1': 0.28} Observed condition...
{0: 0.35, 1: 0.65}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 78, "size": nul...
System: P(X_0) = {'0': 0.31, '1': 0.69} P(X_1|X_0=0) = {'0': 0.45, '1': 0.55} P(X_1|X_0=1) = {'0': 0.52, '1': 0.48} P(X_2|X_0=0, X_1=0) = {'0': 0.53, '1': 0.47} P(X_2|X_0=0, X_1=1) = {'0': 0.62, '1': 0.38} P(X_2|X_0=1, X_1=0) = {'0': 0.58, '1': 0.42} P(X_2|X_0=1, X_1=1) = {'0': 0.72, '1': 0.28} Observed condition...
{0: 0.31, 1: 0.69}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 79, "size": nul...
System: P(X_0) = {'0': 0.93, '1': 0.07} P(X_2|X_0=0) = {'0': 0.5, '1': 0.5} P(X_2|X_0=1) = {'0': 0.67, '1': 0.33} P(X_1) = {'0': 0.93, '1': 0.07} Observed conditions: Observing/Knowing that the state X_1 is equal to 0, and the state X_2 is equal to 0 Task: Compute probability distribution for X_0 (possible values: [...
{0: 0.91, 1: 0.09}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 79, "size": nul...
System: P(X_0) = {'0': 0.93, '1': 0.07} P(X_2|X_0=0) = {'0': 0.5, '1': 0.5} P(X_2|X_0=1) = {'0': 0.67, '1': 0.33} P(X_1) = {'0': 0.93, '1': 0.07} Observed conditions: Doing/Imposing that the state X_2 is equal to 0. Observing/Knowing that the state X_1 is equal to 0 Task: Compute probability distribution for X_0 (po...
{0: 0.93, 1: 0.07}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 81, "size": nul...
System: P(X_0) = {'0': 0.67, '1': 0.33} P(X_2|X_0=0, X_1=0) = {'0': 0.49, '1': 0.51} P(X_2|X_0=0, X_1=1) = {'0': 0.3, '1': 0.7} P(X_2|X_0=1, X_1=0) = {'0': 0.66, '1': 0.34} P(X_2|X_0=1, X_1=1) = {'0': 0.86, '1': 0.14} P(X_1) = {'0': 0.67, '1': 0.33} Observed conditions: Observing/Knowing that the state X_2 is equa...
{0: 0.6, 1: 0.4}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 81, "size": nul...
System: P(X_0) = {'0': 0.67, '1': 0.33} P(X_2|X_0=0, X_1=0) = {'0': 0.49, '1': 0.51} P(X_2|X_0=0, X_1=1) = {'0': 0.3, '1': 0.7} P(X_2|X_0=1, X_1=0) = {'0': 0.66, '1': 0.34} P(X_2|X_0=1, X_1=1) = {'0': 0.86, '1': 0.14} P(X_1) = {'0': 0.67, '1': 0.33} Observed conditions: Doing/Imposing that the state X_2 is equal t...
{0: 0.67, 1: 0.33}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 86, "size": nul...
System: P(X_0) = {'0': 0.78, '1': 0.22} P(X_2|X_0=0, X_1=0) = {'0': 0.63, '1': 0.37} P(X_2|X_0=0, X_1=1) = {'0': 0.18, '1': 0.82} P(X_2|X_0=1, X_1=0) = {'0': 0.39, '1': 0.61} P(X_2|X_0=1, X_1=1) = {'0': 0.74, '1': 0.26} P(X_1) = {'0': 0.78, '1': 0.22} Observed conditions: Observing/Knowing that the state X_2 is eq...
{0: 0.92, 1: 0.08}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 86, "size": nul...
System: P(X_0) = {'0': 0.78, '1': 0.22} P(X_2|X_0=0, X_1=0) = {'0': 0.63, '1': 0.37} P(X_2|X_0=0, X_1=1) = {'0': 0.18, '1': 0.82} P(X_2|X_0=1, X_1=0) = {'0': 0.39, '1': 0.61} P(X_2|X_0=1, X_1=1) = {'0': 0.74, '1': 0.26} P(X_1) = {'0': 0.78, '1': 0.22} Observed conditions: Doing/Imposing that the state X_2 is equal...
{0: 0.78, 1: 0.22}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 87, "size": nul...
System: P(X_0) = {'0': 0.42, '1': 0.58} P(X_1|X_0=0) = {'0': 0.77, '1': 0.23} P(X_1|X_0=1) = {'0': 0.62, '1': 0.38} P(X_2) = {'0': 0.42, '1': 0.58} Observed conditions: Observing/Knowing that the state X_1 is equal to 1 Task: Compute probability distribution for X_0 (possible values: [0, 1]). Output: Python dict ma...
{0: 0.3, 1: 0.7}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 87, "size": nul...
System: P(X_0) = {'0': 0.42, '1': 0.58} P(X_1|X_0=0) = {'0': 0.77, '1': 0.23} P(X_1|X_0=1) = {'0': 0.62, '1': 0.38} P(X_2) = {'0': 0.42, '1': 0.58} Observed conditions: Doing/Imposing that the state X_1 is equal to 1 Task: Compute probability distribution for X_0 (possible values: [0, 1]). Output: Python dict mappi...
{0: 0.42, 1: 0.58}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 88, "size": nul...
System: P(X_0) = {'0': 0.23, '1': 0.77} P(X_1|X_0=0) = {'0': 0.23, '1': 0.77} P(X_1|X_0=1) = {'0': 0.51, '1': 0.49} P(X_2|X_0=0) = {'0': 0.23, '1': 0.77} P(X_2|X_0=1) = {'0': 0.51, '1': 0.49} Observed conditions: Observing/Knowing that the state X_2 is equal to 0 Task: Compute probability distribution for X_1 (poss...
{0: 0.48, 1: 0.52}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 88, "size": nul...
System: P(X_0) = {'0': 0.23, '1': 0.77} P(X_1|X_0=0) = {'0': 0.23, '1': 0.77} P(X_1|X_0=1) = {'0': 0.51, '1': 0.49} P(X_2|X_0=0) = {'0': 0.23, '1': 0.77} P(X_2|X_0=1) = {'0': 0.51, '1': 0.49} Observed conditions: Doing/Imposing that the state X_2 is equal to 0 Task: Compute probability distribution for X_1 (possibl...
{0: 0.45, 1: 0.55}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 89, "size": nul...
System: P(X_0) = {'0': 0.43, '1': 0.57} P(X_1|X_0=0) = {'0': 0.44, '1': 0.56} P(X_1|X_0=1) = {'0': 0.98, '1': 0.02} P(X_2|X_0=0, X_1=0) = {'0': 0.52, '1': 0.48} P(X_2|X_0=0, X_1=1) = {'0': 0.46, '1': 0.54} P(X_2|X_0=1, X_1=0) = {'0': 0.48, '1': 0.52} P(X_2|X_0=1, X_1=1) = {'0': 0.03, '1': 0.97} Observed condition...
{0: 0.27, 1: 0.73}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 89, "size": nul...
System: P(X_0) = {'0': 0.43, '1': 0.57} P(X_1|X_0=0) = {'0': 0.44, '1': 0.56} P(X_1|X_0=1) = {'0': 0.98, '1': 0.02} P(X_2|X_0=0, X_1=0) = {'0': 0.52, '1': 0.48} P(X_2|X_0=0, X_1=1) = {'0': 0.46, '1': 0.54} P(X_2|X_0=1, X_1=0) = {'0': 0.48, '1': 0.52} P(X_2|X_0=1, X_1=1) = {'0': 0.03, '1': 0.97} Observed condition...
{0: 0.25, 1: 0.75}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 90, "size": nul...
System: P(X_0) = {'0': 0.35, '1': 0.65} P(X_1|X_0=0) = {'0': 0.42, '1': 0.58} P(X_1|X_0=1) = {'0': 0.62, '1': 0.38} P(X_2|X_0=0) = {'0': 0.42, '1': 0.58} P(X_2|X_0=1) = {'0': 0.62, '1': 0.38} Observed conditions: Observing/Knowing that the state X_2 is equal to 1 Task: Compute probability distribution for X_0 (poss...
{0: 0.45, 1: 0.55}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 90, "size": nul...
System: P(X_0) = {'0': 0.35, '1': 0.65} P(X_1|X_0=0) = {'0': 0.42, '1': 0.58} P(X_1|X_0=1) = {'0': 0.62, '1': 0.38} P(X_2|X_0=0) = {'0': 0.42, '1': 0.58} P(X_2|X_0=1) = {'0': 0.62, '1': 0.38} Observed conditions: Doing/Imposing that the state X_2 is equal to 1 Task: Compute probability distribution for X_0 (possibl...
{0: 0.35, 1: 0.65}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 91, "size": nul...
System: P(X_0) = {'0': 0.24, '1': 0.76} P(X_1|X_0=0) = {'0': 0.26, '1': 0.74} P(X_1|X_0=1) = {'0': 0.76, '1': 0.24} P(X_2|X_0=0, X_1=0) = {'0': 0.25, '1': 0.75} P(X_2|X_0=0, X_1=1) = {'0': 0.5, '1': 0.5} P(X_2|X_0=1, X_1=0) = {'0': 0.74, '1': 0.26} P(X_2|X_0=1, X_1=1) = {'0': 0.25, '1': 0.75} Observed conditions:...
{0: 0.49, 1: 0.51}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 91, "size": nul...
System: P(X_0) = {'0': 0.24, '1': 0.76} P(X_1|X_0=0) = {'0': 0.26, '1': 0.74} P(X_1|X_0=1) = {'0': 0.76, '1': 0.24} P(X_2|X_0=0, X_1=0) = {'0': 0.25, '1': 0.75} P(X_2|X_0=0, X_1=1) = {'0': 0.5, '1': 0.5} P(X_2|X_0=1, X_1=0) = {'0': 0.74, '1': 0.26} P(X_2|X_0=1, X_1=1) = {'0': 0.25, '1': 0.75} Observed conditions:...
{0: 0.24, 1: 0.76}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 96, "size": nul...
System: P(X_0) = {'0': 0.5, '1': 0.5} P(X_1|X_0=0) = {'0': 0.57, '1': 0.43} P(X_1|X_0=1) = {'0': 0.6, '1': 0.4} P(X_2|X_0=0, X_1=0) = {'0': 0.58, '1': 0.42} P(X_2|X_0=0, X_1=1) = {'0': 0.52, '1': 0.48} P(X_2|X_0=1, X_1=0) = {'0': 0.86, '1': 0.14} P(X_2|X_0=1, X_1=1) = {'0': 0.34, '1': 0.66} Observed conditions: O...
{0: 0.79, 1: 0.21}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 96, "size": nul...
System: P(X_0) = {'0': 0.5, '1': 0.5} P(X_1|X_0=0) = {'0': 0.57, '1': 0.43} P(X_1|X_0=1) = {'0': 0.6, '1': 0.4} P(X_2|X_0=0, X_1=0) = {'0': 0.58, '1': 0.42} P(X_2|X_0=0, X_1=1) = {'0': 0.52, '1': 0.48} P(X_2|X_0=1, X_1=0) = {'0': 0.86, '1': 0.14} P(X_2|X_0=1, X_1=1) = {'0': 0.34, '1': 0.66} Observed conditions: D...
{0: 0.6, 1: 0.4}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 100, "size": nu...
System: P(X_0) = {'0': 0.58, '1': 0.42} P(X_1|X_0=0) = {'0': 0.74, '1': 0.26} P(X_1|X_0=1) = {'0': 0.93, '1': 0.07} P(X_2|X_1=0) = {'0': 0.74, '1': 0.26} P(X_2|X_1=1) = {'0': 0.93, '1': 0.07} Observed conditions: Observing/Knowing that the state X_2 is equal to 1, and the state X_1 is equal to 1 Task: Compute proba...
{0: 0.84, 1: 0.16}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 100, "size": nu...
System: P(X_0) = {'0': 0.58, '1': 0.42} P(X_1|X_0=0) = {'0': 0.74, '1': 0.26} P(X_1|X_0=1) = {'0': 0.93, '1': 0.07} P(X_2|X_1=0) = {'0': 0.74, '1': 0.26} P(X_2|X_1=1) = {'0': 0.93, '1': 0.07} Observed conditions: Doing/Imposing that the state X_1 is equal to 1. Observing/Knowing that the state X_2 is equal to 1 Tas...
{0: 0.58, 1: 0.42}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 101, "size": nu...
System: P(X_0) = {'0': 0.72, '1': 0.28} P(X_2|X_0=0, X_1=0) = {'0': 0.76, '1': 0.24} P(X_2|X_0=0, X_1=1) = {'0': 0.28, '1': 0.72} P(X_2|X_0=1, X_1=0) = {'0': 0.47, '1': 0.53} P(X_2|X_0=1, X_1=1) = {'0': 0.62, '1': 0.38} P(X_1) = {'0': 0.72, '1': 0.28} Observed conditions: Observing/Knowing that the state X_2 is eq...
{0: 0.57, 1: 0.43}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 101, "size": nu...
System: P(X_0) = {'0': 0.72, '1': 0.28} P(X_2|X_0=0, X_1=0) = {'0': 0.76, '1': 0.24} P(X_2|X_0=0, X_1=1) = {'0': 0.28, '1': 0.72} P(X_2|X_0=1, X_1=0) = {'0': 0.47, '1': 0.53} P(X_2|X_0=1, X_1=1) = {'0': 0.62, '1': 0.38} P(X_1) = {'0': 0.72, '1': 0.28} Observed conditions: Doing/Imposing that the state X_2 is equal...
{0: 0.72, 1: 0.28}
3
bayesian_association
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 104, "size": nu...
System: P(X_0) = {'0': 0.55, '1': 0.45} P(X_1|X_0=0) = {'0': 0.8, '1': 0.2} P(X_1|X_0=1) = {'0': 0.85, '1': 0.15} P(X_2|X_1=0) = {'0': 0.8, '1': 0.2} P(X_2|X_1=1) = {'0': 0.85, '1': 0.15} Observed conditions: Observing/Knowing that the state X_1 is equal to 1 Task: Compute probability distribution for X_0 (possible...
{0: 0.62, 1: 0.38}
3
bayesian_intervention
{ "_config": { "c": 1, "concise_cot": false, "cot_scientific_notation": false, "cpt_relative_threshold": 0, "edge_prob": 0.5, "graph_generation_mode": "erdos", "is_verbose": false, "level": 0, "max_domain_size": 2, "n_nodes": 3, "n_round": 2, "seed": 104, "size": nu...
System: P(X_0) = {'0': 0.55, '1': 0.45} P(X_1|X_0=0) = {'0': 0.8, '1': 0.2} P(X_1|X_0=1) = {'0': 0.85, '1': 0.15} P(X_2|X_1=0) = {'0': 0.8, '1': 0.2} P(X_2|X_1=1) = {'0': 0.85, '1': 0.15} Observed conditions: Doing/Imposing that the state X_1 is equal to 1 Task: Compute probability distribution for X_0 (possible va...
{0: 0.55, 1: 0.45}
3
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