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    • Causal Modeling
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  • Research Structure
    • Causal Discovery
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  • More
    • Home
    • About Us
      • About CRAIL
      • Core Objectives
      • Research Areas
      • Contact Us
    • Our Methods
      • Causal Modeling
      • Intervention Experiments
      • Prediction&Optimization
    • Research Structure
      • Causal Discovery
      • Causal Inference
      • Counterfactual Simulation
      • Intervention Experiments
      • Feedback & Optimization
    • Application Scenarios
      • Healthcare & Medicine
      • Economics & Public Policy
      • Career Development
      • Personal Legal Risk
  • Home
  • About Us
    • About CRAIL
    • Core Objectives
    • Research Areas
    • Contact Us
  • Our Methods
    • Causal Modeling
    • Intervention Experiments
    • Prediction&Optimization
  • Research Structure
    • Causal Discovery
    • Causal Inference
    • Counterfactual Simulation
    • Intervention Experiments
    • Feedback & Optimization
  • Application Scenarios
    • Healthcare & Medicine
    • Economics & Public Policy
    • Career Development
    • Personal Legal Risk

key concepts

Causal Graphs(DAGs)

Causal Markov Condition

Causal Markov Condition

A causal graph consist of :

  • Nodes : Represent different factors in the system.
  • Directed Edges : indicate causal influence (e.g., A to B means A causes B)
  • No cycles (i.e., no feedback loops).

Causal Markov Condition

Causal Markov Condition

Causal Markov Condition

The Causal Markov Condition(CMC)is a fundamental assumption in causal inference that defines the relationship between causal structures and probablistic independence. It is the bridge between causality and statistics, allowing us to extract causal relationships from data using graphical models.

Confounders & Colliders

Causal Markov Condition

Confounders & Colliders

A confounder is a variable that causes both the independent variable(X) and the dependent variable (Y) , creating a spurious association between them.

A collider is a variable that is caused by two other variables (X and Y) , but does not cause them.

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