Submodularity

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Contents

• Canonical Conditional Information Submodularity
• Entropy of a Commonly Determined State
• Conditional-Independent Information Submodularity
• Conditional Mutual Information
• Markov Data Processing
• Mutual-Information Chain Rule
• Prediction Closure Criterion
• Predictive Memory Monotonicity
• Predictive Memory under Deterministic Refinement
• Selected Observation Information Monotonicity
• Selected Observation Information Monotonicity, Canonical Form
• Strong Subadditivity and Conditional Products