Any family of entropy-like functions that fully characterizes the second laws of majorization must be countably infinite when the state space is sufficiently large.
Elements of information theory
3 Pith papers cite this work. Polarity classification is still indexing.
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QPLEX Decision Processes embed QPLEX transient approximations into a nonlinear MDP framework and optimize policies via deterministic gradients and natural-gradient methods, demonstrated on a dynamic pricing problem with waiting costs or chance constraints.
Alternating optimization for MI-optimal density control of linear systems coincides with that for generalized Schrödinger bridges.
citing papers explorer
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Majorization requires infinitely many second laws
Any family of entropy-like functions that fully characterizes the second laws of majorization must be countably infinite when the state space is sufficiently large.
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QPLEX Decision Processes: Formulation via Nonlinear Markov Chains and Optimization via Policy Gradients
QPLEX Decision Processes embed QPLEX transient approximations into a nonlinear MDP framework and optimize policies via deterministic gradients and natural-gradient methods, demonstrated on a dynamic pricing problem with waiting costs or chance constraints.
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Mutual Information Optimal Density Control of Linear Systems and Generalized Schr\"{o}dinger Bridges with Reference Refinement
Alternating optimization for MI-optimal density control of linear systems coincides with that for generalized Schrödinger bridges.