markovian

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markovian

A scientist draws a Markovian diagram on a whiteboard.

Definition
  1. Adjective:
    • Relating to or generated by a Markov process: The term "Markovian" describes a property, system, or sequence of events that possesses the characteristics of a Markov process. This fundamentally means that the future state depends only on the present state and not on the sequence of events that preceded it.
Usage Examples
  • Adjective:
    • The system's behavior is Markovian, meaning its next state is determined solely by its current state.
    • They modeled the random walk using a Markovian assumption.
    • Not all stochastic processes are Markovian; some have long-term memory.
Advanced Usage

  • "Markovian property": Also known as the "memoryless" property. It is the defining characteristic of a Markov process.

    • The Markovian property simplifies the analysis of the queueing model significantly.

  • "Non-Markovian": Used to describe a process or system that does not have the Markov property, where future states depend on past history.

    • The system exhibited non-Markovian dynamics due to feedback loops.
Variants and Related Words

  • Markov process (n): A stochastic process that satisfies the Markov property.

    • A Markov chain is a common type of Markov process with discrete states.

  • Markov chain (n): A specific type of Markov process with a discrete state space.

    • The weather prediction model was built as a Markov chain.
Synonyms
  • Memoryless: (In the context of stochastic processes) Having the property that the future is independent of the past given the present.
  • Stochastic: Involving chance or probability. (Note: This is a broader term; all Markovian processes are stochastic, but not all stochastic processes are Markovian.)
Related Phrases
  • Markovian decision process (MDP): A mathematical framework for modeling decision making in situations where outcomes are partly random and partly under the control of a decision maker, based on the Markov property.
    • Reinforcement learning algorithms often use a Markovian decision process as their foundation.
Related Concepts
  • State space: The set of all possible states of a Markov process.
  • Transition probability: The probability of moving from one state to another in a Markov process.
markovian

A scientist draws a Markovian diagram on a whiteboard.

Adjective
  1. relating to or generated by a Markov process

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