Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Markov chain | Statement: [Markov chain Monte Carlo, uses, Markov chain]

Target entity: Markov chain
Context triple: [Markov chain Monte Carlo, uses, Markov chain]

• A. Markov processes chosen
  Markov processes are stochastic processes in which the future evolution depends only on the present state and not on the past history.
• B. Chapman–Kolmogorov equation
  The Chapman–Kolmogorov equation is a fundamental relation in the theory of stochastic processes that expresses how transition probabilities of a Markov process over longer time intervals can be obtained by integrating over intermediate states.
• C. Markov chain Monte Carlo
  Markov chain Monte Carlo is a class of algorithms that uses Markov chains to generate samples from complex probability distributions, widely used in Bayesian inference, statistical physics, and machine learning.
• D. Ornstein–Uhlenbeck process
  The Ornstein–Uhlenbeck process is a continuous-time stochastic process that models mean-reverting random motion, widely used in physics and quantitative finance to describe systems fluctuating around a long-term equilibrium.
• E. Brownian motion
  Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.