International Business Machines Corporation

Ogunzhan Murat Onen

Wilfried Haensch

Lior Horesh

Tayfun Gokmen

Mark Steven Squillante

Tomasz J Nowicki

Vasileios Kalantzis

A method is presented for computing an equilibrium distribution of Markov processes. The method includes storing weight values in an analog crossbar array of transition probability matrices, where the analog crossbar array of transition probability matrices represents a weight matrix with m rows and n columns, computing an eigenvector associated with a real eigenvalue of modulus one for each of the transition probability matrices, applying a gradient-based eigenvalue solver to converge to a dominant eigenpair, and determining a probability of changing from one state to another state in a stochastic entity based on outcomes of the gradient-based eigenvalue solver.

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Ogunzhan Murat Onen