| CPC G06N 3/065 (2023.01) [G06F 7/523 (2013.01); G06F 17/16 (2013.01); G06N 3/047 (2023.01)] | 20 Claims |

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1. A computer-implemented method for computing an equilibrium distribution of Markov processes, the method comprising:
storing weight values in an analog crossbar array of transition probability matrix devices, wherein the weight values in the analog crossbar array of transition probability matrix devices represent a weight matrix with m rows and n columns;
computing, by a processor, an eigenvector associated with a real eigenvalue of modulus one for each of the weight values from the transition probability matrix devices;
applying, by a processor, a gradient-based eigenvalue solver to converge to a dominant eigenpair;
determining a probability of changing from one state to another state in a stochastic entity based on outcomes of the gradient-based eigenvalue solver; and
performing a process with an artificial intelligence (AI) model using an AI accelerator chip that employs the equilibrium distribution of Markov processes.
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