Lyapunov exponent(LE) is an important indicator to describe the nature of chaotic dynamical systems. It’s difficult
to calculate LE accurately and fast with small sample size. In this paper, an algorithm for computing LE based on support
vector regression(SVR) is proposed, the parameters of support vector machine(SVM) model are optimized by using quantum
genetic algorithm(QGA), and the formula of the LE based on SVR is derived. Simulation results show that the proposed
algorithm is feasible and effective with much less samples．