Mixtures of Self-Modeling Regressions
نویسندگان
چکیده
A shape invariant model for functions f1, . . . , fn specifies that each individual function fi can be related to a common shape function g through the relation fi(x) = aig(cix + di) + bi. We consider a mixture model that allows multiple shape functions g1, . . . , gK , where each fi is a shape invariant transformation of one of those gk. We derive an MCMC algorithm for fitting the model using Bayesian Adaptive Regression Splines (BARS) and discuss some of the computational difficulties that arise. The method is illustrated using synaptic transmission data, where the groups of functions may indicate different active zones in a synapse.
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