fct_opt_adadelta<-function(gradients, state){
#%ADADELTA optimization
#% Detailed explanation goes here
if(length(state)==0){
state$epsilon = 1e-6;
state$rho = .95;
state$iteration = 1;
state$history = 0*gradients;
state$u = 0*gradients;
}
#% accumulate gradient
state$history = state$rho * state$history + (1 - state$rho) * gradients^2;
#% update parameters
updates = gradients * sqrt((state$u + state$epsilon) / (state$history + state$epsilon));
#% accumulate updates
state$u = state$rho * state$u + (1 - state$rho) * updates^2;
#% update iteration number
state$iteration = state$iteration + 1;
state$epsilon = state$epsilon;
state$rho = state$rho;
state$iteration = state$iteration;
state$history = state$history;
state$u = state$u;
return(list(updates=updates, state=state))
}
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