A digital power amplifier module comprising: a control circuit for controlling a power amplifier, PA, circuit, wherein the PA circuit is an outphasing PA circuit, a balanced PA circuit or a push-pull PA circuit, wherein the PA circuit comprises: two PA (121,122) and an output combiner configured to combine output signals of the two PA; an adaptive control circuit comprised of an input interface configured to receive input signals and an output interface configured to transmit the output signals adapted to control the PA circuit; a memory storing first parameter sets including parameters having values of input frequency, second parameter sets including parameters having values of input power, cost functions represented by the parameters and an adaptive control algorithm; and a processor configured to perform instructions based on the adaptive control algorithm in connection with the memory and the interface, wherein the interface receives the input signals, and output signals of the PA circuit, wherein the adaptive control algorithm determines, in response to the input signals and the output signals, control parameters of control signals corresponding to a gate bias, a phase difference and an input power distribution, adapted to control operations of the PA circuit, wherein an initialization of the adaptive control algorithm is performed based on a transfer learning from the previous control parameters obtained for the previous input signals, wherein the cost functions include a performance cost function and a perturbed cost function, wherein the adaptive control algorithm determines the control parameters by maximizing the cost functions, and an output interface to transmit the control parameters, wherein the transfer learning uses a smallest distance between the input signals and the previous input signals, wherein hyper-parameters of the adaptive control algorithm are updated based on the distance; wherein curve fitting functions are implemented for an input-power ratio of the two PAs and a phase difference between the two PAs; wherein the input signals are used as an input state including different states indicating a frequency and an input power level; wherein the PA circuit is a dual-input digital PA, DPA; wherein the adaptive control algorithm adaptively tunes the control parameters, by using the input signal and the output signal of the dual input DPA; wherein the tuned control parameters are fed to the dual input DPA; and wherein the input signals are modulated signals. two PA (121,122) and an output combiner configured to combine output signals of the two PA; an adaptive control circuit comprised of an input interface configured to receive input signals and an output interface configured to transmit the output signals adapted to control the PA circuit; a memory storing first parameter sets including parameters having values of input frequency, second parameter sets including parameters having values of input power, cost functions represented by the parameters and an adaptive control algorithm; and a processor configured to perform instructions based on the adaptive control algorithm in connection with the memory and the interface, wherein the interface receives the input signals, and output signals of the PA circuit, wherein the adaptive control algorithm determines, in response to the input signals and the output signals, control parameters of control signals corresponding to a gate bias, a phase difference and an input power distribution, adapted to control operations of the PA circuit, wherein an initialization of the adaptive control algorithm is performed based on a transfer learning from the previous control parameters obtained for the previous input signals, wherein the cost functions include a performance cost function and a perturbed cost function, wherein the adaptive control algorithm determines the control parameters by maximizing the cost functions, and an output interface to transmit the control parameters, wherein the transfer learning uses a smallest distance between the input signals and the previous input signals, wherein hyper-parameters of the adaptive control algorithm are updated based on the distance; wherein curve fitting functions are implemented for an input-power ratio of the two PAs and a phase difference between the two PAs; wherein the input signals are used as an input state including different states indicating a frequency and an input power level; wherein the PA circuit is a dual-input digital PA, DPA; wherein the adaptive control algorithm adaptively tunes the control parameters, by using the input signal and the output signal of the dual input DPA; wherein the tuned control parameters are fed to the dual input DPA; and wherein the input signals are modulated signals.