Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduces a general expression for the gradient of some fundamental information measures.  first calculate the variation of mutual information caused by a small variation in its arguments. Then, the notion of the gradient of mutual information with respect to the system parameters is derived in general form without imposing any constraints on the system model or even on the characteristics of the noise process. In the introduced notion of the gradient of mutual information, the system input can be dependent on the system parameters, which can happen in many realistic scenarios such as communication channels with feedback. The key feature of this expression is that, it models the effects of the system parameters on the mutual information as the superposition of the two distinct effects. The first one is the effect of the system parameters on the mutual information through the system input and the second one is the effect of the system parameters on the mutual information through the system output. Moreover, as special versions of our general results, description of the gradient of mutual information with respect to the several quantities of interest are given in additive noise channels without imposing any constraints on the noise distribution. Also, gradient of the differential entropy and relative entropy, as two other basic measures in information theory, with respect to the channel and noise parameters, are explored in additive noise channels. It is shown that, our general results will reduce to their Gaussian counterparts, presented in the literature.
['Mahboobeh Sedighizad', 'Babak Seyfe']
I am writing a research paper on a idea A Generalized Expression for the Gradient of the Fundamental Information Measures
[{"from": "human", "value": "I am writing a research paper on a idea A Generalized Expression for the Gradient of the Fundamental Information Measures"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduces a general expression for the gradient of some fundamental information measures.  first calculate the variation of mutual information caused by a small variation in its arguments. Then, the notion of the gradient of mutual information with respect to the system parameters is derived in general form without imposing any constraints on the system model or even on the characteristics of the noise process. In the introduced notion of the gradient of mutual information, the system input can be dependent on the system parameters, which can happen in many realistic scenarios such as communication channels with feedback. The key feature of this expression is that, it models the effects of the system parameters on the mutual information as the superposition of the two distinct effects. The first one is the effect of the system parameters on the mutual information through the system input and the second one is the effect of the system parameters on the mutual information through the system output. Moreover, as special versions of our general results, description of the gradient of mutual information with respect to the several quantities of interest are given in additive noise channels without imposing any constraints on the noise distribution. Also, gradient of the differential entropy and relative entropy, as two other basic measures in information theory, with respect to the channel and noise parameters, are explored in additive noise channels. It is shown that, our general results will reduce to their Gaussian counterparts, presented in the literature."}]