Dean Eman,

First of all, I must say that your question is really good. There are some links available, which will be helpful to find your answers. The links are:

1. https://www.analyticsvidhya.com/blog/2015/07/difference-machine-learning-statistical-modeling/

2. https://stats.stackexchange.com/questions/6/the-two-cultures-statistics-vs-machine-learning

3. https://analyticsindiamag.com/machine-learning-different-statistics/

And one book:

4. Ratner, B. (2011). Statistical and machine-learning data mining: Techniques for better predictive modeling and analysis of big data. CRC Press.

Thanks,

Sobhan

Dean Eman,

First of all, I must say that your question is really good. There are some links available, which will be helpful to find your answers. The links are:

1. https://www.analyticsvidhya.com/blog/2015/07/difference-machine-learning-statistical-modeling/

2. https://stats.stackexchange.com/questions/6/the-two-cultures-statistics-vs-machine-learning

3. https://analyticsindiamag.com/machine-learning-different-statistics/

And one book:

4. Ratner, B. (2011). Statistical and machine-learning data mining: Techniques for better predictive modeling and analysis of big data. CRC Press.

Thanks,

Sobhan

A statistical model is a formalization of relationships between variables in the form of mathematical equations, based on programmed instructions, we can find regression analysis and linear models, statistical inference, etc.

Machine learning is a subfield of computer science and artificial intelligence which deals with building systems that can learn from data, instead of explicitly programmed instructions, where we can find for example: Decision tree, Association rule, Artificial neural network, Inductive logic programming, Support vector machines, Cluster analysis, etc.

Refer to

https://www.analyticsvidhya.com/blog/2015/07/difference-machine-learning-statistical-modeling/

Also it depends on how you define machine learning. For me, machine learning means "Teach Computer how to learn from data thru statistical analysis". So, in this sense all machine learning models are statistical models.