Source: see last section in this article
Of course this question begs for the answer that it is both an art and a science. I view it more like craftsmanship. This article discusses my opinion on the subject.
We need to start by defining what machine learning is, or more precisely, what kind of work it entails. I broke it down into three types of activities, corresponding to different types of machine learning professionals or job titles. Many practitioners spend some amount of time, in various proportions, on any of these activities.
There can definitely be art involved at any level. However, I prefer to use the word craftmanship. As opposed to art which serves no purpose here except beauty, craftsmanship is the quality of design and work shown in something made by hand. It must serve a practical purpose, and it is usually shows as the signature of a professional proud to deliver high quality work, be it a piece of furniture or a piece of code.
At level 1, craftmanship shows as mastering the platform at a high level, sometimes even better than those who created it, and being able to leverage it in astute ways, and discovering tricks that few are aware of, to further optimize the work. At level 2, it can mean writing beautiful code, not for its own beauty but for the way other people are going to see it: achieving remarkable performance with some astute, elegant code nobody thought about it before. It can mean understanding the inners of these platforms, and being able to circumnavigate their inherent glitches. At level 3, it could mean designing an algorithm that is able to extract more information from data than you would theoretically be expected to, based on the law of entropy. For instance designing unexpectedly sharp confidence intervals that nobody thought could be possible (see my book on new statistical foundations, page 132, and available here).
What about machine learning as an art?
Since art in this context does not generally bring added value, you are going to see craftsmanship more so than pure art. That said, very talented professionals may decide to bring their work to a whole new level and secretly incorporate art into it (much better than incorporating back doors, or unethical biases!) Nobody may recognize the art hidden in their work for a long time, and they will never gain a financial advantage from it, but instead they gain a personal satisfaction of being able to deliver high quality work on time, yet incorporating art into it. Some of the art can be recognized sometimes, such as beautiful visualizations (see here) that actually have practical applications, or mathematical formulas, see for instance here.
The picture at the top of this article can be found here. It represents the energy of electrons in an atomic lattice, and it is known as the butterfly fractal. It is also associated to special continued fractions. The author, Douglas Hofstadter, a physicist, is the one who wrote the masterpiece book Gödel, Escher, Bach, published initially in 1979. In his book, he claims some of his friends see this image as a picture of God. The book is all about AI, and everyone interested in AI should read it, despite being published for the first time about 40 years ago. In 1988, I proved one of the recursions mentioned in his book, see my article in Journal of Number Theory, here. I would also consider the typesetting system LaTex, created by Donald Knuth (famous computer scientist), as another piece of art, with very practical applications.
Then there is another way machine learning is related to arts. Music, paintings, videos (movies) and even culinary masterpieces, can be designed by AI, whether or not the code that produces these artistic creations, is dull and boring, or artistically written.
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About the author: Vincent Granville is a data science pioneer, mathematician, book author (Wiley), patent owner, former post-doc at Cambridge University, former VC-funded executive, with 20+ years of corporate experience including CNET, NBC, Visa, Wells Fargo, Microsoft, eBay. Vincent is also self-publisher at DataShaping.com, and founded and co-founded a few start-ups, including one with a successful exit (Data Science Central acquired by Tech Target). You can access Vincent's articles and books, here. A selection of the most recent ones can be found on vgranville.com.