Google Drive has recently added an enhanced search and regular expressions support, but those features have not yet made their way to the mobile apps. Now the Android application exclusively has a new feature, simply called Quick Access. This uses machine learning to predict what documents you are most likely to open, based on your Drive activity and recurring patterns. Google claims this "saves 50 percent off the average time it takes to get to the right file by eliminating the need to search for it."
Now before you get excited, this feature is only live for G Suite customers, not the general public. There's no word on when, if ever, this feature will come to normal users, or even the web version and iOS app.
Several people in the comments are reporting the Quick Access feature is working on their normal Google accounts. It may be rolling out gradually, but I can't seem to enable it on mine.
- Google Drive Blog