To make your profile public, click your name in the top right corner of the site and choose Account Info. Scroll down to the Network section and view the option available.
If off, you’ll see:
Click the button at the right of the option and it will turn green. With that you’ll see:
We highly recommend having your visibility turned on as part of your Ladders experience.
Your profile will automatically become public when you add connections in the form of references that you have given or received, or if you have added information about peers, reports or bosses to the page. To turn your profile off, you will need to remove those items first.