I don't believe this option is possible for Public. However, you can add filters via URL (e.g. http://public.tableausoftware.com/shared/5G6C523RK?:display_count=yes&State=Texas,Oklahoma,Kansas,Colorado,Arkansas,Missouri,Nebraska) So there might be some options for you to supply different links to different users or even create some kind of web interface to wrap around a Tableau Public viz to allow users to set and save filters.
Thanks, just what I need.
i also found this website which describes a way that I think you can use
when embedding the viz in a WordPress page.
2013/8/8 Joshua Milligan <email@example.com>
Tableau Support Community
the viewer on a public viz save his filter choices?
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