They're pings. More than likely a script kiddie or some kind of worm is scanning ports on your machine, and everyone else's on your subnet, for some kind of vulnerability.
If you've got an up-to-date firewall package and all your OS patches in place, and you aren't doing something silly with your internet connection, like running an IRC server or warez FTP site, you probably aren't a tempting or interesting target; there are easier fish to catch.
If you really want to, you can probably send a report back to the owner of the netblock that originated the pings (use an abuse@ email address, if you can nsloookup the originating domain). At the very least, port scanning by users rather than service providers is considered impolite. Some have rules against it as well.