I am not sure but I don't think so because I've had this problem for years with various renderings, and on various computers, with various textures - but have never asked about it. I used to clean them up in Photshop but that's quite time consuming. They are really strange because they seem to occur kind of randomly (but consistently within a specific file - they don't go away).
I still need more ideas for a solution... it may take "profound" understanding of the rendering engine to solve this problem.