No problem with the info requests mouse. This is the only way to figure out the problem & fix it, so I am glad to help.
Ok first, let me say that the InputPersonalization.exe & the ask/UpdateTask.exe are the only programs that I get alerts for several times a day. The frequency of the alerts ranges from once every 1-3 hours for each of these programs & seems to occur more often than not soon after a reboot. Ranging from a minute to a half hour after boot. The UpdateTask.exe problem seems to be fixed now & havn’t seen an alert for 24 hours on that one. InputPersonalization alerts are still the same.
Before I go on with the requested information, I wanted to mention the only other “errant” alert that I get once in awhile. It is for /ProgramFiles/Acer/Acer Assist.exe / I have only gotten this alert maybe 2 or 3 times in the last week & a half, with the last one occurring 4 days ago. This is another path that doesn’t exist, & a program that I have previously uninstalled. This program came with my laptop factory installation. I will be re-installing my laptop to factory soon & since this alert has been very minor in occurrence I didn’t post about it before.
Here are the two paths to the InputPersonalization.exes :
C:\Windows\winsxs\x86_microsoft-windows-t…nputpersonalization_31bf3856ad364e35_6.0.6001.18000_none_3fac12f5c6543548\InputPersonalization.exe ( date modified = 1/20/2008/10:25pm ) file size 194kb
C:\Windows\winsxs\x86_microsoft-windows-t…nputpersonalization_31bf3856ad364e35_6.0.6002.18005_none_41978c01c3760094\InputPersonalization.exe ( date modified = 1/20/2008/10:25pm ) file size 194kb
I also found this file below, I am not sure what significance it has, if any of the problem, but here it is.
C:\Windows\winsxs\x86_microsoft-windows-t…alization.resources_31bf3856ad364e35_6.0.6000.16386_en-us_ea48b2972841f72f\InputPersonalization.exe <----- this is a MUI file. ( date modified = 11/2/2006/8:41am ) file size 3kb
Now from what I have read online, InputPersonalization is a microsoft product that monitors your handwriting for different purposes. I have a drawing tablet, so I figured that it also might have some other purposes regarding tablets in generally, which is why I keep allowing it, & trying to have it stay that way. 
I havn’t uninstalled InputPersonalization, nor do I think it is possible to remove it, at least from normal uninstallation methods.
I am now going to try adding the files to trusted vendors & reboot. If that doesn’t work I will let you know. I would then probably try defining them as installers/updaters.