UPDATE: You can use kb3023607

This issue was introduced by windows update KB3023607 and KB3034682 and KB3021952

fix1 (work for me)
uninstall KB3023607, KB3034682 , KB3021952
reinstall the cisco anyconnect client (I used version 3.1.06079)

fix option 2:

1. Close the Cisco AnyConnect Window and the taskbar mini-icon
2. Right click vpnui.exe in the “Cisco AnyConnect Secure Mobility Client” folder. (I have it in “C:\Program Files (x86)\Cisco\Cisco AnyConnect Secure Mobility Client\”
3. Click on the “Run compatibility troubleshooter” button
4. Choose “Try recommended settings”.
5. The wizard suggests Windows 8 compatibility.
6. Click “Test Program”.  This will open the program.
7. Close

sources:
1. http://christierney.com/2015/02/11/cisco-anyconnect-failed-to-initialize-connection-subsystem/
2. http://www.reddit.com/r/sysadmin/comments/2vk5w6/cisco_anyconnect_error_failed_to_initialize/