I'm running Windows 10, no pending updates, I've run sfc /scan now and DISM.exe /Online /Cleanup-image /Restorehealth neither of which reported issues. I've tried installing enterprise, professional and community and built the local installer with the --layout flag for professional all of which produce the same error. I have also tried uninstalling visual studio 2015 enterprise and a variety of other visual studio bits, resharper and ncrunch.
[3604:0011][2016-11-19T11:06:58] Error 0x80004003:
0x80004003 at Microsoft.VisualStudio.Setup.Cache.InstanceRepository.GetInstance()
at Microsoft.VisualStudio.Setup.Cache.CacheRepository.<GetInstances>d__25.MoveNext()
at System.Linq.Enumerable.FirstOrDefault[TSource](IEnumerable`1 source, Func`2 predicate)
at Microsoft.VisualStudio.Setup.Engine.VerifyInstallationPath(IServiceProvider services, String installationPath, IInstance instance, IQuery query)
at Microsoft.VisualStudio.Setup.Engine.Install(Product product, String destination, CancellationToken token)Object reference not set to an instance of an object.