How to deny authorization for a Web API project by default

Is it possible to deny authorization (even for authenticated users) for every ASP.NET Web API controller in a project unless the authorization is explicitly allowed?

I am looking for something like:

WebApiConfig

config.Filters.Add(new DenyAuthorizationAttribute());   // ??

ExampleController.cs

public class ExampleController : ApiController
{
    [Authorize(Roles = "Admins")]
    public string GetHello_OnlyAdmins()
    {
        // only admins can call this
    }

    [AllowAnonymous]
    public void PostSomething_Everybody()
    {
        // ...
    }

    public void DeleteSomething_NoOne()        
    {
        // nobody can call this - we want to force the programmer to be specific about authorized roles
    }

}