How do I use a Jersey ExceptionMapper with Google Guice?

I am using Jersey Guice and need to configure a custom ExceptionMapper

My module looks like this:

public final class MyJerseyModule extends JerseyServletModule
{
   @Override
   protected void configureServlets()
   {
      ...
      filter("/*").through(GuiceContainer.class);
      ...
   }
}

And this is my ExceptionMapper:

import javax.ws.rs.core.Response;
import javax.ws.rs.core.Response.Status;
import javax.ws.rs.ext.ExceptionMapper;

public class MyExceptionMapper implements ExceptionMapper<MyException>
{
   @Override
   public Response toResponse(final MyException exception)
   {
      return Response.status(Status.NOT_FOUND).entity(exception.getMessage()).build();
   }
}