1. Graduate School of Engineering Science; Osaka University; Toyonaka Japan
2. Department of Statistics; North Carolina State University; Raleigh North Carolina USA
3. Department of Neurology; Osaka University Graduate School of Medicine; Osaka Japan
4. Department of Neurology; Toneyama National Hospital; Osaka Japan
5. RBCS Department; Fondazione Istituto Italiano di Tecnologia; Genoa Italy