Before revision:  Results: The results show that the constrained Tucker method successfully identified the shared and task-specific synergies for all 3 DoF tensorsdirectly and it was robust to misassignments with regard to task-repetition information unlike NMF, thanks to exploring the multi-way structure of muscle activity. Conclusions: We showed the potential of tensor factorisations to study and characterise muscle activity and developed a new direct method for shared and task-specific synergy identificationwith a constrained Tucker decomposition.
After revision:  Results: The results show that the constrained Tucker method successfully identified the shared and task-specific synergies for all 3 DoF tensorsdirectly and it was robust to misassignments with regard to task-repetition information , unlike the commonly used NMF. In summary, we demonstrate how to use tensors to characterise muscle activity and developed a new direct method for shared and task-specific synergy identificationwith a constrained Tucker decomposition.