Coordinate dependence of variability analysis

PLoS Computational Biology

Volumn 6, Issue 4, 2010, Pages

  Sternad, Dagmar ^a   Park, Se Woong ^a   Müller, Hermann ^b   Hogan, Neville ^c  

^a NORTHEASTERN UNIVERSITY   (United States)

^b JUSTUS LIEBIG UNIVERSITY   (Germany)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AFFECT ANALYSIS; CENTRAL NERVOUS SYSTEMS; COVARIANCE MATRICES; MOTOR PERFORMANCE; MULTIDIMENSIONAL DATA; NEURAL CONTROL; PERFORMANCE VARIABILITY; SYSTEM CONTROL; TASK PERFORMANCE; VARIABILITY ANALYSIS;

COVARIANCE MATRIX;

ANISOTROPY; ARTICLE; CENTRAL NERVOUS SYSTEM FUNCTION; COVARIANCE; MOTOR PERFORMANCE; MOVEMENT (PHYSIOLOGY); NEUROSCIENCE; STATISTICAL ANALYSIS; TASK PERFORMANCE; ANALYSIS OF VARIANCE; BIOLOGY; HUMAN; METHODOLOGY; PHYSIOLOGY; PRINCIPAL COMPONENT ANALYSIS; PSYCHOMOTOR PERFORMANCE;

ANALYSIS OF VARIANCE; ANISOTROPY; COMPUTATIONAL BIOLOGY; HUMANS; NEUROSCIENCES; PRINCIPAL COMPONENT ANALYSIS; PSYCHOMOTOR PERFORMANCE;

EID: 77954616125     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1000751     Document Type: Article

References (49)

1. Morasso P (1981) Spatial control of arm movements. Exp Brain Res 42: 223-227.
2. Andersen RA, Zipser D (1988) The role of the posterior parietal cortex in coordinate transformations for visual-motor integration. Can J Physiol Pharmachol 66: 488-501.
3. Soechting JF, Flanders M (1992) Moving in three-dimensional space: Frames of reference, vectors, and coordinate systems. Annu Rev Neurosci 15: 167-191.
4. Lacquaniti F, Maioli C (1994) Independent control of limb position and contact forces in cat posture. J Neurophysiol 72: 1476-1495.
5. Lacquaniti F, Maioli C (1994) Coordinate transformations in the control of cat posture. J Neurophysiol 72: 1496-1515.
6. Bernstein N (1967) The coordination and regulation of movement. London: Pergamon Press.
7. Craig JJ (1986) Introduction to robotics. Reading, MA: Addison-Wesley.
8. Zatsiorsky V (2001) Kinetics of human movement. Champaign, IL: Human Kinetics.
9. Scholz JP, Danion F, Latash ML, Schöner G (2002) Understanding finger coordination through analysis of the structure of variability. Biol Cybern 86: 29-39.
10. Scholz JP, Schöner G (1999) The uncontrolled manifold concept: identifying control variables for a functional task. Exp Brain Res 126: 289-306.
11. Scholz JP, Schöner G, Latash ML (2000) Identifying the control structure of multijoint coordination during pistol shooting. Exp Brain Res 135: 382-404.
12. Latash ML (2008) Synergy. Oxford: Oxford University Press.
13. Strang G (1993) Introduction to Linear Algebra. Wellesley, MA: Wellesley- Cambridge Press.
14. Golub GH, Van Loan CF (1996) Matrix Computations. Baltimore MD: Johns Hopkins University Press.
15. Latash ML, Scholz JP, Danion F, Schöner G (2002) Motor control strategies revealed in the structure of variability. Exercise Sport Sci R 30: 26-31.
16. Todorov E, Jordan MI (2002) Optimal feedback control as a theory of motor coordination. Nat Neurosci 5: 1226-1235.
17. Todorov E (2004) Optimality principles in sensorimotor control. Nat Neurosci 7: 907-915.
18. Todd JT, Norman JF (2003) The visual perception of 3D shape from multiple cues: Are observers capable of perceiving metric structure? Percept Psychophys 65: 31-47.
19. Todd JT, Oomes AHJ, Koenderink JJ, Kappers AML (2001) On the affine structure of perceptual space. Psychol Sci 12: 191-196.
20. Fasse ED, Hogan N, Kay BA, Mussa-Ivaldi FA (2000) Haptic interaction withvirtual objects. Biol Cybern 82: 69-83.
21. Soechting JF, Ross B (1984) Psychophysical determination of coordinate representation of human arm orientation. Neuroscience 13: 595-604.
22. Lee DD, Seung HS (1999) Learning the parts of objects by non-negative matrix factorization. Nature 401: 788-791.
23. Jolliffe IT (2002) Principal component analysis. New York: Springer.
24. Tenenbaum JB, de Silva V, Langford JC (2000) A global geometric framework for nonlinear dimensionality reduction. Science 290: 2319-2323.
25. d'Avella A, Bizzi E (2005) Shared and specific muscle synergies in natural motor behaviors. P Natl Acad Sci USA 102: 3076-3081.
26. Santello M, Soechting JF (2000) Force synergies for multi-fingered grasping. Exp Brain Res 133: 457-467.
27. Cusumano JP, Cesari P (2006) Body-goal variability mapping in an aiming task. Biol Cybern 94: 367-379.
28. Müller H, Sternad, D (2004) Decomposition of variability in the execution of goal-oriented tasks - Three components of skill improvement. J Exp Psychol Human 30: 212-233.
29. Müller H, Sternad, D (2009) Motor learning: Changes in the structure of variability in a redundant task. In: Sternad D, ed. Progress in Motor Control - A Multidisciplinary Perspective. New York: Springer. pp 439-456.
30. Cohen RG, Sternad D (2009) Variability in motor learning: relocating, channeling and reducing noise. Exp Brain Res 193: 69-83.
31. Müller H, Sternad, D (2003) A randomization method for the calculation of covariation in multiple nonlinear relations: Illustrated at the example of goaldirected movements. Biol Cybern 39: 22-33.
32. Schöner G, Scholz JP (2007) Analyzing variance in multi-degree-of-freedom movements: Uncovering structure versus extracting correlations. Motor Control 11: 259-275.
33. Bell AJ, Sejnowski TJ (1995) An information-maximization approach to blind separation and blind deconvolution. Neural Comput 7: 1129-1159.
34. Xi J, Chicharo JF, Tsoi AC, Siu W-C On the infomax algorithm for blind signal separation; 2000; University of Wollongong.
35. Hyvä rinen A, Oja E (2000) Independent component analysis: algorithms and applications. Neural Networks 13: 411-430.
36. Dipietro L, Krebs HI, Fasoli SE, Volpe BT, Stein J, et al. (2007) Changing motor synergies in chronic stroke. J Neurophysiol 98: 757-768.
37. Reisman DS, Scholz JP (2006) Workspace location influences joint coordination during reaching in post-stroke hemiparesis. Exp Brain Res 170: 265-276.
38. Yang JF, Scholz JP (2005) Learning a throwing task is associated with differential changes in the use of motor abundance. Exp Brain Res 163: 137-158.
39. Pellionisz A, Llinas R (1980) Tensorial approach to the geometry of brain function: Cerebellar coordination via a metric tensor. Neuroscience 5: 1125-1136.
40. Arbib MA, Amari S-I (1985) Sensori-motor transformations in the brain (with a critique of the tensor theory of cerebellum). J Theor Biol 112: 123-155.
41. Pouget A, Sejnowski TJ (1997) A new view of hemineglext based on the response properties of parietal neurones. Philos T Roy Soc B 352: 1449-1459.
42. Ivanenko YP, Grasso R, Macellari V, Lacquaniti F (2002) Control of foot trajectory in human locomotion: role of ground contact forces in simulated reduced gravity. J Neurophysiol 87: 3070-3089.
43. Smeets JBJ, Louw S (2007) The contribution of covariation to skill improvement is an ambiguous measure. J Exp Psychol Human 33: 246-249.
44. Müller H, Frank T, Sternad D (2007) Variability, covariation and invariance with respect to coordinate systems in motor control. J Exp Psychol Human 33: 250-255.
45. Newell KM, Corcos DM (1994) Issues in variability and motor control. In: Newell KM, Corcos DM, eds. Variability and motor control. Urbana- Champaign, IL: Human Kinetic Publishers. pp 1-12.
46. Newell KM, McDonald PV (1992) Searching for solutions to the coordination function: Learning as exploratory behavior. In: Stelmach GE, Requin J, eds. Tutorials in motor behavior II. Amsterdam: Elsevier. pp 517-532.
47. Riccio GE (1993) Information in movement variability about the quantitative dynamics of posture and orientation. In: Newell KM, Corcos DM, eds. Variability and motor control. Champaign, IL: Human Kinetics. pp 317-357.
48. Riley MA, Mitra S, Turvey MT (1997) Common effects of touch and vision on postural parameters. Exp Brain Res 117: 165-170.
49. Slotine JJE, Li W (1991) Applied nonlinear control. Englewood Cliffs, NJ: Prentice Hall.