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A homographic best approximation problem with application to optimized Schwarz waveform relaxation
A homographic best approximation problem is presented and it is shown that the new waveform relaxation algorithms are well posed and converge much faster than the classical one: the number of iterations to reach a certain accuracy can be orders of magnitudes smaller.
Gaze anticipation during human locomotion
- D. Bernardin, H. Kadone, D. Bennequin, Thomas S Sugar, M. Zaoui, A. Berthoz
- PsychologyExperimental Brain Research
- 12 September 2012
A detailed investigation into the spatial and temporal anticipatory relationships among the direction of gaze and body segments during locomotion and the influence of the curvature of the trajectory and constraints of the tasks on the temporal and spatial relationships between gaze and the body segments is provided.
The Homological Nature of Entropy
It is proposed that entropy is a universal co-homological class in a theory associated to a family of observable quantities and aFamily of probability distributions, that gives rise to a new kind of topology for information processes, that accounts for the main information functions.
Motion from the past. A new method to infer vestibular capacities of extinct species
Geometry of the superior colliculus mapping and efficient oculomotor computation
- Nicolas Tabareau, D. Bennequin, A. Berthoz, J. Slotine, B. Girard
- BiologyBiological Cybernetics
- 2 October 2007
A theory involving the motor function of the superior colliculus to explain the geometry of its maps is provided and six hypotheses are used to show that linear and logarithmic mappings are the only ones compatible with the generation of saccadic motor command.
Assessing morphology and function of the semicircular duct system: introducing new in-situ visualization and software toolbox
A new, easy-to-apply and non-invasive method for three-dimensional in-situ visualization and quantification of the semicircular duct system, using X-ray micro tomography and tissue staining with phosphotungstic acid is presented and Ariadne, a software toolbox which provides comprehensive and improved morphological and functional analysis of any visualized duct system is introduced.
A mathematical model of embodied consciousness.
The Projective Consciousness Model and Phenomenal Selfhood
It is argued that the PCM, though still in development, offers the most complete theory to date of what Thomas Metzinger has called “phenomenal selfhood” and fits well into a (neuro)computationalist framework.
Differences in gaze anticipation for locomotion with and without vision
- Colas N. Authié, P. Hilt, S. N'Guyen, A. Berthoz, D. Bennequin
- PsychologyFront. Hum. Neurosci.
- 8 June 2015
A fundamental function of gaze is to represent self motion, stabilize the perception of space during locomotion, and to simulate the future trajectory, regardless of the vision condition, which suggests that anticipation remains in darkness but with different characteristics.
Movement Timing and Invariance Arise from Several Geometries
It is proposed that movement duration and compositionality arise from cooperation among Euclidian, equi-affine and full affine geometries, and that for continuous movements, the actual movement duration reflects a particular tensorial mixture of these canonical parameters.