Loading...
Please wait, while we are loading the content...
Similar Documents
Modeling the speed-accuracy tradeoff using the tools of information theory
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Researcher | Gori, Julien |
| Date of Submission | 2018-12-20 |
| Abstract | Fitts’ law, which relates movement time MTin a pointing task to the target’s dimensions D and Wis usually expressed by mimicking Shannon’s capacityformula MT = a + b log 2 (1 + D/W). Yet, the currentlyreceived analysis is incomplete and unsatisfactory: itstems from a vague analogy and there is no explicitcommunication model for pointing.I first develop a transmission model for pointing taskswhere the index of difficulty ID = log 2 (1 + D/W) isthe expression of both a source entropy and a chan-nel capacity, thereby reconciling Shannon’s informa-tion theory with Fitts’ law. This model is then levera-ged to analyze pointing data gathered from controlledexperiments but also from field studies.I then develop a second model which builds on thevariability of human movements and accounts for thetremendous diversity displayed by movement control:with of without feedback, intermittent or continuous.From a chronometry of the positional variance, eva-luated from a set of trajectories, it is observed thatmovement can be separated into two phases: a firstwhere the variance increases over time and wheremost of the distance to the target is covered, follo-wed by a second phase where the variance decreasesuntil it satisfies accuracy constraints. During this se-cond phase, the problem of aiming can be reduced toa Shannon-like communication problem where infor-mation is transmitted from a “source” (variance at theend of the first phase), to a “destination” (the limb ex-tremity) over a “channel” perturbed by Gaussian noisewith a feedback link. I show that the optimal solution tothis transmission problem amounts to a scheme firstsuggested by Elias. I show that the variance can de-crease at best exponentially during the second phase,and that this result induces Fitts’ law. |
| File Format | |
| Language | French English |
| Publisher Institution | Université Paris-Saclay |
| Access Restriction | Open |
| Subject Keyword | Fitts' law Shannon’s information theory Speed-accuracy trade off Model Loi de Fitts Théorie de l'information de Shannon Compromis vitesse précision Modèle info Computer Science [cs] Human-Computer Interaction [cs.HC] |
| Content Type | Text |
| Resource Type | Thesis |
