User control for adjusting conflicting objectives in parameter-dependent visualization of data

Dealing with high-dimensional data becomes very common nowadays; visualization is a natural preprocessing to have an overview of such data. A lot of dimensionality reduction methods exist; many of them require to tune a parameter implementing a trade-off between conflicting objectives. Automatically choosing the appropriate trade-off is usually a difficult task because in most cases the exact final goal of the visualization is ill-defined. The approach developed here aims at taking advantage of the user’s capacities and feedback by allowing him to control parameters in real-time and to see the resulting visualization. In order to have fast transitions between visualizations resulting from different values of the parameter, interpolation on a grid is used as an approximation. The accuracy of this approximation is estimated using Procrustes analysis and can be adjusted through a threshold. Simulations provide an interpretation of this threshold and are validated on a real dataset.