Extrapolation onLp,∞(μ)

Visuomotor extrapolation

Accurate perception of moving objects would be useful; accurate visually guided action is crucial. Visual motion across the scene influences perceived object location and the trajectory of reaching movements to objects. In this commentary, I propose that the visual system assigns the position of any object based on the predominant motion present in the scene, and that this is used to guide reac...

Kernel extrapolation

We present a framework for efficient extrapolation of reduced rank approximations, graph kernels, and locally linear embeddings (LLE) to unseen data. We also present a principled method to combine many of these kernels and then extrapolate them. Central to our method is a theorem for matrix approximation, and an extension of the representer theorem to handle multiple joint regularization constr...

Extrapolation Error

Two kinds of error commonly arise in statistical inference. The most common one is sampling error, arising from small samples. The second is the error arising from unrepresentative samples. Such errors occur in curve-fitting examples when the curves are fitted in one domain and used for prediction in another, which might be referred to as an error of extrapolation. The problem with extrapolatio...

Extrapolation Method for Fuzzy Dierential Inclusions

Extrapolation and Bubbles

We present an extrapolative model of bubbles. In the model, many investors form their demand for a risky asset by weighing two signals—an average of the asset’s past price changes and the asset’s degree of overvaluation. The two signals are in conflict, and investors “waver” over time in the relative weight they put on them. The model predicts that good news about fundamentals can trigger large...