# Prediction in functional regression with discretely observed and noisy covariates

arXiv: https://arxiv.org/abs/2112.06486 · HTML: https://mlsanity.com/paper/2112.06486/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 13 Dec 2021.

## Built on by (most cited first, 1 of 1)

- [Functional Attentive Interpretable Regression](https://mlsanity.com/paper/2609.05846/) (2026)

## Abstract (arXiv)

In practice functional data are sampled on a discrete set of observation points and often susceptible to noise. We consider in this paper the setting where such data are used as explanatory variables in a regression problem. If the primary goal is prediction, we show that the gain by embedding the problem into a scalar-on-function regression is limited. Instead we impose a factor model on the predictors and suggest regressing the response on an appropriate number of factor scores. This approach is shown to be consistent under mild technical assumptions, numerically efficient and gives good practical performance in both simulations as well as real data settings.