---
title: "Conformal Prediction using Ridge2"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{Conformal Prediction using Ridge2}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

**Ridge2** is a uni/multivariate nonlinear probabilistic time series model originally presented in [Multiple Time Series Forecasting Using Quasi-Randomized Functional Link Neural Networks](https://www.mdpi.com/2227-9091/6/1/22).

```{r}
library(ahead)
```

# Univariate 

## AirPassengers

```{r, fig.width=5}
plot(ahead::ridge2f(AirPassengers, h=30L, lags=20L, type_pi="conformal-split"))
```

```{r, fig.width=5}
plot(ahead::ridge2f(AirPassengers, h=30L, lags=20L, type_pi="conformal-block-bootstrap"))
```

```{r, fig.width=5}
plot(ahead::ridge2f(AirPassengers, h=30L, lags=20L, type_pi="conformal-bootstrap"))
```

## USAccDeaths

```{r, fig.width=5}
plot(ahead::ridge2f(USAccDeaths, h=20L, lags=10L, type_pi="conformal-split"))
```

```{r, fig.width=5}
plot(ahead::ridge2f(USAccDeaths, h=20L, lags=10L, type_pi="conformal-block-bootstrap"))
```

```{r, fig.width=5}
plot(ahead::ridge2f(USAccDeaths, h=20L, lags=10L, type_pi="conformal-bootstrap"))
```


# Multivariate

```{r, fig.width=5}
obj <- ahead::ridge2f(fpp2::insurance, 
                      h=10L, lags=2L, 
                      type_pi = "conformal-split")


plot(obj, "Quotes")
plot(obj, "TV.advert")
```


```{r, fig.width=7.5}
obj <- ahead::ridge2f(fpp2::insurance, 
                      n_hidden_features = 0L, 
                      h=10L, lags=1L, 
                      type_pi = "conformal-block-bootstrap")


plot(obj, "Quotes")
plot(obj, "TV.advert")
```

```{r, fig.width=7.5}
obj <- ahead::ridge2f(fpp2::insurance, 
                      h=10L, lags=2L, 
                      type_pi = "conformal-bootstrap")


plot(obj, "Quotes")
plot(obj, "TV.advert")
```

```{r, fig.width=7.2}
plot(obj, "Quotes", type = "dist")
plot(obj, "TV.advert", type = "sims")
```