Encoding a Categorical Independent Variable for Input to TerrSet’s Multi-Layer Perceptron
Bibliographic Data
| ID | 22032626 |
|---|---|
| Authors | Emily Evenden (0000-0002-7671-3467, Clark University), Robert Gilmore Pontius (0000-0001-7287-5875, Clark University, corresponding author) |
| Year | 2021 |
| Volume | 10 |
| Issue | 10 |
| Pages | 686 |
| Publication date | 2021-10-12 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | ISPRS International Journal of Geo-Information (JOURNAL) |
| Journal identifiers | ISSN: 2220-9964 • E-ISSN: 2220-9964 |
| Publisher | MDPI AG (PUBLISHER • IT) |
| DOI | 10.3390/ijgi10100686 |
| OpenAlex | W3205295173 |
| Language | EN |
| References cited | 21 |
The profession debates how to encode a categorical variable for input to machine learning algorithms, such as neural networks. A conventional approach is to convert a categorical variable into a collection of binary variables, which causes a burdensome number of correlated variables. TerrSet’s Land Change Modeler proposes encoding a categorical variable onto the continuous closed interval from 0 to 1 based on each category’s Population Evidence Likelihood (PEL) for input to the Multi-Layer Perceptron, which is a type of neural network. We designed examples to test the wisdom of these encodings. The results show that encoding a categorical variable based on each category’s Sample Empirical Probability (SEP) produces results similar to binary encoding and superior to PEL encoding. The Multi-Layer Perceptron’s sigmoidal smoothing function can cause PEL encoding to produce nonsensical results, while SEP encoding produces straightforward results. We reveal the encoding methods by illustrating how a dependent variable gains across an independent variable that has four categories. The results show that PEL can differ substantially from SEP in ways that have important implications for practical extrapolations. If users must encode a categorical variable for input to a neural network, then we recommend SEP encoding, because SEP efficiently produces outputs that make sense
Arithmetic · Artificial neural network · Binary number · Categorical variable · ENCODE · Machine learning · Perceptron · Bayesian Modeling and Causal Inference · Computer Science · Hydrological Forecasting Using AI · Mathematics · Neural Networks and Applications · Artificial Intelligence
| Highly cited | No |
|---|