What the article is talking about is using temperature probes and deciding if to run the compressor or peltier, or both depending on the temperature. That's what they are calling AI. Some if statements on a microcontroller.
In the article, the picture shows the peltier cooler is on top and the compressor is separate on the bottom. The "AI" is an adjective for the compressor only. There is little to no discrete logic in a compressor, so calling it that is nonsense.