In process mining, process enhancement, also sometimes called model enhancement, focuses on improving an existing process model  ([https://appian.com/process-mining/model-enhancement](https://appian.com/process-mining/model-enhancement)). It leverages the real-world data captured in event logs to identify areas for improvement in the existing model. Here's how it differs from process discovery and conformance checking:

**Process Enhancement:**

* **Goal:** Takes an existing process model (discovered earlier or a reference model) and improves it based on real-world data. 
* **Data used:** Relies on event logs containing information about how the process is actually executed.
* **Outcome:**  An enhanced process model that reflects the reality of how the process is done, potentially highlighting bottlenecks, deviations, or opportunities for optimization.

**Process Discovery:**

* **Goal:** Discovers a process model entirely from scratch based on event logs. 
* **Data used:** Same as process enhancement - event logs.
* **Outcome:** Creates a new process model depicting the actual flow of the process, useful when there's no documented model or the documented model is outdated.

**Conformance Checking:**

* **Goal:** Compares an existing process model (can be discovered or a reference model) with the actual process captured in event logs. 
* **Data used:** Similar to process enhancement, it uses event logs.
* **Outcome:**  Identifies how well the existing process model reflects reality, highlighting deviations and areas where the model and reality don't align.

**In simpler terms:**

* **Think of process enhancement as renovating your house.** You already have a floor plan (existing model), but use real data (event logs) to identify improvements like fixing leaks (bottlenecks) or adding an extension (extending the process). 
* **Process discovery is like building a whole new house from scratch** based on the blueprints (event logs) of existing similar houses.
* **Conformance checking is like comparing the architect's drawings (model) to the finished house (event logs)** to see if they match.

I hope this clarifies the concept of process enhancement and its distinction from process discovery and conformance checking!