# Decay Replay Mining to Predict Next Process Events

## TL;DR

This paper introduces a novel approach combining Petri nets with time decay functions and deep learning to improve next event prediction in complex processes, outperforming existing methods on benchmark logs.

## Contribution

It presents a new method that integrates Petri nets with time decay and deep learning for more accurate process event prediction.

## Key findings

- Significant performance improvements over state-of-the-art methods.
- Effective modeling of process states with Petri nets and time decay.
- Outperforms existing methods on nine real-world logs.

## Abstract

In complex processes, various events can happen in different sequences. The prediction of the next event given an a-priori process state is of importance in such processes. Recent methods have proposed deep learning techniques such as recurrent neural networks, developed on raw event logs, to predict the next event from a process state. However, such deep learning models by themselves lack a clear representation of the process states. At the same time, recent methods have neglected the time feature of event instances. In this paper, we take advantage of Petri nets as a powerful tool in modeling complex process behaviors considering time as an elemental variable. We propose an approach which starts from a Petri net process model constructed by a process mining algorithm. We enhance the Petri net model with time decay functions to create continuous process state samples. Finally, we use these samples in combination with discrete token movement counters and Petri net markings to train a deep learning model that predicts the next event. We demonstrate significant performance improvements and outperform the state-of-the-art methods on nine real-world benchmark event logs.