Unsupervised Symbolic Anomaly Detection

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Hossain, Md Maruf, Katzke, Tim, Klüttermann, Simon, Müller, Emmanuel
Format: Preprint
Published: 2026
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866908897269252096
author Hossain, Md Maruf
Katzke, Tim
Klüttermann, Simon
Müller, Emmanuel
author_facet Hossain, Md Maruf
Katzke, Tim
Klüttermann, Simon
Müller, Emmanuel
contents We propose SYRAN, an unsupervised anomaly detection method based on symbolic regression. Instead of encoding normal patterns in an opaque, high-dimensional model, our method learns an ensemble of human-readable equations that describe symbolic invariants: functions that are approximately constant on normal data. Deviations from these invariants yield anomaly scores, so that the detection logic is interpretable by construction, rather than via post-hoc explanation. Experimental results demonstrate that SYRAN is highly interpretable, providing equations that correspond to known scientific or medical relationships, and maintains strong anomaly detection performance comparable to that of state-of-the-art methods.
format Preprint
id arxiv_https___arxiv_org_abs_2603_17575
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unsupervised Symbolic Anomaly Detection
Hossain, Md Maruf
Katzke, Tim
Klüttermann, Simon
Müller, Emmanuel
Machine Learning
Artificial Intelligence
Symbolic Computation
We propose SYRAN, an unsupervised anomaly detection method based on symbolic regression. Instead of encoding normal patterns in an opaque, high-dimensional model, our method learns an ensemble of human-readable equations that describe symbolic invariants: functions that are approximately constant on normal data. Deviations from these invariants yield anomaly scores, so that the detection logic is interpretable by construction, rather than via post-hoc explanation. Experimental results demonstrate that SYRAN is highly interpretable, providing equations that correspond to known scientific or medical relationships, and maintains strong anomaly detection performance comparable to that of state-of-the-art methods.
title Unsupervised Symbolic Anomaly Detection
topic Machine Learning
Artificial Intelligence
Symbolic Computation
url https://arxiv.org/abs/2603.17575