Academic Talk
How Topology Is Applied to Gestalt Principles in Auditory Perception
Format: Talk slides (PPT)
Keywords: TDA, persistent homology, Gestalt principles, auditory perception, structure, invariance
Short abstract
This talk explores how topological summaries (e.g., persistent homology) can encode structure in signals, and how these descriptors can be interpreted through the lens of Gestalt principles in auditory perception (grouping, continuity, similarity, salience). I focus on what “structure” should mean for robust perception under noise and variation, and how representation choices can be guided by perceptual principles.
What I covered
- Why topology can serve as a language for “structure” that is stable under perturbations
- How to transform auditory signals / feature sequences into objects suitable for topological analysis
- How Gestalt principles can guide the choice of features, filtrations, and what counts as meaningful persistence
- Open questions: evaluation, interpretability, and bridging “principles” to computational mechanisms
Slides