Bayesian Auditory Scene Analysis

Back to main
Click on gammatonegrams in order to hear the corresponding audio!
Illposed grouping problem

Sequential grouping

The problem of sequential grouping is demonstrated in the figure to the right. An infinite number of sources could have combined to produce the observed audio. For instance, all of the tones could have been produced by a single source or they could be split up in several ways across two or three sources (A, B). Inferring tone elements from sound is also ill-posed, as multiple overlapping elements may combine to produce a long tone (C). Of course, this is just the simplest case: sequential grouping is not limited to tones and occurs in conjunction with the analysis sounds occuring simultaneously.

Bouncing auditory streams**

Tougas and Bregman (1985) interleaved rising and falling tone sequences, producing the 'X' pattern apparent below. They presented listeners with subsets of the tone elements in the 'X' pattern and asked them to rate how clearly the subset resembled something they heard in the tone sequence.
Basic X illusion
Listeners found it difficult to hear rising or falling trajectories in the mixture. Instead, listeners were strongly biased to hear the higher frequency tones as segregated from the lower frequency tones, producing two sequences that 'bounce' and return to their starting points. In the following sound, you will hear the entire 'X' pattern followed by the higher frequency 'bouncing' sequence.
X illusion compared with bouncing
In this next sound, you will hear the entire 'X' pattern followed by the falling trajectory.
X illusion compared with trajectory
Most find that it is much easier to recognize that they heard the bouncing sequence in the mixture, rather than the trajectory.
The model also prefers this grouping of tones into different sources.
Posterior samples of scenesMixture of sampled sources
Bouncing demo - Posterior sample 1, source 1 Bouncing demo - Posterior sample 1, source 2Bouncing demo - Posterior sample 1, mixture
Bouncing demo - Posterior sample 2, source 1 Bouncing demo - Posterior sample 2, source 2Bouncing demo - Posterior sample 2, mixture
Bouncing demo - Posterior sample 3, source 1 Bouncing demo - Posterior sample 3, source 2 Bouncing demo - Posterior sample 3, mixture
Tougas, Y. & Bregman, A. S. (1985). Crossing of Auditory Streams. Journal of Experimental Psychology: Human Perception and Performance, 11(6), 788-798.
Back to top
Back to main