Sonification of McMC Simulations
Authors: Thomas Hermann, Mark H. Hansen, Helge Ritter
(ICAD 2001, July/August 2001, Espoo/Finnland)
Example E0: Using audification of particle trajectories (section
3.3 in the paper).
Listen to a single particle converging to a mode in a three-modal density
function p. This example corresponds to figure 2 in the paper. Files: WAVE-file.
Listen to a similar particle with an increased friction coefficient
of 0.9996. On each step, the kinetic energy is reduced to E(t+1) = 0.9996
E(t), resulting in an exponential decay of energy. Sounds: WAVE-file
Example E1: Audification of particle trajectories started at McMC
steps (section 5.1 in the paper).
(a) The Audification of 100 McMC steps in a distribution p with
(b) This example is rendered for a data set in 6d data space with
3 clusters. To give an impression how these audifications may sound like
we give 3 examples, differing in nr. of steps (N), time between steps (TimePerStep)
and friction coefficient (gamma)
Soundfile (a): T = ##, N = ##, gamma = ## -- WAVE-file MP3-file
Soundfile (b): T = ##, N = ##, gamma = ## -- WAVE-file MP3-file
Soundfile (c): T = ##, N = ##, gamma = ## -- WAVE-file MP3-file
Example E2: Using McMC process stream, AIB stream and McMC
details stream as introduced in the paper
This examples are discussed in the paper in section 5.2.
(a) dataset: 3 clusters in 6 dimensional space. T = 0.01
(b) dataset: 3 clusters in 6 dimensional space. T = 0.002
(c) dataset: 6 clusters in 6 dimensional space, T = 0.008
(d) dataset: 3 clusters in 6 dim. space, T = 0.002, p computed by
kernel density estimation but now with a kernel of bandwidth sigma such
that p is unimodal.
Example E3: Sonification of McMC simulations for handwritten digits
(section 5.3 in the paper)
Example E4: Sonification of McMC simulations for Bayesian Models
(section 5.4 in the paper)
Example E5: Sonification of McMC simulation on iris dataset
This examples are discussed in the paper in section 5.5.
The following examples are sonification with